Details

analyze281.0ms (3.5%)

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)

sample113.0ms (1.4%)

Algorithm

1×

intervals

Results

72.0ms	256×	body	128	valid
11.0ms	256×	pre	128	true

Compiler

Compiled 87 to 63 computations (27.6% saved)

simplify94.0ms (1.2%)

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

prune9.0ms (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)))
	1.8b	(.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)))

1.8b

(*.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)

localize222.0ms (2.7%)

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 2 (PI.f32)) s)
✓	0.3b	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)

series62.0ms (0.8%)

Counts

4 → 84

Calls

4 calls:

21.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
20.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
14.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
6.0ms	(.f32 (.f32 2 (PI.f32)) s)

rewrite53.0ms (0.7%)

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:

11.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
11.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
9.0ms	(.f32 (.f32 2 (PI.f32)) s)
8.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))

simplify167.0ms (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 → 156

Iterations

Useful iterations: 2 (0.0ms)

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

prune642.0ms (7.9%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	150	6	156
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	152	6	158

Error

0.1b

Counts

158 → 6

Alt Table

Status	Error	Program
▶	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (expm1.f32 (log1p.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)))
	0.1b	(+.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 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)))))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s)) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) s))) (cbrt.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 -1/3 (/.f32 r 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 (.f32 (.f32 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))))

Compiler

Compiled 6398 to 3703 computations (42.1% saved)

localize195.0ms (2.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 (neg.f32 r) (*.f32 3 s))
✓	0.3b	(.f32 (expm1.f32 (log1p.f32 (.f32 (*.f32 2 (PI.f32)) s))) r)
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
	0.3b	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)

series18.0ms (0.2%)

Counts

1 → 24

Calls

1 calls:

18.0ms

(*.f32 (expm1.f32 (log1p.f32 (*.f32 (*.f32 2 (PI.f32)) s))) r)

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary32`
3×	`associate-r_binary32`
3×	`associate-l_binary32`
3×	`*-un-lft-identity_binary32`
3×	`add-cube-cbrt_binary32`

Counts

1 → 20

Calls

1 calls:

5.0ms

(*.f32 (expm1.f32 (log1p.f32 (*.f32 (*.f32 2 (PI.f32)) s))) r)

simplify132.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

585×	`fma-def_binary32`
560×	`*-commutative_binary32`
515×	`associate-r_binary32`
240×	`associate-/l*_binary32`
230×	`sqr-pow_binary32`

Counts

44 → 34

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	587
1	82	541
2	313	541
3	1091	541
4	1798	541
5	2255	541
6	3643	541
7	4957	541

prune664.0ms (8.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	2	3	5
Picked	1	0	1
Done	0	0	0
Total	158	5	163

Error

0.1b

Counts

163 → 5

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (expm1.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 -1/3 (/.f32 r 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 (.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)))))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (sqrt.f32 (.f32 s (.f32 2 (PI.f32)))) (sqrt.f32 r)) (.f32 (sqrt.f32 (.f32 s (.f32 2 (PI.f32)))) (sqrt.f32 r)))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
▶	0.1b	(+.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 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))))

Compiler

Compiled 6694 to 4003 computations (40.2% saved)

localize186.0ms (2.3%)

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 2 (PI.f32)) s)
✓	0.3b	(.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))
✓	0.4b	(.f32 (.f32 (*.f32 6 (PI.f32)) s) (sqrt.f32 r))

series61.0ms (0.8%)

Counts

2 → 32

Calls

2 calls:

37.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) (sqrt.f32 r))
24.0ms	(.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

2 → 55

Calls

2 calls:

19.0ms	(.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))
12.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) (sqrt.f32 r))

simplify162.0ms (2%)

Algorithm

1×	egg-herbie

Rules

563×	`*-commutative_binary32`
455×	`sqr-pow_binary32`
339×	`associate-l_binary32`
332×	`associate-/l/_binary32`
316×	`unswap-sqr_binary32`

Counts

87 → 73

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	91	1317
1	227	1149
2	998	1149
3	1593	1149
4	2146	1149
5	3471	1149
6	4779	1149
7	4987	1149

prune618.0ms (7.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	135	6	141

Error

0.1b

Counts

141 → 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)))) (.f32 (exp.f32 (log.f32 (.f32 6 (.f32 (.f32 s (PI.f32)) (sqrt.f32 r))))) (sqrt.f32 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 (.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 (expm1.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 -1/3 (/.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)))) (exp.f32 (+.f32 (log.f32 (.f32 (.f32 6 (PI.f32)) s)) (log.f32 r)))))
	0.1b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (sqrt.f32 (.f32 s (.f32 2 (PI.f32)))) (sqrt.f32 r)) (.f32 (sqrt.f32 (.f32 s (.f32 2 (PI.f32)))) (sqrt.f32 r)))) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))
✓	0.1b	(+.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 6 (PI.f32)) s) (sqrt.f32 r)) (sqrt.f32 r))))

Compiler

Compiled 6276 to 3418 computations (45.5% saved)

localize198.0ms (2.4%)

Local error

Found 4 expressions with local error:

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

series854.0ms (10.5%)

Counts

3 → 60

Calls

3 calls:

727.0ms	(.f32 (.f32 (.f32 6 (PI.f32)) s) (.f32 (cbrt.f32 r) (cbrt.f32 r)))
76.0ms	(*.f32 (cbrt.f32 r) (cbrt.f32 r))
51.0ms	(.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r))

rewrite58.0ms (0.7%)

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:

19.0ms	(.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (*.f32 (cbrt.f32 r) (cbrt.f32 r))) (cbrt.f32 r))
16.0ms	(.f32 (.f32 (.f32 6 (PI.f32)) s) (.f32 (cbrt.f32 r) (cbrt.f32 r)))
9.0ms	(*.f32 (cbrt.f32 r) (cbrt.f32 r))

simplify293.0ms (3.6%)

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

prune478.0ms (5.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	166	4	170
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	168	8	176

Error

0.0b

Counts

176 → 8

Alt Table

Status	Error	Program
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (expm1.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) s))) r)) (/.f32 (.f32 3/4 (exp.f32 (.f32 -1/3 (/.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 (exp.f32 (log.f32 (.f32 6 (.f32 (.f32 s (PI.f32)) (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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (+.f32 (log.f32 (.f32 (.f32 6 (PI.f32)) s)) (log.f32 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 (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (.f32 (cbrt.f32 r) (cbrt.f32 r)))) (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) (.f32 (cbrt.f32 r) (cbrt.f32 r))))) (cbrt.f32 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 (.f32 (.f32 6 (PI.f32)) s) (.f32 (.f32 (cbrt.f32 (sqrt.f32 r)) (cbrt.f32 (sqrt.f32 r))) (*.f32 (cbrt.f32 (sqrt.f32 r)) (cbrt.f32 (sqrt.f32 r))))) (cbrt.f32 r))))
	19.2b	(+.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 (log.f32 (pow.f32 (exp.f32 (cbrt.f32 (.f32 r r))) (.f32 6 (.f32 s (PI.f32))))) (cbrt.f32 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 (.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 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 6 (.f32 (.f32 s (PI.f32)) (pow.f32 (pow.f32 r 2) 1/3))) (cbrt.f32 r))))

Compiler

Compiled 8045 to 4134 computations (48.6% saved)

regimes519.0ms (6.4%)

Accuracy

Total 0.1b remaining (40.1%)

Threshold costs 0.1b (40.1%)

Counts

136 → 1

Compiler

Compiled 16309 to 11581 computations (29% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

12×	`*-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	70
1	46	70
2	52	70
3	57	70
4	59	70
5	59	70

end3.0ms (0%)

Compiler: Compiled 45 to 30 computations (33.3% saved)

sample2.0s (24.6%)

Algorithm

1×

intervals

Results

1.1s	8000×	body	128	valid
214.0ms	8000×	pre	128	true

Compiler

Compiled 444 to 307 computations (30.9% saved)

Details

analyze281.0ms (3.5%)

sample113.0ms (1.4%)

simplify94.0ms (1.2%)

prune9.0ms (0.1%)

localize222.0ms (2.7%)

series62.0ms (0.8%)

rewrite53.0ms (0.7%)

simplify167.0ms (2%)

prune642.0ms (7.9%)

localize195.0ms (2.4%)

series18.0ms (0.2%)

rewrite7.0ms (0.1%)

simplify132.0ms (1.6%)

prune664.0ms (8.2%)

localize186.0ms (2.3%)

series61.0ms (0.8%)

rewrite40.0ms (0.5%)

simplify162.0ms (2%)

prune618.0ms (7.6%)

localize198.0ms (2.4%)

series854.0ms (10.5%)

rewrite58.0ms (0.7%)

simplify293.0ms (3.6%)

prune478.0ms (5.9%)

regimes519.0ms (6.4%)

simplify4.0ms (0%)

end3.0ms (0%)

sample2.0s (24.6%)

Profiling