Details

analyze125.0ms (2.1%)

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 (33.9%)

Results

2.0s

8256×

body

128

valid

Compiler

Compiled 135 to 97 computations (28.1% saved)

simplify56.0ms (0.9%)

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

prune5.0ms (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
▶	0.1b	(+.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)))
	0.8b	(.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)))

Status

Error

Program

▶

0.1b

(+.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)))

0.8b

(*.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)))

Compiler

Compiled 169 to 117 computations (30.8% saved)

localize81.0ms (1.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (neg.f32 r) (*.f32 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)

series31.0ms (0.5%)

Counts

4 → 84

Calls

4 calls:

9.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
9.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
7.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
5.0ms	(.f32 (.f32 2 (PI.f32)) s)

rewrite25.0ms (0.4%)

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:

6.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
5.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
5.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
4.0ms	(.f32 (.f32 2 (PI.f32)) s)

simplify89.0ms (1.5%)

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

prune244.0ms (4.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	149	4	153
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	150	5	155

Error

0.1b

Counts

155 → 5

Alt Table

Status	Error	Program
	18.3b	(+.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 216 (pow.f32 (.f32 s (*.f32 (PI.f32) r)) 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 (sqrt.f32 r) 3) (/.f32 (neg.f32 (sqrt.f32 r)) 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) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (+.f32 (log.f32 (.f32 (.f32 6 (PI.f32)) s)) (log.f32 r)))))
	0.8b	(.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)))

Compiler

Compiled 6166 to 3553 computations (42.4% saved)

localize94.0ms (1.6%)

Local error

Found 4 expressions with local error:

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

series437.0ms (7.3%)

Counts

3 → 60

Calls

3 calls:

374.0ms	(.f32 (.f32 (.f32 6 (PI.f32)) s) (.f32 (cbrt.f32 r) (cbrt.f32 r)))
41.0ms	(*.f32 (cbrt.f32 r) (cbrt.f32 r))
22.0ms	(.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r))

rewrite36.0ms (0.6%)

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:

14.0ms	(.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r))
8.0ms	(.f32 (.f32 (.f32 6 (PI.f32)) s) (.f32 (cbrt.f32 r) (cbrt.f32 r)))
4.0ms	(*.f32 (cbrt.f32 r) (cbrt.f32 r))

simplify146.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

883×	`fma-def_binary32`
419×	`sqr-pow_binary32`
391×	`unswap-sqr_binary32`
384×	`associate-l_binary32`
315×	`log-prod_binary32`

Counts

170 → 140

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	142	2626
1	300	2214
2	1264	2148
3	1839	2114
4	3204	2022
5	4312	2022
6	4970	2022
7	5076	2022

prune421.0ms (7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	162	6	168
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	164	9	173

Error

0.1b

Counts

173 → 9

Alt Table

Status	Error	Program
▶	0.1b	(+.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 (.f32 6 (PI.f32)) s) (.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 (sqrt.f32 r))) (cbrt.f32 (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 (neg.f32 r) (.f32 3 s)))) (expm1.f32 (log1p.f32 (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (+.f32 (+.f32 (+.f32 (log.f32 (.f32 6 (PI.f32))) (log.f32 s)) (log.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)))) (log.f32 (cbrt.f32 r))))))
	18.3b	(+.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 216 (pow.f32 (.f32 s (*.f32 (PI.f32) r)) 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 (sqrt.f32 r) 3) (/.f32 (neg.f32 (sqrt.f32 r)) 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 6 (.f32 (.f32 s (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 r)) 8))) (cbrt.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 (neg.f32 r) (.f32 3 s)))) (.f32 (exp.f32 (log.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))))) (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 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (.f32 (.f32 (sqrt.f32 (cbrt.f32 r)) (sqrt.f32 (cbrt.f32 r))) (*.f32 (sqrt.f32 (cbrt.f32 r)) (sqrt.f32 (cbrt.f32 r))))) (cbrt.f32 r))))
	0.8b	(.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)))

Compiler

Compiled 8359 to 4366 computations (47.8% saved)

localize112.0ms (1.9%)

Local error

Found 4 expressions with local error:

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

series40.0ms (0.7%)

Counts

1 → 20

Calls

1 calls:

39.0ms

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

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`add-exp-log_binary32`
39×	`pow1_binary32`
30×	`cbrt-unprod_binary32`
30×	`prod-exp_binary32`
30×	`pow-prod-down_binary32`

Counts

1 → 44

Calls

1 calls:

16.0ms

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

simplify84.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

493×	`unswap-sqr_binary32`
477×	`associate-/l/_binary32`
433×	`associate-l_binary32`
391×	`sqr-pow_binary32`
371×	`associate-/r/_binary32`

Counts

64 → 51

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	122	2075
1	291	1481
2	1177	1328
3	1662	1301
4	2277	881
5	3393	881
6	5014	881

prune536.0ms (9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	172	10	182

Error

0.1b

Counts

182 → 10

Alt Table

Status	Error	Program
✓	0.1b	(+.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 (.f32 6 (PI.f32)) s) (.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 (sqrt.f32 r))) (cbrt.f32 (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 (neg.f32 r) (.f32 3 s)))) (expm1.f32 (log1p.f32 (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (+.f32 (+.f32 (+.f32 (log.f32 (.f32 6 (PI.f32))) (log.f32 s)) (log.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)))) (log.f32 (cbrt.f32 r))))))
	18.3b	(+.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 216 (pow.f32 (.f32 s (*.f32 (PI.f32) r)) 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 (sqrt.f32 r) 3) (/.f32 (neg.f32 (sqrt.f32 r)) 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 (exp.f32 (+.f32 (log.f32 (.f32 (.f32 6 (PI.f32)) s)) (log.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r))))) (cbrt.f32 (sqrt.f32 r))) (cbrt.f32 (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 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 6 (.f32 (.f32 s (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 r)) 8))) (cbrt.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 (neg.f32 r) (.f32 3 s)))) (.f32 (exp.f32 (log.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))))) (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 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (.f32 (.f32 (sqrt.f32 (cbrt.f32 r)) (sqrt.f32 (cbrt.f32 r))) (*.f32 (sqrt.f32 (cbrt.f32 r)) (sqrt.f32 (cbrt.f32 r))))) (cbrt.f32 r))))
	0.8b	(.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)))

Compiler

Compiled 9529 to 4698 computations (50.7% saved)

localize102.0ms (1.7%)

Local error

Found 4 expressions with local error:

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

prune538.0ms (9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	168	0	168
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	168	10	178

Error

0.1b

Counts

178 → 10

Alt Table

Status	Error	Program
✓	0.1b	(+.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 (.f32 6 (PI.f32)) s) (.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 (sqrt.f32 r))) (cbrt.f32 (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 (neg.f32 r) (.f32 3 s)))) (expm1.f32 (log1p.f32 (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (+.f32 (+.f32 (+.f32 (log.f32 (.f32 6 (PI.f32))) (log.f32 s)) (log.f32 (.f32 (cbrt.f32 r) (cbrt.f32 r)))) (log.f32 (cbrt.f32 r))))))
	18.3b	(+.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 216 (pow.f32 (.f32 s (*.f32 (PI.f32) r)) 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 (sqrt.f32 r) 3) (/.f32 (neg.f32 (sqrt.f32 r)) 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 (exp.f32 (+.f32 (log.f32 (.f32 (.f32 6 (PI.f32)) s)) (log.f32 (*.f32 (cbrt.f32 r) (cbrt.f32 r))))) (cbrt.f32 (sqrt.f32 r))) (cbrt.f32 (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 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 6 (.f32 (.f32 s (PI.f32)) (pow.f32 (cbrt.f32 (cbrt.f32 r)) 8))) (cbrt.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 (neg.f32 r) (.f32 3 s)))) (.f32 (exp.f32 (log.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))))) (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 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (.f32 (.f32 (sqrt.f32 (cbrt.f32 r)) (sqrt.f32 (cbrt.f32 r))) (*.f32 (sqrt.f32 (cbrt.f32 r)) (sqrt.f32 (cbrt.f32 r))))) (cbrt.f32 r))))
	0.8b	(.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)))

Compiler

Compiled 8369 to 4480 computations (46.5% saved)

regimes488.0ms (8.2%)

Accuracy

Total 0.1b remaining (51.5%)

Threshold costs 0.1b (51.5%)

Counts

122 → 1

Compiler

Compiled 15604 to 10759 computations (31% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary32`
4×	`+-commutative_binary32`
3×	`sub-neg_binary32`
3×	`neg-sub0_binary32`
3×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	72
1	52	72
2	58	72
3	63	72
4	65	72
5	65	72

end233.0ms (3.9%)

Compiler: Compiled 518 to 352 computations (32% saved)

Details

analyze125.0ms (2.1%)

sample2.0s (33.9%)

simplify56.0ms (0.9%)

prune5.0ms (0.1%)

localize81.0ms (1.4%)

series31.0ms (0.5%)

rewrite25.0ms (0.4%)

simplify89.0ms (1.5%)

prune244.0ms (4.1%)

localize94.0ms (1.6%)

series437.0ms (7.3%)

rewrite36.0ms (0.6%)

simplify146.0ms (2.4%)

prune421.0ms (7%)

localize112.0ms (1.9%)

series40.0ms (0.7%)

rewrite25.0ms (0.4%)

simplify84.0ms (1.4%)

prune536.0ms (9%)

localize102.0ms (1.7%)

prune538.0ms (9%)

regimes488.0ms (8.2%)

simplify4.0ms (0.1%)

end233.0ms (3.9%)

Profiling