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

analyze1.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 107 to 71 computations (33.6% saved)

sample3.6s (62.9%)

Results

3.6s	8211×	body	256	infinite
14.0ms	45×	body	256	valid

Bogosity

preprocess438.0ms (7.6%)

Algorithm

1×	egg-herbie

Rules

1046×	`distribute-lft-out`
844×	`unswap-sqr`
732×	`associate-/l*`
718×	`distribute-lft-in`
712×	`associate-+r+`

Problems

254×	No Errors
2×	`(*.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x)))`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	58	1071
1	206	579
2	459	417
3	1776	378
4	4587	366
5	5834	354

Stop Event

1×	node limit

Calls

Call 1

Inputs

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

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

(*.f64 (*.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (*.f64 (fabs.f64 (neg.f64 x)) (fabs.f64 (neg.f64 x))))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 (neg.f64 x))) (*.f64 (/.f64 1 2) (*.f64 (*.f64 (/.f64 1 (fabs.f64 (neg.f64 x))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))))) (*.f64 (/.f64 3 4) (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 (neg.f64 x))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))))) (*.f64 (/.f64 15 8) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (/.f64 1 (fabs.f64 (neg.f64 x))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))) (/.f64 1 (fabs.f64 (neg.f64 x)))))))

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

Symmetry

(abs x)

Compiler

Compiled 639 to 398 computations (37.7% saved)

eval4.0ms (0.1%)

Compiler: Compiled 284 to 169 computations (40.5% saved)

prune2.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Status

Accuracy

Program

▶

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

▶

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 64 to 48 computations (25% saved)

localize133.0ms (2.3%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.6%	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
✓	99.3%	(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
✓	98.4%	(sqrt.f64 (PI.f64))
✓	98.3%	(/.f64 1/2 (*.f64 x x))

Compiler

Compiled 141 to 78 computations (44.7% saved)

series6.0ms (0.1%)

Counts

4 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
1.0ms	x	@	0	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
1.0ms	x	@	0	(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
1.0ms	x	@	-inf	(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
1.0ms	x	@	0	(/.f64 1/2 (*.f64 x x))

rewrite120.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

842×	`log-prod`
754×	`log1p-expm1-u`
754×	`expm1-log1p-u`
550×	`pow-prod-down`
452×	`pow-prod-up`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	63
1	207	55
2	2571	55

Stop Event

1×	node limit

Counts

4 → 124

Calls

Call 1

Inputs
(/.f64 1/2 (*.f64 x x))
(sqrt.f64 (PI.f64))
(/.f64 3/4 (pow.f64 (fabs.f64 x) 4))
(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))

Outputs
(+.f64 0 (*.f64 1/2 (pow.f64 x -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2)))) 1)
(*.f64 1/2 (pow.f64 x -2))
(.f64 (.f64 1/2 (pow.f64 x -2)) 1)
(.f64 (.f64 1/2 (pow.f64 x -2)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 1/2 (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x -4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 x -2) 1/2)
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 x))
(pow.f64 (*.f64 1/2 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 1/4 (pow.f64 x -4)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)
(pow.f64 (*.f64 (pow.f64 x 2) 2) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 2) 2) 1) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) x)) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) 2)) -1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(pow.f64 (pow.f64 (PI.f64) 1/6) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(pow.f64 (pow.f64 (PI.f64) 3) 1/6)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (PI.f64))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 3/4 (pow.f64 x -4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))) (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4)))) 1)
(*.f64 3/4 (pow.f64 x -4))
(.f64 (.f64 3/4 (pow.f64 x -4)) 1)
(.f64 (.f64 3/4 (pow.f64 x -4)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 3/4 (pow.f64 x -4)))
(.f64 (cbrt.f64 (.f64 3/4 (pow.f64 x -4))) (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))))
(.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))) (cbrt.f64 (.f64 3/4 (pow.f64 x -4))))
(*.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)) (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)))
(*.f64 -3/4 (/.f64 1 (neg.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 x -4) 3/4)
(*.f64 (pow.f64 x -4) (log.f64 (exp.f64 3/4)))
(pow.f64 (*.f64 3/4 (pow.f64 x -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) 3)
(pow.f64 (/.f64 9/16 (pow.f64 x 8)) 1/2)
(pow.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -4)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)) 2)
(pow.f64 (*.f64 (pow.f64 x 4) 4/3) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 4) 4/3) 1) -1)
(sqrt.f64 (/.f64 9/16 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4)))))
(cbrt.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4))))
(exp.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))))
(exp.f64 (.f64 (log.f64 (.f64 3/4 (pow.f64 x -4))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3/4 (pow.f64 x -4)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 3/4 (pow.f64 x -4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 4/3)) -1))
(log1p.f64 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))
(+.f64 0 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 2)
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (PI.f64))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (PI.f64)))))

simplify81.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1490×	`log-prod`
990×	`fma-def`
840×	`unswap-sqr`
660×	`distribute-lft-in`
642×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	292	2612
1	586	2529
2	1582	2282
3	6495	2282

Stop Event

1×	node limit

Counts

148 → 139

Calls

Call 1

Inputs
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(+.f64 0 (*.f64 1/2 (pow.f64 x -2)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2))) (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2)))) 1)
(*.f64 1/2 (pow.f64 x -2))
(.f64 (.f64 1/2 (pow.f64 x -2)) 1)
(.f64 (.f64 1/2 (pow.f64 x -2)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 1/2 (pow.f64 x -2)))
(.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2))) (cbrt.f64 (*.f64 1/4 (pow.f64 x -4))))
(.f64 (cbrt.f64 (.f64 1/4 (pow.f64 x -4))) (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))))
(*.f64 (/.f64 (sqrt.f64 1/2) x) (/.f64 (sqrt.f64 1/2) x))
(*.f64 -1/2 (/.f64 1 (neg.f64 (pow.f64 x 2))))
(*.f64 (pow.f64 x -2) 1/2)
(*.f64 (pow.f64 x -2) (log.f64 (exp.f64 1/2)))
(*.f64 (/.f64 1/2 x) (/.f64 1 x))
(pow.f64 (*.f64 1/2 (pow.f64 x -2)) 1)
(pow.f64 (cbrt.f64 (*.f64 1/2 (pow.f64 x -2))) 3)
(pow.f64 (*.f64 1/4 (pow.f64 x -4)) 1/2)
(pow.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6) 1/3)
(pow.f64 (/.f64 (sqrt.f64 1/2) x) 2)
(pow.f64 (*.f64 (pow.f64 x 2) 2) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 2) 2) 1) -1)
(sqrt.f64 (*.f64 1/4 (pow.f64 x -4)))
(log.f64 (pow.f64 (exp.f64 1/2) (pow.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/2 (pow.f64 x -2)))))
(cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6))
(expm1.f64 (log1p.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))))
(exp.f64 (.f64 (log.f64 (.f64 1/2 (pow.f64 x -2))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/2 (pow.f64 x -2))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/2 (pow.f64 x -2)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 1/2) x) 6)) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 1/2) x)) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 2) 2)) -1))
(log1p.f64 (expm1.f64 (*.f64 1/2 (pow.f64 x -2))))
(+.f64 0 (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))) (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (PI.f64)))) 1)
(*.f64 (sqrt.f64 (PI.f64)) 1)
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (PI.f64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) 1/6))
(*.f64 (pow.f64 (PI.f64) 1/6) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) 1/4) (pow.f64 (PI.f64) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (PI.f64)) 2)) (sqrt.f64 (cbrt.f64 (PI.f64))))
(pow.f64 (PI.f64) 1/2)
(pow.f64 (sqrt.f64 (PI.f64)) 1)
(pow.f64 (cbrt.f64 (PI.f64)) 3/2)
(pow.f64 (pow.f64 (PI.f64) 1/6) 3)
(pow.f64 (pow.f64 (PI.f64) 2) 1/4)
(pow.f64 (pow.f64 (PI.f64) 3) 1/6)
(pow.f64 (pow.f64 (PI.f64) 3/2) 1/3)
(pow.f64 (pow.f64 (PI.f64) 1/4) 2)
(fabs.f64 (sqrt.f64 (PI.f64)))
(log.f64 (exp.f64 (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (PI.f64)))))
(cbrt.f64 (pow.f64 (PI.f64) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (log.f64 (sqrt.f64 (PI.f64))))
(exp.f64 (*.f64 (log.f64 (PI.f64)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (PI.f64))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (PI.f64)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (PI.f64))) 1) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (PI.f64) 1/6)) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (PI.f64))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (PI.f64))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (PI.f64))))
(+.f64 0 (*.f64 3/4 (pow.f64 x -4)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))) (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4)))) 1)
(*.f64 3/4 (pow.f64 x -4))
(.f64 (.f64 3/4 (pow.f64 x -4)) 1)
(.f64 (.f64 3/4 (pow.f64 x -4)) (log.f64 (exp.f64 1)))
(.f64 1 (.f64 3/4 (pow.f64 x -4)))
(.f64 (cbrt.f64 (.f64 3/4 (pow.f64 x -4))) (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))))
(.f64 (cbrt.f64 (/.f64 9/16 (pow.f64 x 8))) (cbrt.f64 (.f64 3/4 (pow.f64 x -4))))
(*.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)) (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)))
(*.f64 -3/4 (/.f64 1 (neg.f64 (pow.f64 x 4))))
(*.f64 (pow.f64 x -4) 3/4)
(*.f64 (pow.f64 x -4) (log.f64 (exp.f64 3/4)))
(pow.f64 (*.f64 3/4 (pow.f64 x -4)) 1)
(pow.f64 (cbrt.f64 (*.f64 3/4 (pow.f64 x -4))) 3)
(pow.f64 (/.f64 9/16 (pow.f64 x 8)) 1/2)
(pow.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -4)) 3) 1/3)
(pow.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2)) 2)
(pow.f64 (*.f64 (pow.f64 x 4) 4/3) -1)
(pow.f64 (/.f64 (*.f64 (pow.f64 x 4) 4/3) 1) -1)
(sqrt.f64 (/.f64 9/16 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 3/4) (pow.f64 x -4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 3/4 (pow.f64 x -4)))))
(cbrt.f64 (pow.f64 (*.f64 3/4 (pow.f64 x -4)) 3))
(expm1.f64 (log1p.f64 (*.f64 3/4 (pow.f64 x -4))))
(exp.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))))
(exp.f64 (.f64 (log.f64 (.f64 3/4 (pow.f64 x -4))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 3/4 (pow.f64 x -4))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 3/4 (pow.f64 x -4)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 3/4 (pow.f64 x -4)))) 1/3))
(exp.f64 (*.f64 (log.f64 (/.f64 (sqrt.f64 3/4) (pow.f64 x 2))) 2))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 4) 4/3)) -1))
(log1p.f64 (expm1.f64 (*.f64 3/4 (pow.f64 x -4))))
(+.f64 0 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 2)
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (sqrt.f64 (PI.f64))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 3))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (PI.f64))) 3)) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (PI.f64)))))

Outputs
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
(/.f64 1/2 (pow.f64 x 2))
(*.f64 1/2 (pow.f64 x -2))
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(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 3))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x (sqrt.f64 (PI.f64))) 3)) 1/3))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 x (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (fabs.f64 x))
(*.f64 x (sqrt.f64 (PI.f64)))

eval72.0ms (1.3%)

Compiler: Compiled 4826 to 2776 computations (42.5% saved)

prune19.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	138	1	139
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	1	140

Accuracy

100.0%

Counts

140 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Status

Accuracy

Program

▶

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

▶

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 62 to 48 computations (22.6% saved)

localize166.0ms (2.9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.9%	(*.f64 (pow.f64 x -4) 3/4)
	99.6%	(*.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))
	98.4%	(sqrt.f64 (PI.f64))
	98.3%	(/.f64 1/2 (*.f64 x x))

Compiler

Compiled 136 to 78 computations (42.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (pow.f64 x -4) 3/4)
0.0ms	x	@	inf	(*.f64 (pow.f64 x -4) 3/4)
0.0ms	x	@	-inf	(*.f64 (pow.f64 x -4) 3/4)

rewrite46.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

852×	`associate-r`
766×	`associate-l`
494×	`unpow-prod-down`
316×	`log-prod`
304×	`cbrt-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	73	16
2	767	16

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 (pow.f64 x -4) 3/4)

Outputs
(+.f64 (+.f64 1 (*.f64 (pow.f64 x -4) 3/4)) -1)
(+.f64 0 (*.f64 (pow.f64 x -4) 3/4))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/4))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/8)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/8)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x -4) 3/4)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) (+.f64 1 (.f64 (pow.f64 x -4) 3/4))) (+.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) (+.f64 1 (.f64 (pow.f64 x -4) 3/4))) 1) (+.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) 1))
(pow.f64 (*.f64 (pow.f64 x -4) 3/4) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) 3/4)) 3)
(pow.f64 (*.f64 (pow.f64 x -8) 9/16) 1/2)
(pow.f64 (*.f64 (pow.f64 x -12) 27/64) 1/3)
(pow.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 3/4)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x -4) 3/4)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4))))
(sqrt.f64 (*.f64 (pow.f64 x -8) 9/16))
(fabs.f64 (*.f64 (pow.f64 x -4) 3/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/4))
(cbrt.f64 (*.f64 (pow.f64 x -12) 27/64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -4) 3/4)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -4) 3/4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x -4) 3/4))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -12) 27/64)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (sqrt.f64 3/4))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -4) 3/4)))

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1626×	`times-frac`
760×	`distribute-lft-out`
638×	`fma-neg`
592×	`fma-def`
488×	`distribute-rgt-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	93	1054
1	221	820
2	621	803
3	2900	803

Stop Event

1×	node limit

Counts

37 → 36

Calls

Call 1

Inputs
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(+.f64 (+.f64 1 (*.f64 (pow.f64 x -4) 3/4)) -1)
(+.f64 0 (*.f64 (pow.f64 x -4) 3/4))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/4))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/8)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/8)))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x -4) 3/4)) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) (+.f64 1 (.f64 (pow.f64 x -4) 3/4))) (+.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) 1))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) (+.f64 1 (.f64 (pow.f64 x -4) 3/4))) 1) (+.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) 1))
(pow.f64 (*.f64 (pow.f64 x -4) 3/4) 1)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) 3/4)) 3)
(pow.f64 (*.f64 (pow.f64 x -8) 9/16) 1/2)
(pow.f64 (*.f64 (pow.f64 x -12) 27/64) 1/3)
(pow.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 3/4)) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x -4) 3/4)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4))))
(sqrt.f64 (*.f64 (pow.f64 x -8) 9/16))
(fabs.f64 (*.f64 (pow.f64 x -4) 3/4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/4))
(cbrt.f64 (*.f64 (pow.f64 x -12) 27/64))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -4) 3/4)))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -4) 3/4)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x -4) 3/4))) 3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -12) 27/64)) 1/3))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (sqrt.f64 3/4))) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -4) 3/4)))

Outputs
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(/.f64 3/4 (pow.f64 x 4))
(+.f64 (+.f64 1 (*.f64 (pow.f64 x -4) 3/4)) -1)
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(+.f64 0 (*.f64 (pow.f64 x -4) 3/4))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(+.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/2))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/4))))
(+.f64 (log.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/8)) (log.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/8)))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(-.f64 (+.f64 1 (*.f64 (pow.f64 x -4) 3/4)) 1)
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) (+.f64 1 (.f64 (pow.f64 x -4) 3/4))) (+.f64 1 (.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 3/4 (pow.f64 x -4))) 3) -1) (fma.f64 (+.f64 1 (.f64 3/4 (pow.f64 x -4))) (+.f64 1 (.f64 3/4 (pow.f64 x -4))) (+.f64 1 (+.f64 1 (.f64 3/4 (pow.f64 x -4))))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) 1) 3)) (fma.f64 (fma.f64 3/4 (pow.f64 x -4) 1) (fma.f64 3/4 (pow.f64 x -4) 1) (+.f64 (*.f64 3/4 (pow.f64 x -4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 3/4 (pow.f64 x -4) 1) 3)) (+.f64 1 (*.f64 (fma.f64 3/4 (pow.f64 x -4) 1) (fma.f64 3/4 (pow.f64 x -4) 2))))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) (+.f64 1 (.f64 (pow.f64 x -4) 3/4))) 1) (+.f64 (+.f64 1 (.f64 (pow.f64 x -4) 3/4)) 1))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(pow.f64 (*.f64 (pow.f64 x -4) 3/4) 1)
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 x -4) 3/4)) 3)
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(pow.f64 (*.f64 (pow.f64 x -8) 9/16) 1/2)
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(pow.f64 (*.f64 (pow.f64 x -12) 27/64) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x -12) 27/64))
(cbrt.f64 (*.f64 27/64 (pow.f64 x -12)))
(pow.f64 (*.f64 (pow.f64 x -2) (sqrt.f64 3/4)) 2)
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(pow.f64 (E.f64) (log.f64 (*.f64 (pow.f64 x -4) 3/4)))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4))) 2)) (cbrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 3/4 (pow.f64 x -4)))) 2)) (cbrt.f64 (log.f64 (.f64 3/4 (pow.f64 x -4)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 -4 (log.f64 x) (log.f64 3/4))) 2)) (cbrt.f64 (fma.f64 -4 (log.f64 x) (log.f64 3/4))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4)))) (sqrt.f64 (log.f64 (.f64 (pow.f64 x -4) 3/4))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 3/4 (pow.f64 x -4))))) (sqrt.f64 (log.f64 (.f64 3/4 (pow.f64 x -4)))))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 -4 (log.f64 x) (log.f64 3/4)))) (sqrt.f64 (fma.f64 -4 (log.f64 x) (log.f64 3/4))))
(sqrt.f64 (*.f64 (pow.f64 x -8) 9/16))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(fabs.f64 (*.f64 (pow.f64 x -4) 3/4))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x -4)) 3/4))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(cbrt.f64 (*.f64 (pow.f64 x -12) 27/64))
(cbrt.f64 (*.f64 27/64 (pow.f64 x -12)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 x -4) 3/4)))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(exp.f64 (log.f64 (*.f64 (pow.f64 x -4) 3/4)))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (pow.f64 x -4) 3/4))) 3))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -12) 27/64)) 1/3))
(cbrt.f64 (*.f64 (pow.f64 x -12) 27/64))
(cbrt.f64 (*.f64 27/64 (pow.f64 x -12)))
(exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x -2) (sqrt.f64 3/4))) 2))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 x -4) 3/4)))
(+.f64 1 (+.f64 (*.f64 3/4 (pow.f64 x -4)) -1))
(*.f64 3/4 (pow.f64 x -4))

eval82.0ms (1.4%)

Compiler: Compiled 4809 to 2860 computations (40.5% saved)

prune19.0ms (0.3%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	137	1	138
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	138	1	139

Accuracy

100.0%

Counts

139 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
▶	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Status

Accuracy

Program

▶

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

▶

100.0%

(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (*.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (*.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 60 to 46 computations (23.3% saved)

localize139.0ms (2.4%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
	99.9%	(*.f64 (pow.f64 x -4) 3/4)
✓	99.6%	(*.f64 x (sqrt.f64 (PI.f64)))
	98.4%	(sqrt.f64 (PI.f64))
	98.3%	(/.f64 1/2 (*.f64 x x))

Compiler

Compiled 131 to 77 computations (41.2% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 x (sqrt.f64 (PI.f64)))
0.0ms	x	@	0	(*.f64 x (sqrt.f64 (PI.f64)))
0.0ms	x	@	-inf	(*.f64 x (sqrt.f64 (PI.f64)))

rewrite48.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

540×	`unpow-prod-down`
382×	`log-prod`
356×	`cbrt-prod`
346×	`prod-exp`
312×	`log1p-expm1-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	84	16
2	895	16

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(*.f64 x (sqrt.f64 (PI.f64)))

Outputs
(+.f64 0 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (PI.f64)))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (.f64 x (sqrt.f64 (PI.f64))))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) 1))))
(pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (PI.f64)))))

simplify67.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1434×	`log-prod`
822×	`associate-r`
812×	`fma-def`
696×	`associate-l`
654×	`distribute-lft-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	73	608
1	184	557
2	606	540
3	3945	540
4	7672	540

Stop Event

1×	node limit

Counts

23 → 29

Calls

Call 1

Inputs
(+.f64 0 (*.f64 x (sqrt.f64 (PI.f64))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (PI.f64)))) 1)
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (.f64 x (sqrt.f64 (PI.f64))))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) 1))))
(pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 1)
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 3)
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 2)
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (PI.f64)))))

Outputs
(+.f64 0 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (sqrt.f64 (PI.f64)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))))
(*.f64 x (sqrt.f64 (PI.f64)))
(-.f64 (+.f64 1 (*.f64 x (sqrt.f64 (PI.f64)))) 1)
(*.f64 x (sqrt.f64 (PI.f64)))
(/.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (.f64 x (sqrt.f64 (PI.f64))))) (+.f64 1 (.f64 (+.f64 1 (.f64 x (sqrt.f64 (PI.f64)))) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 x (sqrt.f64 (PI.f64))) 1) 3) -1) (fma.f64 (+.f64 (.f64 x (sqrt.f64 (PI.f64))) 1) (+.f64 (.f64 x (sqrt.f64 (PI.f64))) 1) (+.f64 1 (+.f64 (.f64 x (sqrt.f64 (PI.f64))) 1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (sqrt.f64 (PI.f64)) 1) 3) -1) (fma.f64 (fma.f64 x (sqrt.f64 (PI.f64)) 1) (fma.f64 x (sqrt.f64 (PI.f64)) 1) (+.f64 (*.f64 x (sqrt.f64 (PI.f64))) 2)))
(/.f64 (+.f64 (pow.f64 (fma.f64 x (sqrt.f64 (PI.f64)) 1) 3) -1) (+.f64 1 (*.f64 (fma.f64 x (sqrt.f64 (PI.f64)) 1) (fma.f64 x (sqrt.f64 (PI.f64)) 2))))
(pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 1)
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (cbrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 3)
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) (pow.f64 x 2)) 1/2)
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3) 1/3)
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (sqrt.f64 (*.f64 x (sqrt.f64 (PI.f64)))) 2)
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (E.f64) (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 x (sqrt.f64 (PI.f64)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2)) (cbrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64)))))) (sqrt.f64 (log.f64 (.f64 x (sqrt.f64 (PI.f64))))))
(sqrt.f64 (*.f64 (PI.f64) (pow.f64 x 2)))
(*.f64 x (sqrt.f64 (PI.f64)))
(fabs.f64 (*.f64 x (sqrt.f64 (PI.f64))))
(*.f64 x (sqrt.f64 (PI.f64)))
(log.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (PI.f64))))
(*.f64 x (sqrt.f64 (PI.f64)))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (PI.f64))) 3))
(*.f64 x (sqrt.f64 (PI.f64)))
(expm1.f64 (log1p.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (log.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 3))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 x (sqrt.f64 (PI.f64))))) 1/3))
(*.f64 x (sqrt.f64 (PI.f64)))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 x (sqrt.f64 (PI.f64))))) 2))
(*.f64 x (sqrt.f64 (PI.f64)))
(log1p.f64 (expm1.f64 (*.f64 x (sqrt.f64 (PI.f64)))))
(*.f64 x (sqrt.f64 (PI.f64)))

eval76.0ms (1.3%)

Compiler: Compiled 4852 to 2945 computations (39.3% saved)

prune24.0ms (0.4%)

Pruning

1 alts after pruning (0 fresh and 1 done)

	Pruned	Kept	Total
New	140	0	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	140	1	141

Accuracy

100.0%

Counts

141 → 1

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 224 to 144 computations (35.7% saved)

regimes13.0ms (0.2%)

Accuracy

Total 0b remaining (0%)

Threshold costs 0b (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 (fabs.f64 x) (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (/.f64 3/4 (pow.f64 (fabs.f64 x) 4)) (+.f64 (/.f64 1/2 (*.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))
(.f64 (.f64 (/.f64 1 (sqrt.f64 (PI.f64))) (exp.f64 (.f64 (fabs.f64 x) (fabs.f64 x)))) (+.f64 (+.f64 (+.f64 (/.f64 1 (fabs.f64 x)) (.f64 (/.f64 1 2) (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 3 4) (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))) (.f64 (/.f64 15 8) (.f64 (.f64 (.f64 (.f64 (.f64 (.f64 (/.f64 1 (fabs.f64 x)) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))) (/.f64 1 (fabs.f64 x))))))

Outputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Calls

3 calls:

4.0ms

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

3.0ms

(fabs.f64 x)

3.0ms

Results

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

Compiler

Compiled 303 to 193 computations (36.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
6×	`*-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	110
1	36	110

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Outputs
(.f64 (/.f64 (pow.f64 (exp.f64 x) x) (.f64 x (sqrt.f64 (PI.f64)))) (+.f64 1 (+.f64 (.f64 (pow.f64 x -4) 3/4) (+.f64 (/.f64 1/2 (.f64 x x)) (/.f64 15/8 (pow.f64 x 6))))))

Compiler

Compiled 30 to 23 computations (23.3% saved)

soundness457.0ms (8%)

Rules

1490×	`log-prod`
1490×	`log-prod`
1046×	`distribute-lft-out`
990×	`fma-def`
990×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	58	1071
1	206	579
2	459	417
3	1776	378
4	4587	366
5	5834	354
0	17	63
1	207	55
2	2571	55
0	292	2612
1	586	2529
2	1582	2282
3	6495	2282
0	292	2612
1	586	2529
2	1582	2282
3	6495	2282

Stop Event

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

Compiler

Compiled 741 to 437 computations (41% saved)

end0.0ms (0%)

preprocess65.0ms (1.1%)

Remove: (abs x)
Compiler: Compiled 328 to 230 computations (29.9% saved)

analyze1.0ms (0%)

sample3.6s (62.9%)

preprocess438.0ms (7.6%)

eval4.0ms (0.1%)

prune2.0ms (0%)

localize133.0ms (2.3%)

series6.0ms (0.1%)

rewrite120.0ms (2.1%)

simplify81.0ms (1.4%)

eval72.0ms (1.3%)

prune19.0ms (0.3%)

localize166.0ms (2.9%)

series1.0ms (0%)

rewrite46.0ms (0.8%)

simplify45.0ms (0.8%)

eval82.0ms (1.4%)

prune19.0ms (0.3%)

localize139.0ms (2.4%)

series1.0ms (0%)

rewrite48.0ms (0.8%)

simplify67.0ms (1.2%)

eval76.0ms (1.3%)

prune24.0ms (0.4%)

regimes13.0ms (0.2%)

simplify2.0ms (0%)

soundness457.0ms (8%)

end0.0ms (0%)

preprocess65.0ms (1.1%)

Profiling