Metrics for Jmat.Real.erfi, branch x greater than or equal to 5

analyze1.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	25%	75%	0%	0%	0%	0
100%	25%	0%	75%	0%	0%	0%	1

Compiler

Compiled 107 to 33 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

ival-pi: 0.0ms (0% of total)

ival-div: 0.0ms (0% of total)

ival-add: 0.0ms (0% of total)

ival-exp: 0.0ms (0% of total)

ival-mult: 0.0ms (0% of total)

ival-fabs: 0.0ms (0% of total)

const: 0.0ms (0% of total)

ival-sqrt: 0.0ms (0% of total)

ival->=: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample6.9s (31%)

Results

5.6s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 5.1s

ival-mult: 2.8s (55.4% of total)

ival-div: 1.1s (21.8% of total)

ival-add: 458.0ms (9.1% of total)

ival-sqrt: 199.0ms (3.9% of total)

ival-exp: 119.0ms (2.4% of total)

ival->=: 106.0ms (2.1% of total)

ival-fabs: 102.0ms (2% of total)

ival-pi: 97.0ms (1.9% of total)

const: 66.0ms (1.3% of total)

backward-pass: 3.0ms (0.1% of total)

Bogosity

preprocess169.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

702×	`times-frac`
682×	`distribute-rgt-in`
667×	`distribute-lft-in`
349×	`distribute-rgt-neg-in`
337×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	1432
1	216	776
2	534	560
3	2417	505

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))))))))

Outputs
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 3/4 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 #s(literal 15/8 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 15/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64)) (*.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 3/4 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 #s(literal 15/8 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 15/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64)) (*.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 3/4 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 #s(literal 15/8 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 15/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64)) (*.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))))))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(neg.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 (neg.f64 x))))))))
(.f64 (neg.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 x x)))) (+.f64 (+.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 #s(literal 3/4 binary64) (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 #s(literal 15/8 binary64) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))))
(.f64 (fma.f64 #s(literal 15/8 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x))) (fma.f64 #s(literal 3/4 binary64) (/.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (fabs.f64 x)) (fabs.f64 x)) (fma.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))) (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 4 binary64)) (*.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 6 binary64))))))) (/.f64 (pow.f64 (exp.f64 x) x) (neg.f64 (sqrt.f64 (PI.f64)))))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) #s(literal -15/8 binary64) (-.f64 (/.f64 #s(literal -1 binary64) (fabs.f64 x)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))) (sqrt.f64 (PI.f64))))

Symmetry

(abs x)

explain787.0ms (3.5%)

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(/.f64 #s(literal 15 binary64) #s(literal 8 binary64))`
-	-	`(.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))`
-	-	`(.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`#s(literal 2 binary64)`
-	-	`(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))`
-	-	`(.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
-	-	`(sqrt.f64 (PI.f64))`
-	-	(+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
-	-	`(/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))`
-	-	`(fabs.f64 x)`
-	-	`#s(literal 4 binary64)`
-	-	`(*.f64 (fabs.f64 x) (fabs.f64 x))`
-	-	`(.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(/.f64 #s(literal 1 binary64) #s(literal 2 binary64))`
-	-	`(.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x))))`
-	-	`(PI.f64)`
-	-	`#s(literal 15 binary64)`
-	-	`(exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))`
-	-	`(.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(/.f64 #s(literal 1 binary64) (fabs.f64 x))`
-	-	(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))
-	-	`(.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))`
-	-	`(/.f64 #s(literal 3 binary64) #s(literal 4 binary64))`
-	-	`#s(literal 1 binary64)`
-	-	`#s(literal 3 binary64)`
-	-	`#s(literal 8 binary64)`
-	-	`(.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`
-	-	`(.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))`
-	-	`(*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))`

Results

400.0ms

512×

valid

Compiler

Compiled 1174 to 95 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 193.0ms

ival-mult: 103.0ms (53.3% of total)

ival-div: 40.0ms (20.7% of total)

ival-add: 17.0ms (8.8% of total)

ival-sqrt: 9.0ms (4.7% of total)

ival-exp: 8.0ms (4.1% of total)

ival-fabs: 6.0ms (3.1% of total)

ival-pi: 5.0ms (2.6% of total)

const: 4.0ms (2.1% of total)

backward-pass: 0.0ms (0% of total)

eval3.0ms (0%)

Compiler: Compiled 221 to 59 computations (73.3% saved)

prune3.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))

Status

Accuracy

Program

▶

100.0%

(*.f64 (/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify687.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Program
✓	cost-diff	(PI.f64)
✓	cost-diff	(sqrt.f64 (PI.f64))
✓	cost-diff	(*.f64 x x)
✓	cost-diff	(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))

Rules

2282×	`fma-define`
406×	`distribute-lft-out`
261×	`times-frac`
255×	`associate-*r/`
226×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	506
1	45	506
2	67	506
3	133	506
4	280	506
5	457	506
6	585	506
7	938	506
8	1538	506
9	2955	506
10	3721	506
11	4148	506
12	4254	506
13	4297	506
14	4299	506
15	5593	506
16	5593	506
17	5620	506
18	5620	506
19	5620	506
20	5620	506

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 x x))
(*.f64 x x)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
#s(literal 3/4 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
#s(literal 5 binary64)
(fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))
#s(literal 15/8 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)

Outputs
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(.f64 (pow.f64 (exp.f64 x) x) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x x))) (fabs.f64 x)))) (sqrt.f64 (PI.f64))))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))) (sqrt.f64 (PI.f64))))
(/.f64 (exp.f64 (*.f64 x x)) (sqrt.f64 (PI.f64)))
(/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (PI.f64)))
(exp.f64 (*.f64 x x))
(pow.f64 (exp.f64 x) x)
(*.f64 x x)
x
(sqrt.f64 (PI.f64))
(PI.f64)
(fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))))
#s(literal 3/4 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
#s(literal 1 binary64)
(fabs.f64 x)
#s(literal 5 binary64)
(fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))
#s(literal 15/8 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x)))
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
#s(literal 1/2 binary64)

localize218.0ms (1%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
✓	accuracy	98.9%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Results

147.0ms

256×

valid

Compiler

Compiled 144 to 23 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 78.0ms

ival-pow: 19.0ms (24.2% of total)

ival-div: 17.0ms (21.7% of total)

ival-fma: 14.0ms (17.8% of total)

ival-mult: 9.0ms (11.5% of total)

ival-sqrt: 5.0ms (6.4% of total)

ival-exp: 4.0ms (5.1% of total)

ival-pi: 3.0ms (3.8% of total)

ival-add: 3.0ms (3.8% of total)

ival-fabs: 3.0ms (3.8% of total)

const: 2.0ms (2.5% of total)

backward-pass: 0.0ms (0% of total)

series68.0ms (0.3%)

Counts

7 → 60

Calls

Call 1

Inputs
#<alt (.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))>
#<alt (*.f64 x x)>
#<alt (sqrt.f64 (PI.f64))>
#<alt (PI.f64)>
#<alt (/.f64 #s(literal 1/2 binary64) (*.f64 x x))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (.f64 #s(literal 5/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (.f64 #s(literal 5/4 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))))) (.f64 #s(literal 1/12 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>

Calls

15 calls:

Time	Variable		Point	Expression
15.0ms	x	@	-inf	(* (/ (exp (* x x)) (sqrt (PI))) (+ (* 3/4 (pow (/ 1 (fabs x)) 5)) (+ (* 15/8 (pow (/ 1 (fabs x)) 7)) (/ (+ 1 (/ 1/2 (* x x))) (fabs x)))))
13.0ms	x	@	inf	(* (/ (exp (* x x)) (sqrt (PI))) (+ (* 3/4 (pow (/ 1 (fabs x)) 5)) (+ (* 15/8 (pow (/ 1 (fabs x)) 7)) (/ (+ 1 (/ 1/2 (* x x))) (fabs x)))))
8.0ms	x	@	0	(* (/ (exp (* x x)) (sqrt (PI))) (+ (* 3/4 (pow (/ 1 (fabs x)) 5)) (+ (* 15/8 (pow (/ 1 (fabs x)) 7)) (/ (+ 1 (/ 1/2 (* x x))) (fabs x)))))
3.0ms	x	@	0	(pow (/ 1 (fabs x)) 7)
3.0ms	x	@	0	(pow (/ 1 (fabs x)) 5)

rewrite603.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1085×	`log1p-expm1-u`
477×	`prod-diff`
165×	`expm1-log1p-u`
163×	`add-exp-log`
163×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	28	196
1	384	148
2	5079	148

Stop Event

1×	node limit

Counts

7 → 147

Calls

Call 1

Inputs
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(*.f64 x x)
(sqrt.f64 (PI.f64))
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64))

Outputs
(+.f64 (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))) (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))
(+.f64 (.f64 (.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))) (*.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))))
(/.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (/.f64 (sqrt.f64 (PI.f64)) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (sqrt.f64 (PI.f64)))
(/.f64 (neg.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) (neg.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (neg.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) #s(literal 1 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(pow.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (sqrt.f64 (PI.f64))))))
(exp.f64 (*.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5 binary64)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 5 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -5 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -5 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -7 binary64)))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -7 binary64))) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64))) (cbrt.f64 (pow.f64 x #s(literal -7 binary64))))
(*.f64 (pow.f64 x #s(literal -7/2 binary64)) (pow.f64 x #s(literal -7/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 7 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 7 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 7 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 7 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -7 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -7 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -7 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -7 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)))

simplify249.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

956×	`times-frac`
901×	`fma-define`
681×	`distribute-lft-in`
657×	`distribute-rgt-in`
281×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	378	7166
1	749	6980
2	2590	6635

Stop Event

1×	node limit

Counts

207 → 193

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))))))
(cbrt.f64 (pow.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))))
(log1p.f64 (expm1.f64 (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x))))))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (sqrt.f64 (PI.f64))))))
(exp.f64 (*.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) x)))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(fabs.f64 (pow.f64 x #s(literal 2 binary64)))
(fabs.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64))) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) #s(literal 2 binary64))
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3/2 binary64)))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (PI.f64))) #s(literal 1 binary64))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)))
(.f64 (cbrt.f64 (PI.f64)) (.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 2 binary64)) (cbrt.f64 (PI.f64)))
(.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64))))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/4 binary64))) (pow.f64 (PI.f64) #s(literal 1/4 binary64)))
(.f64 (.f64 (sqrt.f64 (PI.f64)) (cbrt.f64 (PI.f64))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal 2 binary64)))
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (PI.f64) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (PI.f64)))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal 1 binary64)))
(-.f64 (fma.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))))
(.f64 (cbrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64)))) (cbrt.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) x))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))))))
(cbrt.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -5 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -5 binary64)))
(*.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -5 binary64))) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5 binary64))) (cbrt.f64 (pow.f64 x #s(literal -5 binary64))))
(*.f64 (pow.f64 x #s(literal -5/2 binary64)) (pow.f64 x #s(literal -5/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 5 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 5 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -5 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -5 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -5 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -7 binary64)))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -7 binary64))) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64))) (cbrt.f64 (pow.f64 x #s(literal -7 binary64))))
(*.f64 (pow.f64 x #s(literal -7/2 binary64)) (pow.f64 x #s(literal -7/2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 7 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 7 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 7 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 7 binary64)))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -7 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -7 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -7 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -7 binary64))))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (*.f64 #s(literal 3/2 binary64) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 #s(literal 3/2 binary64) (fabs.f64 x))))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 3/2 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))))) (pow.f64 x #s(literal 2 binary64)))
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(pow.f64 x #s(literal -5 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 5 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 5 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 5 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 5 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 10 binary64))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 5 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -5 binary64))))
(pow.f64 x #s(literal -5 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -5 binary64)))))
(pow.f64 x #s(literal -5 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal -5 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -5 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -5 binary64)))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -5 binary64))))
(pow.f64 x #s(literal -5 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))))
(pow.f64 x #s(literal -5 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal -5 binary64))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -7 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -7 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -7 binary64)))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -7 binary64)))
(pow.f64 x #s(literal -7 binary64))
(*.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 1 binary64))
(pow.f64 x #s(literal -7 binary64))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -7 binary64))) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64))) (cbrt.f64 (pow.f64 x #s(literal -7 binary64))))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal -7 binary64))) (cbrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64))))
(*.f64 (pow.f64 x #s(literal -7/2 binary64)) (pow.f64 x #s(literal -7/2 binary64)))
(pow.f64 x #s(literal -7 binary64))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 7 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) #s(literal 7 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 7 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 7 binary64)))
(pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 14 binary64))
(sqrt.f64 (pow.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 7 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal -7 binary64))))
(pow.f64 x #s(literal -7 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -7 binary64)))))
(pow.f64 x #s(literal -7 binary64))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 3 binary64)))
(pow.f64 x #s(literal -7 binary64))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -7 binary64))))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -7 binary64)))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -7 binary64))))
(pow.f64 x #s(literal -7 binary64))
(exp.f64 (log.f64 (pow.f64 x #s(literal -7 binary64))))
(pow.f64 x #s(literal -7 binary64))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64)))
(pow.f64 x #s(literal -7 binary64))

eval221.0ms (1%)

Compiler: Compiled 7937 to 1040 computations (86.9% saved)

prune67.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	209	4	213
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	210	4	214

Accuracy

100.0%

Counts

214 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	1.8%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
▶	100.0%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
▶	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify256.0ms (1.1%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓	cost-diff	0	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (PI.f64))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓	cost-diff	0	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
✓	cost-diff	0	(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓	cost-diff	0	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓	cost-diff	128	(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	128	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))
✓	cost-diff	128	(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
✓	cost-diff	128	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
✓	cost-diff	256	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	cost-diff	256	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))

Rules

544×	`fma-define`
204×	`associate-r`
176×	`associate-*r/`
161×	`associate-l`
120×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	950
1	72	848
2	167	848
3	557	848
4	1385	848
5	1734	848
6	1819	848
7	1884	848
8	1908	848
9	1908	848
10	1988	848
11	2316	848
12	2328	848

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(fabs.f64 x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fabs.f64 x)
x
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
#s(literal 15/8 binary64)
(pow.f64 (fabs.f64 x) #s(literal 7 binary64))
(fabs.f64 x)
x
#s(literal 7 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
#s(literal 3/4 binary64)
(pow.f64 (fabs.f64 x) #s(literal 5 binary64))
#s(literal 5 binary64)
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(fabs.f64 x)
x
#s(literal 3 binary64)

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
#s(literal 1 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(fabs.f64 x)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
(PI.f64)
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(fabs.f64 x)
x
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(*.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))
(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
#s(literal 15/8 binary64)
(pow.f64 (fabs.f64 x) #s(literal 7 binary64))
(fabs.f64 x)
x
#s(literal 7 binary64)
(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
(/.f64 #s(literal 1 binary64) (fabs.f64 x))
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
#s(literal 3/4 binary64)
(pow.f64 (fabs.f64 x) #s(literal 5 binary64))
#s(literal 5 binary64)
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (fabs.f64 x) #s(literal 3 binary64))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(fabs.f64 x)
x
#s(literal 3 binary64)

localize458.0ms (2.1%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 x)
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
✓	accuracy	100.0%	(exp.f64 (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
✓	accuracy	100.0%	(fabs.f64 x)
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓	accuracy	99.8%	(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
✓	accuracy	99.9%	(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	accuracy	99.7%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))

Results

294.0ms

256×

valid

Compiler

Compiled 272 to 35 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 132.0ms

ival-pow: 42.0ms (31.9% of total)

ival-div: 34.0ms (25.8% of total)

ival-mult: 34.0ms (25.8% of total)

ival-add: 6.0ms (4.6% of total)

ival-sqrt: 5.0ms (3.8% of total)

ival-exp: 4.0ms (3% of total)

ival-fabs: 3.0ms (2.3% of total)

const: 3.0ms (2.3% of total)

ival-pi: 2.0ms (1.5% of total)

backward-pass: 0.0ms (0% of total)

series101.0ms (0.5%)

Counts

16 → 64

Calls

Call 1

Inputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))>
#<alt (*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))>
#<alt (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))>
#<alt (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))>
#<alt (/.f64 #s(literal 1 binary64) (PI.f64))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))>
#<alt (fabs.f64 x)>
#<alt (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))>
#<alt (exp.f64 (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))>

Outputs
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))))>
#<alt (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))))>
#<alt (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))>
#<alt (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))>

Calls

42 calls:

Time	Variable		Point	Expression
12.0ms	x	@	-inf	(* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
8.0ms	x	@	0	(* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
5.0ms	x	@	0	(* (sqrt (/ 1 (PI))) (* (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 1 (fabs x)) (/ 3/4 (pow (fabs x) 5)))) (exp (pow x 2))))
4.0ms	x	@	inf	(* (sqrt (/ 1 (PI))) (/ 1/2 (pow (fabs x) 3)))
4.0ms	x	@	-inf	(* (sqrt (/ 1 (PI))) (/ 1/2 (pow (fabs x) 3)))

rewrite264.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

263×	`log1p-expm1-u`
263×	`expm1-log1p-u`
256×	`add-exp-log`
256×	`pow1`
256×	`add-cube-cbrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	39	506
1	638	325

Stop Event

1×	node limit

Counts

16 → 432

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(fabs.f64 x)
(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))

Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (neg.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1 binary64) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 x)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (.f64 x (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal -1 binary64))
(neg.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (neg.f64 (pow.f64 x #s(literal 2 binary64)))))
(neg.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 x #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal -1 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) x))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (cbrt.f64 (pow.f64 x #s(literal -2 binary64)))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)))
(.f64 (.f64 (pow.f64 x #s(literal -2 binary64)) (pow.f64 x #s(literal -1/2 binary64))) (pow.f64 x #s(literal -1/2 binary64)))
(pow.f64 x #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 2 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (exp.f64 (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal -3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal -3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal -3 binary64))))
(exp.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -3 binary64)))
(/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(/.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))))
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(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))

simplify570.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

417×	`associate-l`
412×	`associate-r`
358×	`times-frac`
263×	`exp-prod`
231×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	758	16089
1	1521	12953
2	5994	12830

Stop Event

1×	node limit

Counts

496 → 437

Calls

Call 1

Inputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (fabs.f64 x)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/2 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))))))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (+.f64 (.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
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(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (sqrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(pow.f64 (PI.f64) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (PI.f64)))
(sqrt.f64 (pow.f64 (PI.f64) #s(literal -2 binary64)))
(log.f64 (exp.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(cbrt.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(log1p.f64 (expm1.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(exp.f64 (neg.f64 (log.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (PI.f64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))) #s(literal 1 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (sqrt.f64 (PI.f64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64)))))
(log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64)) (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 3/2 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) x)
(*.f64 x #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x))
(*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (sqrt.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (fabs.f64 (cbrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 x #s(literal 1 binary64))
(/.f64 (neg.f64 x) #s(literal -1 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (cbrt.f64 x) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 x) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)))
(cbrt.f64 (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 x))
(log1p.f64 (expm1.f64 x))
(exp.f64 (log.f64 x))
(exp.f64 (*.f64 (log.f64 x) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))
(*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))
(.f64 (cbrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64)))) (cbrt.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))))
(*.f64 #s(literal -15/8 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 7 binary64)))))
(pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))) #s(literal 3 binary64))
(pow.f64 (/.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 8/15 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(sqrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal -7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64))))))
(cbrt.f64 (/.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))))) #s(literal 1 binary64))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))))
(*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))
(.f64 (cbrt.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64)))) (cbrt.f64 (.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))))
(*.f64 (/.f64 (sqrt.f64 #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))) (/.f64 (sqrt.f64 #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))))
(*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(pow.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 3/4 binary64)) (pow.f64 x #s(literal 5/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4/3 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 5 binary64))))
(sqrt.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 3/4 binary64)) (pow.f64 x #s(literal -5 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))))))
(cbrt.f64 (*.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (exp.f64 x) x)
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
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(*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 #s(literal 1 binary64) (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64))) (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (exp.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(expm1.f64 (log1p.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (pow.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x) #s(literal 2 binary64)) (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(*.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(*.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))
(.f64 (.f64 #s(literal 1/2 binary64) (sqrt.f64 (pow.f64 x #s(literal -3 binary64)))) (sqrt.f64 (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (/.f64 (sqrt.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal 3/2 binary64))) #s(literal 2 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 2 binary64)) #s(literal -1 binary64))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(sqrt.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))

eval298.0ms (1.3%)

Compiler: Compiled 17540 to 2799 computations (84% saved)

prune422.0ms (1.9%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	834	21	855
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	838	21	859

Accuracy

100.0%

Counts

859 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	1.8%	(pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))
	1.8%	(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
	1.8%	(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
	1.8%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
	1.8%	(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
	1.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
	52.7%	(.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
	2.2%	(*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
▶	100.0%	(.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
	1.8%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))
▶	1.8%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
	1.8%	(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (sqrt.f64 (PI.f64)) x)))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x #s(literal 2 binary64))))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))

Compiler

Compiled 602 to 504 computations (16.3% saved)

simplify517.0ms (2.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
✓	cost-diff	6528	(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
✓	cost-diff	6528	(.f64 (exp.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	cost-diff	6528	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	256	(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
✓	cost-diff	256	(/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
✓	cost-diff	256	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
✓	cost-diff	0	(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓	cost-diff	128	(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
✓	cost-diff	128	(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
	cost-diff	0	(PI.f64)
✓	cost-diff	0	(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(pow.f64 x #s(literal 5 binary64))
✓	cost-diff	0	(/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	cost-diff	0	(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x)))
✓	cost-diff	0	(.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))

Rules

829×	`unsub-neg`
673×	`fma-define`
443×	`times-frac`
344×	`distribute-lft-neg-out`
300×	`neg-mul-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	861
1	106	829
2	268	785
3	771	767
4	1462	767
5	1954	767
6	2254	767
7	2456	767
8	2607	767
9	2997	767
10	3993	767
11	5747	767
12	6884	767
13	7605	767

Stop Event

1×	node limit

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 3/4 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
#s(literal 15/8 binary64)
(pow.f64 x #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 1 binary64) x)
x
#s(literal 3 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(.f64 (exp.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(literal 3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)

Outputs
(.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x)))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))
#s(literal 3/4 binary64)
(pow.f64 x #s(literal 5 binary64))
x
#s(literal 5 binary64)
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
#s(literal 15/8 binary64)
(pow.f64 x #s(literal 7 binary64))
#s(literal 7 binary64)
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
#s(literal 2 binary64)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
#s(literal 1/2 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -2 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal -3 binary64)))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(pow.f64 x #s(literal -3 binary64))
(pow.f64 x #s(literal -2 binary64))
x
#s(literal -2 binary64)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64)))
#s(literal 1/2 binary64)
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(pow.f64 x #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
x
(/.f64 #s(literal 1 binary64) x)
x
#s(literal 3 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))))
#s(literal 1/2 binary64)
(.f64 (exp.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (exp.f64 (neg.f64 (log.f64 x))) #s(literal 3 binary64)))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (.f64 (log.f64 x) #s(literal -3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal -3 binary64)))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(pow.f64 x #s(literal -3 binary64))
(*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(*.f64 #s(literal 3 binary64) (neg.f64 (log.f64 x)))
(*.f64 (log.f64 x) #s(literal -3 binary64))
(neg.f64 (log.f64 x))
(log.f64 x)
x
#s(literal 3 binary64)
(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)

localize704.0ms (3.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(.f64 (exp.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	accuracy	99.5%	(*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
✓	accuracy	97.2%	(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
✓	accuracy	99.8%	(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))
✓	accuracy	99.9%	(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))
✓	accuracy	99.8%	(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
	accuracy	100.0%	(exp.f64 (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))
✓	accuracy	99.6%	(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))

Results

534.0ms

256×

valid

Compiler

Compiled 281 to 45 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 339.0ms

ival-mult: 194.0ms (57.2% of total)

ival-pow: 65.0ms (19.2% of total)

ival-div: 39.0ms (11.5% of total)

ival-add: 9.0ms (2.7% of total)

ival-exp: 9.0ms (2.7% of total)

ival-sqrt: 8.0ms (2.4% of total)

ival-log: 7.0ms (2.1% of total)

const: 3.0ms (0.9% of total)

ival-neg: 3.0ms (0.9% of total)

ival-pi: 2.0ms (0.6% of total)

backward-pass: 0.0ms (0% of total)

series255.0ms (1.1%)

Counts

21 → 192

Calls

Call 1

Inputs
#<alt (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))>
#<alt (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (pow.f64 x #s(literal 5 binary64))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)>
#<alt (pow.f64 (PI.f64) #s(literal -1/2 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))>
#<alt (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))>
#<alt (/.f64 (pow.f64 x #s(literal -2 binary64)) x)>
#<alt (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))>
#<alt (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 (exp.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))>
#<alt (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))>
#<alt (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))>

Outputs
#<alt (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 21/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 27/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -3/4 binary64) (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -3/4 binary64) (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -3/4 binary64) (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) x))>
#<alt (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) x)>
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#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>

Calls

60 calls:

Time	Variable		Point	Expression
124.0ms	x	@	0	(* (neg (log x)) 3)
40.0ms	x	@	-inf	(* (neg (log x)) 3)
14.0ms	x	@	inf	(* (neg (log x)) 3)
5.0ms	x	@	-inf	(* (+ (/ 3/4 (pow x 5)) (+ (/ 15/8 (pow x 7)) (/ 1 x))) (* (exp (pow x 2)) (pow (PI) -1/2)))
3.0ms	x	@	inf	(* (+ (/ 3/4 (pow x 5)) (+ (/ 15/8 (pow x 7)) (/ 1 x))) (* (exp (pow x 2)) (pow (PI) -1/2)))

rewrite315.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

328×	`log1p-expm1-u`
328×	`expm1-log1p-u`
308×	`pow1`
306×	`add-exp-log`
302×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	48	557
1	799	426

Stop Event

1×	node limit

Counts

21 → 499

Calls

Call 1

Inputs
(.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x)))
(/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))
(pow.f64 x #s(literal 5 binary64))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (exp.f64 (.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64)))
(*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x))) (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) #s(literal 3 binary64)) (pow.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))))))
(exp.f64 (.f64 (+.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x))) (sqrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x))))
(/.f64 (+.f64 (.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3 binary64))) (pow.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x) #s(literal 3 binary64))) (+.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x) #s(literal 2 binary64)) (.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)))))
(/.f64 (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (pow.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) x)))
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) x (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1 binary64))))) (.f64 (pow.f64 x #s(literal 5 binary64)) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64)))))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) (.f64 (pow.f64 x #s(literal 5 binary64)) (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) (neg.f64 x))) (.f64 (pow.f64 x #s(literal 5 binary64)) (-.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) (neg.f64 x))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64)) (fma.f64 #s(literal 15/8 binary64) x (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64)) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64)))))) (.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64)) (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) (.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64)) (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) (neg.f64 x))) (.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64)) (-.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) (neg.f64 x))))
(/.f64 (+.f64 (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal 8 binary64))) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 15/8 binary64) x (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1 binary64))))) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (pow.f64 x #s(literal 8 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -3/4 binary64) (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64)))))) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))))) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64)))))))
(/.f64 (+.f64 (.f64 #s(literal -3/4 binary64) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) (neg.f64 x))) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (-.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (pow.f64 x #s(literal 2 binary64))))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) (neg.f64 x))))
(/.f64 (+.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) x (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1 binary64))) (pow.f64 x #s(literal 5 binary64))) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 3/4 binary64))) (.f64 (pow.f64 x #s(literal 8 binary64)) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (+.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) x (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64))) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 8 binary64)) (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64))))
(/.f64 (+.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) x (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 1 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (.f64 (pow.f64 x #s(literal 8 binary64)) #s(literal -3/4 binary64))) (.f64 (pow.f64 x #s(literal 8 binary64)) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (pow.f64 x #s(literal 5 binary64))) (.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(literal 3/4 binary64))) (.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64))))) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64))) (.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64))))) (/.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 3/4 binary64))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64))))) #s(literal -3/4 binary64))) (.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 8 binary64))))) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 5 binary64))) (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) (neg.f64 x)) #s(literal 3/4 binary64))) (*.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)) (neg.f64 x)) (pow.f64 x #s(literal 5 binary64))))
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(/.f64 (pow.f64 x #s(literal 2 binary64)) x)
(/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 x))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal -3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(pow.f64 (exp.f64 #s(literal 1 binary64)) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(pow.f64 (exp.f64 #s(literal 3 binary64)) (log.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (.f64 #s(literal 3 binary64) (log.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (.f64 #s(literal 3 binary64) (log.f64 x))))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(+.f64 (log.f64 x) (*.f64 #s(literal 2 binary64) (log.f64 x)))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(+.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 x))
(+.f64 (log.f64 (pow.f64 x #s(literal 3/2 binary64))) (log.f64 (pow.f64 x #s(literal 3/2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal 3 binary64) (log.f64 x)))
(-.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)) (log.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) #s(literal 1 binary64))
(-.f64 (log.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64)))) (log.f64 (neg.f64 x)))
(pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(.f64 (cbrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64)))) (cbrt.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) (*.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))))
(pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 15/8 binary64)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))))
(cbrt.f64 (*.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal -4 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal -4 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 x #s(literal 1 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (.f64 (/.f64 x #s(literal 1 binary64)) x))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (*.f64 x (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x)))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))

simplify715.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

549×	`times-frac`
470×	`exp-prod`
418×	`associate-l`
414×	`associate-r`
363×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	892	20218
1	1801	18721
2	6727	17993

Stop Event

1×	node limit

Counts

691 → 509

Calls

Call 1

Inputs
(.f64 #s(literal 15/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 21/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 27/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))))) (pow.f64 x #s(literal 7 binary64)))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) x)
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(pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))))
(log1p.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 3 binary64) (log.f64 x))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3 binary64) (log.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(.f64 #s(literal 1 binary64) (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(.f64 (cbrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64)))) (cbrt.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))))
(.f64 (.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) (*.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))))
(pow.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7/2 binary64))) #s(literal 2 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 15/8 binary64)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))))
(log.f64 (pow.f64 (exp.f64 #s(literal 15/8 binary64)) (pow.f64 x #s(literal 7 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))))
(cbrt.f64 (*.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(*.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal -4 binary64)))) (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 x (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal -4 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (.f64 x (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 x #s(literal 1 binary64))))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (.f64 (/.f64 x #s(literal 1 binary64)) x))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 #s(literal -1 binary64) (.f64 (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) (/.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 #s(literal 1 binary64) (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (*.f64 x (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)) (*.f64 (neg.f64 x) (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (*.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x)))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))

Outputs
(.f64 #s(literal 15/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 21/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (fma.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 21/8 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 #s(literal 21/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 15/8 binary64))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (.f64 #s(literal 21/8 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 15/8 binary64))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (fma.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 27/16 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 2 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (fma.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 27/16 binary64)) #s(literal 21/8 binary64))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 27/16 binary64)) #s(literal 21/8 binary64))) (*.f64 #s(literal 15/8 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 27/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (fma.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal 27/16 binary64) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 2 binary64))))))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 21/8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 27/16 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 21/8 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 27/16 binary64)) (.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) (.f64 #s(literal 15/8 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 7 binary64)))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (fma.f64 #s(literal 3/4 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64)))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) x)
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(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (*.f64 x (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(/.f64 (.f64 (neg.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (*.f64 (neg.f64 x) (neg.f64 x)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) x))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (cbrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 2 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(sqrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 2 binary64)))
(fabs.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 3 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))

eval542.0ms (2.4%)

Compiler: Compiled 16111 to 2854 computations (82.3% saved)

prune351.0ms (1.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	781	7	788
Fresh	16	0	16
Picked	5	0	5
Done	0	0	0
Total	802	7	809

Accuracy

100.0%

Counts

809 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	70.4%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
	70.4%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
▶	100.0%	(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
▶	70.4%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) x)))
▶	70.4%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
▶	52.3%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
▶	84.6%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))

Compiler

Compiled 174 to 148 computations (14.9% saved)

simplify689.0ms (3.1%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	cost-diff	0	(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓	cost-diff	128	(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
✓	cost-diff	128	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) x))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) x)))
✓	cost-diff	0	(pow.f64 x #s(literal 6 binary64))
✓	cost-diff	128	(*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
✓	cost-diff	128	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	cost-diff	128	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
	cost-diff	0	(pow.f64 (PI.f64) #s(literal -1/2 binary64))
✓	cost-diff	0	(pow.f64 x #s(literal 3 binary64))
✓	cost-diff	0	(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
✓	cost-diff	0	(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	384	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))
✓	cost-diff	384	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
	cost-diff	0	(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
✓	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
	cost-diff	0	(exp.f64 (pow.f64 x #s(literal 2 binary64)))
✓	cost-diff	0	(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))

Rules

1697×	`cube-prod`
1305×	`exp-prod`
605×	`cube-div`
498×	`pow-sqr`
481×	`swap-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	34	564
1	70	528
2	144	483
3	293	483
4	1063	483
5	2170	483
6	2394	483
7	2725	483
8	3232	483
9	3949	483
10	4851	483
11	5792	483
12	6066	483
13	6219	483
14	6367	483
15	6575	483
16	7192	483

Stop Event

1×	node limit

Calls

Call 1

Inputs
(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) x)))
#s(literal 1/2 binary64)
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) x))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

Outputs
(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(exp.f64 (pow.f64 x #s(literal 2 binary64)))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x #s(literal 1/2 binary64)))
(.f64 x (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
#s(literal 1/2 binary64)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(/.f64 #s(literal 1 binary64) x)
#s(literal 1 binary64)
x
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(literal 1/2 binary64)
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 x #s(literal 3 binary64))
x
#s(literal 3 binary64)
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))))
#s(literal 1/2 binary64)
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))
(pow.f64 x #s(literal 6 binary64))
x
#s(literal 6 binary64)
(/.f64 #s(literal 1 binary64) (PI.f64))
#s(literal 1 binary64)
(PI.f64)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 3 binary64)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
#s(literal 1/2 binary64)
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(pow.f64 x #s(literal 3 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)

localize388.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) x)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
✓	accuracy	99.8%	(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) x))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
✓	accuracy	85.8%	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	accuracy	100.0%	(pow.f64 x #s(literal 3 binary64))
✓	accuracy	100.0%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
✓	accuracy	99.8%	(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
✓	accuracy	53.0%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))
✓	accuracy	100.0%	(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
	accuracy	100.0%	(exp.f64 (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(PI.f64)
	accuracy	99.9%	(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)

Results

265.0ms

256×

valid

Compiler

Compiled 177 to 30 computations (83.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 128.0ms

ival-pow: 52.0ms (40.5% of total)

ival-mult: 50.0ms (38.9% of total)

ival-div: 13.0ms (10.1% of total)

ival-sqrt: 5.0ms (3.9% of total)

ival-exp: 4.0ms (3.1% of total)

ival-pi: 2.0ms (1.6% of total)

const: 2.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series52.0ms (0.2%)

Counts

16 → 156

Calls

Call 1

Inputs
#<alt (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))>
#<alt (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))>
#<alt (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))>
#<alt (pow.f64 x #s(literal 6 binary64))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) x)))>
#<alt (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) x)>
#<alt (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)>

Outputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))))) x)>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (pow.f64 x #s(literal 3 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>

Calls

48 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(* (pow x 6) (/ 1 (PI)))
2.0ms	x	@	inf	(* (exp (pow x 2)) (/ (pow (PI) -1/2) x))
2.0ms	x	@	0	(* (pow x 6) (/ 1 (PI)))
2.0ms	x	@	0	(* (exp (pow x 2)) (/ (pow (PI) -1/2) x))
1.0ms	x	@	-inf	(* (exp (pow x 2)) (/ (pow (PI) -1/2) x))

rewrite463.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`log1p-expm1-u`
375×	`expm1-log1p-u`
258×	`associate-r`
189×	`pow1`
186×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	34	371
1	507	359
2	5789	359

Stop Event

1×	node limit

Counts

16 → 323

Calls

Call 1

Inputs
(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(pow.f64 x #s(literal 2 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(pow.f64 x #s(literal 3 binary64))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
(pow.f64 x #s(literal 6 binary64))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) x))
(*.f64 (pow.f64 x #s(literal 2 binary64)) x)
(.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))) #s(literal 1 binary64))
(/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(/.f64 (neg.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 x))
(/.f64 (*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(/.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))))
(cbrt.f64 (pow.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)))
(log1p.f64 (expm1.f64 (/.f64 (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)))
(exp.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(exp.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) #s(literal 1 binary64)))
(+.f64 #s(literal 0 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 x x)
(*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64))))
(.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (.f64 (cbrt.f64 x) x))
(*.f64 (cbrt.f64 (pow.f64 x #s(literal 4 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 x) (pow.f64 x #s(literal 3/2 binary64)))
(*.f64 (pow.f64 x #s(literal 3/2 binary64)) (sqrt.f64 x))
(.f64 (.f64 x (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(sqrt.f64 (pow.f64 x #s(literal 4 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 2 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))))) #s(literal 1 binary64))
(/.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) x)
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64)) x)
(pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1/2 binary64) x)) (.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x)) #s(literal 2 binary64))
(sqrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))))))
(cbrt.f64 (pow.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)))))
(log1p.f64 (expm1.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)))))
(exp.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
(/.f64 (neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (neg.f64 x))
(/.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (neg.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64)) x)
(/.f64 (/.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 x))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) (sqrt.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x)) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal 2 binary64)) x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (sqrt.f64 x) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
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(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 6 binary64)))))
(cbrt.f64 (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 6 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 6 binary64))))
(exp.f64 (*.f64 #s(literal 6 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 6 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)))
(fabs.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))

simplify439.0ms (2%)

Algorithm

1×	egg-herbie

Rules

570×	`associate-*l/`
475×	`distribute-lft-in`
363×	`distribute-rgt-in`
358×	`associate-r`
342×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	535	13527
1	1014	13336
2	3416	11706

Stop Event

1×	node limit

Counts

479 → 323

Calls

Call 1

Inputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))))) x)
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))
(/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))
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(pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(exp.f64 (.f64 (log.f64 (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))
(pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 x (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)) #s(literal 3/2 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3/2 binary64)) (pow.f64 (PI.f64) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)))
(fabs.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64)) #s(literal 3/2 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 9 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 6 binary64)) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64)))) #s(literal 1 binary64))
(pow.f64 x #s(literal 3 binary64))
(pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3/2 binary64))
(pow.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 x #s(literal 9 binary64)) #s(literal 1/3 binary64))
(pow.f64 (pow.f64 x #s(literal 3/2 binary64)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 x #s(literal 6 binary64)))
(fabs.f64 (pow.f64 x #s(literal 3 binary64)))
(log.f64 (exp.f64 (pow.f64 x #s(literal 3 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 x #s(literal 3 binary64)))))
(cbrt.f64 (pow.f64 x #s(literal 9 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 x #s(literal 3 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 x #s(literal 3 binary64))))
(exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))
(exp.f64 (.f64 (.f64 #s(literal 3 binary64) (log.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))
(cbrt.f64 (.f64 (pow.f64 (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))

Outputs
(*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) x)
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) x)
(*.f64 (fma.f64 x x #s(literal 1 binary64)) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x))
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) x)
(/.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64))))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))))) x)
(/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/6 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 x #s(literal 2 binary64))) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) #s(literal 1/2 binary64))))))) x)
(/.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) x)
(/.f64 (+.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fma.f64 x x #s(literal 1 binary64))) (.f64 (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (+.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/6 binary64)) #s(literal 1/2 binary64))) (pow.f64 x #s(literal 4 binary64)))) x)
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 x #s(literal 1/2 binary64)))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(*.f64 x (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))

eval236.0ms (1.1%)

Compiler: Compiled 9383 to 2117 computations (77.4% saved)

prune373.0ms (1.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	666	7	673
Fresh	2	0	2
Picked	5	0	5
Done	0	0	0
Total	673	7	680

Accuracy

100.0%

Counts

680 → 7

Alt Table

Click to see full alt table

Status	Accuracy	Program
	2.2%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
	100.0%	(.f64 (exp.f64 (.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
	70.4%	(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
	70.4%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)))
	70.4%	(.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
	5.5%	(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
	84.6%	(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (PI.f64))))

Compiler

Compiled 698 to 252 computations (63.9% saved)

regimes172.0ms (0.8%)

Counts

41 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (sqrt.f64 (PI.f64)) x)))
(.f64 (exp.f64 (.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) (pow.f64 x #s(literal 2 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (.f64 x (sqrt.f64 (PI.f64)))) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64)))
(*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(pow.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x) #s(literal 3 binary64))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64))))
(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))
(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (.f64 (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3/2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(*.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (fma.f64 x x #s(literal 1 binary64)) (.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))
(.f64 (/.f64 (exp.f64 (.f64 x x)) (sqrt.f64 (PI.f64))) (fma.f64 #s(literal 3/4 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 5 binary64)) (fma.f64 #s(literal 15/8 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) #s(literal 7 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (*.f64 x x))) (fabs.f64 x)))))
(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Outputs
(.f64 (exp.f64 (.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))

Calls

3 calls:

133.0ms

(fabs.f64 x)

16.0ms

14.0ms

(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (*.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (*.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	(.f64 (.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (.f64 (/.f64 #s(literal 1 binary64) #s(literal 2 binary64)) (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 3 binary64) #s(literal 4 binary64)) (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))) (.f64 (/.f64 #s(literal 15 binary64) #s(literal 8 binary64)) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))) (/.f64 #s(literal 1 binary64) (fabs.f64 x))))))
100.0%	1	`(fabs.f64 x)`

Compiler

Compiled 109 to 34 computations (68.8% saved)

regimes14.0ms (0.1%)

Counts

13 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (sqrt.f64 (.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))))
(.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (sqrt.f64 (PI.f64)) x)))

Outputs
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (PI.f64))))

Calls

1 calls:

7.0ms

Results

Accuracy	Segments	Branch
84.6%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes8.0ms (0%)

Counts

6 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (.f64 #s(literal 1 binary64) x) (.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
70.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes6.0ms (0%)

Counts

2 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))

Outputs
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
5.5%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)

Outputs
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
2.2%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative`
3×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	29	156
1	41	156

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f64 (exp.f64 (.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)

Outputs
(.f64 (exp.f64 (.f64 x x)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 6 binary64)) (/.f64 #s(literal 1/4 binary64) (PI.f64))))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 (.f64 x x) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.f64 x (.f64 x x))))
(.f64 #s(literal 1/2 binary64) (.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) x)

soundness3.5s (15.9%)

Rules

1056×	`log1p-expm1-u`
956×	`times-frac`
901×	`fma-define`
702×	`times-frac`
682×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	892	20218
1	1801	18721
2	6727	17993
0	48	557
1	799	426
0	39	506
1	638	325
0	758	16089
1	1521	12953
2	5994	12830
0	378	7166
1	749	6980
2	2590	6635
0	535	13527
1	1014	13336
2	3416	11706
0	34	371
1	507	359
2	5789	359
0	59	1432
1	216	776
2	534	560
3	2417	505

Stop Event

1×	fuel
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 2850 to 746 computations (73.8% saved)

preprocess115.0ms (0.5%)

Remove: (abs x)
Compiler: Compiled 338 to 142 computations (58% saved)

analyze1.0ms (0%)

sample6.9s (31%)

preprocess169.0ms (0.8%)

explain787.0ms (3.5%)

eval3.0ms (0%)

prune3.0ms (0%)

simplify687.0ms (3.1%)

localize218.0ms (1%)

series68.0ms (0.3%)

rewrite603.0ms (2.7%)

simplify249.0ms (1.1%)

eval221.0ms (1%)

prune67.0ms (0.3%)

simplify256.0ms (1.1%)

localize458.0ms (2.1%)

series101.0ms (0.5%)

rewrite264.0ms (1.2%)

simplify570.0ms (2.6%)

eval298.0ms (1.3%)

prune422.0ms (1.9%)

simplify517.0ms (2.3%)

localize704.0ms (3.2%)

series255.0ms (1.1%)

rewrite315.0ms (1.4%)

simplify715.0ms (3.2%)

eval542.0ms (2.4%)

prune351.0ms (1.6%)

simplify689.0ms (3.1%)

localize388.0ms (1.7%)

series52.0ms (0.2%)

rewrite463.0ms (2.1%)

simplify439.0ms (2%)

eval236.0ms (1.1%)

prune373.0ms (1.7%)

regimes172.0ms (0.8%)

regimes14.0ms (0.1%)

regimes8.0ms (0%)

regimes6.0ms (0%)

regimes3.0ms (0%)

simplify5.0ms (0%)

soundness3.5s (15.9%)

preprocess115.0ms (0.5%)

end0.0ms (0%)

Profiling