Details

analyze101.0ms (1.4%)

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)

sample2.4s (34.1%)

Results

2.4s

8256×

body

128

valid

Compiler

Compiled 135 to 97 computations (28.1% saved)

simplify60.0ms (0.8%)

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
	1.0b	(.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

1.0b

(*.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)

localize88.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

series28.0ms (0.4%)

Counts

4 → 84

Calls

4 calls:

9.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
8.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
7.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
3.0ms	(.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 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)

simplify85.0ms (1.2%)

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 → 154

Iterations

Useful iterations: 2 (0.0ms)

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

prune251.0ms (3.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	148	6	154
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	149	7	156

Error

0.1b

Counts

156 → 7

Alt Table

Status	Error	Program
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (.f32 2 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 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 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))
▶	0.1b	(+.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 6 (PI.f32)) (*.f32 s r))))
	1.0b	(.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)))
	18.4b	(+.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 (neg.f32 r) (.f32 3 s)))) (cbrt.f32 (.f32 (.f32 (.f32 (.f32 (.f32 6 (PI.f32)) (.f32 6 (PI.f32))) (.f32 6 (PI.f32))) (.f32 (.f32 s s) s)) (.f32 (*.f32 r r) 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 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r))) (cbrt.f32 (.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)))) (exp.f32 (log.f32 (.f32 (.f32 s (*.f32 (PI.f32) r)) 6)))))

Compiler

Compiled 6395 to 3707 computations (42% saved)

localize81.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

series8.0ms (0.1%)

Counts

1 → 24

Calls

1 calls:

8.0ms

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

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary32`
13×	`add-exp-log_binary32`
13×	`pow1_binary32`
8×	`cbrt-unprod_binary32`
8×	`prod-exp_binary32`

Counts

1 → 24

Calls

1 calls:

5.0ms

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

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

407×	`associate-/l/_binary32`
395×	`*-commutative_binary32`
338×	`sqr-pow_binary32`
336×	`associate-/l*_binary32`
287×	`associate-*r/_binary32`

Counts

48 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	54	665
1	132	565
2	487	565
3	756	565
4	1012	565
5	1447	565
6	2224	565
7	3813	565
8	4955	565

prune344.0ms (4.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	148	3	151
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	152	6	158

Error

0.1b

Counts

158 → 6

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.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 (exp.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 6 (PI.f32)) (*.f32 s r))))
	1.0b	(.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 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r))) (cbrt.f32 (.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)))) (exp.f32 (+.f32 (+.f32 (log.f32 6) (log.f32 (PI.f32))) (log.f32 (*.f32 s r))))))
	17.2b	(+.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)))) (cbrt.f32 (.f32 (.f32 (.f32 (.f32 6 6) 6) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 s r) (.f32 s r)) (*.f32 s r))))))

Compiler

Compiled 6223 to 3462 computations (44.4% saved)

localize87.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
	0.3b	(.f32 (.f32 6 (PI.f32)) (*.f32 s r))
✓	0.3b	(.f32 (exp.f32 (log.f32 (.f32 (*.f32 2 (PI.f32)) s))) r)
✓	2.8b	(exp.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)))

series13.0ms (0.2%)

Counts

2 → 36

Calls

2 calls:

10.0ms	(.f32 (exp.f32 (log.f32 (.f32 (*.f32 2 (PI.f32)) s))) r)
3.0ms	(exp.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)))

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`pow1_binary32`
7×	`add-sqr-sqrt_binary32`
6×	`exp-prod_binary32`
5×	`*-un-lft-identity_binary32`
5×	`add-cube-cbrt_binary32`

Counts

2 → 38

Calls

2 calls:

6.0ms	(.f32 (exp.f32 (log.f32 (.f32 (*.f32 2 (PI.f32)) s))) r)
3.0ms	(exp.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)))

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

649×	`associate-*l/_binary32`
463×	`exp-sum_binary32`
415×	`fma-def_binary32`
296×	`associate-+l+_binary32`
257×	`sqr-pow_binary32`

Counts

74 → 61

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	59	863
1	107	800
2	426	800
3	813	800
4	1633	800
5	2552	800
6	5468	800

prune272.0ms (3.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	119	6	125

Error

0.1b

Counts

125 → 6

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.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 (exp.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 6 (PI.f32)) (*.f32 s r))))
	1.0b	(.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 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r))) (cbrt.f32 (.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)))) (exp.f32 (+.f32 (+.f32 (log.f32 6) (log.f32 (PI.f32))) (log.f32 (*.f32 s r))))))
	17.2b	(+.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)))) (cbrt.f32 (.f32 (.f32 (.f32 (.f32 6 6) 6) (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) (.f32 (.f32 (.f32 s r) (.f32 s r)) (*.f32 s r))))))

Compiler

Compiled 5271 to 3085 computations (41.5% saved)

localize94.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

series1.2s (16.9%)

Counts

2 → 48

Calls

2 calls:

1.1s

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

74.0ms

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

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`pow1_binary32`
15×	`pow1/3_binary32`
11×	`pow-prod-up_binary32`
10×	`add-sqr-sqrt_binary32`
9×	`add-exp-log_binary32`

Counts

2 → 68

Calls

2 calls:

16.0ms

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

5.0ms

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

simplify170.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

697×	`fma-neg_binary32`
381×	`fma-def_binary32`
359×	`unswap-sqr_binary32`
291×	`*-commutative_binary32`
232×	`log-prod_binary32`

Counts

116 → 100

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	124	2557
1	269	2249
2	710	1951
3	1537	1797
4	4254	1753
5	4973	1753
6	4972	1753
7	5017	1753

prune522.0ms (7.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	155	5	160
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	157	9	166

Error

0.0b

Counts

166 → 9

Alt Table

Status	Error	Program
	16.4b	(+.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 (neg.f32 r) (.f32 3 s)))) (pow.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)) 1/3)))
	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 (pow.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r) 2/3) (cbrt.f32 (.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 (expm1.f32 (log1p.f32 (.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r))))) (cbrt.f32 (.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 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (pow.f32 (cbrt.f32 (.f32 6 (.f32 s (*.f32 (PI.f32) r)))) 2))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))
	10.7b	(+.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 (pow.f32 (pow.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r)))) 6) 1/3) (cbrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))))
✓	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (exp.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 6 (PI.f32)) (*.f32 s r))))
	1.0b	(.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)))) (exp.f32 (+.f32 (+.f32 (log.f32 6) (log.f32 (PI.f32))) (log.f32 (*.f32 s r))))))

Compiler

Compiled 9216 to 5722 computations (37.9% saved)

regimes868.0ms (12.1%)

Accuracy

Total 0.1b remaining (38.5%)

Threshold costs 0.1b (38.5%)

Counts

205 → 1

Compiler

Compiled 24919 to 17935 computations (28% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-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	28	60
1	47	60
2	53	60
3	58	60
4	60	60
5	60	60

end236.0ms (3.3%)

Compiler: Compiled 465 to 334 computations (28.2% saved)

Details

analyze101.0ms (1.4%)

sample2.4s (34.1%)

simplify60.0ms (0.8%)

prune5.0ms (0.1%)

localize88.0ms (1.2%)

series28.0ms (0.4%)

rewrite25.0ms (0.4%)

simplify85.0ms (1.2%)

prune251.0ms (3.5%)

localize81.0ms (1.1%)

series8.0ms (0.1%)

rewrite7.0ms (0.1%)

simplify69.0ms (1%)

prune344.0ms (4.8%)

localize87.0ms (1.2%)

series13.0ms (0.2%)

rewrite11.0ms (0.2%)

simplify62.0ms (0.9%)

prune272.0ms (3.8%)

localize94.0ms (1.3%)

series1.2s (16.9%)

rewrite26.0ms (0.4%)

simplify170.0ms (2.4%)

prune522.0ms (7.3%)

regimes868.0ms (12.1%)

simplify3.0ms (0%)

end236.0ms (3.3%)

Profiling