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

analyze0.0ms (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)

sample3.4s (36.4%)

Results

2.3s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.8s

ival-mult: 843.0ms (46.1% of total)

ival-div: 560.0ms (30.6% of total)

ival-add: 121.0ms (6.6% of total)

ival-sqrt: 78.0ms (4.3% of total)

ival-exp: 57.0ms (3.1% of total)

ival-fabs: 51.0ms (2.8% of total)

ival->=: 44.0ms (2.4% of total)

ival-pi: 42.0ms (2.3% of total)

const: 29.0ms (1.6% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess103.0ms (1.1%)

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)

explain375.0ms (4.1%)

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

142.0ms

512×

valid

Compiler

Compiled 1174 to 95 computations (91.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 79.0ms

ival-mult: 37.0ms (46.6% of total)

ival-div: 19.0ms (23.9% of total)

ival-add: 9.0ms (11.3% of total)

ival-sqrt: 4.0ms (5% of total)

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

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

ival-pi: 2.0ms (2.5% of total)

const: 2.0ms (2.5% of total)

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

eval1.0ms (0%)

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

prune1.0ms (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)

simplify241.0ms (2.6%)

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)

localize136.0ms (1.5%)

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	98.4%	(sqrt.f64 (PI.f64))
✓	accuracy	98.4%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))

Results

57.0ms

256×

valid

Compiler

Compiled 144 to 23 computations (84% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-pow: 8.0ms (22.9% of total)

ival-div: 7.0ms (20% of total)

ival-fma: 5.0ms (14.3% of total)

ival-mult: 4.0ms (11.5% of total)

ival-pi: 3.0ms (8.6% of total)

ival-exp: 2.0ms (5.7% of total)

ival-sqrt: 2.0ms (5.7% of total)

ival-add: 1.0ms (2.9% of total)

ival-fabs: 1.0ms (2.9% of total)

const: 1.0ms (2.9% of total)

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

series72.0ms (0.8%)

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
48.0ms	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)))))
5.0ms	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)))))
5.0ms	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)))))
1.0ms	x	@	0	(pow (/ 1 (fabs x)) 7)
1.0ms	x	@	0	(pow (/ 1 (fabs x)) 5)

rewrite290.0ms (3.1%)

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)))

simplify102.0ms (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))

eval35.0ms (0.4%)

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

prune88.0ms (1%)

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)

simplify178.0ms (1.9%)

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)

localize232.0ms (2.5%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(fabs.f64 x)
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(*.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))))
✓	accuracy	98.4%	(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 1 binary64) (fabs.f64 x)) (/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64))))
✓	accuracy	99.7%	(/.f64 #s(literal 15/8 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 3/4 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
✓	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(*.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))))
✓	accuracy	99.8%	(/.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%	(.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)))))
✓	accuracy	99.8%	(.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	99.8%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
✓	accuracy	98.3%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))

Results

150.0ms

256×

valid

Compiler

Compiled 272 to 35 computations (87.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 100.0ms

ival-pow: 46.0ms (45.8% of total)

ival-exp: 21.0ms (20.9% of total)

ival-div: 13.0ms (13% of total)

ival-mult: 13.0ms (13% of total)

ival-add: 2.0ms (2% of total)

ival-sqrt: 2.0ms (2% of total)

ival-pi: 1.0ms (1% of total)

ival-fabs: 1.0ms (1% of total)

const: 1.0ms (1% of total)

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

series47.0ms (0.5%)

Counts

17 → 72

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

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 (+.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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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 #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)))))>

Calls

45 calls:

Time	Variable		Point	Expression
12.0ms	x	@	inf	(/ (sqrt (/ 1 (PI))) (fabs x))
4.0ms	x	@	-inf	(* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
2.0ms	x	@	0	(* (sqrt (/ 1 (PI))) (* (+ (/ 15/8 (pow (fabs x) 7)) (+ (/ 1 (fabs x)) (/ 3/4 (pow (fabs x) 5)))) (exp (pow x 2))))
1.0ms	x	@	inf	(* (sqrt (/ 1 (PI))) (/ 1/2 (pow (fabs x) 3)))
1.0ms	x	@	0	(* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))

rewrite183.0ms (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	541
1	638	348

Stop Event

1×	node limit

Counts

17 → 484

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))))
(pow.f64 x #s(literal 2 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)))
(+.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 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
(fabs.f64 x)

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))
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(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal -2 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 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64))))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (sqrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))))
(.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (.f64 x #s(literal 3/4 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 6 binary64))))
(.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) x) (.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 3/4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 6 binary64))))) (+.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))))))
(/.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 3/4 binary64))) (pow.f64 x #s(literal 6 binary64)))
(/.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))) (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 6 binary64))))))
(/.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64)))) (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64)))))
(/.f64 (+.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4/3 binary64)) x) (.f64 x (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4/3 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 x #s(literal -3/4 binary64))) (.f64 x (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4/3 binary64))) (.f64 (neg.f64 x) #s(literal 1 binary64))) (.f64 (neg.f64 x) (*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4/3 binary64))))
(/.f64 (+.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (.f64 (neg.f64 x) #s(literal 3/4 binary64))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 5 binary64))))
(/.f64 (+.f64 (.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 x #s(literal 5 binary64)))) (.f64 (neg.f64 x) #s(literal -3/4 binary64))) (*.f64 (neg.f64 x) (neg.f64 (pow.f64 x #s(literal 5 binary64)))))
(/.f64 (+.f64 x (.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4/3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4/3 binary64)) x))
(/.f64 (+.f64 (neg.f64 x) (.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4/3 binary64)) #s(literal -1 binary64))) (.f64 (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 4/3 binary64)) (neg.f64 x)))
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) x) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) x))
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (neg.f64 x)) (.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1 binary64))) (*.f64 (pow.f64 x #s(literal 5 binary64)) (neg.f64 x)))
(/.f64 (+.f64 (.f64 #s(literal -3/4 binary64) x) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal 1 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) x))
(/.f64 (+.f64 (.f64 #s(literal -3/4 binary64) (neg.f64 x)) (.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) #s(literal -1 binary64))) (*.f64 (neg.f64 (pow.f64 x #s(literal 5 binary64))) (neg.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 5 binary64)) (*.f64 x #s(literal 3/4 binary64)))) (neg.f64 (pow.f64 x #s(literal 6 binary64))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal -3 binary64)) (*.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64))))) (neg.f64 (+.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 6 binary64)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal -2 binary64)) (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))))) (neg.f64 (+.f64 (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal -3/4 binary64) (pow.f64 x #s(literal -5 binary64))))))
(/.f64 (+.f64 (.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64))) (pow.f64 x #s(literal -3 binary64))) (+.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (pow.f64 x #s(literal -2 binary64))) (-.f64 (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) x)))
(pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x) (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))) (/.f64 #s(literal 1 binary64) x))
(fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))
(fma.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 #s(literal 1 binary64) x))
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (cbrt.f64 x)) (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64))))
(fma.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 1 binary64) x))
(fma.f64 (pow.f64 x #s(literal -1/2 binary64)) (pow.f64 x #s(literal -1/2 binary64)) (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 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)))
(-.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)))
x
(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)))

simplify249.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

538×	`times-frac`
490×	`associate-l`
466×	`associate-r`
402×	`associate-/r*`
264×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	879	18754
1	1815	15392
2	7524	15281

Stop Event

1×	node limit

Counts

556 → 501

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)))
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(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) (pow.f64 x #s(literal -3 binary64))))
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(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)))
(-.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)))

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

eval215.0ms (2.3%)

Compiler: Compiled 20599 to 3299 computations (84% saved)

prune234.0ms (2.5%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	947	19	966
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	951	19	970

Accuracy

100.0%

Counts

970 → 19

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 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
	2.3%	(*.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))))
	52.3%	(.f64 (+.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 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))) (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 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1 binary64) x)) (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 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) x)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	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 (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))

Compiler

Compiled 544 to 462 computations (15.1% saved)

simplify145.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))
✓	cost-diff	0	(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
✓	cost-diff	0	(/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
✓	cost-diff	6400	(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))
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	128	(/.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)))))
✓	cost-diff	256	(/.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))))))
	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)) (/.f64 (pow.f64 x #s(literal -2 binary64)) x))
✓	cost-diff	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)))
	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

601×	`fma-define`
292×	`times-frac`
230×	`associate-r`
225×	`associate-l`
207×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	45	862
1	87	838
2	203	793
3	547	793
4	1327	793
5	2045	793
6	2448	793
7	2552	793
8	2595	793
9	2609	793
10	2689	793
11	3017	793
12	3029	793

Stop Event

1×

saturated

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 #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))))))
#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)))))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
#s(literal 1/2 binary64)
(/.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)
(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 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
(cbrt.f64 (*.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)) #s(literal 1/2 binary64))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
x
#s(literal 3 binary64)

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 1 binary64) x) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))))) (.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 1 binary64) x) (+.f64 (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))))
(/.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)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #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 (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 #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)) 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 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (.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))
(*.f64 (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 (pow.f64 x #s(literal -2 binary64)) x)
(pow.f64 x #s(literal -2 binary64))
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 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(.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)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
#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 (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (/.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))
(/.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 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 (/.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) #s(literal 1/2 binary64))
(pow.f64 x #s(literal 2 binary64))
x
#s(literal 2 binary64)
(/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(*.f64 (/.f64 #s(literal 1/2 binary64) x) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (/.f64 #s(literal 1/2 binary64) x))
#s(literal 1/2 binary64)
(/.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)
(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 #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)) (/.f64 #s(literal 1/2 binary64) x)) (pow.f64 x #s(literal 2 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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
(cbrt.f64 (*.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)) #s(literal 1/2 binary64))
(pow.f64 (PI.f64) #s(literal -1/2 binary64))
(PI.f64)
#s(literal -1/2 binary64)
#s(literal 1/2 binary64)
x
#s(literal 3 binary64)

localize251.0ms (2.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.7%	(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))
✓	accuracy	99.5%	(/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
✓	accuracy	99.9%	(/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	accuracy	99.8%	(/.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)))))
✓	accuracy	99.5%	(/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
✓	accuracy	98.5%	(/.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))))))
	accuracy	100.0%	(PI.f64)
✓	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	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) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
✓	accuracy	99.8%	(/.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%	(+.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)))
✓	accuracy	100.0%	(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.7%	(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
✓	accuracy	99.5%	(/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))

Results

182.0ms

256×

valid

Compiler

Compiled 264 to 41 computations (84.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 97.0ms

ival-div: 49.0ms (50.5% of total)

ival-pow: 27.0ms (27.8% of total)

ival-mult: 11.0ms (11.3% of total)

ival-cbrt: 3.0ms (3.1% of total)

ival-exp: 2.0ms (2.1% of total)

ival-add: 2.0ms (2.1% of total)

ival-pi: 1.0ms (1% of total)

const: 1.0ms (1% of total)

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

series98.0ms (1.1%)

Counts

23 → 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 #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))))))>
#<alt (/.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)))))>
#<alt (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))>
#<alt (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))>
#<alt (/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)>
#<alt (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))>
#<alt (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.f64 #s(literal 1 binary64) x))>
#<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))>
#<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 (pow.f64 x #s(literal -2 binary64)) x)>
#<alt (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))>

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)>
#<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 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (-.f64 (.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 3/4 binary64) (*.f64 #s(literal 15/8 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))))) (pow.f64 x #s(literal 4 binary64)))) #s(literal 1 binary64)) x))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (.f64 #s(literal 1/2 binary64) (.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))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
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#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))>
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#<alt (.f64 #s(literal 2 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))>
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#<alt (*.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
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#<alt (*.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 (pow.f64 (cbrt.f64 #s(literal 1/2 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
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#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
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#<alt (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
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#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
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#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
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#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>
#<alt (*.f64 x (sqrt.f64 (PI.f64)))>

Calls

60 calls:

Time	Variable		Point	Expression
40.0ms	x	@	0	(/ (cbrt (* (pow (PI) -1/2) 1/2)) x)
11.0ms	x	@	0	(pow (/ (cbrt (* (pow (PI) -1/2) 1/2)) x) 3)
9.0ms	x	@	inf	(/ (cbrt (* (pow (PI) -1/2) 1/2)) x)
2.0ms	x	@	inf	(/ (pow (PI) -1/2) x)
2.0ms	x	@	-inf	(* (+ (/ 3/4 (pow x 5)) (+ (/ 15/8 (pow x 7)) (/ 1 x))) (* (exp (pow x 2)) (pow (PI) -1/2)))

rewrite175.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

322×	`log1p-expm1-u`
322×	`expm1-log1p-u`
317×	`add-exp-log`
315×	`pow1`
313×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	655
1	745	559

Stop Event

1×	node limit

Counts

23 → 533

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 #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 (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 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 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))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) x)
(cbrt.f64 (*.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)) #s(literal 1/2 binary64))
(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
(+.f64 (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64))) (/.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 #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 (pow.f64 x #s(literal -2 binary64)) x)
(/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64)))

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

simplify239.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

561×	`associate-r`
516×	`associate-l`
414×	`associate-/r*`
346×	`times-frac`
240×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1146	25304
1	2339	23555

Stop Event

1×	node limit

Counts

725 → 662

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

eval153.0ms (1.7%)

Compiler: Compiled 18993 to 3414 computations (82% saved)

prune136.0ms (1.5%)

Pruning

22 alts after pruning (19 fresh and 3 done)

	Pruned	Kept	Total
New	935	13	948
Fresh	8	6	14
Picked	2	3	5
Done	0	0	0
Total	945	22	967

Accuracy

100.0%

Counts

967 → 22

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) (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 (sqrt.f64 (PI.f64))))))
	1.8%	(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x x) (/.f64 #s(literal 1/2 binary64) (/.f64 x (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
	1.8%	(/.f64 #s(literal 1 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1/2 binary64) (.f64 x (sqrt.f64 (PI.f64)))))))
	1.8%	(/.f64 #s(literal 1/2 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 2 binary64)) (.f64 x (sqrt.f64 (PI.f64)))))
▶	100.0%	(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
	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 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (.f64 (/.f64 x #s(literal 1 binary64)) x)))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) x)))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))))
✓	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 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) 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) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))))
✓	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 #s(literal 1 binary64) x) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (sqrt.f64 (PI.f64)))) x)))
	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)) (/.f64 #s(literal 1 binary64) x)) x)))
▶	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) (/.f64 #s(literal 1 binary64) x))))
▶	1.7%	(.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 531 to 431 computations (18.8% saved)

simplify55.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
	cost-diff	0	(pow.f64 x #s(literal 2 binary64))
✓	cost-diff	128	(/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (PI.f64)))))
✓	cost-diff	256	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (PI.f64))))))
✓	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	(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	-6080	(.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) 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	(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))) x)
✓	cost-diff	0	(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))

Rules

216×	`times-frac`
145×	`associate-/r*`
136×	`associate-r`
130×	`associate-l`
116×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	712
1	78	679
2	177	664
3	431	601
4	738	601
5	967	601
6	1186	601
7	1238	601
8	1259	601

Stop Event

1×

saturated

Calls

Call 1

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

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

localize156.0ms (1.7%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f64 x (sqrt.f64 (PI.f64)))
✓	accuracy	99.5%	(/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (PI.f64))))
✓	accuracy	98.5%	(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 #s(literal 1/2 binary64) (*.f64 x (sqrt.f64 (PI.f64))))))
	accuracy	98.4%	(sqrt.f64 (PI.f64))
	accuracy	100.0%	(PI.f64)
✓	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	99.9%	(*.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64)))
✓	accuracy	82.8%	(sqrt.f64 (*.f64 (pow.f64 x #s(literal -6 binary64)) (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	accuracy	100.0%	(.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) (/.f64 #s(literal 1 binary64) x))))
	accuracy	99.8%	(/.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) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.8%	(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(*.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) x)
	accuracy	99.8%	(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
✓	accuracy	99.8%	(/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
✓	accuracy	98.4%	(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) x))
	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
✓	accuracy	100.0%	(exp.f64 (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(PI.f64)
	accuracy	100.0%	(pow.f64 x #s(literal 2 binary64))

Results

103.0ms

256×

valid

Compiler

Compiled 221 to 33 computations (85.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 54.0ms

ival-div: 15.0ms (27.9% of total)

ival-pow: 15.0ms (27.9% of total)

ival-mult: 14.0ms (26% of total)

ival-sqrt: 6.0ms (11.1% of total)

ival-exp: 2.0ms (3.7% of total)

ival-pi: 1.0ms (1.9% of total)

const: 1.0ms (1.9% of total)

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

series26.0ms (0.3%)

Counts

18 → 180

Calls

Call 1

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

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

Calls

54 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(* (pow x -6) (/ 1 (PI)))
1.0ms	x	@	inf	(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
1.0ms	x	@	0	(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
0.0ms	x	@	-inf	(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
0.0ms	x	@	-inf	(/ (exp (pow x 2)) x)

rewrite142.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

290×	`associate-r`
269×	`log1p-expm1-u`
269×	`expm1-log1p-u`
261×	`pow1`
260×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	37	517
1	631	451

Stop Event

1×	node limit

Counts

18 → 489

Calls

Call 1

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

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

simplify294.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

628×	`fma-define`
611×	`associate-l`
490×	`exp-prod`
374×	`*-commutative`
339×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	971	22324
1	2112	20805
2	6953	20789

Stop Event

1×	node limit

Counts

669 → 658

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

eval149.0ms (1.6%)

Compiler: Compiled 16428 to 3610 computations (78% saved)

prune136.0ms (1.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1038	3	1041
Fresh	14	0	14
Picked	5	0	5
Done	3	0	3
Total	1060	3	1063

Accuracy

100.0%

Counts

1063 → 3

Alt Table

Click to see full alt table

Status

Accuracy

Program

2.3%

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

100.0%

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

2.3%

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

Compiler

Compiled 675 to 214 computations (68.3% saved)

regimes40.0ms (0.4%)

Counts

41 → 1

Calls

Call 1

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

Calls

3 calls:

13.0ms

(*.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))))))

12.0ms

(fabs.f64 x)

12.0ms

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)

regimes9.0ms (0.1%)

Accuracy

Total -0.3b remaining (-0.5%)

Threshold costs -0.3b (-0.5%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
2.3%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
1×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	21	66

Stop Event

1×

saturated

Calls

Call 1

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

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

soundness847.0ms (9.2%)

Rules

956×	`times-frac`
901×	`fma-define`
702×	`times-frac`
682×	`distribute-rgt-in`
681×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	971	22324
1	2112	20805
2	6953	20789
0	59	1432
1	216	776
2	534	560
3	2417	505
0	39	541
1	638	348
0	879	18754
1	1815	15392
2	7524	15281
0	378	7166
1	749	6980
2	2590	6635

Stop Event

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

Compiler

Compiled 713 to 141 computations (80.2% saved)

preprocess32.0ms (0.3%)

Remove: (abs x)
Compiler: Compiled 268 to 100 computations (62.7% saved)

analyze0.0ms (0%)

sample3.4s (36.4%)

preprocess103.0ms (1.1%)

explain375.0ms (4.1%)

eval1.0ms (0%)

prune1.0ms (0%)

simplify241.0ms (2.6%)

localize136.0ms (1.5%)

series72.0ms (0.8%)

rewrite290.0ms (3.1%)

simplify102.0ms (1.1%)

eval35.0ms (0.4%)

prune88.0ms (1%)

simplify178.0ms (1.9%)

localize232.0ms (2.5%)

series47.0ms (0.5%)

rewrite183.0ms (2%)

simplify249.0ms (2.7%)

eval215.0ms (2.3%)

prune234.0ms (2.5%)

simplify145.0ms (1.6%)

localize251.0ms (2.7%)

series98.0ms (1.1%)

rewrite175.0ms (1.9%)

simplify239.0ms (2.6%)

eval153.0ms (1.7%)

prune136.0ms (1.5%)

simplify55.0ms (0.6%)

localize156.0ms (1.7%)

series26.0ms (0.3%)

rewrite142.0ms (1.5%)

simplify294.0ms (3.2%)

eval149.0ms (1.6%)

prune136.0ms (1.5%)

regimes40.0ms (0.4%)

regimes9.0ms (0.1%)

simplify2.0ms (0%)

soundness847.0ms (9.2%)

preprocess32.0ms (0.3%)

end0.0ms (0%)

Profiling