log(x+sqrt(1+x*x))

Time bar (total: 5.7s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze3.0ms (0.1%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.4%49.6%0%0%0%0
0%0%50.4%49.6%0%0%0%1
50%25.2%25.2%49.6%0%0%0%2
75%37.8%12.6%49.6%0%0%0%3
87.5%44.1%6.3%49.6%0%0%0%4
93.8%47.3%3.2%49.6%0%0%0%5
96.9%48.9%1.6%49.6%0%0%0%6
98.4%49.6%0.8%49.6%0%0%0%7
99.2%50%0.4%49.6%0%0%0%8
99.2%50%0.4%49.6%0%0%0%9
99.4%50.1%0.3%49.6%0%0%0%10
99.5%50.2%0.2%49.6%0%0%0%11
99.5%50.2%0.2%49.6%0%0%0%12
Compiler

Compiled 17 to 11 computations (35.3% saved)

sample3.5s (60.7%)

Memory
57.5MiB live, 1 126.1MiB allocated
Samples
1.6s3 148×2valid
1.3s4 745×1valid
31.0ms363×0valid
Precisions
Click to see histograms. Total time spent on operations: 2.5s
ival-log: 1.4s (54% of total)
ival-hypot: 735.0ms (29.3% of total)
adjust: 219.0ms (8.7% of total)
ival-add: 112.0ms (4.5% of total)
ival-<=: 49.0ms (2% of total)
exact: 19.0ms (0.8% of total)
ival-and: 15.0ms (0.6% of total)
ival-assert: 4.0ms (0.2% of total)
Bogosity

explain462.0ms (8%)

Memory
48.0MiB live, 257.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2490-1(-0.011419689118835605)(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
30-0-(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
00-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
00-0-#s(literal 1 binary64)
00-0-(+.f64 #s(literal 1 binary64) (*.f64 x x))
00-0-(*.f64 x x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
log.f64(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))sensitivity2481
+.f64(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))cancellation30
Confusion
Predicted +Predicted -
+2511
-04
Precision
1.0
Recall
0.996031746031746
Confusion?
Predicted +Predicted MaybePredicted -
+25110
-004
Precision?
1.0
Recall?
1.0
Freqs
test
numberfreq
05
1251
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
167.0ms186×2valid
115.0ms294×1valid
3.0ms32×0valid
Compiler

Compiled 79 to 25 computations (68.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 259.0ms
adjust: 83.0ms (32.1% of total)
ival-log: 80.0ms (30.9% of total)
ival-mult: 54.0ms (20.9% of total)
ival-hypot: 32.0ms (12.4% of total)
ival-add: 9.0ms (3.5% of total)
ival-true: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess14.0ms (0.2%)

Memory
5.0MiB live, 5.0MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12319
24819
38819
413819
518519
622619
723019
079
0129
1169
0168
Stop Event
iter limit
saturated
iter limit
saturated
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
Compiler

Compiled 9 to 7 computations (22.2% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.2%
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify3.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
cost-diff0
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
cost-diff0
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
cost-diff1
(+.f64 #s(literal 1 binary64) (*.f64 x x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0733
01233
11633
01629
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
#s(literal 1 binary64)
(*.f64 x x)
Outputs
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x)
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x x)

localize88.0ms (1.5%)

Memory
14.6MiB live, 14.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(*.f64 x x)
accuracy0.01171875
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
accuracy0.158493352772019
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
accuracy57.35835175203392
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
Samples
47.0ms93×2valid
31.0ms147×1valid
1.0ms16×0valid
Compiler

Compiled 35 to 9 computations (74.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-log: 39.0ms (58.2% of total)
ival-hypot: 15.0ms (22.4% of total)
adjust: 6.0ms (8.9% of total)
ival-add: 4.0ms (6% of total)
ival-mult: 2.0ms (3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
1.9MiB live, 1.9MiB allocated
Counts
5 → 37
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x x)
Outputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@inf
((+ 1 (* x x)) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (* x x))
1.0ms
x
@0
((+ 1 (* x x)) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (* x x))
1.0ms
x
@-inf
((+ 1 (* x x)) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (* x x))

simplify156.0ms (2.7%)

Memory
-41.5MiB live, 32.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1353440
2938432
32928402
47103402
08159378
Stop Event
iter limit
node limit
Counts
37 → 36
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(pow x 2)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(/ -1/2 x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
1
#s(literal 1 binary64)
(+ 1 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (log.f64 x)))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 #s(literal 2 binary64) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(+.f64 (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x)
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 #s(literal 1/2 binary64))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))))
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (/.f64 #s(literal -1/16 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1/8 binary64) (*.f64 x x)))) x)
(* -1 x)
(neg.f64 x)
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x) x)
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x x)) (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))))

rewrite169.0ms (2.9%)

Memory
-28.2MiB live, 51.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0731
01231
14431
230131
3306031
0837527
Stop Event
iter limit
node limit
iter limit
Counts
5 → 342
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (*.f64 x x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 x x)
Outputs
(*.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (neg.f64 (log1p.f64 (*.f64 (neg.f64 x) x)))))
(*.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (neg.f64 (log1p.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 x (+.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (fma.f64 (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) (-.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))
(*.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal -1 binary64)))
(*.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (*.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 x x #s(literal 1 binary64))) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -2 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 1 binary64)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (/.f64 (fma.f64 x x #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 4 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 2 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (exp.f64 (log.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (exp.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (log.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (exp.f64 (+.f64 (log.f64 #s(literal -1 binary64)) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (exp.f64 (log1p.f64 (neg.f64 (pow.f64 x #s(literal 4 binary64))))) (exp.f64 (log1p.f64 (*.f64 (neg.f64 x) x))))
(/.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64)))) (exp.f64 (log1p.f64 (*.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64))) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3 binary64)) (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64))) (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 x x #s(literal -1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x x)))
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(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) #s(literal -1 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 4 binary64)) #s(literal 1/8 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64)) #s(literal 1/4 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/2 binary64))
(/.f64 (exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (exp.f64 (log.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))))
(/.f64 (exp.f64 (*.f64 #s(literal 1/2 binary64) (log1p.f64 (pow.f64 x #s(literal 6 binary64))))) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)))))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (sqrt.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fabs.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log1p.f64 (*.f64 x x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log1p.f64 (*.f64 x x))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval52.0ms (0.9%)

Memory
35.7MiB live, 35.7MiB allocated
Compiler

Compiled 8 789 to 1 599 computations (81.8% saved)

prune16.0ms (0.3%)

Memory
17.6MiB live, 17.6MiB allocated
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New36512377
Fresh000
Picked101
Done000
Total36612378
Accuracy
100.0%
Counts
378 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.1%
(log.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
10.2%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
10.2%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
1.8%
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
3.0%
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
1.7%
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))))
1.8%
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
7.1%
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
1.4%
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (*.f64 #s(literal 2 binary64) x)))
97.3%
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
97.6%
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
97.2%
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
Compiler

Compiled 374 to 264 computations (29.4% saved)

simplify110.0ms (1.9%)

Memory
8.7MiB live, 8.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
cost-diff0
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
cost-diff0
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
cost-diff0
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
cost-diff0
(/.f64 #s(literal -1/2 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
cost-diff0
(neg.f64 x)
cost-diff0
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))
cost-diff0
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))
cost-diff0
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))))
cost-diff0
(+.f64 #s(literal 1 binary64) x)
cost-diff0
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))
cost-diff0
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
cost-diff0
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
cost-diff0
(pow.f64 x #s(literal 3 binary64))
cost-diff0
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
cost-diff0
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030194
046194
171194
2126194
3202194
4228194
5266194
6412194
7783194
81366194
91881194
102065194
112111194
122124194
132131194
142131194
152131194
162131194
172134194
02134183
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))
x
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
x
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
Outputs
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))
#s(literal 3/40 binary64)
(*.f64 x x)
#s(literal -1/6 binary64)
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (-.f64 x #s(literal -1 binary64))))
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))
#s(approx (+ x (sqrt (+ 1 (* x x)))) (-.f64 x #s(literal -1 binary64)))
(+.f64 #s(literal 1 binary64) x)
(-.f64 x #s(literal -1 binary64))
#s(literal 1 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))))
(log.f64 (+.f64 #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) x))
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))
(+.f64 #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)) x)
x
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
x
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(log.f64 (+.f64 #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x))
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(+.f64 #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)) x)
x
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(/.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)

localize297.0ms (5.2%)

Memory
-274.0MiB live, 35.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0078125
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
accuracy0.158493352772019
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
accuracy57.35835175203392
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
accuracy61.2647734969066
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
accuracy0.0
(/.f64 #s(literal -1/2 binary64) x)
accuracy57.35835175203392
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
accuracy61.45613097485354
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))
accuracy0.0
(neg.f64 x)
accuracy0.158493352772019
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))
accuracy57.35835175203392
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))))
accuracy61.116480486419256
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))
accuracy0.0
(+.f64 #s(literal 1 binary64) x)
accuracy2.0083353800444472
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))
accuracy57.35835175203392
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
accuracy0.0
(*.f64 x x)
accuracy0.00390625
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
accuracy0.029628759768442016
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
accuracy1.5556572637056107
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Samples
189.0ms93×2valid
86.0ms147×1valid
3.0ms16×0valid
Compiler

Compiled 144 to 21 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-log: 40.0ms (35.5% of total)
ival-hypot: 17.0ms (15.1% of total)
adjust: 15.0ms (13.3% of total)
const: 12.0ms (10.7% of total)
ival-add: 9.0ms (8% of total)
ival-mult: 7.0ms (6.2% of total)
ival-pow: 5.0ms (4.4% of total)
ival-div: 4.0ms (3.6% of total)
ival-sub: 2.0ms (1.8% of total)
exact: 1.0ms (0.9% of total)
ival-neg: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0.1%)

Memory
4.0MiB live, 4.0MiB allocated
Counts
19 → 47
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(*.f64 x x)
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(pow x 2)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Calls

3 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
((log (+ x (sqrt (+ 1 (* x x))))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (+ 1 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (neg x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (/ -1/2 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (- (/ -1/2 x) x) (* x x))
2.0ms
x
@inf
((log (+ x (sqrt (+ 1 (* x x))))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (+ 1 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (neg x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (/ -1/2 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (- (/ -1/2 x) x) (* x x))
2.0ms
x
@0
((log (+ x (sqrt (+ 1 (* x x))))) (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (pow x 3) (+ (* 3/40 (* x x)) -1/6) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (+ 1 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (neg x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (/ -1/2 x) (log (+ x (sqrt (+ 1 (* x x))))) (+ x (sqrt (+ 1 (* x x)))) (sqrt (+ 1 (* x x))) (- (/ -1/2 x) x) (* x x))

simplify135.0ms (2.3%)

Memory
37.8MiB live, 37.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146531
1410517
21101509
33348484
08258460
Stop Event
iter limit
node limit
Counts
47 → 46
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(pow x 3)
-1/6
(- (* 3/40 (pow x 2)) 1/6)
1
(+ 1 x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(+ 1 (* 1/2 (pow x 2)))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(* -1 x)
(/ -1/2 x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(pow x 2)
(+ (log 2) (* -1 (log (/ 1 x))))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(* 3/40 (pow x 5))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(* 3/40 (pow x 2))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(* 2 x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* x (+ 1 (/ 1 x)))
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(+ (log 1/2) (log (/ -1 x)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
Outputs
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/40 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/40 (* -5/112 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow x 3)
(pow.f64 x #s(literal 3 binary64))
-1/6
#s(literal -1/6 binary64)
(- (* 3/40 (pow x 2)) 1/6)
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
1
#s(literal 1 binary64)
(+ 1 x)
(+.f64 #s(literal 1 binary64) x)
(+ 1 (* x (+ 1 (* 1/2 x))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* x (+ 1 (* x (+ 1/2 (* -1/8 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x #s(literal 1 binary64)) x #s(literal 1 binary64))
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64)))
(+ 1 (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/16 (pow x 2)) 1/8)))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* -1 x)
(neg.f64 x)
(/ -1/2 x)
(/.f64 #s(literal -1/2 binary64) x)
(/ (- (* -1 (pow x 2)) 1/2) x)
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(pow x 2)
(*.f64 x x)
(+ (log 2) (* -1 (log (/ 1 x))))
(+.f64 (log.f64 x) (log.f64 #s(literal 2 binary64)))
(+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2)))))
(+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64)))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (* 1/4 (/ 1 (pow x 2))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (log 2) (+ (* -1 (log (/ 1 x))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))) (/ 3/32 (pow x 4)))
(-.f64 (+.f64 (+.f64 (-.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64)))) (log.f64 x)) (log.f64 #s(literal 2 binary64))) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64))))
(* 3/40 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))
(* (pow x 5) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (+ 3/40 (/ 1 (pow x 4))) (* 1/6 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* 3/40 (pow x 2))
(*.f64 #s(literal 3/40 binary64) (*.f64 x x))
(* (pow x 2) (- 3/40 (* 1/6 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(* 2 x)
(*.f64 #s(literal 2 binary64) x)
(* x (+ 2 (* 1/2 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 2 binary64) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(fma.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))
(* x (- (+ 2 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 2 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* x (+ 1 (/ 1 x)))
(+.f64 #s(literal 1 binary64) x)
(* x (+ 1 (* 1/2 (/ 1 (pow x 2)))))
(-.f64 x (/.f64 #s(literal -1/2 binary64) x))
(* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4))))
(-.f64 (-.f64 x (/.f64 #s(literal -1/2 binary64) x)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x))
(* -1 (* x (+ 1 (* 1/2 (/ 1 (pow x 2))))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(+ (log 1/2) (log (/ -1 x)))
(+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64)))
(- (+ (log 1/2) (log (/ -1 x))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (* 1/4 (/ 1 (pow x 2))))
(-.f64 (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(- (+ (log 1/2) (+ (log (/ -1 x)) (/ 3/32 (pow x 4)))) (+ (* 1/4 (/ 1 (pow x 2))) (* 5/96 (/ 1 (pow x 6)))))
(-.f64 (+.f64 (/.f64 #s(literal -5/96 binary64) (pow.f64 x #s(literal 6 binary64))) (+.f64 (+.f64 (log.f64 (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal 3/32 binary64) (pow.f64 x #s(literal 4 binary64)))) (log.f64 #s(literal 1/2 binary64)))) (/.f64 #s(literal 1/4 binary64) (*.f64 x x)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) 3/40)))
(*.f64 (-.f64 #s(literal 3/40 binary64) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (* 1/6 (/ 1 (pow x 2))) (+ 3/40 (/ 1 (pow x 4))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal -3/40 binary64)) (/.f64 #s(literal 1/6 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (/ (- 1/2 (* 1/8 (/ 1 (pow x 2)))) x))
(/.f64 (-.f64 (/.f64 #s(literal 1/8 binary64) (*.f64 x x)) #s(literal 1/2 binary64)) x)
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (* 1/8 (/ 1 (pow x 2)))) x))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64)) x))
(* -1 (/ (- (+ 1/2 (/ 1/16 (pow x 4))) (+ (* 1/8 (/ 1 (pow x 2))) (* 5/128 (/ 1 (pow x 6))))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 5/128 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 #s(literal -1/8 binary64) (*.f64 x x))) (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/2 binary64))) x)
(* -1 (* x (- (+ 1 (* 1/2 (/ 1 (pow x 2)))) (/ 1/8 (pow x 4)))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* -1 (* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4)))))
(-.f64 (-.f64 (/.f64 #s(literal -1/2 binary64) x) x) (fma.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) x (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64)))))

rewrite194.0ms (3.4%)

Memory
-30.4MiB live, 55.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
030180
046180
1171180
21240180
08299169
Stop Event
iter limit
node limit
iter limit
Counts
19 → 401
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64))
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
#s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x))
(+.f64 #s(literal 1 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))))
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x)))
#s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))
(neg.f64 x)
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
#s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 #s(literal -1/2 binary64) x)
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
#s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(*.f64 x x)
Outputs
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64)) x))
(*.f64 (-.f64 (*.f64 x x) (*.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 x (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))))))
(*.f64 (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 x) x)) (pow.f64 (fma.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64) (fma.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 3 binary64)) (neg.f64 x))) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (*.f64 (neg.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64))) (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 6 binary64)) (-.f64 (*.f64 x x) (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 4 binary64))))) #s(literal -1 binary64)))
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(fma.f64 #s(literal -1 binary64) x (/.f64 #s(literal -1/2 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1/2 binary64) (neg.f64 x))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (pow.f64 (+.f64 (/.f64 #s(literal -1/2 binary64) x) x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(fma.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (pow.f64 (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) x) (neg.f64 x))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64) (neg.f64 x))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal -1 binary64)) (neg.f64 x))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(fma.f64 x #s(literal -1 binary64) (/.f64 #s(literal -1/2 binary64) x))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)))
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))))
(-.f64 (/.f64 #s(literal -1/2 binary64) x) x)
(-.f64 (neg.f64 x) (/.f64 #s(literal 1/2 binary64) x))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x)) (neg.f64 (/.f64 (*.f64 x x) (+.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal -1/2 binary64) x) #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64)))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/4 binary64) (fma.f64 x x #s(literal -1/2 binary64))))))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (/.f64 #s(literal -1/2 binary64) x) (neg.f64 x))
(+.f64 (neg.f64 x) (/.f64 #s(literal -1/2 binary64) x))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(*.f64 x x)
(pow.f64 (neg.f64 x) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(fma.f64 (neg.f64 x) #s(literal 0 binary64) (*.f64 x x))
(+.f64 (*.f64 (neg.f64 x) #s(literal 0 binary64)) (*.f64 x x))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))

eval56.0ms (1%)

Memory
42.3MiB live, 42.3MiB allocated
Compiler

Compiled 15 082 to 1 942 computations (87.1% saved)

prune22.0ms (0.4%)

Memory
-54.9MiB live, 21.2MiB allocated
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New4683471
Fresh167
Picked235
Done000
Total47112483
Accuracy
100.0%
Counts
483 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
10.1%
(log.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
10.2%
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
10.2%
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
1.8%
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
3.0%
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
1.8%
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
7.1%
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
1.4%
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (*.f64 #s(literal 2 binary64) x)))
97.3%
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
97.6%
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
97.6%
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
6.0%
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
Compiler

Compiled 484 to 229 computations (52.7% saved)

regimes11.0ms (0.2%)

Memory
8.3MiB live, 8.3MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(log.f64 (/.f64 (fma.f64 (neg.f64 x) x (fma.f64 x x #s(literal 1 binary64))) (neg.f64 (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
Outputs
(log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Calls

3 calls:

4.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
3.0ms
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
99.3%2x
99.3%2(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
99.3%2(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

regimes10.0ms (0.2%)

Memory
7.5MiB live, 7.5MiB allocated
Accuracy

Total -62.4b remaining (-4014%)

Threshold costs -62.4b (-4014%)

Counts
14 → 1
Calls
Call 1
Inputs
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 3/40 binary64) #s(literal -1/6 binary64)) x) (*.f64 x x) x))
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (+.f64 #s(literal 1 binary64) x)))
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (*.f64 #s(literal 2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (neg.f64 x))))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) #s(approx (+ (* (pow x 3) (+ (* 3/40 (* x x)) -1/6)) x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/40 binary64))))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x))
(log.f64 #s(approx (+ x (sqrt (+ 1 (* x x)))) (/.f64 #s(literal -1/2 binary64) x)))
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))))
(log.f64 (+.f64 x #s(approx (sqrt (+ 1 (* x x))) (-.f64 (/.f64 #s(literal -1/2 binary64) x) x))))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
(log.f64 (+.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/112 binary64) (*.f64 x x) #s(literal 3/40 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x))
Outputs
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Calls

3 calls:

3.0ms
x
3.0ms
(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
3.0ms
(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
Results
AccuracySegmentsBranch
97.6%1x
97.6%1(log.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))))
97.6%1(+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x))))
Compiler

Compiled 18 to 14 computations (22.2% saved)

bsearch1.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9886455134052652
0.9999698016411299
Compiler

Compiled 12 to 11 computations (8.3% saved)

simplify62.0ms (1.1%)

Memory
9.8MiB live, 9.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02874
13974
24974
35874
46474
57474
68274
710574
823174
9375774
Stop Event
node limit
Calls
Call 1
Inputs
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 4458563631096791/4503599627370496 binary64)) (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))
Outputs
(if (<=.f64 (+.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (*.f64 x x)))) #s(literal 4458563631096791/4503599627370496 binary64)) (log.f64 (/.f64 (-.f64 (fma.f64 x x #s(literal -1 binary64)) (*.f64 x x)) (-.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) #s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)))
#s(approx (log (+ x (sqrt (+ 1 (* x x))))) (fma.f64 (*.f64 (*.f64 x x) x) (fma.f64 #s(literal 3/40 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x))

soundness361.0ms (6.3%)

Memory
5.3MiB live, 5.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0125448
1353440
2938432
32928402
47103402
08159378
0731
01231
14431
230131
3306031
0837527
030180
046180
1171180
21240180
08299169
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
Compiler

Compiled 182 to 93 computations (48.9% saved)

preprocess21.0ms (0.4%)

Memory
12.7MiB live, 12.7MiB allocated
Compiler

Compiled 166 to 72 computations (56.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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