1/(sqrt((x + 1) * (y + 1)) - sqrt(x * y))

Time bar (total: 6.1s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze266.0ms (4.4%)

Memory
0.2MiB live, 79.1MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.2%99.8%0%0%0%0
0%0%0.2%99.8%0%0%0%1
0%0%0.2%99.8%0%0%0%2
0%0%0.2%99.8%0%0%0%3
0%0%0.2%99.8%0%0%0%4
25%0.1%0.2%99.8%0%0%0%5
25%0.1%0.2%99.8%0%0%0%6
37.5%0.1%0.2%99.8%0%0%0%7
37.5%0.1%0.2%99.8%0%0%0%8
43.7%0.1%0.1%99.8%0%0%0%9
43.7%0.1%0.1%99.8%0%0%0%10
46.9%0.1%0.1%99.8%0%0%0%11
46.9%0.1%0.1%99.8%0%0%0%12
Compiler

Compiled 31 to 23 computations (25.8% saved)

sample1.8s (29.3%)

Memory
103.6MiB live, 908.5MiB allocated
Samples
1.1s8 254×0valid
0.0ms1valid
Precisions
Click to see histograms. Total time spent on operations: 806.0ms
ival-mult: 250.0ms (31% of total)
ival-add: 158.0ms (19.6% of total)
ival-sqrt: 119.0ms (14.8% of total)
ival-<=: 118.0ms (14.6% of total)
ival-div: 59.0ms (7.3% of total)
ival-sub: 48.0ms (6% of total)
ival-and: 27.0ms (3.4% of total)
exact: 23.0ms (2.9% of total)
ival-assert: 4.0ms (0.5% of total)
adjust: 0.0ms (0% of total)
Bogosity

explain243.0ms (4%)

Memory
-51.2MiB live, 172.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-1(3862.4204808265604 31.94655851926695)(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
30-0-(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
30-0-(sqrt.f64 (*.f64 x y))
00-0-(+.f64 x #s(literal 1 binary64))
00-0-(+.f64 y #s(literal 1 binary64))
00-0-#s(literal 1 binary64)
00-0-(*.f64 x y)
00-0-y
00-0-(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
00-0-(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))cancellation1261
sqrt.f64(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))oflow-rescue30
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))overflow3
sqrt.f64(sqrt.f64 (*.f64 x y))oflow-rescue30
(*.f64 x y)overflow3
Confusion
Predicted +Predicted -
+1261
-0129
Precision
1.0
Recall
0.9921259842519685
Confusion?
Predicted +Predicted MaybePredicted -
+12610
-00129
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
0130
1123
33
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
157.0ms512×0valid
Compiler

Compiled 137 to 37 computations (73% saved)

Precisions
Click to see histograms. Total time spent on operations: 138.0ms
ival-sub: 62.0ms (44.9% of total)
ival-add: 57.0ms (41.2% of total)
ival-mult: 7.0ms (5.1% of total)
ival-sqrt: 7.0ms (5.1% of total)
ival-div: 3.0ms (2.2% of total)
ival-true: 1.0ms (0.7% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess203.0ms (3.3%)

Memory
57.0MiB live, 87.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02983
18579
219179
341679
4103879
5207879
6305679
7332879
8347479
9352479
10353079
11353079
12354279
13354279
01115
01915
13315
26215
39615
419015
524815
628515
731215
836415
939815
1042015
042015
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
Symmetry

(sort x y)

Compiler

Compiled 15 to 11 computations (26.7% saved)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 0 to 2 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
85.3%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify13.0ms (0.2%)

Memory
17.0MiB live, 17.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
cost-diff0
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01159
01959
13359
26259
39659
419059
524859
628559
731259
836459
939859
1042059
042059
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
(-.f64 (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 x #s(literal 1 binary64)))
(+.f64 x #s(literal 1 binary64))
x
(+.f64 y #s(literal 1 binary64))
y
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(*.f64 x y)
(*.f64 y x)

localize83.0ms (1.4%)

Memory
7.5MiB live, 58.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.28125
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
accuracy0.773233712090739
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
accuracy0.8513587159674314
(sqrt.f64 (*.f64 x y))
accuracy8.641373903091678
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
Samples
75.0ms256×0valid
Compiler

Compiled 61 to 13 computations (78.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-mult: 6.0ms (38.6% of total)
ival-sqrt: 4.0ms (25.7% of total)
ival-add: 3.0ms (19.3% of total)
ival-div: 2.0ms (12.9% of total)
ival-sub: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
47.2MiB live, 47.2MiB allocated
Counts
5 → 84
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x y))
Outputs
(/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y))))
(+ (* -1/2 (* (/ x (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)) (sqrt (+ 1 y)))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(+ (* x (- (* -1 (* x (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (sqrt (+ 1 y)) (/ (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))) (- (sqrt (+ 1 y)) (sqrt (* x y)))))) (+ (* 1/16 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))) (* 1/16 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))))))) (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(- (sqrt (+ 1 y)) (sqrt (* x y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (* x (sqrt (+ 1 y))))) (sqrt (* x y)))
(- (+ (sqrt (+ 1 y)) (* x (+ (* -1/8 (* x (sqrt (+ 1 y)))) (* 1/2 (sqrt (+ 1 y)))))) (sqrt (* x y)))
(- (+ (sqrt (+ 1 y)) (* x (+ (* 1/2 (sqrt (+ 1 y))) (* x (+ (* -1/8 (sqrt (+ 1 y))) (* 1/16 (* x (sqrt (+ 1 y))))))))) (sqrt (* x y)))
(sqrt (+ 1 y))
(+ (sqrt (+ 1 y)) (* 1/2 (* x (sqrt (+ 1 y)))))
(+ (sqrt (+ 1 y)) (* x (+ (* -1/8 (* x (sqrt (+ 1 y)))) (* 1/2 (sqrt (+ 1 y))))))
(+ (sqrt (+ 1 y)) (* x (+ (* 1/2 (sqrt (+ 1 y))) (* x (+ (* -1/8 (sqrt (+ 1 y))) (* 1/16 (* x (sqrt (+ 1 y)))))))))
(+ 1 y)
(+ 1 (+ y (* x (+ 1 y))))
(sqrt (* x y))
(/ 1 (* x (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x)))))
(/ (+ (* -1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2)))) (/ 1 (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* x (+ 1 y)) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3))) (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))) (pow x 4))) (/ 1 (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* x (+ 1 y))) (/ (+ (* -1/4 (/ (* x (+ 1 y)) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3))) (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))) (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x)))))) (+ (* 1/16 (* (sqrt (* (pow x 5) (+ 1 y))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2)))) (* 1/16 (/ (* (pow x 2) (+ 1 y)) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3))))) (pow x 6))) (/ 1 (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))) (+ (* -1/4 (/ (+ 1 y) (* (pow x 3) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3)))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2)))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))))) x)
(* x (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))
(* x (- (+ (sqrt (/ (+ 1 y) x)) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))) (sqrt (/ y x))))
(* x (- (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))))) (sqrt (/ y x))))
(* x (- (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (+ (* 1/16 (sqrt (/ (+ 1 y) (pow x 7)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))))) (sqrt (/ y x))))
(sqrt (* x (+ 1 y)))
(* x (+ (sqrt (/ (+ 1 y) x)) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))))
(* x (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))))))
(* x (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (+ (* 1/16 (sqrt (/ (+ 1 y) (pow x 7)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))))))
(* x (+ 1 y))
(* x (+ 1 (+ y (+ (/ 1 x) (/ y x)))))
(/ -1 (* x (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* x (+ 1 y)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 3))))) (pow x 4))) (/ 1 (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* x (+ 1 y))) (/ (+ (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* x (+ 1 y)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 3))))) (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))) (+ (* 1/16 (* (sqrt (* (pow x 5) (+ 1 y))) (/ 1 (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) (* 1/16 (/ (* (pow x 2) (+ 1 y)) (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 3)))))) (pow x 6))) (/ 1 (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) (+ (* 1/4 (/ (+ 1 y) (* (pow x 3) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 3))))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))))) x))
(* -1 (* x (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2))) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)))) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 y) (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2))))) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (+ 1 y))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 y) (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (+ 1 y) x)))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(/ 1 (- (sqrt (+ 1 x)) (sqrt (* x y))))
(+ (* -1/2 (* (/ y (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2)) (sqrt (+ 1 x)))) (/ 1 (- (sqrt (+ 1 x)) (sqrt (* x y)))))
(+ (* y (- (* -1 (* y (+ (* -1/4 (/ (+ 1 x) (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 x)) (sqrt (* x y)))))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1/2 (* (sqrt (+ 1 x)) (/ (+ (* -1/4 (/ (+ 1 x) (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2))))) (- (sqrt (+ 1 x)) (sqrt (* x y)))))) (+ (* 1/16 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2)))) (* 1/16 (/ (+ 1 x) (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 3))))))) (+ (* -1/4 (/ (+ 1 x) (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 x)) (sqrt (* x y)))))
(- (sqrt (+ 1 x)) (sqrt (* x y)))
(- (+ (sqrt (+ 1 x)) (* 1/2 (* y (sqrt (+ 1 x))))) (sqrt (* x y)))
(- (+ (sqrt (+ 1 x)) (* y (+ (* -1/8 (* y (sqrt (+ 1 x)))) (* 1/2 (sqrt (+ 1 x)))))) (sqrt (* x y)))
(- (+ (sqrt (+ 1 x)) (* y (+ (* 1/2 (sqrt (+ 1 x))) (* y (+ (* -1/8 (sqrt (+ 1 x))) (* 1/16 (* y (sqrt (+ 1 x))))))))) (sqrt (* x y)))
(sqrt (+ 1 x))
(+ (sqrt (+ 1 x)) (* 1/2 (* y (sqrt (+ 1 x)))))
(+ (sqrt (+ 1 x)) (* y (+ (* -1/8 (* y (sqrt (+ 1 x)))) (* 1/2 (sqrt (+ 1 x))))))
(+ (sqrt (+ 1 x)) (* y (+ (* 1/2 (sqrt (+ 1 x))) (* y (+ (* -1/8 (sqrt (+ 1 x))) (* 1/16 (* y (sqrt (+ 1 x)))))))))
(+ 1 x)
(+ 1 (+ x (* y (+ 1 x))))
(/ 1 (* y (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))))
(/ (+ (* -1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2)))) (/ 1 (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))))) y)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* y (+ 1 x)) (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 3))) (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2))))) (pow y 4))) (/ 1 (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2))))) y)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* y (+ 1 x))) (/ (+ (* -1/4 (/ (* y (+ 1 x)) (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 3))) (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2))))) (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))))) (+ (* 1/16 (* (sqrt (* (pow y 5) (+ 1 x))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2)))) (* 1/16 (/ (* (pow y 2) (+ 1 x)) (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 3))))) (pow y 6))) (/ 1 (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))))) (+ (* -1/4 (/ (+ 1 x) (* (pow y 3) (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 3)))) (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2)))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2))))))) y)
(* y (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))))
(* y (- (+ (sqrt (/ (+ 1 x) y)) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))) (sqrt (/ x y))))
(* y (- (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))))) (sqrt (/ x y))))
(* y (- (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (+ (* 1/16 (sqrt (/ (+ 1 x) (pow y 7)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))))) (sqrt (/ x y))))
(sqrt (* y (+ 1 x)))
(* y (+ (sqrt (/ (+ 1 x) y)) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))))
(* y (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))))))
(* y (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (+ (* 1/16 (sqrt (/ (+ 1 x) (pow y 7)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))))))
(* y (+ 1 x))
(* y (+ 1 (+ x (+ (/ 1 y) (/ x y)))))
(/ -1 (* y (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2)))) (/ 1 (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))) y))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* y (+ 1 x)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3))))) (pow y 4))) (/ 1 (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) y))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* y (+ 1 x))) (/ (+ (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* y (+ 1 x)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3))))) (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))) (+ (* 1/16 (* (sqrt (* (pow y 5) (+ 1 x))) (/ 1 (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (* 1/16 (/ (* (pow y 2) (+ 1 x)) (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3)))))) (pow y 6))) (/ 1 (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (+ (* 1/4 (/ (+ 1 x) (* (pow y 3) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3))))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))))) y))
(* -1 (* y (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (* y (- (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (* y (- (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (* y (- (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 x) (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2))))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y (+ 1 x))) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 x) (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ (+ 1 x) y)))))
Calls

6 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
((/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (sqrt (* (+ x 1) (+ y 1))) (* (+ x 1) (+ y 1)) (sqrt (* x y)))
5.0ms
y
@-inf
((/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (sqrt (* (+ x 1) (+ y 1))) (* (+ x 1) (+ y 1)) (sqrt (* x y)))
5.0ms
x
@inf
((/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (sqrt (* (+ x 1) (+ y 1))) (* (+ x 1) (+ y 1)) (sqrt (* x y)))
4.0ms
y
@0
((/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (sqrt (* (+ x 1) (+ y 1))) (* (+ x 1) (+ y 1)) (sqrt (* x y)))
4.0ms
y
@inf
((/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (sqrt (* (+ x 1) (+ y 1))) (* (+ x 1) (+ y 1)) (sqrt (* x y)))

simplify198.0ms (3.2%)

Memory
25.7MiB live, 75.1MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04853756
115223306
258603236
084283086
Stop Event
iter limit
node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y))))
(+ (* -1/2 (* (/ x (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)) (sqrt (+ 1 y)))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(+ (* x (- (* -1 (* x (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (sqrt (+ 1 y)) (/ (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))) (- (sqrt (+ 1 y)) (sqrt (* x y)))))) (+ (* 1/16 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))) (* 1/16 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))))))) (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(- (sqrt (+ 1 y)) (sqrt (* x y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (* x (sqrt (+ 1 y))))) (sqrt (* x y)))
(- (+ (sqrt (+ 1 y)) (* x (+ (* -1/8 (* x (sqrt (+ 1 y)))) (* 1/2 (sqrt (+ 1 y)))))) (sqrt (* x y)))
(- (+ (sqrt (+ 1 y)) (* x (+ (* 1/2 (sqrt (+ 1 y))) (* x (+ (* -1/8 (sqrt (+ 1 y))) (* 1/16 (* x (sqrt (+ 1 y))))))))) (sqrt (* x y)))
(sqrt (+ 1 y))
(+ (sqrt (+ 1 y)) (* 1/2 (* x (sqrt (+ 1 y)))))
(+ (sqrt (+ 1 y)) (* x (+ (* -1/8 (* x (sqrt (+ 1 y)))) (* 1/2 (sqrt (+ 1 y))))))
(+ (sqrt (+ 1 y)) (* x (+ (* 1/2 (sqrt (+ 1 y))) (* x (+ (* -1/8 (sqrt (+ 1 y))) (* 1/16 (* x (sqrt (+ 1 y)))))))))
(+ 1 y)
(+ 1 (+ y (* x (+ 1 y))))
(sqrt (* x y))
(/ 1 (* x (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x)))))
(/ (+ (* -1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2)))) (/ 1 (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* x (+ 1 y)) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3))) (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))) (pow x 4))) (/ 1 (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* x (+ 1 y))) (/ (+ (* -1/4 (/ (* x (+ 1 y)) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3))) (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))) (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x)))))) (+ (* 1/16 (* (sqrt (* (pow x 5) (+ 1 y))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2)))) (* 1/16 (/ (* (pow x 2) (+ 1 y)) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3))))) (pow x 6))) (/ 1 (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))) (+ (* -1/4 (/ (+ 1 y) (* (pow x 3) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3)))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2)))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))))) x)
(* x (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))
(* x (- (+ (sqrt (/ (+ 1 y) x)) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))) (sqrt (/ y x))))
(* x (- (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))))) (sqrt (/ y x))))
(* x (- (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (+ (* 1/16 (sqrt (/ (+ 1 y) (pow x 7)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))))) (sqrt (/ y x))))
(sqrt (* x (+ 1 y)))
(* x (+ (sqrt (/ (+ 1 y) x)) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))))
(* x (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))))))
(* x (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (+ (* 1/16 (sqrt (/ (+ 1 y) (pow x 7)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))))))
(* x (+ 1 y))
(* x (+ 1 (+ y (+ (/ 1 x) (/ y x)))))
(/ -1 (* x (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2)))) (/ 1 (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* x (+ 1 y)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 3))))) (pow x 4))) (/ 1 (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) x))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* x (+ 1 y))) (/ (+ (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* x (+ 1 y)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 3))))) (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))) (+ (* 1/16 (* (sqrt (* (pow x 5) (+ 1 y))) (/ 1 (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) (* 1/16 (/ (* (pow x 2) (+ 1 y)) (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 3)))))) (pow x 6))) (/ 1 (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))) (+ (* 1/4 (/ (+ 1 y) (* (pow x 3) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 3))))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2))) 2))))))) x))
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(* -1 (* x (- (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2))) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)))) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
(* -1 (* x (- (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 y) (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2))))) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* x (+ 1 y))) (pow (sqrt -1) 2)))
(* -1 (* x (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2))))))
(* -1 (* x (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 y) (pow x 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))) (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)))))))
(* -1 (* x (+ (* -1 (+ 1 y)) (* -1 (/ (+ 1 y) x)))))
(* -1 (* (sqrt (* x y)) (pow (sqrt -1) 2)))
(/ 1 (- (sqrt (+ 1 x)) (sqrt (* x y))))
(+ (* -1/2 (* (/ y (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2)) (sqrt (+ 1 x)))) (/ 1 (- (sqrt (+ 1 x)) (sqrt (* x y)))))
(+ (* y (- (* -1 (* y (+ (* -1/4 (/ (+ 1 x) (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 x)) (sqrt (* x y)))))
(+ (* y (- (* y (- (* -1 (* y (+ (* -1/2 (* (sqrt (+ 1 x)) (/ (+ (* -1/4 (/ (+ 1 x) (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2))))) (- (sqrt (+ 1 x)) (sqrt (* x y)))))) (+ (* 1/16 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2)))) (* 1/16 (/ (+ 1 x) (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 3))))))) (+ (* -1/4 (/ (+ 1 x) (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 x)) (/ 1 (pow (- (sqrt (+ 1 x)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 x)) (sqrt (* x y)))))
(- (sqrt (+ 1 x)) (sqrt (* x y)))
(- (+ (sqrt (+ 1 x)) (* 1/2 (* y (sqrt (+ 1 x))))) (sqrt (* x y)))
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(sqrt (+ 1 x))
(+ (sqrt (+ 1 x)) (* 1/2 (* y (sqrt (+ 1 x)))))
(+ (sqrt (+ 1 x)) (* y (+ (* -1/8 (* y (sqrt (+ 1 x)))) (* 1/2 (sqrt (+ 1 x))))))
(+ (sqrt (+ 1 x)) (* y (+ (* 1/2 (sqrt (+ 1 x))) (* y (+ (* -1/8 (sqrt (+ 1 x))) (* 1/16 (* y (sqrt (+ 1 x)))))))))
(+ 1 x)
(+ 1 (+ x (* y (+ 1 x))))
(/ 1 (* y (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))))
(/ (+ (* -1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2)))) (/ 1 (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))))) y)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* y (+ 1 x)) (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 3))) (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2))))) (pow y 4))) (/ 1 (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2))))) y)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* y (+ 1 x))) (/ (+ (* -1/4 (/ (* y (+ 1 x)) (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 3))) (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2))))) (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))))) (+ (* 1/16 (* (sqrt (* (pow y 5) (+ 1 x))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2)))) (* 1/16 (/ (* (pow y 2) (+ 1 x)) (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 3))))) (pow y 6))) (/ 1 (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))))) (+ (* -1/4 (/ (+ 1 x) (* (pow y 3) (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 3)))) (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2)))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) 2))))))) y)
(* y (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))))
(* y (- (+ (sqrt (/ (+ 1 x) y)) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))) (sqrt (/ x y))))
(* y (- (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))))) (sqrt (/ x y))))
(* y (- (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (+ (* 1/16 (sqrt (/ (+ 1 x) (pow y 7)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))))) (sqrt (/ x y))))
(sqrt (* y (+ 1 x)))
(* y (+ (sqrt (/ (+ 1 x) y)) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))))
(* y (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))))))
(* y (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (+ (* 1/16 (sqrt (/ (+ 1 x) (pow y 7)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))))))
(* y (+ 1 x))
(* y (+ 1 (+ x (+ (/ 1 y) (/ x y)))))
(/ -1 (* y (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2)))) (/ 1 (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))) y))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* y (+ 1 x)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3))))) (pow y 4))) (/ 1 (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) y))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* y (+ 1 x))) (/ (+ (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* y (+ 1 x)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3))))) (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))) (+ (* 1/16 (* (sqrt (* (pow y 5) (+ 1 x))) (/ 1 (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (* 1/16 (/ (* (pow y 2) (+ 1 x)) (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3)))))) (pow y 6))) (/ 1 (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (+ (* 1/4 (/ (+ 1 x) (* (pow y 3) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3))))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))))) y))
(* -1 (* y (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (* y (- (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (* y (- (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (* y (- (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 x) (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2))))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(* -1 (* (sqrt (* y (+ 1 x))) (pow (sqrt -1) 2)))
(* -1 (* y (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 x) (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)))))))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ (+ 1 x) y)))))
Outputs
(/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))))
(+ (* -1/2 (* (/ x (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)) (sqrt (+ 1 y)))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (/.f64 x (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x)))))
(+ (* x (- (* -1 (* x (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(fma.f64 (fma.f64 (neg.f64 x) (fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/4 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))) (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x)))))
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(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/4 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x)))) (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))))) (/.f64 (fma.f64 #s(literal 1/16 binary64) y #s(literal 1/16 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))) x (fma.f64 (/.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/4 binary64)) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 3 binary64)))))) x (/.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (pow.f64 (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x))) #s(literal 2 binary64)))) x (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x)))))
(- (sqrt (+ 1 y)) (sqrt (* x y)))
(-.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 y x)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (* x (sqrt (+ 1 y))))) (sqrt (* x y)))
(-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 y x)))
(- (+ (sqrt (+ 1 y)) (* x (+ (* -1/8 (* x (sqrt (+ 1 y)))) (* 1/2 (sqrt (+ 1 y)))))) (sqrt (* x y)))
(-.f64 (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (*.f64 #s(literal -1/8 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 y x)))
(- (+ (sqrt (+ 1 y)) (* x (+ (* 1/2 (sqrt (+ 1 y))) (* x (+ (* -1/8 (sqrt (+ 1 y))) (* 1/16 (* x (sqrt (+ 1 y))))))))) (sqrt (* x y)))
(-.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64))))) (sqrt.f64 (*.f64 y x)))
(sqrt (+ 1 y))
(sqrt.f64 (+.f64 #s(literal 1 binary64) y))
(+ (sqrt (+ 1 y)) (* 1/2 (* x (sqrt (+ 1 y)))))
(*.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)))
(+ (sqrt (+ 1 y)) (* x (+ (* -1/8 (* x (sqrt (+ 1 y)))) (* 1/2 (sqrt (+ 1 y))))))
(*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 x (*.f64 #s(literal -1/8 binary64) x) (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64))))
(+ (sqrt (+ 1 y)) (* x (+ (* 1/2 (sqrt (+ 1 y))) (* x (+ (* -1/8 (sqrt (+ 1 y))) (* 1/16 (* x (sqrt (+ 1 y)))))))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x x) (*.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (fma.f64 #s(literal 1/16 binary64) x #s(literal -1/8 binary64)))))
(+ 1 y)
(+.f64 #s(literal 1 binary64) y)
(+ 1 (+ y (* x (+ 1 y))))
(*.f64 (+.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))
(sqrt (* x y))
(sqrt.f64 (*.f64 y x))
(/ 1 (* x (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x)))))
(/.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))))
(/ (+ (* -1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2)))) (/ 1 (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))) x)
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))))) x)
(/ (- (+ (* -1 (/ (+ (* -1/4 (/ (* x (+ 1 y)) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3))) (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))) (pow x 4))) (/ 1 (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))) x)
(/.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/4 binary64)) x) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 3 binary64)))) (pow.f64 x #s(literal 4 binary64)))) x)
(/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* x (+ 1 y))) (/ (+ (* -1/4 (/ (* x (+ 1 y)) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3))) (* -1/8 (* (sqrt (* (pow x 3) (+ 1 y))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))) (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x)))))) (+ (* 1/16 (* (sqrt (* (pow x 5) (+ 1 y))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2)))) (* 1/16 (/ (* (pow x 2) (+ 1 y)) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3))))) (pow x 6))) (/ 1 (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))) (+ (* -1/4 (/ (+ 1 y) (* (pow x 3) (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 3)))) (+ (* -1/8 (* (sqrt (/ (+ 1 y) (pow x 5))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2)))) (* 1/2 (* (sqrt (/ (+ 1 y) (pow x 3))) (/ 1 (pow (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))) 2))))))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 y x x)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) y))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) y #s(literal -1/4 binary64)) x) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) (*.f64 (fma.f64 x (/.f64 (fma.f64 y x x) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) y))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) #s(literal 2 binary64)))) #s(literal 1/16 binary64))) (pow.f64 x #s(literal 6 binary64)))) x)
(* x (- (sqrt (/ (+ 1 y) x)) (sqrt (/ y x))))
(*.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x))) x)
(* x (- (+ (sqrt (/ (+ 1 y) x)) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))) (sqrt (/ y x))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))) x)
(* x (- (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3)))))) (sqrt (/ y x))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)))) (sqrt.f64 (/.f64 y x))) x)
(* x (- (+ (sqrt (/ (+ 1 y) x)) (+ (* -1/8 (sqrt (/ (+ 1 y) (pow x 5)))) (+ (* 1/16 (sqrt (/ (+ 1 y) (pow x 7)))) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))))) (sqrt (/ y x))))
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) x)
(sqrt (* x (+ 1 y)))
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(* x (+ (sqrt (/ (+ 1 y) x)) (* 1/2 (sqrt (/ (+ 1 y) (pow x 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) x)
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(* x (+ 1 y))
(fma.f64 y x x)
(* x (+ 1 (+ y (+ (/ 1 x) (/ y x)))))
(fma.f64 (+.f64 (+.f64 y (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) x x)
(/ -1 (* x (- (* (sqrt (/ (+ 1 y) x)) (pow (sqrt -1) 2)) (* (sqrt (/ y x)) (pow (sqrt -1) 2)))))
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(* y (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))))
(*.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) y)
(* y (- (+ (sqrt (/ (+ 1 x) y)) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))) (sqrt (/ x y))))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)
(* y (- (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))))) (sqrt (/ x y))))
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(* y (- (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (+ (* 1/16 (sqrt (/ (+ 1 x) (pow y 7)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))))) (sqrt (/ x y))))
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(sqrt (* y (+ 1 x)))
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(* y (+ (sqrt (/ (+ 1 x) y)) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))))
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) y)
(* y (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))))))
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(* y (+ (sqrt (/ (+ 1 x) y)) (+ (* -1/8 (sqrt (/ (+ 1 x) (pow y 5)))) (+ (* 1/16 (sqrt (/ (+ 1 x) (pow y 7)))) (* 1/2 (sqrt (/ (+ 1 x) (pow y 3))))))))
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(* y (+ 1 x))
(fma.f64 y x y)
(* y (+ 1 (+ x (+ (/ 1 y) (/ x y)))))
(fma.f64 (+.f64 (+.f64 x (/.f64 x y)) (/.f64 #s(literal 1 binary64) y)) y y)
(/ -1 (* y (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(/.f64 (/.f64 #s(literal -1 binary64) y) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))))
(* -1 (/ (+ (* -1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2)))) (/ 1 (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))) y))
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))) (neg.f64 y))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* y (+ 1 x)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3))))) (pow y 4))) (/ 1 (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) y))
(/.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))) (/.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 y x y) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))))) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 y))
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* y (+ 1 x))) (/ (+ (* -1/8 (* (sqrt (* (pow y 3) (+ 1 x))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (* 1/4 (/ (* y (+ 1 x)) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3))))) (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))) (+ (* 1/16 (* (sqrt (* (pow y 5) (+ 1 x))) (/ 1 (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (* 1/16 (/ (* (pow y 2) (+ 1 x)) (* (pow (sqrt -1) 4) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3)))))) (pow y 6))) (/ 1 (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))))) (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))) (+ (* 1/4 (/ (+ 1 x) (* (pow y 3) (* (pow (sqrt -1) 2) (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 3))))) (* 1/2 (* (sqrt (/ (+ 1 x) (pow y 3))) (/ 1 (pow (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2))) 2))))))) y))
(/.f64 (-.f64 (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) (/.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64))))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal 1/2 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/4 binary64) x #s(literal 1/4 binary64)) (neg.f64 (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (neg.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/4 binary64) (/.f64 (fma.f64 y x y) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))))) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)))) (*.f64 (+.f64 (/.f64 (/.f64 (*.f64 (fma.f64 y x y) y) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))) (/.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))) #s(literal 1/16 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 y))
(* -1 (* y (- (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 (neg.f64 y)) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))
(* -1 (* y (- (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(*.f64 (fma.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 1 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal -1/2 binary64))) y)
(* -1 (* y (- (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64) (sqrt.f64 (/.f64 x y))))))
(* -1 (* y (- (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 x) (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2))))) (* (sqrt (/ x y)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 y) (+.f64 (sqrt.f64 (/.f64 x y)) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))))
(* -1 (* (sqrt (* y (+ 1 x))) (pow (sqrt -1) 2)))
(sqrt.f64 (fma.f64 y x y))
(* -1 (* y (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)))))
(*.f64 (neg.f64 y) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(* -1 (* y (+ (* -1/8 (* (sqrt (/ (+ 1 x) (pow y 5))) (/ 1 (pow (sqrt -1) 2)))) (+ (* 1/16 (* (sqrt (/ (+ 1 x) (pow y 7))) (/ 1 (pow (sqrt -1) 4)))) (+ (* 1/2 (sqrt (/ (+ 1 x) (pow y 3)))) (* (sqrt (/ (+ 1 x) y)) (pow (sqrt -1) 2)))))))
(*.f64 (neg.f64 y) (fma.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (neg.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)))))))
(* -1 (* y (+ (* -1 (+ 1 x)) (* -1 (/ (+ 1 x) y)))))
(fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y) y (fma.f64 y x y))

rewrite291.0ms (4.8%)

Memory
-103.3MiB live, 59.8MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
01947
18547
262447
3736447
0835543
Stop Event
iter limit
node limit
iter limit
Counts
5 → 502
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))))
(*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (*.f64 x y))
Outputs
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(*.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 y))
(*.f64 (sqrt.f64 (*.f64 (sqrt.f64 y) x)) (sqrt.f64 (sqrt.f64 y)))
(*.f64 (sqrt.f64 (sqrt.f64 x)) (sqrt.f64 (*.f64 y (sqrt.f64 x))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 y x))) (sqrt.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 y) x) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 y) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y (sqrt.f64 x)) #s(literal 1/2 binary64)))
(*.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 y)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (/.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 y) (/.f64 (sqrt.f64 x) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 y) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 y) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (neg.f64 (neg.f64 (sqrt.f64 y))))
(*.f64 (sqrt.f64 x) (sqrt.f64 y))
(*.f64 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (*.f64 y x))))
(*.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x)))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(pow.f64 (*.f64 y x) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 y x))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (*.f64 y x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (sqrt.f64 (*.f64 y x))))
(neg.f64 (neg.f64 (sqrt.f64 (*.f64 y x))))
(sqrt.f64 (*.f64 y x))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (*.f64 y x))))
(fabs.f64 (sqrt.f64 (*.f64 y x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 y x))))

eval83.0ms (1.4%)

Memory
-28.2MiB live, 59.4MiB allocated
Compiler

Compiled 19 720 to 2 614 computations (86.7% saved)

prune53.0ms (0.9%)

Memory
48.9MiB live, 48.9MiB allocated
Pruning

46 alts after pruning (45 fresh and 1 done)

PrunedKeptTotal
New53745582
Fresh000
Picked011
Done000
Total53746583
Accuracy
97.2%
Counts
583 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (sqrt.f64 (*.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
70.0%
(/.f64 (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))) (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))))
79.2%
(/.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))) (fma.f64 (neg.f64 x) y (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))
79.2%
(/.f64 (pow.f64 (fma.f64 (neg.f64 x) y (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))) #s(literal -1 binary64)))
60.2%
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (-.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
73.4%
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
63.9%
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
64.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 3/2 binary64)))) (-.f64 (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
85.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
85.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
84.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
85.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
84.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (/.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
85.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
85.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
70.7%
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (/.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
68.6%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
61.0%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (fma.f64 y x x))) (sqrt.f64 (*.f64 x y))))
85.1%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 y (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
85.2%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
84.4%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
68.8%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
85.4%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
85.4%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x)) y)) (sqrt.f64 (*.f64 x y))))
85.4%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
68.8%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
61.0%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (*.f64 x y))))
85.2%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x))))
85.3%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
85.0%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) x (fma.f64 y x x)))) (sqrt.f64 (*.f64 x y))))
84.9%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (+.f64 (+.f64 y (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) x x))) (sqrt.f64 (*.f64 x y))))
59.6%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
50.4%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
8.0%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
33.0%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)))) (sqrt.f64 (/.f64 y x))) x)))
26.9%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))) x)))
77.2%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
60.4%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) y)))
46.1%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) x)))
85.8%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
63.8%
(*.f64 (/.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))) (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))
79.1%
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (sqrt.f64 (*.f64 y x)))) #s(literal -1 binary64)))
76.0%
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))) y))
60.4%
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))))
57.3%
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/4 binary64)) y) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)))) y))
55.0%
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/4 binary64)) y) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) (*.f64 (fma.f64 y (/.f64 (fma.f64 y x y) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))) #s(literal 1/16 binary64))) (pow.f64 y #s(literal 6 binary64)))) y))
Compiler

Compiled 3 511 to 1 841 computations (47.6% saved)

simplify150.0ms (2.5%)

Memory
-41.3MiB live, 37.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
cost-diff0
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
cost-diff18
(fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))))
cost-diff0
(-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y)))
cost-diff0
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)
cost-diff0
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
cost-diff0
(sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
cost-diff0
(-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
cost-diff6
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
cost-diff0
#s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y)))
cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
cost-diff0
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)
cost-diff0
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
cost-diff1
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075903
0135915
1223907
2433893
31145857
43575857
56414835
08221831
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
#s(literal 1 binary64)
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y))
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))
(+.f64 #s(literal 1 binary64) x)
x
(pow.f64 y #s(literal 7 binary64))
y
#s(literal 7 binary64)
#s(literal 1/16 binary64)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))
(pow.f64 y #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))
(/.f64 (+.f64 #s(literal 1 binary64) x) y)
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
x
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
y
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 y #s(literal 1 binary64))
y
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x y))
(*.f64 x y)
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
#s(literal 1 binary64)
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) x)
x
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))
(/.f64 (+.f64 #s(literal 1 binary64) x) y)
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
#s(literal 1 binary64)
(fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(+.f64 y #s(literal 1 binary64))
y
(+.f64 x #s(literal 1 binary64))
x
(/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))
(sqrt.f64 y)
(sqrt.f64 x)
(sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))
(exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))
(+.f64 (log1p.f64 y) (log1p.f64 x))
(log1p.f64 y)
(log1p.f64 x)
(neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))
(/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))
(*.f64 y x)
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 (/.f64 x y))))) y)))
#s(literal 1 binary64)
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y))
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 (/.f64 x y))))) y))
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)
(*.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 (/.f64 x y))))) y)
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (-.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 7 binary64)))) (sqrt.f64 (/.f64 x y)))))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 7 binary64)))) (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))))))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64))))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 7 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 7 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
x
(pow.f64 y #s(literal 7 binary64))
y
#s(literal 7 binary64)
#s(literal 1/16 binary64)
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))
(fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 5 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))))))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64))))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 5 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 5 binary64)))
(pow.f64 y #s(literal 5 binary64))
#s(literal 5 binary64)
#s(literal -1/8 binary64)
(*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(pow.f64 y #s(literal 3 binary64))
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))
(-.f64 (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y)) (sqrt.f64 (/.f64 x y)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 #s(literal 1 binary64) x) y)
(/.f64 (-.f64 x #s(literal -1 binary64)) y)
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y x))))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y)))
(-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (-.f64 x #s(literal -1 binary64)))) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x)))
(sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (-.f64 x #s(literal -1 binary64))))
#s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))
#s(approx (* (+ x 1) (+ y 1)) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
x
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
y
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))) (sqrt.f64 (*.f64 y x))))
#s(literal 1 binary64)
(-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
(-.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))) (sqrt.f64 (*.f64 y x)))
(sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))
(*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))
(*.f64 (-.f64 y #s(literal -1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(fma.f64 x x #s(literal -1 binary64))
x
#s(literal -1 binary64)
(+.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal -1 binary64))
y
(-.f64 x #s(literal 1 binary64))
(sqrt.f64 (*.f64 x y))
(sqrt.f64 (*.f64 y x))
(*.f64 x y)
(*.f64 y x)
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (sqrt.f64 (/.f64 x y))) y)))
#s(literal 1 binary64)
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y))
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (sqrt.f64 (/.f64 x y))) y))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)
(*.f64 (-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (sqrt.f64 (/.f64 x y))) y)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))) (sqrt.f64 (/.f64 x y)))
(fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)))
(fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64))))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))
(/.f64 (-.f64 x #s(literal -1 binary64)) (pow.f64 y #s(literal 3 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
x
(pow.f64 y #s(literal 3 binary64))
y
#s(literal 3 binary64)
#s(literal 1/2 binary64)
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))
(sqrt.f64 (/.f64 (-.f64 x #s(literal -1 binary64)) y))
(/.f64 (+.f64 #s(literal 1 binary64) x) y)
(/.f64 (-.f64 x #s(literal -1 binary64)) y)
(sqrt.f64 (/.f64 x y))
(/.f64 x y)
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (-.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))
#s(literal 1 binary64)
(fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))))
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (-.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (-.f64 x #s(literal -1 binary64)))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (-.f64 y #s(literal -1 binary64)))
(+.f64 y #s(literal 1 binary64))
(-.f64 y #s(literal -1 binary64))
y
(+.f64 x #s(literal 1 binary64))
(-.f64 x #s(literal -1 binary64))
x
(/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 y #s(literal -1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))
(fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))
(fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))
(sqrt.f64 y)
(sqrt.f64 x)
(sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))
(sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))
(exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))
(exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))
(+.f64 (log1p.f64 y) (log1p.f64 x))
(+.f64 (log1p.f64 x) (log1p.f64 y))
(log1p.f64 y)
(log1p.f64 x)
(neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))
(/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))
(/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))
(/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))
(*.f64 y x)

localize185.0ms (3%)

Memory
0.5MiB live, 77.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.773233712090739
(sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))
accuracy1.0724271165787393
(/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))
accuracy3.8362406986862227
(exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))
accuracy8.116779603242605
(fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))))
accuracy0.7694470929166968
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))
accuracy6.019800035352603
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y))
accuracy8.576871267406233
(-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y)))
accuracy10.980481007135007
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))))
accuracy0.773233712090739
(sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
accuracy0.7836373965883985
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
accuracy0.8513587159674314
(sqrt.f64 (*.f64 x y))
accuracy8.641373903091678
(-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
accuracy0.773233712090739
(sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x)))
accuracy0.8513587159674314
(sqrt.f64 (*.f64 x y))
accuracy8.641373903091678
(-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y)))
accuracy58.41313783007301
#s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))
accuracy3.5815511356836613
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64))))
accuracy5.571635597111019
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64))))
accuracy8.54784878637182
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))
accuracy10.980481007135007
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))))
Samples
129.0ms256×0valid
Compiler

Compiled 825 to 71 computations (91.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 92.0ms
ival-mult: 19.0ms (20.5% of total)
ival-sqrt: 19.0ms (20.5% of total)
ival-div: 17.0ms (18.4% of total)
ival-add: 12.0ms (13% of total)
ival-pow: 8.0ms (8.7% of total)
ival-log1p: 6.0ms (6.5% of total)
ival-sub: 5.0ms (5.4% of total)
ival-exp: 4.0ms (4.3% of total)
exact: 1.0ms (1.1% of total)
ival-neg: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series340.0ms (5.6%)

Memory
-67.6MiB live, 74.4MiB allocated
Counts
29 → 386
Calls
Call 1
Inputs
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y))
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))))
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64))))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64))))
(sqrt.f64 (*.f64 x y))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))
(exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))
(/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))
(sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))
Outputs
(- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) (sqrt (/ x y)))
(- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* -1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/32 (sqrt (/ 1 (pow y 7)))) (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))))))) (sqrt (/ x y)))
(- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* -1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/32 (sqrt (/ 1 (pow y 7)))) (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (+ (* -1/128 (sqrt (/ 1 (pow y 7)))) (* 1/64 (sqrt (/ 1 (pow y 5))))))))))))))))) (sqrt (/ x y)))
(- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* -1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/32 (sqrt (/ 1 (pow y 7)))) (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (+ (* -1/128 (sqrt (/ 1 (pow y 7)))) (+ (* 1/64 (sqrt (/ 1 (pow y 5)))) (* x (+ (* -1/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/256 (sqrt (/ 1 (pow y 7)))) (+ (* 1/32 (sqrt (/ 1 (pow y 3)))) (* 1/16 (sqrt (/ 1 y))))))))))))))))))))) (sqrt (/ x y)))
(/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y))))
(+ (* -1/2 (* (/ x (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)) (sqrt (+ 1 y)))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(+ (* x (- (* -1 (* x (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(+ (* x (- (* x (- (* -1 (* x (+ (* -1/2 (* (sqrt (+ 1 y)) (/ (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))) (- (sqrt (+ 1 y)) (sqrt (* x y)))))) (+ (* 1/16 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))) (* 1/16 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))))))) (+ (* -1/4 (/ (+ 1 y) (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 3))) (* -1/8 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2))))))) (* 1/2 (* (sqrt (+ 1 y)) (/ 1 (pow (- (sqrt (+ 1 y)) (sqrt (* x y))) 2)))))) (/ 1 (- (sqrt (+ 1 y)) (sqrt (* x y)))))
(- (sqrt (+ 1 y)) (sqrt (* x y)))
(- (+ (sqrt (+ 1 y)) (* 1/2 (* x (sqrt (+ 1 y))))) (sqrt (* x y)))
(- (+ (sqrt (+ 1 y)) (* x (+ (* -1/8 (* x (sqrt (+ 1 y)))) (* 1/2 (sqrt (+ 1 y)))))) (sqrt (* x y)))
(- (+ (sqrt (+ 1 y)) (* x (+ (* 1/2 (sqrt (+ 1 y))) (* x (+ (* -1/8 (sqrt (+ 1 y))) (* 1/16 (* x (sqrt (+ 1 y))))))))) (sqrt (* x y)))
(* y (- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) (sqrt (/ x y))))
(+ (* x (* y (+ (* -1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/32 (sqrt (/ 1 (pow y 7)))) (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))))) (* y (- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) (sqrt (/ x y)))))
(+ (* x (+ (* x (* y (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (+ (* -1/128 (sqrt (/ 1 (pow y 7)))) (* 1/64 (sqrt (/ 1 (pow y 5))))))))) (* y (+ (* -1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/32 (sqrt (/ 1 (pow y 7)))) (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))))) (* y (- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) (sqrt (/ x y)))))
(+ (* x (+ (* x (+ (* x (* y (+ (* -1/128 (sqrt (/ 1 (pow y 5)))) (+ (* 1/256 (sqrt (/ 1 (pow y 7)))) (+ (* 1/32 (sqrt (/ 1 (pow y 3)))) (* 1/16 (sqrt (/ 1 y)))))))) (* y (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (+ (* -1/128 (sqrt (/ 1 (pow y 7)))) (* 1/64 (sqrt (/ 1 (pow y 5)))))))))) (* y (+ (* -1/16 (sqrt (/ 1 (pow y 5)))) (+ (* 1/32 (sqrt (/ 1 (pow y 7)))) (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))))) (* y (- (+ (sqrt (/ 1 y)) (+ (* -1/8 (sqrt (/ 1 (pow y 5)))) (+ (* 1/16 (sqrt (/ 1 (pow y 7)))) (* 1/2 (sqrt (/ 1 (pow y 3))))))) (sqrt (/ x y)))))
(sqrt (+ 1 y))
(+ (sqrt (+ 1 y)) (* 1/2 (* x (sqrt (+ 1 y)))))
(+ (sqrt (+ 1 y)) (* x (+ (* -1/8 (* x (sqrt (+ 1 y)))) (* 1/2 (sqrt (+ 1 y))))))
(+ (sqrt (+ 1 y)) (* x (+ (* 1/2 (sqrt (+ 1 y))) (* x (+ (* -1/8 (sqrt (+ 1 y))) (* 1/16 (* x (sqrt (+ 1 y)))))))))
(+ 1 y)
(+ 1 (+ y (* x (+ 1 y))))
(* y (- (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3))))) (sqrt (/ x y))))
(+ (* x (* y (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y)))))) (* y (- (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3))))) (sqrt (/ x y)))))
(+ (* x (+ (* x (* y (+ (* -1/8 (sqrt (/ 1 y))) (* -1/16 (sqrt (/ 1 (pow y 3))))))) (* y (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (* y (- (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3))))) (sqrt (/ x y)))))
(+ (* x (+ (* x (+ (* x (* y (+ (* 1/32 (sqrt (/ 1 (pow y 3)))) (* 1/16 (sqrt (/ 1 y)))))) (* y (+ (* -1/8 (sqrt (/ 1 y))) (* -1/16 (sqrt (/ 1 (pow y 3)))))))) (* y (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (* y (- (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3))))) (sqrt (/ x y)))))
(- (+ (sqrt (/ 1 y)) (* 1/2 (sqrt (/ 1 (pow y 3))))) (sqrt (/ x y)))
(- (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (* 1/2 (sqrt (/ 1 y))))))) (sqrt (/ x y)))
(- (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 y))) (* -1/16 (sqrt (/ 1 (pow y 3))))))))))) (sqrt (/ x y)))
(- (+ (sqrt (/ 1 y)) (+ (* 1/2 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 1/4 (sqrt (/ 1 (pow y 3)))) (+ (* 1/2 (sqrt (/ 1 y))) (* x (+ (* -1/8 (sqrt (/ 1 y))) (+ (* -1/16 (sqrt (/ 1 (pow y 3)))) (* x (+ (* 1/32 (sqrt (/ 1 (pow y 3)))) (* 1/16 (sqrt (/ 1 y))))))))))))) (sqrt (/ x y)))
(+ (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (/ y (+ (sqrt (* x y)) (sqrt (+ 1 y)))))
(+ (* x (- (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (* 1/2 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2)))))) (+ (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (/ y (+ (sqrt (* x y)) (sqrt (+ 1 y))))))
(+ (* x (- (+ (* x (- (* 1/2 (* (/ y (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2)) (sqrt (+ 1 y)))) (+ (* -1/8 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2)))) (* 1/2 (* (sqrt (+ 1 y)) (/ (- (+ (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (/ y (+ (sqrt (* x y)) (sqrt (+ 1 y))))) (* 1/2 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2))))) (+ (sqrt (* x y)) (sqrt (+ 1 y))))))))) (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y))))) (* 1/2 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2)))))) (+ (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (/ y (+ (sqrt (* x y)) (sqrt (+ 1 y))))))
(+ (* x (- (+ (* x (- (+ (* 1/2 (* (/ y (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2)) (sqrt (+ 1 y)))) (* x (- (+ (* -1/4 (/ (* y (+ 1 y)) (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 3))) (* -1/8 (* (/ y (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2)) (sqrt (+ 1 y))))) (+ (* -1/2 (* (sqrt (+ 1 y)) (/ (+ (* -1/8 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2)))) (* 1/2 (* (sqrt (+ 1 y)) (/ (- (+ (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (/ y (+ (sqrt (* x y)) (sqrt (+ 1 y))))) (* 1/2 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2))))) (+ (sqrt (* x y)) (sqrt (+ 1 y))))))) (+ (sqrt (* x y)) (sqrt (+ 1 y)))))) (+ (* -1/8 (* (sqrt (+ 1 y)) (/ (- (+ (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (/ y (+ (sqrt (* x y)) (sqrt (+ 1 y))))) (* 1/2 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2))))) (+ (sqrt (* x y)) (sqrt (+ 1 y)))))) (* 1/16 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2))))))))) (+ (* -1/8 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2)))) (* 1/2 (* (sqrt (+ 1 y)) (/ (- (+ (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (/ y (+ (sqrt (* x y)) (sqrt (+ 1 y))))) (* 1/2 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2))))) (+ (sqrt (* x y)) (sqrt (+ 1 y))))))))) (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y))))) (* 1/2 (* (sqrt (pow (+ 1 y) 3)) (/ 1 (pow (+ (sqrt (* x y)) (sqrt (+ 1 y))) 2)))))) (+ (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (/ y (+ (sqrt (* x y)) (sqrt (+ 1 y))))))
(/ 1 (+ (/ 1 (+ (sqrt (* x y)) (sqrt (+ 1 y)))) (/ y (+ (sqrt (* x y)) (sqrt (+ 1 y))))))
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Calls

6 calls:

TimeVariablePointExpression
168.0ms
y
@-inf
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43.0ms
x
@-inf
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32.0ms
y
@inf
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30.0ms
x
@0
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29.0ms
x
@inf
((+ (+ (* (sqrt (/ (+ 1 x) (pow y 7))) 1/16) (+ (* (sqrt (/ (+ 1 x) (pow y 5))) -1/8) (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2))) (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))) (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (* (+ (+ (* (sqrt (/ (+ 1 x) (pow y 7))) 1/16) (+ (* (sqrt (/ (+ 1 x) (pow y 5))) -1/8) (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2))) (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))) y) (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (sqrt (* (+ x 1) (+ y 1))) (* (+ x 1) (+ y 1)) (/ (* (+ (* x x) -1) (+ y 1)) (- x 1)) (/ 1 (- (sqrt (/ (* (+ (* x x) -1) (+ y 1)) (- x 1))) (sqrt (* x y)))) (- (sqrt (/ (* (+ (* x x) -1) (+ y 1)) (- x 1))) (sqrt (* x y))) (sqrt (/ (* (+ (* x x) -1) (+ y 1)) (- x 1))) (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) (+ (* (* (sqrt (+ y 1)) (+ x 1)) (/ (sqrt (+ y 1)) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))) (neg (/ (* y x) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x))))))))) (/ 1 (+ (* (* (sqrt (+ y 1)) (+ x 1)) (/ (sqrt (+ y 1)) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))) (neg (/ (* y x) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))))) (* (sqrt (+ y 1)) (+ x 1)) (sqrt (+ y 1)) (sqrt (/ (+ 1 x) (pow y 3))) (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (sqrt (/ (+ 1 x) (pow y 5))) (sqrt (/ (+ 1 x) (pow y 7))) (sqrt (* x y)) (/ (+ 1 x) (pow y 3)) (exp (+ (log (+ 1 y)) (log (+ 1 x)))) (/ (* y x) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x))))))) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x))))))

simplify295.0ms (4.8%)

Memory
16.3MiB live, 103.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0263534184
1751732141
0873930612
Stop Event
iter limit
node limit
Counts
386 → 386
Calls
Call 1
Inputs
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(+ (* -1 (sqrt (* x y))) (* -1 (/ (+ (* -1 (* (/ y (pow (sqrt -1) 2)) (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow y 3) x)) (/ (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (* 1/2 (* (/ y (pow (sqrt -1) 2)) (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))))))) y))) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y #s(literal -1 binary64)) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(literal -1 binary64))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64))))) y))) y) (neg.f64 (sqrt.f64 (*.f64 x y))))
(+ (* -1 (sqrt (* x y))) (* -1 (/ (+ (* -1 (* (/ y (pow (sqrt -1) 2)) (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow y 3) x)) (/ (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (* y (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))) x)) (+ (* -1 (* (sqrt (/ (pow y 3) x)) (/ (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))) (* 1/2 (* (/ y (pow (sqrt -1) 2)) (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))))))))) (+ (* 1/8 (* (/ y (pow (sqrt -1) 2)) (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))))) (* 1/2 (* (sqrt (/ (pow y 3) x)) (/ (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))) (pow (sqrt -1) 2)))))) y)) (* 1/2 (* (/ y (pow (sqrt -1) 2)) (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))))))) y))) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -1 binary64) (fma.f64 (/.f64 y #s(literal -1 binary64)) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) (/.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(literal -1 binary64))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))) (neg.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (*.f64 y (/.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64)) x))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 y #s(literal -1 binary64))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))) (neg.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)))))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) x))) (/.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 y #s(literal -1 binary64))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64)))))) y)))) y))) y) (neg.f64 (sqrt.f64 (*.f64 x y))))
(sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))))
(sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64)))
(+ (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))) (* 1/2 (* (/ 1 y) (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))))
(+ (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))) (* -1 (/ (+ (* -1/2 (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))))) (* 1/8 (* (/ 1 y) (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))))))) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))) (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))))) y) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))))
(+ (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))))) (* 1/16 (* (/ 1 y) (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y)))))))))) y)) (* -1/2 (sqrt (exp (+ (log -1) (+ (log (+ 1 x)) (* -1 (log (/ -1 y))))))))) y)))
(fma.f64 #s(literal -1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))))) y))) y) (sqrt.f64 (*.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (log.f64 (/.f64 #s(literal -1 binary64) y)) (log1p.f64 x))) #s(literal -1 binary64))))

rewrite210.0ms (3.4%)

Memory
0.2MiB live, 75.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075621
0135633
1546558
24718558
08110550
Stop Event
iter limit
node limit
iter limit
Counts
29 → 861
Calls
Call 1
Inputs
(+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y))
(*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x)))
#s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
(sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
#s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y))
(*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y)))
(fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))
(sqrt.f64 (+.f64 y #s(literal 1 binary64)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64))))
(-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64))))
(sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64))))
(sqrt.f64 (*.f64 x y))
(/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))
(exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))
(/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))
(sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))
Outputs
(*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal -7/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal -5/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y)) #s(literal 2 binary64))) (pow.f64 (-.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal -7/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal -5/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y)) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal -7/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal -5/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y)) (-.f64 (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal -7/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal -5/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))))) (pow.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal -7/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal -5/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))) #s(literal 2 binary64))) #s(literal -1 binary64)))
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(fma.f64 (+.f64 x #s(literal 1 binary64)) y (+.f64 x #s(literal 1 binary64)))
(fma.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 1 binary64) (fma.f64 y x y))
(fma.f64 x (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(fma.f64 #s(literal 1 binary64) (+.f64 x #s(literal 1 binary64)) (fma.f64 y x y))
(sqrt.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (log1p.f64 x) (log1p.f64 y))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))
(+.f64 (*.f64 x (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 x (+.f64 y #s(literal 1 binary64))))
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) x) (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)))
(+.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal 1 binary64)) x))
(+.f64 (fma.f64 y x y) (+.f64 x #s(literal 1 binary64)))
(+.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y x y))
(*.f64 (/.f64 (*.f64 y x) (-.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (-.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))
(*.f64 (/.f64 (*.f64 y x) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) #s(literal 3/2 binary64)))) (fma.f64 y x (-.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))))
(*.f64 (/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) y)
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) #s(literal -1 binary64)) (*.f64 y x))
(*.f64 (*.f64 (neg.f64 y) x) (pow.f64 (neg.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) #s(literal -1 binary64)))
(*.f64 (*.f64 y x) (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) #s(literal -1 binary64)))
(*.f64 y (/.f64 x (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
(*.f64 x (/.f64 y (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
(*.f64 x (*.f64 y (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) #s(literal -1 binary64))))
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
(pow.f64 (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x)) #s(literal -1 binary64))
(/.f64 (*.f64 (*.f64 y x) #s(literal 1 binary64)) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))
(/.f64 (neg.f64 (*.f64 (neg.f64 y) x)) (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))))
(/.f64 (*.f64 (neg.f64 y) x) (neg.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
(/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x)))
(neg.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
(exp.f64 (*.f64 (log.f64 (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(*.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))
(*.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) #s(literal 1/4 binary64)) (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (*.f64 (neg.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (pow.f64 (pow.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (pow.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64))))
(*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))) #s(literal 1 binary64))
(pow.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) #s(literal 1/2 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (neg.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64)))) (sqrt.f64 (fma.f64 #s(literal -1 binary64) x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (-.f64 x #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))) #s(literal -1 binary64))))
(sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))
(exp.f64 (*.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)) #s(literal 1/2 binary64)))

eval219.0ms (3.6%)

Memory
-3.4MiB live, 154.6MiB allocated
Compiler

Compiled 89 328 to 7 493 computations (91.6% saved)

prune121.0ms (2%)

Memory
34.7MiB live, 114.3MiB allocated
Pruning

82 alts after pruning (81 fresh and 1 done)

PrunedKeptTotal
New1 177511 228
Fresh103040
Picked505
Done011
Total1 192821 274
Accuracy
99.2%
Counts
1 274 → 82
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.2%
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (sqrt.f64 (*.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
79.2%
(/.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))) (fma.f64 (neg.f64 x) y (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))
79.2%
(/.f64 (pow.f64 (fma.f64 (neg.f64 x) y (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))) #s(literal -1 binary64)))
60.2%
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (-.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
84.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
84.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
34.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
85.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
85.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
84.5%
(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (pow.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))))
35.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
85.2%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
34.3%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (*.f64 y x)))))
85.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
85.0%
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
73.9%
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 (neg.f64 y) x))) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))))
73.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x))) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))))
84.2%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x))) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x)))))
84.8%
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 y x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
68.6%
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
84.5%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))))
85.1%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 y (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
85.2%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
85.4%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
85.4%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x)) y)) (sqrt.f64 (*.f64 x y))))
85.4%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
68.8%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
85.2%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x))))
85.3%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
58.7%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (/ (* (+ (* x x) -1) (+ y 1)) (- x 1)) (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
85.0%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) x (fma.f64 y x x)))) (sqrt.f64 (*.f64 x y))))
59.6%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
50.4%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
85.3%
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y) (neg.f64 (+.f64 #s(literal 1 binary64) x))))))) (sqrt.f64 (*.f64 x y))))
60.4%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (/ (* (+ (* x x) -1) (+ y 1)) (- x 1))) (sqrt (* x y))) (*.f64 y (-.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x y))))))
77.0%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) y (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) y))))
77.3%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (/.f64 x y)) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))))))
77.0%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 x y)))) y)))
76.8%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
77.1%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
85.8%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal -7/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal -5/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) y)))
67.0%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) y)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)))
77.8%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 x y)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)))
77.4%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y)))
76.7%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (/.f64 (-.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) (sqrt.f64 y)) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))) (sqrt.f64 x))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))) (sqrt.f64 y))) y)))
77.2%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y y)) y)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
33.0%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)))) (sqrt.f64 (/.f64 y x))) x)))
26.9%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))) x)))
77.2%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (/.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))))) (/.f64 (/.f64 x y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))))) y)))
60.4%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) y)))
46.1%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) x)))
85.8%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
75.7%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) y))) (/.f64 (pow.f64 (/.f64 x y) #s(literal 3/2 binary64)) (+.f64 (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) y))))) y)))
86.1%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))) (/.f64 (/.f64 x y) (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))))) y)))
40.4%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))) x))) y)))
47.5%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) x))) y)))
48.2%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))) x))) y)))
28.1%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) y)))
59.0%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 #s(approx (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 y y))) y)))
42.6%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 #s(approx (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) (*.f64 x (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 7 binary64)) y))) (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (pow.f64 y #s(literal 3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))))))))) y)))
33.1%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 x (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))))))
66.3%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) y))))
27.7%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 x (fma.f64 (/.f64 y x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))))))
46.7%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 y (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 y (/.f64 (fma.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) y)))) (pow.f64 x #s(literal 6 binary64))) (*.f64 (/.f64 y x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)))) x)))))))))
39.3%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 y (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)))) x))))))))
8.8%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
5.9%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
58.9%
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (+ (+ (* (sqrt (/ (+ 1 x) (pow y 7))) 1/16) (+ (* (sqrt (/ (+ 1 x) (pow y 5))) -1/8) (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2))) (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))) y) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (pow.f64 y #s(literal 3 binary64))))))
58.4%
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (sqrt (+ y 1)) (+ x 1)) (/ (sqrt (+ y 1)) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))) (neg (/ (* y x) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x))))))))) (+.f64 (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))))))
73.4%
(*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (-.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))
84.5%
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (neg.f64 y) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
77.4%
(*.f64 (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y)) #s(literal -1/2 binary64)))
85.9%
(*.f64 (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal -7/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal -5/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))))) y)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal -7/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal -5/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))))) y)) #s(literal -1/2 binary64)))
63.8%
(*.f64 (/.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))) (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (*.f64 y x) #s(literal 2 binary64)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))
84.5%
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 y x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))) #s(literal -1 binary64)))
79.1%
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (sqrt.f64 (*.f64 y x)))) #s(literal -1 binary64)))
77.1%
(exp.f64 (*.f64 (log.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y))) #s(literal -1 binary64)))
76.0%
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))) y))
60.4%
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))))
57.3%
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (-.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/4 binary64)) y) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64)))) (pow.f64 y #s(literal 4 binary64)))) y))
55.0%
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/4 binary64)) y) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) (*.f64 (fma.f64 y (/.f64 (fma.f64 y x y) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))) #s(literal 1/16 binary64))) (pow.f64 y #s(literal 6 binary64)))) y))
59.6%
#s(approx (/ 1 (+ (* (* (sqrt (+ y 1)) (+ x 1)) (/ (sqrt (+ y 1)) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))) (neg (/ (* y x) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))))) (fma.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) x) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 y x)) (+.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))) (sqrt.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 y)) (log1p.f64 x)))) (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (/.f64 y x)) (+.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (*.f64 x y))))) (fma.f64 (sqrt.f64 (exp.f64 (fma.f64 #s(literal -1 binary64) (neg.f64 (log.f64 y)) (log1p.f64 x)))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 y x)) (+.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (+.f64 #s(literal 1 binary64) x)) (pow.f64 (fma.f64 (sqrt.f64 (/.f64 y x)) (+.f64 #s(literal 1 binary64) x) (neg.f64 (sqrt.f64 (*.f64 x y)))) #s(literal 2 binary64)))))))
Compiler

Compiled 9 549 to 3 141 computations (67.1% saved)

regimes84.0ms (1.4%)

Memory
-31.8MiB live, 46.1MiB allocated
Counts
97 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x)) y)) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
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(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 (neg.f64 y) x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x))) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) #s(literal 1 binary64))) (*.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (/.f64 (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))) (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (+.f64 x #s(literal 1 binary64)) #s(literal 3/2 binary64)) (/.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 3/2 binary64)))) (-.f64 (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) (fma.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64))) (/.f64 (/.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/4 binary64)) (pow.f64 y #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (fma.f64 y x y)) #s(literal -1/2 binary64)) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/8 binary64) (/.f64 (*.f64 (fma.f64 #s(literal -1/4 binary64) x #s(literal -1/4 binary64)) y) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) (*.f64 (fma.f64 y (/.f64 (fma.f64 y x y) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 3 binary64))) (/.f64 (sqrt.f64 (*.f64 (pow.f64 y #s(literal 5 binary64)) (+.f64 #s(literal 1 binary64) x))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64)))) #s(literal 1/16 binary64))) (pow.f64 y #s(literal 6 binary64)))) y))
(/.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) #s(literal 2 binary64))) (*.f64 (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 3/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 3/2 binary64))) (-.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (/.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) #s(literal 2 binary64)) (pow.f64 (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) #s(literal 2 binary64)))) (-.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))) (fma.f64 y x (sqrt.f64 (*.f64 (*.f64 y x) (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))))) (neg.f64 (/.f64 (pow.f64 (*.f64 y x) #s(literal 3/2 binary64)) (fma.f64 (sqrt.f64 (*.f64 y x)) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (fma.f64 y x (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
(*.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (+.f64 x #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 3/2 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (-.f64 (/.f64 (*.f64 (neg.f64 y) x) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))))) (pow.f64 (*.f64 (/.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))) (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64))))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))) x))) y)))
Calls

4 calls:

22.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
19.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
18.0ms
y
18.0ms
x
Results
AccuracySegmentsBranch
98.0%2x
97.9%2y
97.0%2(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
97.4%2(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes60.0ms (1%)

Memory
35.4MiB live, 35.4MiB allocated
Counts
72 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x)) y)) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (/ (* (+ (* x x) -1) (+ y 1)) (- x 1)) (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) x (fma.f64 y x x)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y) (neg.f64 (+.f64 #s(literal 1 binary64) x))))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (+.f64 (+.f64 y (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) x x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 y (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (/ (* (+ (* x x) -1) (+ y 1)) (- x 1))) (sqrt (* x y))) (*.f64 y (-.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 #s(approx (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 y y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (sqrt (+ y 1)) (+ x 1)) (/ (sqrt (+ y 1)) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))) (neg (/ (* y x) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x))))))))) (+.f64 (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
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(/.f64 (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x))))) (fma.f64 (neg.f64 x) y (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 x (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 y (/.f64 (fma.f64 #s(literal -1/16 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) y)))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 y x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)))) x))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))) (neg.f64 (/.f64 (*.f64 y x) (fma.f64 (sqrt.f64 y) (sqrt.f64 x) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))))))))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) x))) y)))
Calls

4 calls:

14.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
14.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
14.0ms
x
14.0ms
y
Results
AccuracySegmentsBranch
95.4%2(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
95.9%2(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
95.9%2y
96.2%2x
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes17.0ms (0.3%)

Memory
-68.5MiB live, 11.1MiB allocated
Counts
65 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x)) y)) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (/ (* (+ (* x x) -1) (+ y 1)) (- x 1)) (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) x (fma.f64 y x x)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y) (neg.f64 (+.f64 #s(literal 1 binary64) x))))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (+.f64 (+.f64 y (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) x x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 y (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (/ (* (+ (* x x) -1) (+ y 1)) (- x 1))) (sqrt (* x y))) (*.f64 y (-.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 #s(approx (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 y y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (sqrt (+ y 1)) (+ x 1)) (/ (sqrt (+ y 1)) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))) (neg (/ (* y x) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x))))))))) (+.f64 (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y y)) y)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (fma.f64 y x x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) y (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 x (fma.f64 (/.f64 y x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (+ (+ (* (sqrt (/ (+ 1 x) (pow y 7))) 1/16) (+ (* (sqrt (/ (+ 1 x) (pow y 5))) -1/8) (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2))) (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))) y) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 x y)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)))) (sqrt.f64 (/.f64 y x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 x (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))))))
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))) y))
(exp.f64 (*.f64 (log.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 y x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) #s(literal 2 binary64)) (/.f64 x y)) y) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)))) x))) y)))
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (sqrt.f64 (*.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (-.f64 (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 y) (log1p.f64 x)))) (sqrt.f64 (*.f64 y x)))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal -1 binary64) (sqrt.f64 (/.f64 x y)) (fma.f64 #s(literal 1/16 binary64) (*.f64 (pow.f64 y #s(literal -7/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 y #s(literal -5/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (fma.f64 (pow.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 2 binary64)) #s(literal 1/4 binary64) (neg.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) (pow.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (/.f64 x y)))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (-.f64 (pow.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) #s(literal 3/2 binary64)) (pow.f64 (/.f64 x y) #s(literal 3/2 binary64))) (pow.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)) (/.f64 x y)) (/.f64 (+.f64 x #s(literal 1 binary64)) y)) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))) (/.f64 (/.f64 x y) (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y)))))) y)))
(*.f64 (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y)) #s(literal -1/2 binary64)) (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y)) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 y x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y))))))) #s(literal -1 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) x)))
Calls

1 calls:

13.0ms
x
Results
AccuracySegmentsBranch
96.2%2x
Compiler

Compiled 1 to 2 computations (-100% saved)

regimes45.0ms (0.7%)

Memory
27.3MiB live, 27.3MiB allocated
Counts
53 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x)) y)) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (/ (* (+ (* x x) -1) (+ y 1)) (- x 1)) (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) x (fma.f64 y x x)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y) (neg.f64 (+.f64 #s(literal 1 binary64) x))))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (+.f64 (+.f64 y (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) x x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 y (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (/ (* (+ (* x x) -1) (+ y 1)) (- x 1))) (sqrt (* x y))) (*.f64 y (-.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 #s(approx (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 y y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (sqrt (+ y 1)) (+ x 1)) (/ (sqrt (+ y 1)) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))) (neg (/ (* y x) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x))))))))) (+.f64 (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y y)) y)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (fma.f64 y x x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) y (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 x (fma.f64 (/.f64 y x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (+ (+ (* (sqrt (/ (+ 1 x) (pow y 7))) 1/16) (+ (* (sqrt (/ (+ 1 x) (pow y 5))) -1/8) (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2))) (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))) y) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 x y)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)))) (sqrt.f64 (/.f64 y x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 x (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))))))
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))) y))
(exp.f64 (*.f64 (log.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 y x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
Calls

4 calls:

11.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
11.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
10.0ms
x
10.0ms
y
Results
AccuracySegmentsBranch
85.8%1(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
85.8%1y
85.8%1(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
85.8%1x
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes45.0ms (0.7%)

Memory
27.0MiB live, 27.0MiB allocated
Counts
52 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y x)) y)) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (/ (* (+ (* x x) -1) (+ y 1)) (- x 1)) (/.f64 (*.f64 y (fma.f64 x x #s(literal -1 binary64))) (-.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x) x (fma.f64 y x x)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) x) y) (neg.f64 (+.f64 #s(literal 1 binary64) x))))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 (+.f64 (+.f64 y (/.f64 y x)) (/.f64 #s(literal 1 binary64) x)) x x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 y (sqrt.f64 x)) (sqrt.f64 x) (+.f64 y (+.f64 x #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (sqrt.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (/ (* (+ (* x x) -1) (+ y 1)) (- x 1))) (sqrt (* x y))) (*.f64 y (-.f64 (sqrt.f64 (/.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) y) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 (+.f64 y #s(literal 1 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 #s(approx (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) (/.f64 (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 y y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (+ (* (* (sqrt (+ y 1)) (+ x 1)) (/ (sqrt (+ y 1)) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x)))))))) (neg (/ (* y x) (+ (* (sqrt y) (sqrt x)) (sqrt (exp (+ (log (+ 1 y)) (log (+ 1 x))))))))) (+.f64 (/.f64 y (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (+.f64 #s(literal 1 binary64) y)) (sqrt.f64 (*.f64 x y)))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 y y #s(literal -1 binary64)))) (sqrt.f64 (-.f64 y #s(literal 1 binary64))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) (*.f64 y y)) y)) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (-.f64 x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 (+.f64 x #s(literal 1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (fma.f64 (sqrt.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) (pow.f64 (sqrt.f64 (-.f64 x #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (fma.f64 x x #s(literal -1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) (fma.f64 y x x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) y (*.f64 (neg.f64 (sqrt.f64 (/.f64 x y))) y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))) (sqrt.f64 (/.f64 x y))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 x (fma.f64 (/.f64 y x) (/.f64 (fma.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)))) x) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (+ (+ (* (sqrt (/ (+ 1 x) (pow y 7))) 1/16) (+ (* (sqrt (/ (+ 1 x) (pow y 5))) -1/8) (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2))) (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y)))) y) (/.f64 (fma.f64 y (fma.f64 y (fma.f64 y (-.f64 (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (*.f64 y (+.f64 #s(literal 1 binary64) x))))) (pow.f64 y #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (fma.f64 (pow.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 x x (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (*.f64 y x)))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 y #s(literal -1/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (-.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y) (/.f64 x y)) (pow.f64 (+.f64 (sqrt.f64 (/.f64 x y)) (sqrt.f64 (/.f64 (+.f64 x #s(literal 1 binary64)) y))) #s(literal -1 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))))) y)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (-.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)))) (sqrt.f64 (/.f64 y x))) x)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 x (-.f64 (+.f64 (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))))) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x))) (sqrt.f64 (/.f64 y x))))))
#s(approx (/ 1 (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y)))) (/.f64 (fma.f64 (/.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))) #s(literal 2 binary64))) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y))))) y))
(exp.f64 (*.f64 (log.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (/.f64 (-.f64 (sqrt.f64 (+.f64 x #s(literal 1 binary64))) (sqrt.f64 x)) (sqrt.f64 y))) y))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (fma.f64 (pow.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (pow.f64 (/.f64 y (+.f64 x #s(literal 1 binary64))) #s(literal -1/4 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 y #s(literal -3/2 binary64)) (sqrt.f64 (+.f64 x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (/.f64 x y))))) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (+.f64 y #s(literal 1 binary64))) (+.f64 x #s(literal 1 binary64))) (sqrt.f64 (+.f64 y #s(literal 1 binary64)))) (*.f64 y x)) (fma.f64 (sqrt.f64 x) (sqrt.f64 y) (sqrt.f64 (exp.f64 (+.f64 (log1p.f64 x) (log1p.f64 y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y))))) y)))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
Calls

4 calls:

11.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
10.0ms
y
10.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
10.0ms
x
Results
AccuracySegmentsBranch
85.4%1(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
85.4%1x
85.4%1y
85.4%1(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes10.0ms (0.2%)

Memory
8.6MiB live, 8.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
Calls

4 calls:

3.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
2.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
85.4%1x
85.4%1y
85.4%1(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
85.4%1(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes9.0ms (0.1%)

Memory
8.1MiB live, 8.1MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
Calls

4 calls:

2.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
2.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
2.0ms
y
2.0ms
x
Results
AccuracySegmentsBranch
85.3%1x
85.3%1y
85.3%1(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
85.3%1(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes12.0ms (0.2%)

Memory
-68.5MiB live, 16.9MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))))
Calls

4 calls:

6.0ms
y
2.0ms
x
2.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
2.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
Results
AccuracySegmentsBranch
83.7%2x
83.2%2y
82.4%2(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
82.5%2(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes8.0ms (0.1%)

Memory
7.4MiB live, 7.4MiB allocated
Counts
4 → 2
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
Outputs
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
Calls

4 calls:

2.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
2.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
2.0ms
x
2.0ms
y
Results
AccuracySegmentsBranch
50.4%1(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
50.4%1(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
50.4%1y
52.1%2x
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes7.0ms (0.1%)

Memory
7.0MiB live, 7.0MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) x))) (sqrt.f64 (*.f64 x y))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
Calls

4 calls:

2.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
2.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
8.8%1(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
8.8%1y
8.8%1(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
8.8%1x
Compiler

Compiled 30 to 25 computations (16.7% saved)

regimes5.0ms (0.1%)

Memory
6.2MiB live, 6.2MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
Calls

4 calls:

1.0ms
(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
1.0ms
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
1.0ms
x
1.0ms
y
Results
AccuracySegmentsBranch
5.9%1(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
5.9%1y
5.9%1(-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))
5.9%1x
Compiler

Compiled 30 to 25 computations (16.7% saved)

bsearch17.0ms (0.3%)

Memory
5.6MiB live, 5.6MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
31.94655851926695
1015.127760772565
Samples
8.0ms112×0valid
Compiler

Compiled 809 to 534 computations (34% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-sub: 1.0ms (18% of total)
ival-div: 1.0ms (18% of total)
ival-add: 1.0ms (18% of total)
ival-mult: 1.0ms (18% of total)
ival-sqrt: 1.0ms (18% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch3.0ms (0%)

Memory
1.1MiB live, 1.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
2.0ms
2952.4951063028457
3114.498799599626
Samples
1.0ms16×0valid
Compiler

Compiled 125 to 86 computations (31.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.0ms
ival-sub: 0.0ms (0% of total)
ival-div: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
ival-add: 0.0ms (0% of total)
ival-mult: 0.0ms (0% of total)
ival-sqrt: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
0.0ms
2952.4951063028457
3114.498799599626
Compiler

Compiled 98 to 71 computations (27.6% saved)

bsearch16.0ms (0.3%)

Memory
5.2MiB live, 5.2MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
14.0ms
0.000212821956983288
4.894328377554505
Samples
9.0ms128×0valid
Compiler

Compiled 330 to 256 computations (22.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 6.0ms
ival-mult: 2.0ms (31.9% of total)
ival-sqrt: 2.0ms (31.9% of total)
ival-sub: 1.0ms (16% of total)
ival-div: 1.0ms (16% of total)
ival-add: 1.0ms (16% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

bsearch15.0ms (0.2%)

Memory
4.8MiB live, 4.8MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
Steps
TimeLeftRight
13.0ms
0.000212821956983288
4.894328377554505
Samples
8.0ms112×0valid
Compiler

Compiled 562 to 408 computations (27.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 5.0ms
ival-div: 1.0ms (18.2% of total)
ival-add: 1.0ms (18.2% of total)
ival-mult: 1.0ms (18.2% of total)
ival-sqrt: 1.0ms (18.2% of total)
ival-sub: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

simplify86.0ms (1.4%)

Memory
11.3MiB live, 11.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0161631
1220631
2292631
3422631
4741631
51026631
61513631
73506631
85585631
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 x #s(literal 950 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))) x))) y))))
(if (<=.f64 x #s(literal 3100 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) x))) y))))
(if (<=.f64 x #s(literal 3100 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) x))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(if (<=.f64 x #s(literal 7932099951695107/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y)))))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
Outputs
(if (<=.f64 x #s(literal 950 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x)))) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 5 binary64)) y))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y))))))) x))) y))))
(if (<=.f64 x #s(literal 950 binary64)) (pow.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (*.f64 (sqrt.f64 y) (sqrt.f64 x))) #s(literal -1 binary64)) (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) (fma.f64 #s(literal -5/128 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) y) #s(literal -1 binary64))) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1 binary64))))))) x))) y)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 3100 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) y)))))) x))) y))))
(if (<=.f64 x #s(literal 3100 binary64)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))) #s(literal -1 binary64)) (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) #s(approx (- (sqrt (/ (+ 1 x) y)) (sqrt (/ x y))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) y)) (fma.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y)) (*.f64 #s(literal 1/16 binary64) (sqrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1 binary64)))))) x))) y)) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 3100 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) x))))
(if (<=.f64 x #s(literal 3100 binary64)) (pow.f64 (-.f64 (sqrt.f64 (/.f64 (*.f64 (fma.f64 x x #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (-.f64 x #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))) #s(literal -1 binary64)) (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) x)) (sqrt.f64 (/.f64 y x)))) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)))
(pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) (*.f64 (+.f64 (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 7 binary64)))) #s(literal 1/16 binary64) (fma.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 5 binary64)))) #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) (pow.f64 y #s(literal 3 binary64)))) #s(literal 1/2 binary64)))) (-.f64 (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)) (sqrt.f64 (/.f64 x y)))) y)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 (+.f64 (+.f64 x #s(literal 1 binary64)) y) (*.f64 y x))) (sqrt.f64 (*.f64 x y))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(pow.f64 (-.f64 (sqrt.f64 (+.f64 (fma.f64 y x x) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))))
(pow.f64 (-.f64 (sqrt.f64 (*.f64 (+.f64 x #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) (sqrt.f64 (*.f64 x y))) #s(literal -1 binary64))
(if (<=.f64 x #s(literal 7932099951695107/36893488147419103232 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y)))))
(if (<=.f64 x #s(literal 7932099951695107/36893488147419103232 binary64)) (pow.f64 (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))) #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (fma.f64 y x y))) (sqrt.f64 (*.f64 x y))) #s(literal -1 binary64)))
(if (<=.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y)))) (/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y)))))))
(if (<=.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 #s(approx (* (+ x 1) (+ y 1)) (+.f64 #s(literal 1 binary64) y))) (sqrt.f64 (*.f64 x y))) #s(literal -1 binary64)) (pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))))
(pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (+.f64 #s(literal 1 binary64) x) y))))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))))
(pow.f64 #s(approx (- (sqrt (* (+ x 1) (+ y 1))) (sqrt (* x y))) #s(approx (* (- (+ (* (sqrt (/ (+ 1 x) (pow y 3))) 1/2) (sqrt (/ (+ 1 x) y))) (sqrt (/ x y))) y) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 x y))))) #s(literal -1 binary64))

soundness791.0ms (13%)

Memory
-43.4MiB live, 29.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
01947
18547
262447
3736447
0835543
0263534184
1751732141
0873930612
04853756
115223306
258603236
084283086
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 846 to 298 computations (64.8% saved)

preprocess102.0ms (1.7%)

Memory
68.7MiB live, 68.7MiB allocated
Compiler

Compiled 2 930 to 1 372 computations (53.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...