Details

analyze103.0ms (1.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	2.1%	97.9%	0
0%	2.1%	97.9%	1
1%	1%	97.9%	2
1%	1%	97.9%	3
1.5%	0.5%	97.9%	4
1.5%	0.5%	97.9%	5
1.8%	0.3%	97.9%	6
1.8%	0.3%	97.9%	7
1.9%	0.1%	97.9%	8
1.9%	0.1%	97.9%	9
2%	0.1%	97.9%	10
2%	0.1%	97.9%	11
2%	0%	97.9%	12
2%	0%	97.9%	13
2%	0%	97.9%	14

Compiler

Compiled 50 to 36 computations (28% saved)

sample2.0s (22.9%)

Results

1.9s

8256×

body

128

valid

Compiler

Compiled 135 to 97 computations (28.1% saved)

simplify58.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

672×	`fma-neg_binary32`
634×	`associate-l_binary32`
530×	`associate-r_binary32`
445×	`associate-/r*_binary32`
406×	`*-commutative_binary32`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	53
1	66	43
2	237	35
3	864	32
4	2572	32
5	3890	32
6	4293	32
7	4871	32
8	4870	32

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	1.3b	(.f32 (/.f32 (/.f32 1/8 (.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))

Status

Error

Program

1.3b

(*.f32 (/.f32 (/.f32 1/8 (*.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))

▶

0.2b

(+.f32 (/.f32 (*.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (*.f32 (*.f32 (*.f32 2 (PI.f32)) s) r)) (/.f32 (*.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (*.f32 3 s)))) (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)))

Compiler

Compiled 169 to 117 computations (30.8% saved)

localize82.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
✓	0.3b	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
✓	0.3b	(/.f32 (neg.f32 r) (*.f32 3 s))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) s)

series29.0ms (0.3%)

Counts

4 → 84

Calls

4 calls:

11.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
8.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
7.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
3.0ms	(.f32 (.f32 2 (PI.f32)) s)

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-cbrt-cube_binary32`
32×	`add-exp-log_binary32`
27×	`pow1_binary32`
16×	`cbrt-unprod_binary32`
16×	`prod-exp_binary32`

Counts

4 → 105

Calls

4 calls:

7.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
5.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
4.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
4.0ms	(.f32 (.f32 2 (PI.f32)) s)

simplify86.0ms (1%)

Algorithm

1×	egg-herbie

Rules

512×	`associate-/l*_binary32`
418×	`associate-l_binary32`
326×	`associate-/r*_binary32`
318×	`distribute-rgt-neg-out_binary32`
310×	`associate-r_binary32`

Counts

189 → 153

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	187	2248
1	442	1951
2	1885	1945
3	4571	1945
4	4935	1945

prune239.0ms (2.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	148	5	153
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	149	6	155

Error

0.1b

Counts

155 → 6

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (exp.f32 (log.f32 (.f32 6 (.f32 s (*.f32 (PI.f32) r)))))))
	23.8b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (log.f32 (exp.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))))
	16.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (cbrt.f32 (.f32 (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))))
	1.3b	(.f32 (/.f32 (/.f32 1/8 (.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))

Compiler

Compiled 6252 to 3613 computations (42.2% saved)

localize85.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (/.f32 (neg.f32 r) 3) s)
	0.3b	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
	0.3b	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
	0.4b	(.f32 (.f32 2 (PI.f32)) s)

series7.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(/.f32 (/.f32 (neg.f32 r) 3) s)

rewrite24.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

222×	`times-frac_binary32`
116×	`*-un-lft-identity_binary32`
116×	`add-sqr-sqrt_binary32`
116×	`add-cube-cbrt_binary32`
36×	`distribute-lft-neg-in_binary32`

Counts

1 → 158

Calls

1 calls:

7.0ms

(/.f32 (/.f32 (neg.f32 r) 3) s)

simplify157.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

756×	`div-sub_binary32`
455×	`neg-mul-1_binary32`
340×	`associate-/l/_binary32`
290×	`associate-/r/_binary32`
269×	`distribute-frac-neg_binary32`

Counts

182 → 220

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	3491
1	635	3398
2	1734	3326
3	3232	3326
4	4235	3326
5	4972	3326
6	4870	3326

prune542.0ms (6.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	309	3	312
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	311	7	318

Error

0.1b

Counts

318 → 7

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (exp.f32 (log.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r)))))))
	16.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (cbrt.f32 (.f32 (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))))
	1.3b	(.f32 (/.f32 (/.f32 1/8 (.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
	23.8b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (log.f32 (exp.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6))) (cbrt.f32 r))))
	0.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (log1p.f32 (expm1.f32 (.f32 2 (.f32 s (.f32 (PI.f32) r)))))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))

Compiler

Compiled 13502 to 7753 computations (42.6% saved)

localize100.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6)))
	0.4b	(.f32 (.f32 2 (PI.f32)) s)
✓	0.4b	(.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (*.f32 (PI.f32) 6))) (cbrt.f32 r))
✓	0.5b	(*.f32 (cbrt.f32 r) (cbrt.f32 r))

series437.0ms (5%)

Counts

3 → 60

Calls

3 calls:

371.0ms	(.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6)))
43.0ms	(*.f32 (cbrt.f32 r) (cbrt.f32 r))
23.0ms	(.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (*.f32 (PI.f32) 6))) (cbrt.f32 r))

rewrite37.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`pow1_binary32`
55×	`add-exp-log_binary32`
39×	`pow-prod-down_binary32`
38×	`cbrt-unprod_binary32`
38×	`prod-exp_binary32`

Counts

3 → 110

Calls

3 calls:

16.0ms	(.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (*.f32 (PI.f32) 6))) (cbrt.f32 r))
8.0ms	(.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6)))
5.0ms	(*.f32 (cbrt.f32 r) (cbrt.f32 r))

simplify130.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

461×	`fma-def_binary32`
389×	`sqr-pow_binary32`
360×	`associate-l_binary32`
352×	`unswap-sqr_binary32`
349×	`associate-/l*_binary32`

Counts

170 → 140

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	3178
1	324	2226
2	1221	2160
3	1790	2126
4	3097	2034
5	4603	2034
6	4897	2034

prune455.0ms (5.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	164	4	168
Fresh	2	4	6
Picked	1	0	1
Done	0	0	0
Total	167	8	175

Error

0.1b

Counts

175 → 8

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))))
	0.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r))) (+.f32 (log.f32 s) (+.f32 (log.f32 (PI.f32)) (log.f32 6)))) (log.f32 (cbrt.f32 r))))))
▶	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6)))) (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6))))) (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6))))) (cbrt.f32 r))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (exp.f32 (+.f32 (log.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (+.f32 (log.f32 s) (+.f32 (log.f32 (PI.f32)) (log.f32 6))))) (cbrt.f32 r))))
	1.3b	(.f32 (/.f32 (/.f32 1/8 (.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
	23.8b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (log.f32 (exp.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	0.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (log1p.f32 (expm1.f32 (.f32 2 (.f32 s (.f32 (PI.f32) r)))))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))
	0.6b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (log.f32 (exp.f32 (cbrt.f32 (.f32 r r)))) (.f32 s (.f32 (PI.f32) 6))) (cbrt.f32 r))))

Compiler

Compiled 8298 to 4326 computations (47.9% saved)

localize109.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(.f32 (.f32 2 (PI.f32)) s)
✓	0.4b	(.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6)))) (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6))))) (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (*.f32 (PI.f32) 6))))) (cbrt.f32 r))
	0.5b	(*.f32 (cbrt.f32 r) (cbrt.f32 r))
✓	0.5b	(.f32 (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6)))) (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (*.f32 (PI.f32) 6)))))

series1.7s (19%)

Counts

2 → 48

Calls

2 calls:

1.6s

(*.f32 (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6)))) (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6)))))

63.0ms

(*.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6)))) (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6))))) (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6))))) (cbrt.f32 r))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`pow1_binary32`
13×	`add-exp-log_binary32`
11×	`pow-prod-down_binary32`
10×	`associate-r_binary32`
10×	`add-sqr-sqrt_binary32`

Counts

2 → 60

Calls

2 calls:

13.0ms

(*.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6)))) (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6))))) (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6))))) (cbrt.f32 r))

6.0ms

(*.f32 (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6)))) (cbrt.f32 (*.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r)) (*.f32 s (*.f32 (PI.f32) 6)))))

simplify109.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

698×	`unswap-sqr_binary32`
606×	`fma-def_binary32`
548×	`*-commutative_binary32`
262×	`associate-l_binary32`
216×	`exp-prod_binary32`

Counts

108 → 93

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	3083
1	299	2722
2	1146	2278
3	2152	2210
4	4912	2210
5	5357	2210

prune1.2s (13.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	287	2	289
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	287	10	297

Error

0.1b

Counts

297 → 10

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))))
	0.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (exp.f32 (+.f32 (+.f32 (log.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r))) (+.f32 (log.f32 s) (+.f32 (log.f32 (PI.f32)) (log.f32 6)))) (log.f32 (cbrt.f32 r))))))
✓	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6)))) (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6))))) (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6))))) (cbrt.f32 r))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (exp.f32 (+.f32 (log.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (+.f32 (log.f32 s) (+.f32 (log.f32 (PI.f32)) (log.f32 6))))) (cbrt.f32 r))))
	1.3b	(.f32 (/.f32 (/.f32 1/8 (.f32 s (PI.f32))) r) (+.f32 (exp.f32 (/.f32 (neg.f32 r) s)) (pow.f32 (exp.f32 (/.f32 r s)) -1/3)))
	23.8b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (log.f32 (exp.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
	20.8b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (log.f32 (exp.f32 (pow.f32 (sqrt.f32 (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6))))) 4))) (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (*.f32 (PI.f32) 6))))) (cbrt.f32 r))))
	0.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (log1p.f32 (expm1.f32 (.f32 2 (.f32 s (.f32 (PI.f32) r)))))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))
	0.4b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6)))) (cbrt.f32 (.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)) (.f32 s (.f32 (PI.f32) 6))))) (cbrt.f32 (.f32 (log.f32 (exp.f32 (cbrt.f32 (.f32 r r)))) (.f32 s (.f32 (PI.f32) 6))))) (cbrt.f32 r))))
	0.6b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 2 (PI.f32)) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (/.f32 (neg.f32 r) 3) s))) (.f32 (.f32 (log.f32 (exp.f32 (cbrt.f32 (.f32 r r)))) (.f32 s (.f32 (PI.f32) 6))) (cbrt.f32 r))))

Compiler

Compiled 20947 to 10536 computations (49.7% saved)

regimes805.0ms (9.2%)

Accuracy

Total 0.1b remaining (41%)

Threshold costs 0.1b (41%)

Counts

174 → 1

Compiler

Compiled 23833 to 16327 computations (31.5% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-commutative_binary32`
5×	`+-commutative_binary32`
4×	`sub-neg_binary32`
4×	`neg-sub0_binary32`
4×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	53
1	43	53
2	51	53
3	58	53
4	62	53
5	63	53
6	63	53

end240.0ms (2.7%)

Compiler: Compiled 543 to 371 computations (31.7% saved)

Details

analyze103.0ms (1.2%)

sample2.0s (22.9%)

simplify58.0ms (0.7%)

prune4.0ms (0.1%)

localize82.0ms (0.9%)

series29.0ms (0.3%)

rewrite25.0ms (0.3%)

simplify86.0ms (1%)

prune239.0ms (2.7%)

localize85.0ms (1%)

series7.0ms (0.1%)

rewrite24.0ms (0.3%)

simplify157.0ms (1.8%)

prune542.0ms (6.2%)

localize100.0ms (1.1%)

series437.0ms (5%)

rewrite37.0ms (0.4%)

simplify130.0ms (1.5%)

prune455.0ms (5.2%)

localize109.0ms (1.2%)

series1.7s (19%)

rewrite26.0ms (0.3%)

simplify109.0ms (1.2%)

prune1.2s (13.6%)

regimes805.0ms (9.2%)

simplify4.0ms (0%)

end240.0ms (2.7%)

Profiling