Details

analyze796.0ms (10.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	2.1%	97.9%	0
0%	2.1%	97.9%	1
0%	2.1%	97.9%	2
0%	2.1%	97.9%	3
0.8%	1.3%	97.9%	4
0.9%	1.2%	97.9%	5
1.3%	0.7%	97.9%	6
1.4%	0.7%	97.9%	7
1.6%	0.5%	97.9%	8
1.6%	0.5%	97.9%	9
1.7%	0.4%	97.9%	10
1.7%	0.4%	97.9%	11
1.7%	0.3%	97.9%	12
1.7%	0.3%	97.9%	13
1.8%	0.3%	97.9%	14

Compiler

Compiled 50 to 36 computations (28% saved)

sample2.3s (30.4%)

Results

2.2s

8256×

body

128

valid

Compiler

Compiled 85 to 61 computations (28.2% saved)

simplify62.0ms (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

0.2b

Counts

3 → 2

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 6 (PI.f32)) s) r)))
	1.4b	(.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

▶

0.2b

(+.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)))

1.4b

(*.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)

localize82.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
✓	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)

series29.0ms (0.4%)

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))
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:

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)

simplify103.0ms (1.4%)

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

prune250.0ms (3.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	147	6	153
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	148	7	155

Error

0.2b

Counts

155 → 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)))) (expm1.f32 (log1p.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 (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (sqrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))))
	25.3b	(+.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))) (.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)))))
	1.4b	(.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)))
	0.3b	(+.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 -1/3 (/.f32 r 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)))) (exp.f32 (+.f32 (log.f32 (.f32 (.f32 6 (PI.f32)) s)) (log.f32 r)))))

Compiler

Compiled 6342 to 3683 computations (41.9% saved)

localize94.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
	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)

prune340.0ms (4.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	153	0	153
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	153	7	160

Error

0.2b

Counts

160 → 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)))) (expm1.f32 (log1p.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 (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (sqrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))))
	25.3b	(+.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))) (.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)))))
	1.4b	(.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)))
	0.3b	(+.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 -1/3 (/.f32 r 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)))) (exp.f32 (+.f32 (log.f32 (.f32 (.f32 6 (PI.f32)) s)) (log.f32 r)))))

Compiler

Compiled 6611 to 3962 computations (40.1% saved)

localize93.0ms (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)
✓	0.5b	(.f32 (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (sqrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))

series36.0ms (0.5%)

Counts

1 → 16

Calls

1 calls:

36.0ms

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

rewrite31.0ms (0.4%)

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:

13.0ms

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

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

521×	`associate-/l*_binary32`
490×	`sqr-pow_binary32`
422×	`fma-def_binary32`
324×	`unswap-sqr_binary32`
312×	`associate-/l/_binary32`

Counts

107 → 60

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	56	1281
1	109	1062
2	390	960
3	807	943
4	1721	913
5	2807	913
6	4890	913
7	4963	913

prune479.0ms (6.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	211	2	213
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	212	8	220

Error

0.2b

Counts

220 → 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)))) (expm1.f32 (log1p.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 (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (sqrt.f32 (exp.f32 (log.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 -1/3 (/.f32 r s)))) (.f32 (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (sqrt.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 (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (sqrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))))
	25.3b	(+.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))) (.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)))))
	1.4b	(.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)))
	0.3b	(+.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 (+.f32 (log.f32 (.f32 (.f32 6 (PI.f32)) s)) (log.f32 r)))))

Compiler

Compiled 10638 to 6434 computations (39.5% saved)

localize99.0ms (1.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 (neg.f32 r) (*.f32 3 s))
✓	0.3b	(.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)))
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
✓	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 (16.5%)

Counts

2 → 48

Calls

2 calls:

1.2s

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

60.0ms

(*.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)))

rewrite19.0ms (0.3%)

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:

9.0ms

(*.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)))

simplify146.0ms (1.9%)

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

prune548.0ms (7.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	186	3	189
Fresh	2	3	5
Picked	0	1	1
Done	1	1	2
Total	189	8	197

Error

0.1b

Counts

197 → 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 (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)))))
	0.3b	(+.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 (pow.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r) 2/3) (cbrt.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 (cbrt.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r))) (cbrt.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r))) (cbrt.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r))))) (.f32 (cbrt.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r))) (cbrt.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r))))) (cbrt.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 -1/3 (/.f32 r s)))) (.f32 (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (sqrt.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 (sqrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (sqrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))))
	1.4b	(.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)))
	0.3b	(+.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 (+.f32 (log.f32 (.f32 (.f32 6 (PI.f32)) s)) (log.f32 r)))))
	12.9b	(+.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 (pow.f32 (cbrt.f32 6) 2) (cbrt.f32 (exp.f32 (.f32 2 (log.f32 (.f32 s (.f32 (PI.f32) r))))))) (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))))

Compiler

Compiled 10800 to 6696 computations (38% saved)

regimes427.0ms (5.7%)

Accuracy

Total 0.1b remaining (43%)

Threshold costs 0.1b (43%)

Counts

107 → 1

Compiler

Compiled 13858 to 10108 computations (27.1% saved)

simplify4.0ms (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	57
1	46	57
2	52	57
3	57	57
4	59	57
5	59	57

end234.0ms (3.1%)

Compiler: Compiled 471 to 340 computations (27.8% saved)

Details

analyze796.0ms (10.6%)

sample2.3s (30.4%)

simplify62.0ms (0.8%)

prune5.0ms (0.1%)

localize82.0ms (1.1%)

series29.0ms (0.4%)

rewrite25.0ms (0.3%)

simplify103.0ms (1.4%)

prune250.0ms (3.3%)

localize94.0ms (1.3%)

prune340.0ms (4.5%)

localize93.0ms (1.2%)

series36.0ms (0.5%)

rewrite31.0ms (0.4%)

simplify88.0ms (1.2%)

prune479.0ms (6.4%)

localize99.0ms (1.3%)

series1.2s (16.5%)

rewrite19.0ms (0.3%)

simplify146.0ms (1.9%)

prune548.0ms (7.3%)

regimes427.0ms (5.7%)

simplify4.0ms (0.1%)

end234.0ms (3.1%)

Profiling