Details

analyze99.0ms (1.1%)

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)

sample2.0s (22.5%)

Results

1.9s

8256×

body

128

valid

Compiler

Compiled 135 to 97 computations (28.1% saved)

simplify61.0ms (0.7%)

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
▶	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)))
	1.7b	(.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)))

1.7b

(*.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)

localize78.0ms (0.9%)

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)
✓	0.3b	(/.f32 (neg.f32 r) (*.f32 3 s))
✓	0.3b	(.f32 (.f32 2 (PI.f32)) s)

series27.0ms (0.3%)

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)
6.0ms	(/.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:

7.0ms	(.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)

simplify86.0ms (1%)

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

prune323.0ms (3.6%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	145	8	153
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	146	9	155

Error

0.1b

Counts

155 → 9

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 (/.f32 (neg.f32 r) 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)))
	0.2b	(+.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)))))
	1.7b	(.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 2 (.f32 s (.f32 (PI.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 6 (.f32 s (*.f32 (PI.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 (.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 (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)))) (exp.f32 (log.f32 (.f32 6 (.f32 s (*.f32 (PI.f32) r)))))))

Compiler

Compiled 6494 to 3785 computations (41.7% saved)

localize95.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(cbrt.f32 (.f32 (.f32 (*.f32 6 (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)))

series1.7s (18.9%)

Counts

3 → 72

Calls

3 calls:

1.1s

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

565.0ms

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

54.0ms

(*.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)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`pow1_binary32`
16×	`pow1/3_binary32`
11×	`add-sqr-sqrt_binary32`
11×	`pow-prod-up_binary32`
10×	`add-exp-log_binary32`

Counts

3 → 79

Calls

3 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)))

4.0ms

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

simplify149.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

522×	`fma-def_binary32`
410×	`exp-prod_binary32`
376×	`unswap-sqr_binary32`
348×	`fma-neg_binary32`
247×	`log-prod_binary32`

Counts

151 → 127

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	154	3270
1	340	2962
2	806	2592
3	1955	2338
4	4416	2244
5	4962	2244
6	4967	2244

prune895.0ms (10.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	202	7	209
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	208	10	218

Error

0.1b

Counts

218 → 10

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 (/.f32 (neg.f32 r) 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)))
	16.3b	(+.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)))) (pow.f32 (.f32 216 (pow.f32 (.f32 s (*.f32 (PI.f32) r)) 3)) 1/3)))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 2 (.f32 s (.f32 (PI.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)))) (pow.f32 (cbrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)) 3)))
	11.5b	(+.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)))) (.f32 (.f32 (pow.f32 (cbrt.f32 6) 2) (exp.f32 (.f32 1/3 (+.f32 (log.f32 (.f32 (pow.f32 s 2) (pow.f32 (PI.f32) 2))) (.f32 2 (log.f32 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 (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)))))))
	10.9b	(+.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 (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)))))
▶	0.1b	(+.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 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (pow.f32 (cbrt.f32 (.f32 6 (.f32 s (*.f32 (PI.f32) r)))) 2))))
	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 (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)))))

Compiler

Compiled 12514 to 7832 computations (37.4% saved)

localize143.0ms (1.6%)

Local error

Found 4 expressions with local error:

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

series632.0ms (7.1%)

Counts

3 → 24

Calls

3 calls:

572.0ms	(pow.f32 (cbrt.f32 (.f32 6 (.f32 s (*.f32 (PI.f32) r)))) 2)
52.0ms	(*.f32 (PI.f32) r)
8.0ms	(.f32 6 (.f32 s (*.f32 (PI.f32) r)))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-exp-log_binary32`
15×	`pow1_binary32`
14×	`add-cbrt-cube_binary32`
10×	`add-sqr-sqrt_binary32`
8×	`*-un-lft-identity_binary32`

Counts

3 → 65

Calls

3 calls:

6.0ms	(.f32 6 (.f32 s (*.f32 (PI.f32) r)))
3.0ms	(*.f32 (PI.f32) r)
2.0ms	(pow.f32 (cbrt.f32 (.f32 6 (.f32 s (*.f32 (PI.f32) r)))) 2)

simplify98.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

811×	`fma-def_binary32`
483×	`unswap-sqr_binary32`
358×	`*-commutative_binary32`
311×	`fma-neg_binary32`
248×	`exp-prod_binary32`

Counts

89 → 80

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	149	1640
1	317	1416
2	883	1342
3	1855	1279
4	4087	1277
5	4865	1277
6	4981	1277

prune391.0ms (4.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	105	3	108
Fresh	4	5	9
Picked	0	1	1
Done	0	0	0
Total	109	9	118

Error

0.1b

Counts

118 → 9

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 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (pow.f32 (pow.f32 (cbrt.f32 (.f32 6 (.f32 s (*.f32 (PI.f32) r)))) (sqrt.f32 2)) (sqrt.f32 2)))))
	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 (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)))) (exp.f32 (log.f32 (.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)))))))
	10.9b	(+.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 (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 (.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 (.f32 (PI.f32) (pow.f32 r 2/3)) (cbrt.f32 r))))) 2))))
	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 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (pow.f32 (pow.f32 (cbrt.f32 (.f32 6 (.f32 s (.f32 (PI.f32) r)))) (.f32 (cbrt.f32 2) (cbrt.f32 2))) (cbrt.f32 2)))))
	0.2b	(+.f32 (/.f32 (.f32 1/4 (exp.f32 (/.f32 (neg.f32 r) s))) (.f32 2 (.f32 s (.f32 (PI.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)))) (pow.f32 (cbrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)) 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 (cbrt.f32 (.f32 (.f32 (.f32 6 (PI.f32)) s) r)) (pow.f32 (cbrt.f32 (.f32 6 (.f32 s (*.f32 (PI.f32) r)))) 2))))

Compiler

Compiled 6313 to 3862 computations (38.8% saved)

localize91.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f32 (neg.f32 r) (*.f32 3 s))
	0.3b	(cbrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r))
	0.3b	(.f32 (.f32 2 (PI.f32)) s)
✓	0.7b	(pow.f32 (cbrt.f32 (.f32 (.f32 (*.f32 6 (PI.f32)) s) r)) 3)

series682.0ms (7.7%)

Counts

1 → 24

Calls

1 calls:

682.0ms

(pow.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)) 3)

rewrite4.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

4×	`cube-prod_binary32`
4×	`*-un-lft-identity_binary32`
4×	`add-sqr-sqrt_binary32`
4×	`unpow-prod-down_binary32`
4×	`add-cube-cbrt_binary32`

Counts

1 → 28

Calls

1 calls:

3.0ms

(pow.f32 (cbrt.f32 (*.f32 (*.f32 (*.f32 6 (PI.f32)) s) r)) 3)

simplify85.0ms (1%)

Algorithm

1×	egg-herbie

Rules

372×	`log-prod_binary32`
361×	`fma-neg_binary32`
346×	`fma-def_binary32`
283×	`unswap-sqr_binary32`
249×	`exp-prod_binary32`

Counts

52 → 47

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	98	1470
1	234	1053
2	634	951
3	1931	701
4	4438	701
5	4932	701
6	4974	701

prune507.0ms (5.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	160	3	163
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	162	10	172

Error

0.0b

Counts

172 → 10

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

Compiler

Compiled 7113 to 4386 computations (38.3% saved)

regimes418.0ms (4.7%)

Accuracy

Total 0.1b remaining (47.8%)

Threshold costs 0.1b (47.8%)

Counts

102 → 1

Compiler

Compiled 13501 to 9853 computations (27% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

16×	`*-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	35	73
1	58	73
2	64	73
3	69	73
4	71	73
5	70	73

end278.0ms (3.1%)

Compiler: Compiled 561 to 419 computations (25.3% saved)

Details

analyze99.0ms (1.1%)

sample2.0s (22.5%)

simplify61.0ms (0.7%)

prune5.0ms (0.1%)

localize78.0ms (0.9%)

series27.0ms (0.3%)

rewrite25.0ms (0.3%)

simplify86.0ms (1%)

prune323.0ms (3.6%)

localize95.0ms (1.1%)

series1.7s (18.9%)

rewrite23.0ms (0.3%)

simplify149.0ms (1.7%)

prune895.0ms (10.1%)

localize143.0ms (1.6%)

series632.0ms (7.1%)

rewrite14.0ms (0.2%)

simplify98.0ms (1.1%)

prune391.0ms (4.4%)

localize91.0ms (1%)

series682.0ms (7.7%)

rewrite4.0ms (0%)

simplify85.0ms (1%)

prune507.0ms (5.7%)

regimes418.0ms (4.7%)

simplify5.0ms (0.1%)

end278.0ms (3.1%)

Profiling