Details

analyze150.0ms (2.5%)

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 44 to 32 computations (27.3% saved)

sample57.0ms (0.9%)

Algorithm

1×

intervals

Results

32.0ms	256×	body	128	valid
6.0ms	256×	pre	128	true

Compiler

Compiled 81 to 59 computations (27.2% saved)

simplify66.0ms (1.1%)

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

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	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 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 PI.f32) s) r)))
	0.6b	(.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

▶

0.3b

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

0.6b

(*.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)

localize79.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

rewrite23.0ms (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)
4.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
4.0ms	(.f32 (.f32 2 PI.f32) s)

series102.0ms (1.7%)

Counts

4 → 84

Calls

4 calls:

33.0ms	(.f32 (.f32 (*.f32 2 PI.f32) s) r)
33.0ms	(.f32 (.f32 (*.f32 6 PI.f32) s) r)
25.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
10.0ms	(.f32 (.f32 2 PI.f32) s)

simplify105.0ms (1.7%)

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 → 299

Iterations

Useful iterations: 2 (0.0ms)

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

prune253.0ms (4.1%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	292	7	299
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	294	7	301

Error

0.2b

Counts

301 → 7

Alt Table

Status	Error	Program
	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 (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 (sqrt.f32 (.f32 (.f32 (.f32 2 PI.f32) s) r)) (sqrt.f32 (.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))) (.f32 (.f32 (.f32 2 PI.f32) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (sqrt.f32 (.f32 (.f32 (.f32 6 PI.f32) s) r)) (sqrt.f32 (.f32 (.f32 (*.f32 6 PI.f32) s) r)))))
▶	0.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (.f32 2 PI.f32) (.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s)) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 PI.f32) s) r)))
	23.5b	(+.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)))) (log.f32 (exp.f32 (.f32 (.f32 (*.f32 6 PI.f32) s) 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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (log.f32 (.f32 (.f32 s (*.f32 PI.f32 r)) 6)))))
	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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (+.f32 (+.f32 (+.f32 (log.f32 6) (log.f32 PI.f32)) (log.f32 s)) (log.f32 r)))))

Compiler

Compiled 6378 to 3702 computations (42% saved)

localize95.0ms (1.6%)

Local error

Found 4 expressions with local error:

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

rewrite39.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

66×	`pow1_binary32`
61×	`add-exp-log_binary32`
42×	`pow-prod-down_binary32`
41×	`cbrt-unprod_binary32`
41×	`prod-exp_binary32`

Counts

4 → 130

Calls

4 calls:

11.0ms	(.f32 (.f32 (.f32 (.f32 2 PI.f32) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s)) r)
10.0ms	(.f32 (.f32 (.f32 2 PI.f32) (.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s))
6.0ms	(.f32 (.f32 2 PI.f32) (*.f32 (cbrt.f32 s) (cbrt.f32 s)))
4.0ms	(*.f32 (cbrt.f32 s) (cbrt.f32 s))

series581.0ms (9.5%)

Counts

4 → 60

Calls

4 calls:

245.0ms	(.f32 (.f32 2 PI.f32) (*.f32 (cbrt.f32 s) (cbrt.f32 s)))
228.0ms	(*.f32 (cbrt.f32 s) (cbrt.f32 s))
74.0ms	(.f32 (.f32 (.f32 (.f32 2 PI.f32) (*.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s)) r)
35.0ms	(.f32 (.f32 (.f32 2 PI.f32) (.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s))

simplify158.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary32`
445×	`sqr-pow_binary32`
435×	`associate-l_binary32`
427×	`unswap-sqr_binary32`
325×	`associate-r_binary32`

Counts

190 → 337

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	164	2554
1	350	2149
2	1438	2083
3	2090	2049
4	3620	1957
5	4683	1957
6	4926	1957

prune428.0ms (7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	337	0	337
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	337	7	344

Error

0.2b

Counts

344 → 7

Alt Table

Status	Error	Program
	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 (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 (sqrt.f32 (.f32 (.f32 (.f32 2 PI.f32) s) r)) (sqrt.f32 (.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))) (.f32 (.f32 (.f32 2 PI.f32) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (sqrt.f32 (.f32 (.f32 (.f32 6 PI.f32) s) r)) (sqrt.f32 (.f32 (.f32 (*.f32 6 PI.f32) s) r)))))
✓	0.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (.f32 2 PI.f32) (.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s)) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 PI.f32) s) r)))
	23.5b	(+.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)))) (log.f32 (exp.f32 (.f32 (.f32 (*.f32 6 PI.f32) s) 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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (log.f32 (.f32 (.f32 s (*.f32 PI.f32 r)) 6)))))
	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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (+.f32 (+.f32 (+.f32 (log.f32 6) (log.f32 PI.f32)) (log.f32 s)) (log.f32 r)))))

Compiler

Compiled 8124 to 4262 computations (47.5% saved)

localize90.0ms (1.5%)

Local error

Found 4 expressions with local error:

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

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

268×	`pow1_binary32`
174×	`pow-prod-down_binary32`
104×	`sqrt-pow1_binary32`
26×	`pow-prod-up_binary32`
18×	`pow-sqr_binary32`

Counts

1 → 91

Calls

1 calls:

12.0ms

(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (sqrt.f32 (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)))

series51.0ms (0.8%)

Counts

1 → 16

Calls

1 calls:

51.0ms

(*.f32 (sqrt.f32 (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)) (sqrt.f32 (*.f32 (*.f32 (*.f32 2 PI.f32) s) r)))

simplify118.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-def_binary32`
461×	`sqr-pow_binary32`
352×	`associate-/l/_binary32`
332×	`unswap-sqr_binary32`
307×	`*-commutative_binary32`

Counts

107 → 209

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	53	1281
1	100	1062
2	380	960
3	787	943
4	1650	913
5	2670	913
6	4364	913
7	5003	913

prune375.0ms (6.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	416	0	416
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	416	7	423

Error

0.2b

Counts

423 → 7

Alt Table

Status	Error	Program
▶	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 (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 (sqrt.f32 (.f32 (.f32 (.f32 2 PI.f32) s) r)) (sqrt.f32 (.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))) (.f32 (.f32 (.f32 2 PI.f32) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (sqrt.f32 (.f32 (.f32 (.f32 6 PI.f32) s) r)) (sqrt.f32 (.f32 (.f32 (*.f32 6 PI.f32) s) r)))))
✓	0.3b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 (.f32 (.f32 (.f32 2 PI.f32) (.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.f32 s)) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (*.f32 6 PI.f32) s) r)))
	23.5b	(+.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)))) (log.f32 (exp.f32 (.f32 (.f32 (*.f32 6 PI.f32) s) 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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (log.f32 (.f32 (.f32 s (*.f32 PI.f32 r)) 6)))))
	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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (+.f32 (+.f32 (+.f32 (log.f32 6) (log.f32 PI.f32)) (log.f32 s)) (log.f32 r)))))

Compiler

Compiled 7285 to 4398 computations (39.6% saved)

localize109.0ms (1.8%)

Local error

Found 4 expressions with local error:

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

rewrite19.0ms (0.3%)

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:

9.0ms	(.f32 (.f32 (.f32 (.f32 6 PI.f32) s) (sqrt.f32 r)) (sqrt.f32 r))
6.0ms	(.f32 (.f32 (*.f32 6 PI.f32) s) (sqrt.f32 r))

series66.0ms (1.1%)

Counts

2 → 32

Calls

2 calls:

33.0ms	(.f32 (.f32 (.f32 (.f32 6 PI.f32) s) (sqrt.f32 r)) (sqrt.f32 r))
33.0ms	(.f32 (.f32 (*.f32 6 PI.f32) s) (sqrt.f32 r))

simplify121.0ms (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 → 135

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

prune329.0ms (5.4%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	451	4	455
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	454	8	462

Error

0.2b

Counts

462 → 8

Alt Table

Status	Error	Program
✓	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 (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 (sqrt.f32 (.f32 (.f32 (.f32 2 PI.f32) s) r)) (sqrt.f32 (.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))) (.f32 (.f32 (.f32 2 PI.f32) s) r)) (/.f32 (.f32 3/4 (exp.f32 (/.f32 (neg.f32 r) (.f32 3 s)))) (*.f32 (exp.f32 (+.f32 (+.f32 (+.f32 (log.f32 6) (log.f32 PI.f32)) (log.f32 s)) (log.f32 (sqrt.f32 r)))) (sqrt.f32 r))))
	23.5b	(+.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)))) (log.f32 (exp.f32 (.f32 (.f32 (*.f32 6 PI.f32) s) 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 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 (*.f32 6 PI.f32) s) (sqrt.f32 r)) (sqrt.f32 (sqrt.f32 r))) (sqrt.f32 (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 (neg.f32 r) (.f32 3 s)))) (.f32 (.f32 (.f32 (.f32 (*.f32 6 PI.f32) s) (sqrt.f32 (sqrt.f32 r))) (sqrt.f32 (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 (neg.f32 r) (.f32 3 s)))) (exp.f32 (log.f32 (.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 (.f32 2 PI.f32) (.f32 (cbrt.f32 s) (cbrt.f32 s))) (cbrt.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 5969 to 3224 computations (46% saved)

regimes632.0ms (10.3%)

Accuracy

Total 0.0b remaining (32.4%)

Threshold costs 0.0b (32.4%)

Compiler

Compiled 18928 to 13603 computations (28.1% saved)

simplify5.0ms (0.1%)

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	58
1	46	58
2	52	58
3	57	58
4	59	58
5	59	58

end1.0ms (0%)

Compiler: Compiled 38 to 28 computations (26.3% saved)

sample2.0s (33.3%)

Algorithm

1×

intervals

Results

1.2s	8000×	body	128	valid
180.0ms	8000×	pre	128	true

Compiler

Compiled 420 to 295 computations (29.8% saved)

Details

analyze150.0ms (2.5%)

sample57.0ms (0.9%)

simplify66.0ms (1.1%)

prune5.0ms (0.1%)

localize79.0ms (1.3%)

rewrite23.0ms (0.4%)

series102.0ms (1.7%)

simplify105.0ms (1.7%)

prune253.0ms (4.1%)

localize95.0ms (1.6%)

rewrite39.0ms (0.6%)

series581.0ms (9.5%)

simplify158.0ms (2.6%)

prune428.0ms (7%)

localize90.0ms (1.5%)

rewrite21.0ms (0.3%)

series51.0ms (0.8%)

simplify118.0ms (1.9%)

prune375.0ms (6.1%)

localize109.0ms (1.8%)

rewrite19.0ms (0.3%)

series66.0ms (1.1%)

simplify121.0ms (2%)

prune329.0ms (5.4%)

regimes632.0ms (10.3%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample2.0s (33.3%)

Profiling