Details

analyze387.0ms (4.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 39 to 31 computations (20.5% saved)

sample102.0ms (1.2%)

Algorithm

1×

intervals

Results

30.0ms	256×	body	128	valid
13.0ms	256×	pre	128	true

Compiler

Compiled 58 to 48 computations (17.2% saved)

simplify16.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

40×	`fma-neg_binary32`
22×	`sub-neg_binary32`
17×	`cancel-sign-sub-inv_binary32`
15×	`fma-def_binary32`
11×	`*-commutative_binary32`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	22
1	26	21
2	38	21
3	46	21
4	56	21
5	67	21
6	82	21
7	106	21
8	119	21
9	125	21
10	144	21
11	140	21
12	167	21
13	180	21
14	184	21
15	185	21
16	163	21

prune4.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Error

0.3b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 58 to 49 computations (15.5% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.1b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
✓	0.3b	(.f32 (.f32 2 (PI.f32)) u2)

series195.0ms (2.3%)

Counts

4 → 52

Calls

4 calls:

177.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
10.0ms	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
4.0ms	(.f32 (.f32 2 (PI.f32)) u2)
3.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))

rewrite17.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`sqrt-prod_binary32`
18×	`add-sqr-sqrt_binary32`
14×	`associate-l_binary32`
13×	`*-un-lft-identity_binary32`
13×	`add-cube-cbrt_binary32`

Counts

4 → 82

Calls

4 calls:

7.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
4.0ms	(.f32 (.f32 2 (PI.f32)) u2)
2.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
1.0ms	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))

simplify117.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

532×	`cancel-sign-sub-inv_binary32`
449×	`fma-neg_binary32`
324×	`times-frac_binary32`
243×	`associate-/r*_binary32`
229×	`associate-/l*_binary32`

Counts

134 → 168

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	281	3614
1	751	3315
2	2419	3199
3	4597	3191
4	5025	3191

prune208.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	158	10	168
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	159	10	169

Error

0.1b

Counts

169 → 10

Alt Table

Status	Error	Program
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
▶	0.3b	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))
	0.6b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))) (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (sqrt.f32 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.8b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	3.0b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	2.3b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))

Compiler

Compiled 4969 to 3022 computations (39.2% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2)
	0.1b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.1b	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)

series185.0ms (2.2%)

Counts

2 → 32

Calls

2 calls:

171.0ms	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
14.0ms	(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2)

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`unpow-prod-down_binary32`
16×	`add-sqr-sqrt_binary32`
14×	`associate-l_binary32`
11×	`*-un-lft-identity_binary32`
11×	`add-cube-cbrt_binary32`

Counts

2 → 61

Calls

2 calls:

7.0ms	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
2.0ms	(pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2)

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

499×	`fma-neg_binary32`
443×	`cancel-sign-sub-inv_binary32`
421×	`times-frac_binary32`
194×	`neg-mul-1_binary32`
186×	`fma-def_binary32`

Counts

93 → 143

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	278	3222
1	762	2974
2	2370	2793
3	4431	2787
4	4947	2787

prune259.0ms (3.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	191	5	196
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	196	10	206

Error

0.1b

Counts

206 → 10

Alt Table

Status	Error	Program
	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
	0.6b	(.f32 (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1/2) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/4)))
▶	0.3b	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))
	2.7b	(.f32 (fma.f32 1/4 (pow.f32 u1 3/2) (fma.f32 13/96 (pow.f32 u1 5/2) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	1.6b	(.f32 (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) (sqrt.f32 1/2)) (sqrt.f32 1/2)) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.8b	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (log.f32 (exp.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
	3.0b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	2.3b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))

Compiler

Compiled 5629 to 3629 computations (35.5% saved)

localize50.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))))
✓	0.1b	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))
✓	0.4b	(+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))
✓	1.4b	(exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2)))

series1.2s (14.7%)

Counts

4 → 44

Calls

4 calls:

509.0ms	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))
248.0ms	(cos.f32 (exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))))
245.0ms	(exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2)))
230.0ms	(+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`pow1_binary32`
22×	`*-un-lft-identity_binary32`
17×	`add-sqr-sqrt_binary32`
16×	`log-pow_binary32`
14×	`associate-l_binary32`

Counts

4 → 92

Calls

4 calls:

8.0ms	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))
5.0ms	(exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2)))
5.0ms	(cos.f32 (exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))))
5.0ms	(+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))

simplify131.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

492×	`fma-def_binary32`
319×	`associate-/r*_binary32`
250×	`times-frac_binary32`
209×	`distribute-rgt-in_binary32`
176×	`cancel-sign-sub-inv_binary32`

Counts

136 → 156

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	3110
1	546	2742
2	1686	2599
3	4626	2597
4	4964	2597
5	4921	2597

prune209.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	152	4	156
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	156	10	166

Error

0.1b

Counts

166 → 10

Alt Table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))) (cbrt.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2))))))) (cbrt.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))))
	0.6b	(.f32 (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1/2) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/4)))
	0.4b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	2.7b	(.f32 (fma.f32 1/4 (pow.f32 u1 3/2) (fma.f32 13/96 (pow.f32 u1 5/2) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	3.0b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	2.3b	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (.f32 (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))))
	0.8b	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (log.f32 (exp.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))))

Compiler

Compiled 4813 to 3173 computations (34.1% saved)

localize42.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (.f32 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2)))
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
✓	0.3b	(.f32 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
✓	0.4b	(.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2))

series151.0ms (1.8%)

Counts

4 → 32

Calls

4 calls:

114.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
18.0ms	(cos.f32 (.f32 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2)))
13.0ms	(.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2))
6.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary32`
20×	`add-exp-log_binary32`
20×	`pow1_binary32`
17×	`sqrt-prod_binary32`
17×	`add-sqr-sqrt_binary32`

Counts

4 → 89

Calls

4 calls:

6.0ms	(.f32 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))
6.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
4.0ms	(.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2))
3.0ms	(cos.f32 (.f32 (.f32 (*.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2)))

simplify148.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-def_binary32`
351×	`cancel-sign-sub-inv_binary32`
316×	`associate-l_binary32`
285×	`fma-neg_binary32`
239×	`associate-r_binary32`

Counts

121 → 159

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	250	2957
1	640	2718
2	2102	2606
3	4634	2602
4	4957	2598
5	4999	2598
6	4947	2598

prune213.0ms (2.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	158	11	169

Error

0.1b

Counts

169 → 11

Alt Table

Status	Error	Program
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))) (cbrt.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2))))))) (cbrt.f32 (.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))))
	0.6b	(.f32 (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) 1/2) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/4)))
	0.4b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cbrt.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.4b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (cbrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (cbrt.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))))) (cbrt.f32 (cos.f32 (.f32 (.f32 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.f32 u2)))))
	2.7b	(.f32 (fma.f32 1/4 (pow.f32 u1 3/2) (fma.f32 13/96 (pow.f32 u1 5/2) (sqrt.f32 u1))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	3.0b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	2.3b	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (.f32 (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))))
	0.8b	(.f32 (pow.f32 (neg.f32 (log1p.f32 (neg.f32 u1))) 1/2) (log.f32 (exp.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))))

Compiler

Compiled 4535 to 2413 computations (46.8% saved)

regimes2.3s (27.5%)

Accuracy

Total 0.2b remaining (76.7%)

Threshold costs 0.2b (76.7%)

Counts

179 → 1

Compiler

Compiled 43381 to 34727 computations (19.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	25	26
2	29	26
3	31	26
4	31	26

end1.0ms (0%)

Compiler: Compiled 18 to 16 computations (11.1% saved)

sample2.2s (25.7%)

Algorithm

1×

intervals

Results

1.1s	8000×	body	128	valid
271.0ms	8000×	pre	128	true
0.0ms	4×	pre	128	false

Compiler

Compiled 377 to 294 computations (22% saved)

Iter	Nodes	Cost
0	14	22
1	26	21
2	38	21
3	46	21
4	56	21
5	67	21
6	82	21
7	106	21
8	119	21
9	125	21
10	144	21
11	140	21
12	167	21
13	180	21
14	184	21
15	185	21
16	163	21

Iter	Nodes	Cost
0	14	22
1	26	21
2	38	21
3	46	21
4	56	21
5	67	21
6	82	21
7	106	21
8	119	21
9	125	21
10	144	21
11	140	21
12	167	21
13	180	21
14	184	21
15	185	21
16	163	21

Details

analyze387.0ms (4.6%)

sample102.0ms (1.2%)

simplify16.0ms (0.2%)

prune4.0ms (0%)

localize34.0ms (0.4%)

series195.0ms (2.3%)

rewrite17.0ms (0.2%)

simplify117.0ms (1.4%)

prune208.0ms (2.5%)

localize38.0ms (0.5%)

series185.0ms (2.2%)

rewrite12.0ms (0.1%)

simplify110.0ms (1.3%)

prune259.0ms (3.1%)

localize50.0ms (0.6%)

series1.2s (14.7%)

rewrite28.0ms (0.3%)

simplify131.0ms (1.6%)

prune209.0ms (2.5%)

localize42.0ms (0.5%)

series151.0ms (1.8%)

rewrite25.0ms (0.3%)

simplify148.0ms (1.8%)

prune213.0ms (2.5%)

regimes2.3s (27.5%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.2s (25.7%)

Profiling

Iter	Nodes	Cost
0	14	22
1	26	21
2	38	21
3	46	21
4	56	21
5	67	21
6	82	21
7	106	21
8	119	21
9	125	21
10	144	21
11	140	21
12	167	21
13	180	21
14	184	21
15	185	21
16	163	21