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 34 computations (68.2% saved)

sample3.0s (28.1%)

Results

2.5s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-mult: 1.2s (62.6% of total)

ival-div: 305.0ms (15.8% of total)

ival-add: 155.0ms (8% of total)

ival-sqrt: 74.0ms (3.8% of total)

ival-exp: 54.0ms (2.8% of total)

ival-fabs: 46.0ms (2.4% of total)

ival-pi: 33.0ms (1.7% of total)

ival->=: 30.0ms (1.6% of total)

...in/eval/compile.rkt:70:19: 21.0ms (1.1% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

preprocess78.0ms (0.7%)

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)

explain1.1s (10.6%)

FPErrors

Click to see full error table

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

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Results

159.0ms

512×

valid

Compiler

Compiled 1278 to 128 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-add: 40.0ms (37.4% of total)

ival-mult: 35.0ms (32.7% of total)

ival-div: 19.0ms (17.8% of total)

ival-sqrt: 4.0ms (3.7% of total)

ival-exp: 3.0ms (2.8% of total)

ival-fabs: 3.0ms (2.8% of total)

ival-pi: 2.0ms (1.9% of total)

ival-true: 1.0ms (0.9% of total)

...in/eval/compile.rkt:70:19: 1.0ms (0.9% of total)

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

eval1.0ms (0%)

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

prune9.0ms (0.1%)

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)

simplify248.0ms (2.3%)

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)

localize125.0ms (1.2%)

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	99.1%	(/.f64 #s(literal 1/2 binary64) (*.f64 x x))
✓	accuracy	98.4%	(sqrt.f64 (PI.f64))

Results

98.0ms

256×

valid

Compiler

Compiled 144 to 24 computations (83.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-exp: 50.0ms (66% of total)

ival-div: 7.0ms (9.2% of total)

ival-fma: 5.0ms (6.6% of total)

ival-pow: 5.0ms (6.6% of total)

ival-mult: 3.0ms (4% of total)

ival-sqrt: 2.0ms (2.6% of total)

ival-pi: 1.0ms (1.3% of total)

ival-add: 1.0ms (1.3% of total)

ival-fabs: 1.0ms (1.3% of total)

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

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

...in/eval/compile.rkt:70:19: 0.0ms (0% of total)

series22.0ms (0.2%)

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
6.0ms	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)))))
3.0ms	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)))))
1.0ms	x	@	0	(pow (/ 1 (fabs x)) 7)
1.0ms	x	@	0	(pow (/ 1 (fabs x)) 5)

rewrite323.0ms (3%)

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))))
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simplify113.0ms (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)))))
(/.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 (+.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)))
(/.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)))
(.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))))))))
(+.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)))))))))
(+.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)))))))))
(+.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)))))))))
(.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))))))))
(+.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)))))))))
(+.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)))))))))
(+.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)))))))))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 binary64))
(pow.f64 x #s(literal 2 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 #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 #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 #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 #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 #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 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 5 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fabs.f64 x) #s(literal 7 binary64)))
(+.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)))

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))

eval66.0ms (0.6%)

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

prune27.0ms (0.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Accuracy

100.0%

Counts

214 → 4

Alt Table

Click to see full alt table

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

Compiler

Compiled 71 to 58 computations (18.3% saved)

simplify151.0ms (1.4%)

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)

localize184.0ms (1.7%)

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	98.5%	(/.f64 #s(literal 1/2 binary64) (pow.f64 (fabs.f64 x) #s(literal 3 binary64)))
	accuracy	100.0%	(PI.f64)
✓	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	99.9%	(/.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%	(fabs.f64 x)
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x))
✓	accuracy	99.8%	(/.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (fabs.f64 x)) (pow.f64 x #s(literal 2 binary64)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x))
✓	accuracy	99.8%	(.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	98.4%	(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fabs.f64 x)))

Results

124.0ms

256×

valid

Compiler

Compiled 272 to 36 computations (86.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-div: 15.0ms (30.6% of total)

ival-pow: 11.0ms (22.4% of total)

ival-mult: 10.0ms (20.4% of total)

ival-exp: 6.0ms (12.2% of total)

ival-add: 2.0ms (4.1% of total)

ival-sqrt: 2.0ms (4.1% of total)

ival-pi: 1.0ms (2% of total)

ival-fabs: 1.0ms (2% of total)

...in/eval/compile.rkt:70:19: 1.0ms (2% of total)

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

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

series30.0ms (0.3%)

Counts

16 → 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 (fabs.f64 x)>
#<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)))>

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

42 calls:

Time	Variable		Point	Expression
4.0ms	x	@	-inf	(* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
2.0ms	x	@	inf	(* (pow x 2) (fabs x))
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	@	0	(* 1/2 (* (/ 1 (* (pow x 2) (fabs x))) (sqrt (/ 1 (PI)))))
1.0ms	x	@	-inf	(* (sqrt (/ 1 (PI))) (/ 1/2 (pow (fabs x) 3)))

rewrite149.0ms (1.4%)

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	531
1	638	338

Stop Event

1×	node limit

Counts

16 → 464

Calls

Call 1

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

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

simplify305.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

442×	`times-frac`
413×	`associate-l`
401×	`associate-r`
347×	`associate-/r*`
272×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	844	18431
1	1758	15069
2	6838	14967

Stop Event

1×	node limit

Counts

536 → 483

Calls

Call 1

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

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

eval126.0ms (1.2%)

Compiler: Compiled 19151 to 3087 computations (83.9% saved)

prune143.0ms (1.3%)

Pruning

20 alts after pruning (20 fresh and 0 done)

	Pruned	Kept	Total
New	884	20	904
Fresh	0	0	0
Picked	4	0	4
Done	0	0	0
Total	888	20	908

Accuracy

100.0%

Counts

908 → 20

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 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
	1.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
	48.9%	(.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (/.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)))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
	2.3%	(*.f64 (+.f64 (+.f64 (/.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)))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
▶	100.0%	(.f64 (+.f64 (+.f64 (/.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)))) (/.f64 #s(literal 1 binary64) x)) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
	1.8%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (pow.f64 (/.f64 (cbrt.f64 #s(literal 1/2 binary64)) x) #s(literal 3 binary64)))
	1.8%	(*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (/.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64))))
	1.8%	(.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
▶	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 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
▶	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) x) (sqrt.f64 (PI.f64))))
▶	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 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (*.f64 #s(literal 3 binary64) (log.f64 x)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
▶	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (exp.f64 (*.f64 (neg.f64 (log.f64 x)) #s(literal 3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
	1.7%	(sqrt.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (PI.f64)))

Compiler

Compiled 554 to 474 computations (14.4% saved)

simplify376.0ms (3.5%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
✓	cost-diff	0	(/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
✓	cost-diff	6400	(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
✓	cost-diff	6400	(*.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)))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
✓	cost-diff	128	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	cost-diff	128	(.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)))))
✓	cost-diff	0	(pow.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
✓	cost-diff	0	(/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) x) (sqrt.f64 (PI.f64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) x) (sqrt.f64 (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	0	(/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))
✓	cost-diff	0	(+.f64 (/.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))))
✓	cost-diff	0	(+.f64 (+.f64 (/.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)))) (/.f64 #s(literal 1 binary64) x))
✓	cost-diff	0	(.f64 (+.f64 (+.f64 (/.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)))) (/.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

998×	`fma-define`
836×	`distribute-rgt-in`
802×	`distribute-lft-in`
674×	`*-commutative`
443×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	47	849
1	91	819
2	224	777
3	663	777
4	1954	777
5	3473	777
6	4880	777
7	5714	777
8	6692	777
9	7204	777
10	7454	777
11	7454	777
12	7454	777
13	7836	777
14	7884	777
15	7884	777
16	7884	777
17	7884	777

Stop Event

1×	node limit

Calls

Call 1

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

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

localize347.0ms (3.2%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.6%	(/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x)
✓	accuracy	99.6%	(pow.f64 (/.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) x) #s(literal 3 binary64))
✓	accuracy	98.4%	(cbrt.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
	accuracy	100.0%	(sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
✓	accuracy	99.6%	(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) x) (sqrt.f64 (PI.f64)))
✓	accuracy	99.8%	(/.f64 (pow.f64 x #s(literal -2 binary64)) x)
	accuracy	98.4%	(sqrt.f64 (PI.f64))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
✓	accuracy	99.8%	(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) x))
	accuracy	100.0%	(PI.f64)
✓	accuracy	100.0%	(+.f64 (+.f64 (/.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)))) (/.f64 #s(literal 1 binary64) x))
✓	accuracy	99.9%	(/.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

288.0ms

256×

valid

Compiler

Compiled 255 to 44 computations (82.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 59.0ms

ival-pow: 23.0ms (38.7% of total)

ival-div: 15.0ms (25.2% of total)

ival-mult: 11.0ms (18.5% of total)

ival-sqrt: 3.0ms (5% of total)

ival-add: 2.0ms (3.4% of total)

ival-cbrt: 2.0ms (3.4% of total)

ival-pi: 1.0ms (1.7% of total)

ival-exp: 1.0ms (1.7% of total)

...in/eval/compile.rkt:70:19: 1.0ms (1.7% of total)

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

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

series103.0ms (1%)

Counts

21 → 192

Calls

Call 1

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

Outputs
#<alt (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 21/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 27/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) x)>
#<alt (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -3/4 binary64) (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -3/4 binary64) (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) x))>
#<alt (.f64 #s(literal -1 binary64) (/.f64 (+.f64 (.f64 #s(literal -15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal -1 binary64) (.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (.f64 #s(literal -3/4 binary64) (*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) x))>
#<alt (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 (+.f64 #s(literal 15/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 4 binary64))))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 3/4 binary64) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 6 binary64))))) x)>
#<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 #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 #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 #s(literal 3/4 binary64) (pow.f64 x #s(literal 2 binary64)))) (pow.f64 x #s(literal 7 binary64)))>
#<alt (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (/.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 5 binary64)))>
#<alt (/.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 5 binary64)))>
#<alt (/.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 5 binary64)))>
#<alt (/.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal 5 binary64)))>
#<alt (/.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 5 binary64)))>
#<alt (/.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 5 binary64)))>
#<alt (/.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 5 binary64)))>
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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))))>
#<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))))>

Calls

57 calls:

Time	Variable		Point	Expression
46.0ms	x	@	0	(/ (cbrt (pow (PI) -1/2)) x)
29.0ms	x	@	0	(* (+ (+ (/ 15/8 (pow x 7)) (/ 3/4 (pow x 5))) (/ 1 x)) (* (exp (pow x 2)) (pow (PI) -1/2)))
8.0ms	x	@	inf	(/ (cbrt (pow (PI) -1/2)) x)
2.0ms	x	@	-inf	(* (+ (+ (/ 15/8 (pow x 7)) (/ 3/4 (pow x 5))) (/ 1 x)) (* (exp (pow x 2)) (pow (PI) -1/2)))
1.0ms	x	@	inf	(* (+ (+ (/ 15/8 (pow x 7)) (/ 3/4 (pow x 5))) (/ 1 x)) (* (exp (pow x 2)) (pow (PI) -1/2)))

rewrite313.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

297×	`log1p-expm1-u`
297×	`expm1-log1p-u`
282×	`pow1`
278×	`add-exp-log`
275×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	558
1	763	476

Stop Event

1×	node limit

Counts

21 → 745

Calls

Call 1

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

Outputs
(-.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (.f64 (cbrt.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) (pow.f64 (PI.f64) #s(literal -1/6 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (.f64 (sqrt.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 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 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)))) (*.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (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 (.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 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (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 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))) (.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))))
(exp.f64 (+.f64 (log.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))))))
(exp.f64 (.f64 (+.f64 (log.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (.f64 #s(literal -1/2 binary64) (log.f64 (PI.f64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (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 (fma.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)))) #s(literal 2 binary64)) (-.f64 (fma.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 1 binary64) x))) (/.f64 (pow.f64 x #s(literal -2 binary64)) (-.f64 (fma.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 1 binary64) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (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 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (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 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (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 15/8 binary64) (pow.f64 x #s(literal -7 binary64)) (fma.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)) (/.f64 #s(literal 1 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (fma.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)))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))) (+.f64 (pow.f64 (fma.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)))) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal -2 binary64)) (.f64 (fma.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 1 binary64) x)))))
(/.f64 (-.f64 (pow.f64 (fma.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)))) #s(literal 2 binary64)) (pow.f64 x #s(literal -2 binary64))) (-.f64 (fma.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 1 binary64) x)))
(/.f64 (+.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3/4 binary64))) x) (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 12 binary64)) x))
(/.f64 (+.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3/4 binary64))) (/.f64 x #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal 1 binary64))) (.f64 (pow.f64 x #s(literal 12 binary64)) (/.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3/4 binary64))) (neg.f64 x)) (.f64 (pow.f64 x #s(literal 12 binary64)) #s(literal -1 binary64))) (.f64 (pow.f64 x #s(literal 12 binary64)) (neg.f64 x)))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))) x) (.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 45/32 binary64) (pow.f64 x #s(literal 12 binary64))))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 45/32 binary64) (pow.f64 x #s(literal 12 binary64))))) x))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))) (/.f64 x #s(literal 1 binary64))) (.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 45/32 binary64) (pow.f64 x #s(literal 12 binary64))))) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 45/32 binary64) (pow.f64 x #s(literal 12 binary64))))) (/.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal -7 binary64)) #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 x)) (.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 45/32 binary64) (pow.f64 x #s(literal 12 binary64))))) #s(literal -1 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 45/32 binary64) (pow.f64 x #s(literal 12 binary64))))) (neg.f64 x)))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64)))) x) (.f64 (-.f64 (.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 1 binary64))) (.f64 (-.f64 (.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)))) x))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64)))) (/.f64 x #s(literal 1 binary64))) (.f64 (-.f64 (.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 1 binary64))) (.f64 (-.f64 (.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)))) (/.f64 x #s(literal 1 binary64))))
(/.f64 (+.f64 (.f64 (-.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64)))) (neg.f64 x)) (.f64 (-.f64 (.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 -1 binary64))) (.f64 (-.f64 (.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)))) (neg.f64 x)))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 12 binary64))) (.f64 x (fma.f64 #s(literal 15/8 binary64) (pow.f64 x #s(literal 5 binary64)) (.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 3/4 binary64))))) (.f64 x (pow.f64 x #s(literal 12 binary64))))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 45/32 binary64) (pow.f64 x #s(literal 12 binary64)))))) (.f64 x (+.f64 (.f64 #s(literal 3375/512 binary64) (pow.f64 (pow.f64 x #s(literal -7 binary64)) #s(literal 3 binary64))) (.f64 #s(literal 27/64 binary64) (pow.f64 (pow.f64 x #s(literal -5 binary64)) #s(literal 3 binary64)))))) (*.f64 x (+.f64 (/.f64 #s(literal 225/64 binary64) (pow.f64 x #s(literal 14 binary64))) (-.f64 (/.f64 #s(literal 9/16 binary64) (pow.f64 x #s(literal 10 binary64))) (/.f64 #s(literal 45/32 binary64) (pow.f64 x #s(literal 12 binary64)))))))
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(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 x #s(literal 1 binary64))))
(/.f64 #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 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 (/.f64 x #s(literal 1 binary64)) x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) 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 (pow.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (.f64 x (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)) (.f64 (neg.f64 x) (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.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 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 3/2 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 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(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 (/.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 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) x))
(.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (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 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))

simplify384.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

547×	`associate-l`
416×	`associate-*r/`
412×	`associate-/r*`
396×	`times-frac`
358×	`associate-*l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	1214	33113
1	2774	31289

Stop Event

1×	node limit

Counts

937 → 717

Calls

Call 1

Inputs
(.f64 #s(literal 15/8 binary64) (.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 7 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))
(/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 21/8 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))) (pow.f64 x #s(literal 7 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 15/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 21/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 27/16 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))) (.f64 #s(literal 27/16 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))))) (pow.f64 x #s(literal 7 binary64)))
(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64))))) x)
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) x)
(/.f64 (+.f64 (.f64 #s(literal 3/4 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (+.f64 (.f64 #s(literal 15/8 binary64) (.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 6 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (exp.f64 (pow.f64 x #s(literal 2 binary64)))))) x)
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(exp.f64 (.f64 (log.f64 (.f64 #s(literal 3/4 binary64) (pow.f64 x #s(literal -5 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal -3 binary64))))
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 x (pow.f64 (PI.f64) #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(/.f64 #s(literal 1 binary64) (*.f64 x (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) x))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (/.f64 x #s(literal 1 binary64))))
(/.f64 #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 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (*.f64 (/.f64 x #s(literal 1 binary64)) x))
(/.f64 (pow.f64 x #s(literal -2 binary64)) (*.f64 (sqrt.f64 (PI.f64)) x))
(/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))
(/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) x)
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (neg.f64 x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal -3 binary64)))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64))) (neg.f64 (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (*.f64 (sqrt.f64 (PI.f64)) (neg.f64 x)))
(/.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) (neg.f64 (*.f64 (sqrt.f64 (PI.f64)) x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 x (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (*.f64 (/.f64 x #s(literal 1 binary64)) (neg.f64 x)))
(/.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) 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 (pow.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64))) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64)))
(/.f64 (.f64 #s(literal -1 binary64) (pow.f64 (PI.f64) #s(literal -1/2 binary64))) (.f64 (neg.f64 x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (pow.f64 x #s(literal 3 binary64)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 #s(literal -1 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))) (.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (.f64 (pow.f64 x #s(literal 2 binary64)) (neg.f64 x)))
(/.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (pow.f64 x #s(literal 2 binary64)))
(/.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 1 binary64)) (.f64 x (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal -1 binary64)) (.f64 x (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)) (.f64 (neg.f64 x) x))
(/.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal 1 binary64)) (.f64 (neg.f64 x) (/.f64 x #s(literal 1 binary64))))
(/.f64 (.f64 (neg.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64)) (.f64 (neg.f64 x) (neg.f64 x)))
(/.f64 (.f64 (neg.f64 (pow.f64 x #s(literal -2 binary64))) #s(literal 1 binary64)) (.f64 (neg.f64 x) (sqrt.f64 (PI.f64))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 x #s(literal -3 binary64)))) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(/.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 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) x) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) x) #s(literal 2 binary64)) #s(literal 3/2 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 (/.f64 (sqrt.f64 (PI.f64)) (pow.f64 x #s(literal -3 binary64))) #s(literal -1 binary64))
(pow.f64 (*.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64)))
(log.f64 (exp.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64)))))
(cbrt.f64 (*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (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 (pow.f64 x #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (PI.f64) #s(literal 3/2 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(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 (/.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 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
(*.f64 (cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (pow.f64 x #s(literal -1/2 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (sqrt.f64 x)) (pow.f64 x #s(literal -3/2 binary64)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) #s(literal 1 binary64)) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
(*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) x))
(.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (sqrt.f64 x)) #s(literal 1 binary64)) (.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (pow.f64 x #s(literal -3/2 binary64))))
(*.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (sqrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (sqrt.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) x) (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) x) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) x))
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (cbrt.f64 (PI.f64))) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 4 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (/.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) #s(literal 2 binary64)) (sqrt.f64 x)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 x)) (sqrt.f64 x)))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))
(pow.f64 (/.f64 x (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)) #s(literal -1 binary64))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) (pow.f64 x #s(literal 4 binary64))))
(log.f64 (exp.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) #s(literal 3 binary64)) (pow.f64 x #s(literal -3 binary64))))
(cbrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (PI.f64) #s(literal 3/2 binary64))) (pow.f64 (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 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (log.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x))))

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

eval138.0ms (1.3%)

Compiler: Compiled 21238 to 3872 computations (81.8% saved)

prune143.0ms (1.3%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1015	17	1032
Fresh	10	5	15
Picked	3	2	5
Done	0	0	0
Total	1028	24	1052

Accuracy

100.0%

Counts

1052 → 24

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%	(pow.f64 (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) x) (cbrt.f64 #s(literal 1/2 binary64))) #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 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
	1.8%	(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
▶	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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
✓	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 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) x) (sqrt.f64 (PI.f64))))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (PI.f64))))
	1.8%	(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))
	1.8%	(.f64 #s(literal 1/2 binary64) (/.f64 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (PI.f64))))
	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 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) x)))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
	1.8%	(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 (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 (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))))
▶	1.8%	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64))))

Compiler

Compiled 609 to 481 computations (21% saved)

simplify31.0ms (0.3%)

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))
	cost-diff	0	(/.f64 #s(literal 1 binary64) x)
✓	cost-diff	256	(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64)))
✓	cost-diff	256	(.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))))
✓	cost-diff	0	(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))
✓	cost-diff	0	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64))
✓	cost-diff	0	(sqrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64)))
✓	cost-diff	0	(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 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	0	(/.f64 #s(literal 1 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	(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

162×	`associate-r`
114×	`associate-l`
75×	`associate-*r/`
54×	`associate-*l/`
40×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	717
1	73	669
2	168	663
3	385	609
4	529	609
5	622	609
6	634	609

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

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

localize145.0ms (1.4%)

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64)))
✓	accuracy	99.6%	(/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x)
✓	accuracy	99.6%	(pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))
	accuracy	100.0%	(PI.f64)
✓	accuracy	99.9%	(/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64))
✓	accuracy	99.7%	(pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))
✓	accuracy	80.9%	(sqrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64)))
	accuracy	100.0%	(PI.f64)
	accuracy	99.9%	(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
✓	accuracy	99.8%	(.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x)))
✓	accuracy	99.7%	(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 #s(literal 1 binary64) x))
	accuracy	100.0%	(PI.f64)
	accuracy	99.9%	(/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x)
✓	accuracy	99.8%	(/.f64 (/.f64 #s(literal 1 binary64) x) x)
✓	accuracy	99.7%	(*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))
✓	accuracy	100.0%	(*.f64 (/.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))
	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)

Results

93.0ms

256×

valid

Compiler

Compiled 221 to 34 computations (84.6% saved)

Precisions

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

ival-pow: 20.0ms (36.8% of total)

ival-mult: 13.0ms (24% of total)

ival-div: 12.0ms (22.1% of total)

ival-exp: 4.0ms (7.4% of total)

ival-sqrt: 4.0ms (7.4% of total)

ival-pi: 1.0ms (1.8% of total)

...in/eval/compile.rkt:70:19: 1.0ms (1.8% of total)

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

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

series16.0ms (0.2%)

Counts

16 → 156

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 (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64))))>
#<alt (sqrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64)))>
#<alt (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64))>
#<alt (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64))>
#<alt (.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))))>
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64)))>
#<alt (pow.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 2 binary64))>
#<alt (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 binary64) x) x))>
#<alt (/.f64 (/.f64 #s(literal 1 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 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x)>

Outputs
#<alt (*.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64)))))))) x)>
#<alt (/.f64 (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (.f64 #s(literal 1/6 binary64) (.f64 (pow.f64 x #s(literal 2 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))))))))) x)>
#<alt (/.f64 #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 (/.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)))))>
#<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 (/.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 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 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<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 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>
#<alt (*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) #s(literal 1/4 binary64)) (/.f64 #s(literal 1 binary64) x))>

Calls

48 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
1.0ms	x	@	0	(/ (pow (/ 1 x) 6) (PI))
1.0ms	x	@	0	(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))
1.0ms	x	@	0	(/ (pow (PI) -1/4) x)
0.0ms	x	@	-inf	(* (/ (exp (pow x 2)) x) (sqrt (/ 1 (PI))))

rewrite292.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

381×	`log1p-expm1-u`
309×	`prod-diff`
224×	`expm1-log1p-u`
217×	`associate-r`
213×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	35	410
1	557	338
2	7138	338

Stop Event

1×	node limit

Counts

16 → 647

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

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

simplify503.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

485×	`associate-l`
479×	`associate-r`
371×	`associate-*r/`
338×	`*-commutative`
327×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	989	24540
1	2151	22163
2	6997	22115

Stop Event

1×	node limit

Counts

803 → 634

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

eval253.0ms (2.4%)

Compiler: Compiled 17529 to 3746 computations (78.6% saved)

prune238.0ms (2.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	1091	3	1094
Fresh	17	0	17
Picked	5	0	5
Done	2	0	2
Total	1115	3	1118

Accuracy

100.0%

Counts

1118 → 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 731 to 239 computations (67.3% saved)

regimes72.0ms (0.7%)

Counts

46 → 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 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) x) (/.f64 (/.f64 #s(literal 1 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 (/.f64 #s(literal -1 binary64) (.f64 (neg.f64 x) x)) x) (sqrt.f64 (PI.f64))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) (sqrt.f64 (PI.f64))) (/.f64 (/.f64 #s(literal 1 binary64) x) x)))
(.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) x)) x) (sqrt.f64 (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) (/.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 (.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) x) x)) (sqrt.f64 (PI.f64))))
(sqrt.f64 (/.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 x #s(literal -3 binary64))) (sqrt.f64 (PI.f64)))
(*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal 6 binary64)) (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 3 binary64))) (sqrt.f64 (PI.f64))))
(*.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 (pow.f64 x #s(literal -2 binary64)) x) (sqrt.f64 (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 (/.f64 #s(literal 1 binary64) x) #s(literal 3 binary64)) (sqrt.f64 (PI.f64))))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 x #s(literal -3 binary64)) (sqrt.f64 (PI.f64)))))
(.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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (PI.f64))) (.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal -2 binary64)) x)))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 #s(literal 1 binary64) x) (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 (/.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) (/.f64 (pow.f64 x #s(literal -2 binary64)) (sqrt.f64 (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 1/2 binary64) (.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/2 binary64)) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 (pow.f64 x #s(literal 2 binary64))))))
(.f64 #s(literal 1/2 binary64) (.f64 (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (PI.f64) #s(literal -1/4 binary64)) x) x)))
(*.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 (/.f64 (pow.f64 (PI.f64) #s(literal -1/6 binary64)) x) (cbrt.f64 #s(literal 1/2 binary64))) #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 (/.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)))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64)))
(.f64 (+.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (.f64 (+.f64 (+.f64 (/.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)))) (/.f64 #s(literal 1 binary64) x)) (pow.f64 (PI.f64) #s(literal -1/2 binary64))))
(.f64 (+.f64 (+.f64 (/.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)))) (/.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:

42.0ms

(*.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))))))

13.0ms

(fabs.f64 x)

13.0ms

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

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

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

Calls

1 calls:

7.0ms

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)

soundness1.1s (9.9%)

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	844	18431
1	1758	15069
2	6838	14967
0	59	1432
1	216	776
2	534	560
3	2417	505
0	35	410
1	557	338
2	7138	338
0	989	24540
1	2151	22163
2	6997	22115
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)

preprocess29.0ms (0.3%)

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

analyze0.0ms (0%)

sample3.0s (28.1%)

preprocess78.0ms (0.7%)

explain1.1s (10.6%)

eval1.0ms (0%)

prune9.0ms (0.1%)

simplify248.0ms (2.3%)

localize125.0ms (1.2%)

series22.0ms (0.2%)

rewrite323.0ms (3%)

simplify113.0ms (1.1%)

eval66.0ms (0.6%)

prune27.0ms (0.3%)

simplify151.0ms (1.4%)

localize184.0ms (1.7%)

series30.0ms (0.3%)

rewrite149.0ms (1.4%)

simplify305.0ms (2.9%)

eval126.0ms (1.2%)

prune143.0ms (1.3%)

simplify376.0ms (3.5%)

localize347.0ms (3.2%)

series103.0ms (1%)

rewrite313.0ms (2.9%)

simplify384.0ms (3.6%)

eval138.0ms (1.3%)

prune143.0ms (1.3%)

simplify31.0ms (0.3%)

localize145.0ms (1.4%)

series16.0ms (0.2%)

rewrite292.0ms (2.7%)

simplify503.0ms (4.7%)

eval253.0ms (2.4%)

prune238.0ms (2.2%)

regimes72.0ms (0.7%)

regimes9.0ms (0.1%)

simplify2.0ms (0%)

soundness1.1s (9.9%)

preprocess29.0ms (0.3%)

end0.0ms (0%)

Profiling