Details

analyze103.0ms (0.9%)

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)

sample2.1s (18.5%)

Results

2.0s

8256×

body

128

valid

Compiler

Compiled 135 to 97 computations (28.1% saved)

simplify57.0ms (0.5%)

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%)

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
	1.2b	(.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)))
▶	0.1b	(+.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)))

Status

Error

Program

1.2b

(*.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)))

▶

0.1b

(+.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)))

Compiler

Compiled 169 to 117 computations (30.8% saved)

localize87.0ms (0.8%)

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

series26.0ms (0.2%)

Counts

4 → 84

Calls

4 calls:

9.0ms	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
8.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) s) r)
6.0ms	(/.f32 (neg.f32 r) (*.f32 3 s))
3.0ms	(.f32 (.f32 2 (PI.f32)) s)

rewrite25.0ms (0.2%)

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:

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

simplify89.0ms (0.8%)

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

prune250.0ms (2.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	150	4	154
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	151	5	156

Error

0.0b

Counts

156 → 5

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)))) (exp.f32 (log.f32 (.f32 (.f32 s (*.f32 (PI.f32) r)) 6)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (exp.f32 (+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.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 (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)))
	1.2b	(.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)))
▶	0.1b	(+.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 (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)))))

Compiler

Compiled 6243 to 3604 computations (42.3% saved)

localize100.0ms (0.9%)

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 (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 (10.5%)

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)))

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)))

rewrite18.0ms (0.2%)

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:

8.0ms

(*.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)))

simplify135.0ms (1.2%)

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

prune410.0ms (3.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	156	4	160
Fresh	2	2	4
Picked	0	1	1
Done	0	0	0
Total	158	7	165

Error

0.0b

Counts

165 → 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)))) (.f32 (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r))))) 5) (cbrt.f32 (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))) (exp.f32 (+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.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 (.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) (exp.f32 (.f32 1/3 (+.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) (pow.f32 r 2))) (.f32 2 (log.f32 s)))))) (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))))
	1.2b	(.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)))
	17.7b	(+.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)))) (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 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r))))) 8) (cbrt.f32 (cbrt.f32 (.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 (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)))))

Compiler

Compiled 9439 to 5889 computations (37.6% saved)

localize98.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (.f32 (*.f32 6 (PI.f32)) s) r)
✓	0.3b	(+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.f32 r))
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
✓	2.7b	(exp.f32 (+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.f32 r)))

series1.4s (12.3%)

Counts

2 → 48

Calls

2 calls:

699.0ms	(exp.f32 (+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.f32 r)))
691.0ms	(+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.f32 r))

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`pow1_binary32`
23×	`log-pow_binary32`
17×	`*-un-lft-identity_binary32`
16×	`distribute-lft-out_binary32`
15×	`pow-prod-down_binary32`

Counts

2 → 54

Calls

2 calls:

8.0ms	(+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.f32 r))
7.0ms	(exp.f32 (+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.f32 r)))

simplify104.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

443×	`distribute-rgt-in_binary32`
408×	`distribute-lft-in_binary32`
384×	`fma-neg_binary32`
328×	`exp-sum_binary32`
303×	`associate-+l+_binary32`

Counts

102 → 75

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	91	1338
1	200	1270
2	689	1243
3	3894	1243
4	4864	1243
5	4960	1243
6	4853	1243

prune301.0ms (2.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	136	7	143

Error

0.0b

Counts

143 → 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)))) (.f32 (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r))))) 5) (cbrt.f32 (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))) (exp.f32 (+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.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 (.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) (exp.f32 (.f32 1/3 (+.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) (pow.f32 r 2))) (.f32 2 (log.f32 s)))))) (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))))
	1.2b	(.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)))
	17.7b	(+.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)))) (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 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r))))) 8) (cbrt.f32 (cbrt.f32 (.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 (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)))))

Compiler

Compiled 6225 to 3737 computations (40% saved)

localize129.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
✓	0.4b	(.f32 6 (.f32 s (*.f32 (PI.f32) r)))
✓	0.4b	(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r))))) 5) (cbrt.f32 (cbrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r))))
✓	1.0b	(pow.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (*.f32 (PI.f32) r))))) 5)

series2.7s (24.2%)

Counts

3 → 48

Calls

3 calls:

1.7s

(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 6 (*.f32 s (*.f32 (PI.f32) r))))) 5)

1.1s

(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 6 (*.f32 s (*.f32 (PI.f32) r))))) 5) (cbrt.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r))))

9.0ms

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

rewrite22.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary32`
21×	`cbrt-prod_binary32`
18×	`add-exp-log_binary32`
18×	`unpow-prod-down_binary32`
14×	`associate-l_binary32`

Counts

3 → 87

Calls

3 calls:

8.0ms

(*.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 6 (*.f32 s (*.f32 (PI.f32) r))))) 5) (cbrt.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r))))

5.0ms

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

3.0ms

(pow.f32 (cbrt.f32 (cbrt.f32 (*.f32 6 (*.f32 s (*.f32 (PI.f32) r))))) 5)

simplify163.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

696×	`fma-def_binary32`
523×	`*-commutative_binary32`
286×	`fma-neg_binary32`
261×	`sqr-pow_binary32`
248×	`exp-sum_binary32`

Counts

135 → 137

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	237	4464
1	523	4145
2	1344	3570
3	2877	3460
4	4728	3460
5	4992	3460
6	4983	3460

prune485.0ms (4.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	161	4	165
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	164	8	172

Error

0.0b

Counts

172 → 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)))) (.f32 (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r))))) 6) (pow.f32 (sqrt.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r)))))) 6)))) 5) (cbrt.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))) (cbrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))))
	1.2b	(.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 (pow.f32 (.f32 (cbrt.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r)))))) (cbrt.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r))))))) 5) (pow.f32 (cbrt.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r)))))) 5)) (cbrt.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))) (cbrt.f32 (.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 (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))) (exp.f32 (+.f32 (log.f32 (.f32 (.f32 2 (PI.f32)) s)) (log.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 (.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) (exp.f32 (.f32 1/3 (+.f32 (log.f32 (.f32 (pow.f32 (PI.f32) 2) (pow.f32 r 2))) (.f32 2 (log.f32 s)))))) (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 (.f32 1 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r))))) 6)) (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))))
	21.4b	(+.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)))) (.f32 (log.f32 (exp.f32 (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r))))) 5) (cbrt.f32 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)))))) (cbrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)))))

Compiler

Compiled 11098 to 6916 computations (37.7% saved)

regimes1.0s (9.1%)

Accuracy

Total 0.0b remaining (36.8%)

Threshold costs 0.0b (36.8%)

Counts

216 → 1

Compiler

Compiled 30100 to 21724 computations (27.8% saved)

simplify3.0ms (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	26	53
1	44	53
2	50	53
3	55	53
4	57	53
5	57	53

end244.0ms (2.2%)

Compiler: Compiled 510 to 369 computations (27.6% saved)

Details

analyze103.0ms (0.9%)

sample2.1s (18.5%)

simplify57.0ms (0.5%)

prune5.0ms (0%)

localize87.0ms (0.8%)

series26.0ms (0.2%)

rewrite25.0ms (0.2%)

simplify89.0ms (0.8%)

prune250.0ms (2.2%)

localize100.0ms (0.9%)

series1.2s (10.5%)

rewrite18.0ms (0.2%)

simplify135.0ms (1.2%)

prune410.0ms (3.6%)

localize98.0ms (0.9%)

series1.4s (12.3%)

rewrite18.0ms (0.2%)

simplify104.0ms (0.9%)

prune301.0ms (2.7%)

localize129.0ms (1.1%)

series2.7s (24.2%)

rewrite22.0ms (0.2%)

simplify163.0ms (1.4%)

prune485.0ms (4.3%)

regimes1.0s (9.1%)

simplify3.0ms (0%)

end244.0ms (2.2%)

Profiling