x / sqrt(1 + pow(x, 2))

Time bar (total: 2.9s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0.2%99.8%0%0%0%0
100%0.2%0%99.8%0%0%0%1
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample835.0ms (28.3%)

Memory
6.8MiB live, 379.9MiB allocated
Samples
559.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 386.0ms
ival-pow2: 97.0ms (25.1% of total)
ival-div: 79.0ms (20.5% of total)
ival-add: 76.0ms (19.7% of total)
ival-sqrt: 58.0ms (15% of total)
ival-<=: 50.0ms (13% of total)
ival-and: 12.0ms (3.1% of total)
exact: 12.0ms (3.1% of total)
ival-assert: 3.0ms (0.8% of total)
Bogosity

explain78.0ms (2.7%)

Memory
39.6MiB live, 39.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
00-0-(pow.f64 x #s(literal 2 binary64))
00-0-#s(literal 2 binary64)
00-0-#s(literal 1 binary64)
00-0-(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
00-0-(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
31.0ms512×0valid
Compiler

Compiled 62 to 25 computations (59.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-pow2: 6.0ms (34.7% of total)
ival-div: 4.0ms (23.1% of total)
ival-sqrt: 4.0ms (23.1% of total)
ival-add: 3.0ms (17.3% of total)
exact: 1.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess18.0ms (0.6%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
12417
25417
312017
422317
532917
636417
737517
837917
078
0118
1158
0157
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Outputs
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Compiler

Compiled 8 to 7 computations (12.5% 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
▶99.5%
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Compiler

Compiled 8 to 7 computations (12.5% saved)

simplify3.0ms (0.1%)

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

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 x #s(literal 2 binary64))
cost-diff0
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
cost-diff0
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
cost-diff1
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0725
01125
11525
01522
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
Outputs
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
(pow.f64 x #s(literal 2 binary64))
(*.f64 x x)
#s(literal 2 binary64)

localize23.0ms (0.8%)

Memory
10.8MiB live, 10.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(pow.f64 x #s(literal 2 binary64))
accuracy0.015625
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
accuracy0.13671875
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
accuracy0.328125
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Samples
16.0ms256×0valid
Compiler

Compiled 27 to 9 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-pow2: 4.0ms (43.1% of total)
ival-div: 2.0ms (21.6% of total)
ival-sqrt: 2.0ms (21.6% of total)
ival-add: 1.0ms (10.8% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory
1.4MiB live, 1.4MiB allocated
Counts
4 → 25
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
Outputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))))
(+ 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))))
(- 1 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))))
(* 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
(- (* 1/2 (/ 1 (pow x 2))) 1)
(- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4))))
(- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4))))
(* -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
1.0ms
x
@inf
((+ 1 (pow x 2)) (/ x (sqrt (+ 1 (pow x 2)))) (sqrt (+ 1 (pow x 2))) (pow x 2))
1.0ms
x
@0
((+ 1 (pow x 2)) (/ x (sqrt (+ 1 (pow x 2)))) (sqrt (+ 1 (pow x 2))) (pow x 2))
1.0ms
x
@-inf
((+ 1 (pow x 2)) (/ x (sqrt (+ 1 (pow x 2)))) (sqrt (+ 1 (pow x 2))) (pow x 2))

simplify141.0ms (4.8%)

Memory
-52.9MiB live, 27.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
074273
1207273
2555266
31758248
44216244
56750244
08095228
Stop Event
1×iter limit
1×node limit
Counts
25 → 24
Calls
Call 1
Inputs
1
(+ 1 (pow x 2))
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))))
(+ 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))))
(- 1 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))))
(* 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
(- (* 1/2 (/ 1 (pow x 2))) 1)
(- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4))))
(- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4))))
(* -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 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 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))
(- 1 (* 1/2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))))
(-.f64 (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))) (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64))))
(* 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 #s(literal -1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 (/.f64 #s(literal -1/2 binary64) 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 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64)))) x (/.f64 #s(literal 1/2 binary64) x))
-1
#s(literal -1 binary64)
(- (* 1/2 (/ 1 (pow x 2))) 1)
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4))))
(-.f64 (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 6 binary64))))
(* -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 #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)))))
(fma.f64 #s(literal -1/16 binary64) (/.f64 x (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 3 binary64))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))

rewrite145.0ms (4.9%)

Memory
50.7MiB live, 50.7MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0722
01122
14322
222822
3164022
0854119
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
4 → 352
Calls
Call 1
Inputs
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 x #s(literal 2 binary64))
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 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))))
(*.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (-.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 (/.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 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))
(*.f64 (/.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (-.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 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 4 binary64)))) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64))) (pow.f64 (+.f64 (pow.f64 x #s(literal 4 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 (fma.f64 (neg.f64 x) x #s(literal 1 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 (*.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))) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal -1 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))) (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 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 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 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(*.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))))
(*.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
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(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(*.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (fma.f64 (neg.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))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (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 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 #s(literal -1 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(pow.f64 (exp.f64 #s(literal 1/2 binary64)) (log1p.f64 (*.f64 x x)))
(pow.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 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 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 -1/2 binary64)) #s(literal -1 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 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))))) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64)))))
(/.f64 (sqrt.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)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (sqrt.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)))) (sqrt.f64 (-.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 x #s(literal 6 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -3 binary64)) (*.f64 (pow.f64 x #s(literal 12 binary64)) (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -3 binary64))))) (sqrt.f64 (+.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (sqrt.f64 (neg.f64 (fma.f64 x x #s(literal -1 binary64)))))
(/.f64 (sqrt.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (neg.f64 (neg.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.f64 (+.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (pow.f64 x #s(literal 4 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) #s(literal 1 binary64))) (sqrt.f64 (*.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 (sqrt.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 18 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.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 (sqrt.f64 (-.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (pow.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) #s(literal 2 binary64))))
(/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) 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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 x (-.f64 (pow.f64 x #s(literal 3 binary64)) x) #s(literal 1 binary64))))))
(/.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 18 binary64)) #s(literal 1 binary64))) (sqrt.f64 (*.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 (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 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (fma.f64 #s(literal -1 binary64) (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 8 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (+.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (sqrt.f64 (*.f64 (fma.f64 (neg.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 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64)))) (sqrt.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 6 binary64))))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (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 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 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal -1 binary64))) (sqrt.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)))) (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (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) (/.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(neg.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(exp.f64 (neg.f64 (neg.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))))
(exp.f64 (neg.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal -1/2 binary64))))
(exp.f64 (fma.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64) (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64))))
(exp.f64 (*.f64 (*.f64 (log1p.f64 (*.f64 x x)) #s(literal 1/4 binary64)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 2 binary64))) #s(literal 1/4 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 x #s(literal 1/4 binary64)) #s(literal 4 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 x))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (neg.f64 x) (neg.f64 x))
(*.f64 (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 x x))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 (log.f64 x) #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 x))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 x))
(pow.f64 (sqrt.f64 x) #s(literal 4 binary64))
(pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 x)) #s(literal 4 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))

eval63.0ms (2.1%)

Memory
-43.3MiB live, 35.1MiB allocated
Compiler

Compiled 7 680 to 1 435 computations (81.3% saved)

prune11.0ms (0.4%)

Memory
17.4MiB live, 17.4MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New36411375
Fresh000
Picked101
Done000
Total36511376
Accuracy
100.0%
Counts
376 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.2%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (fma.f64 x x #s(literal 1 binary64)))
▶99.5%
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
98.8%
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
▶16.4%
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
53.3%
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
99.5%
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)
▶99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
▶99.2%
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
50.7%
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
▶1.6%
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
Compiler

Compiled 260 to 190 computations (26.9% saved)

simplify29.0ms (1%)

Memory
2.4MiB live, 2.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
cost-diff0
(sqrt.f64 x)
cost-diff0
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
cost-diff3
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
cost-diff0
#s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
cost-diff0
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
cost-diff0
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
cost-diff0
(fma.f64 x x #s(literal 1 binary64))
cost-diff0
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
cost-diff0
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024131
038125
154125
274125
3103125
4237125
5515125
6807125
7937125
8988125
91011125
101021125
01021125
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
x
#s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal -1 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 x)
x
(sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
Outputs
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
x
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
#s(literal -1 binary64)
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
x
#s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
#s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(fma.f64 (*.f64 x x) #s(literal 1/2 binary64) #s(literal 1 binary64))
#s(literal 1/2 binary64)
(*.f64 x x)
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
#s(literal -1 binary64)
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
x
#s(literal 1 binary64)
(neg.f64 x)
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 x))
(sqrt.f64 x)
x
(sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(literal 1 binary64)

localize59.0ms (2%)

Memory
29.5MiB live, 29.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sqrt.f64 x)
accuracy0.11328125
(sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
accuracy0.2890625
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
accuracy0.4941788086106521
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
accuracy0.0
(neg.f64 x)
accuracy0.13671875
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy0.26953125
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
accuracy0.33984375
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
accuracy0.0
(*.f64 x x)
accuracy0.03125
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
accuracy0.328125
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
accuracy53.50305221719867
#s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
accuracy62.9985591659906
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
accuracy0.0
(fma.f64 x x #s(literal 1 binary64))
accuracy0.13671875
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
accuracy0.328125
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Samples
45.0ms256×0valid
Compiler

Compiled 129 to 23 computations (82.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-div: 7.0ms (22.3% of total)
ival-mult: 6.0ms (19.1% of total)
ival-sqrt: 6.0ms (19.1% of total)
ival-hypot: 5.0ms (15.9% of total)
ival-add: 4.0ms (12.7% of total)
ival-pow2: 2.0ms (6.4% of total)
ival-neg: 1.0ms (3.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series7.0ms (0.2%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
15 → 64
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 x)
(sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 x)
Outputs
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))))
1
(+ 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 (pow x 2))
(pow x 2)
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -3/8 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 5/16 (pow x 2)) 3/8)))) 1)
(sqrt x)
(+ (sqrt x) (* -1/2 (sqrt (pow x 5))))
(+ (sqrt x) (* (pow x 3) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (pow x 3))))))
(+ (sqrt x) (* (pow x 3) (+ (* -1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(* -1 x)
(- 1 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))))
(* 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))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(/ -1 x)
(/ (- (* 1/2 (/ 1 (pow x 2))) 1) x)
(/ (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4)))) x)
(/ (- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4)))) x)
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 9))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 9)))) (* 1/2 (sqrt (/ 1 (pow x 9)))))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(- (* 1/2 (/ 1 (pow x 2))) 1)
(- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4))))
(- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4))))
(* -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)))))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4)))) x))
(pow (sqrt -1) 2)
(+ (* -1/2 (/ (pow (sqrt -1) 2) (pow x 2))) (pow (sqrt -1) 2))
(+ (* -1/2 (/ (pow (sqrt -1) 2) (pow x 2))) (+ (* 3/8 (/ (pow (sqrt -1) 2) (pow x 4))) (pow (sqrt -1) 2)))
(+ (* -1/2 (/ (pow (sqrt -1) 2) (pow x 2))) (+ (* -5/16 (/ (pow (sqrt -1) 2) (pow x 6))) (+ (* 3/8 (/ (pow (sqrt -1) 2) (pow x 4))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Calls

3 calls:

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

simplify156.0ms (5.3%)

Memory
-38.6MiB live, 40.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197820
1554766
21615750
34870724
08538691
Stop Event
1×iter limit
1×node limit
Counts
64 → 63
Calls
Call 1
Inputs
x
(* x (+ 1 (* -1/2 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))))
1
(+ 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 (pow x 2))
(pow x 2)
-1
(- (* 1/2 (pow x 2)) 1)
(- (* (pow x 2) (+ 1/2 (* -3/8 (pow x 2)))) 1)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 5/16 (pow x 2)) 3/8)))) 1)
(sqrt x)
(+ (sqrt x) (* -1/2 (sqrt (pow x 5))))
(+ (sqrt x) (* (pow x 3) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (pow x 3))))))
(+ (sqrt x) (* (pow x 3) (+ (* -1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))))
(* x (+ 1 (* -1 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(* -1 x)
(- 1 (* 1/2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))))
(* 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))))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(/ -1 x)
(/ (- (* 1/2 (/ 1 (pow x 2))) 1) x)
(/ (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4)))) x)
(/ (- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4)))) x)
(sqrt (/ 1 x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5)))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 9))))))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 9)))) (* 1/2 (sqrt (/ 1 (pow x 9)))))))
(/ 1 x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(- (* 1/2 (/ 1 (pow x 2))) 1)
(- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4))))
(- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4))))
(* -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)))))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4)))) x))
(* -1 (/ (- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4)))) x))
(pow (sqrt -1) 2)
(+ (* -1/2 (/ (pow (sqrt -1) 2) (pow x 2))) (pow (sqrt -1) 2))
(+ (* -1/2 (/ (pow (sqrt -1) 2) (pow x 2))) (+ (* 3/8 (/ (pow (sqrt -1) 2) (pow x 4))) (pow (sqrt -1) 2)))
(+ (* -1/2 (/ (pow (sqrt -1) 2) (pow x 2))) (+ (* -5/16 (/ (pow (sqrt -1) 2) (pow x 6))) (+ (* 3/8 (/ (pow (sqrt -1) 2) (pow x 4))) (pow (sqrt -1) 2))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
Outputs
x
(* x (+ 1 (* -1/2 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/2 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 3/8 (pow x 2)) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal -1/2 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 3/8 (* -5/16 (pow x 2)))) 1/2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -5/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) x)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (pow x 2)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (+ 1/2 (* -1/8 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 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 (pow x 2))
(fma.f64 x x #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
-1
#s(literal -1 binary64)
(- (* 1/2 (pow x 2)) 1)
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* -3/8 (pow x 2)))) 1)
(fma.f64 (fma.f64 #s(literal -3/8 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 5/16 (pow x 2)) 3/8)))) 1)
(fma.f64 (fma.f64 (fma.f64 #s(literal 5/16 binary64) (*.f64 x x) #s(literal -3/8 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -1 binary64))
(sqrt x)
(sqrt.f64 x)
(+ (sqrt x) (* -1/2 (sqrt (pow x 5))))
(fma.f64 (sqrt.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -1/2 binary64) (sqrt.f64 x))
(+ (sqrt x) (* (pow x 3) (+ (* -1/2 (sqrt (/ 1 x))) (* 1/2 (sqrt (pow x 3))))))
(fma.f64 (fma.f64 (sqrt.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x))
(+ (sqrt x) (* (pow x 3) (+ (* -1/2 (sqrt (/ 1 x))) (* (pow x 2) (+ (* -1/8 (sqrt (/ 1 x))) (* 1/2 (sqrt (/ 1 x))))))))
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)) (fma.f64 #s(literal 3/8 binary64) (*.f64 x x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 x))
(* x (+ 1 (* -1 (pow x 2))))
(-.f64 x (pow.f64 x #s(literal 3 binary64)))
(* x (+ 1 (* (pow x 2) (- (pow x 2) 1))))
(fma.f64 (fma.f64 x x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1 (* -1 (pow x 2)))) 1))))
(fma.f64 (fma.f64 (-.f64 x (pow.f64 x #s(literal 3 binary64))) x #s(literal -1 binary64)) (pow.f64 x #s(literal 3 binary64)) x)
(* -1 x)
(neg.f64 x)
(- 1 (* 1/2 (/ 1 (pow x 2))))
(-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(- (+ 1 (/ 3/8 (pow x 4))) (* 1/2 (/ 1 (pow x 2))))
(-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))
(- (+ 1 (/ 3/8 (pow x 4))) (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))))
(-.f64 (/.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64)))))
(* 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))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (-.f64 x (/.f64 #s(literal -1/2 binary64) x)))
(* x (- (+ 1 (+ (* 1/2 (/ 1 (pow x 2))) (* 1/16 (/ 1 (pow x 6))))) (/ 1/8 (pow x 4))))
(fma.f64 (/.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x)))
(* (pow x 2) (+ 1 (/ 1 (pow x 2))))
(fma.f64 x x #s(literal 1 binary64))
(* 1/2 (pow x 2))
(*.f64 #s(literal 1/2 binary64) (*.f64 x x))
(* (pow x 2) (+ 1/2 (/ 1 (pow x 2))))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* 1/2 (/ 1 (pow x 2))) 1) x)
(/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x)
(/ (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4)))) x)
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) x) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4)))) x)
(/.f64 (-.f64 (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)))) x)
(sqrt (/ 1 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) x))
(+ (sqrt (/ 1 x)) (* -1/2 (sqrt (/ 1 (pow x 5)))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (* 1/2 (sqrt (/ 1 (pow x 9))))))
(fma.f64 #s(literal 1/2 binary64) (-.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (sqrt (/ 1 x)) (+ (* -1/2 (sqrt (/ 1 (pow x 5)))) (+ (* -1/8 (sqrt (/ 1 (pow x 9)))) (* 1/2 (sqrt (/ 1 (pow x 9)))))))
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 9 binary64)))) #s(literal 3/8 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(/ 1 x)
(/.f64 #s(literal 1 binary64) x)
(/ (- 1 (/ 1 (pow x 2))) x)
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)
(/ (- (+ 1 (/ 1 (pow x 4))) (/ 1 (pow x 2))) x)
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
(/ (- (+ 1 (/ 1 (pow x 4))) (+ (/ 1 (pow x 2)) (/ 1 (pow x 6)))) x)
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x)
(- (* 1/2 (/ 1 (pow x 2))) 1)
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4))))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))))
(- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4))))
(-.f64 (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(* -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)))))
(fma.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) x (-.f64 (/.f64 #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)))))
(neg.f64 (fma.f64 (/.f64 x (pow.f64 x #s(literal 4 binary64))) #s(literal -1/8 binary64) (fma.f64 (+.f64 (/.f64 #s(literal 1/16 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) x (/.f64 #s(literal 1/2 binary64) x))))
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x)
(* -1 (/ (- (* 1/2 (/ 1 (pow x 2))) (+ 1 (/ 3/8 (pow x 4)))) x))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) x) (/.f64 #s(literal -3/8 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (- (+ (* 1/2 (/ 1 (pow x 2))) (* 5/16 (/ 1 (pow x 6)))) (+ 1 (/ 3/8 (pow x 4)))) x))
(/.f64 (-.f64 (/.f64 #s(literal -5/16 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))))) x)
(pow (sqrt -1) 2)
#s(literal -1 binary64)
(+ (* -1/2 (/ (pow (sqrt -1) 2) (pow x 2))) (pow (sqrt -1) 2))
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))
(+ (* -1/2 (/ (pow (sqrt -1) 2) (pow x 2))) (+ (* 3/8 (/ (pow (sqrt -1) 2) (pow x 4))) (pow (sqrt -1) 2)))
(-.f64 (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64)) (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))))
(+ (* -1/2 (/ (pow (sqrt -1) 2) (pow x 2))) (+ (* -5/16 (/ (pow (sqrt -1) 2) (pow x 6))) (+ (* 3/8 (/ (pow (sqrt -1) 2) (pow x 4))) (pow (sqrt -1) 2))))
(-.f64 (/.f64 #s(literal 5/16 binary64) (pow.f64 x #s(literal 6 binary64))) (-.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 x x)) #s(literal 1 binary64))))
(* -1 (* (sqrt x) (pow (sqrt -1) 2)))
(sqrt.f64 x)
(* (sqrt (/ 1 x)) (pow (sqrt -1) 2))
(neg.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(+ (* 1/2 (* (sqrt (/ 1 (pow x 5))) (pow (sqrt -1) 2))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 5 binary64)))) #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2)))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(neg.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x))))
(+ (* -1 (/ (+ (* -1/2 (* (sqrt x) (pow (sqrt -1) 2))) (+ (* 1/8 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (pow x 3))) (pow (sqrt -1) 2))))) (pow x 3))) (* (sqrt (/ 1 x)) (pow (sqrt -1) 2)))
(-.f64 (/.f64 (fma.f64 #s(literal 5/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 x) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) x)))
(* -1 (/ (- (/ 1 (pow x 2)) 1) x))
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x)
(* -1 (/ (- (/ 1 (pow x 2)) (+ 1 (/ 1 (pow x 4)))) x))
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) x) (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 5 binary64))))
(* -1 (/ (- (+ (/ 1 (pow x 2)) (/ 1 (pow x 6))) (+ 1 (/ 1 (pow x 4)))) x))
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64)))) x)

rewrite206.0ms (7%)

Memory
-103.4MiB live, 48.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
024107
03898
112798
269998
3609698
0826898
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
15 → 751
Calls
Call 1
Inputs
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))
(fma.f64 x x #s(literal 1 binary64))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
#s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64)))
(fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(sqrt.f64 x)
(sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x (fma.f64 x x #s(literal 1 binary64)))
(neg.f64 x)
Outputs
(*.f64 (/.f64 x (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 (/.f64 x (sqrt.f64 (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(*.f64 (/.f64 x (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 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (pow.f64 x #s(literal 1/4 binary64))) (pow.f64 x #s(literal 1/4 binary64)))
(*.f64 (*.f64 (sqrt.f64 x) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/4 binary64))) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/4 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))) (*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 1/4 binary64))))
(*.f64 (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/4 binary64))) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/4 binary64))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/4 binary64)) (pow.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/4 binary64)))
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 (neg.f64 x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))) (/.f64 (sqrt.f64 x) (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal 1/4 binary64))))
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/4 binary64)) (*.f64 (pow.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x) #s(literal -1/4 binary64)) (sqrt.f64 x)))
(*.f64 (pow.f64 x #s(literal 1/4 binary64)) (*.f64 (pow.f64 x #s(literal 1/4 binary64)) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))))))
(*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal -1 binary64))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (/.f64 (neg.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)
(*.f64 (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 x #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(*.f64 x (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)))
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x) #s(literal 1/2 binary64))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 x)) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) x)
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 x x))
(/.f64 (*.f64 (sqrt.f64 x) (sqrt.f64 (neg.f64 x))) (sqrt.f64 (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 (neg.f64 x) x)) x)
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (sqrt.f64 x) #s(literal 1 binary64)) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (sqrt.f64 x)) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))) (+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))))
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 (/.f64 x (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 (*.f64 (*.f64 (neg.f64 x) x) #s(literal -1 binary64)) (*.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 x x) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) (*.f64 x x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (*.f64 x x)))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))))
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(fma.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(fma.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 (neg.f64 x) x #s(literal -1 binary64))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (*.f64 x x)) (log.f64 x)) #s(literal -1 binary64)))
(+.f64 (*.f64 (*.f64 x x) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) (*.f64 (*.f64 (neg.f64 x) x) (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))))
(+.f64 (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x #s(literal 1 binary64)) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))) (*.f64 (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64))) (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64)))))
(+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) (*.f64 x x)) (*.f64 (/.f64 x (-.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)))
(+.f64 (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) (*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (*.f64 (neg.f64 x) x)))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 4 binary64))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x #s(literal 1 binary64))))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 x (+.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 x #s(literal 4 binary64)))))
(+.f64 #s(literal 0 binary64) (/.f64 x (fma.f64 x x #s(literal 1 binary64))))
(*.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)))
(*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)))
(*.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)))
(*.f64 (neg.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal 1 binary64) (neg.f64 x))
(*.f64 x #s(literal -1 binary64))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 x x) (*.f64 #s(literal 0 binary64) (neg.f64 x)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 (neg.f64 x) x))
(/.f64 (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 x x))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))) (*.f64 x x))
(/.f64 (*.f64 (neg.f64 x) x) x)
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (*.f64 x x))
(/.f64 (*.f64 x x) (neg.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 x) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(neg.f64 x)
(fma.f64 (*.f64 (neg.f64 x) x) (pow.f64 x #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 x) (neg.f64 (sqrt.f64 x)) #s(literal 0 binary64))
(fma.f64 (neg.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (neg.f64 x) #s(literal 0 binary64))
(fma.f64 x #s(literal -1 binary64) #s(literal 0 binary64))
(-.f64 (/.f64 #s(literal 0 binary64) x) x)
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 x x)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 x x)))
(-.f64 #s(literal 0 binary64) x)
(+.f64 #s(literal 0 binary64) (neg.f64 x))
(+.f64 (neg.f64 x) #s(literal 0 binary64))

eval109.0ms (3.7%)

Memory
12.3MiB live, 87.6MiB allocated
Compiler

Compiled 19 199 to 2 924 computations (84.8% saved)

prune20.0ms (0.7%)

Memory
39.6MiB live, 39.6MiB allocated
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New92011931
Fresh516
Picked235
Done000
Total92715942
Accuracy
100.0%
Counts
942 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.3%
(/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
99.2%
(/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
99.2%
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))))
✓99.5%
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
53.3%
(/.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
16.4%
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
16.3%
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
99.2%
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
99.1%
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)))) (neg.f64 x))
✓99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
34.5%
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
15.6%
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
99.6%
(sqrt.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
50.7%
#s(approx (/ x (sqrt (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
✓1.6%
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
Compiler

Compiled 474 to 229 computations (51.7% saved)

regimes11.0ms (0.4%)

Memory
7.6MiB live, 7.6MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (/ x (sqrt (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(sqrt.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (*.f64 x x) (*.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))) x))
(*.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64)))))
(/.f64 (sqrt.f64 x) (sqrt.f64 (/.f64 (fma.f64 x x #s(literal 1 binary64)) x)))
(/.f64 x (sqrt.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 (*.f64 x (sqrt.f64 x)) (sqrt.f64 x) #s(literal 1 binary64)))) (neg.f64 x))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 x x #s(literal 1 binary64)))) x)) (fma.f64 x x #s(literal 1 binary64)))
(*.f64 (pow.f64 (fma.f64 x x #s(literal 1 binary64)) #s(literal -1/2 binary64)) x)
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (sqrt.f64 x) #s(literal 4 binary64)))))
Outputs
(sqrt.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
Calls

2 calls:

5.0ms
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
5.0ms
x
Results
AccuracySegmentsBranch
99.6%1x
99.6%1(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes7.0ms (0.2%)

Memory
5.3MiB live, 5.3MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (/ x (sqrt (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Outputs
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
Calls

2 calls:

3.0ms
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
3.0ms
x
Results
AccuracySegmentsBranch
99.5%1x
99.5%1(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes6.0ms (0.2%)

Memory
5.1MiB live, 5.1MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (/ x (sqrt (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
(/.f64 x #s(approx (sqrt (+ (* x x) 1)) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
Outputs
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
Calls

2 calls:

3.0ms
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
3.0ms
x
Results
AccuracySegmentsBranch
53.3%1x
53.3%1(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.2%)

Memory
4.7MiB live, 4.7MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
#s(approx (/ x (sqrt (+ (* x x) 1))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) #s(approx (+ (* 1/2 (* x x)) 1) (*.f64 #s(literal 1/2 binary64) (*.f64 x x)))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 #s(literal 1/2 binary64) (*.f64 x x) #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal 1 binary64))))
Outputs
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
Calls

2 calls:

3.0ms
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
2.0ms
x
Results
AccuracySegmentsBranch
50.7%1x
50.7%1(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes5.0ms (0.2%)

Memory
-76.1MiB live, 3.6MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
Outputs
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
Calls

2 calls:

3.0ms
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
34.5%1x
34.5%1(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes3.0ms (0.1%)

Memory
3.3MiB live, 3.3MiB allocated
Counts
2 → 1
Calls
Call 1
Inputs
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
Outputs
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
Calls

2 calls:

1.0ms
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
15.6%1x
15.6%1(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

regimes2.0ms (0.1%)

Memory
3.1MiB live, 3.1MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

1.0ms
(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
1.0ms
x
Results
AccuracySegmentsBranch
1.6%1x
1.6%1(/.f64 x (sqrt.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))))
Compiler

Compiled 9 to 8 computations (11.1% saved)

simplify66.0ms (2.2%)

Memory
10.3MiB live, 10.3MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03584
15084
27684
310784
413484
515184
617984
732184
8397884
Stop Event
1×node limit
Calls
Call 1
Inputs
(sqrt.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))
Outputs
(sqrt.f64 (*.f64 (/.f64 x (fma.f64 x x #s(literal 1 binary64))) x))
(/.f64 x (sqrt.f64 (fma.f64 x x #s(literal 1 binary64))))
(/.f64 x #s(approx (sqrt (+ 1 (pow x 2))) (-.f64 x (/.f64 #s(literal -1/2 binary64) x))))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) (/.f64 #s(literal -1 binary64) x)) (neg.f64 x))
(*.f64 #s(approx (/ -1 (sqrt (+ (* x x) 1))) #s(literal -1 binary64)) (neg.f64 x))
#s(approx (/ x (sqrt (+ 1 (pow x 2)))) #s(literal -1 binary64))

soundness904.0ms (30.6%)

Memory
7.9MiB live, 7.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0197820
1554766
21615750
34870724
08538691
074273
1207273
2555266
31758248
44216244
56750244
08095228
024107
03898
112798
269998
3609698
0826898
0722
01122
14322
222822
3164022
0854119
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 191 to 113 computations (40.8% saved)

preprocess35.0ms (1.2%)

Memory
24.4MiB live, 24.4MiB allocated
Compiler

Compiled 184 to 88 computations (52.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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