Details

analyze434.0ms (4.8%)

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)

sample101.0ms (1.1%)

Algorithm

1×

intervals

Results

32.0ms	256×	body	128	valid
9.0ms	256×	pre	128	true
0.0ms	1×	pre	128	false

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

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

0.3b

Counts

3 → 2

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)))
	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

Compiler

Compiled 90 to 77 computations (14.4% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(.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)

series213.0ms (2.4%)

Counts

4 → 52

Calls

4 calls:

193.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
13.0ms	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
3.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))
3.0ms	(.f32 (.f32 2 (PI.f32)) u2)

rewrite19.0ms (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:

6.0ms	(.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	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
2.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))

simplify163.0ms (1.8%)

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

prune206.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	157	11	168
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	158	12	170

Error

0.1b

Counts

170 → 12

Alt Table

Status	Error	Program
	0.8b	(.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)))) (log1p.f32 (expm1.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.6b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	3.1b	(exp.f32 (log.f32 (.f32 (cos.f32 (.f32 2 (*.f32 u2 (PI.f32)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2)) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	1.1b	(.f32 (exp.f32 (log.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 (.f32 (fabs.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.8b	(.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))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	13.9b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.5b	(.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))))

Compiler

Compiled 5037 to 3070 computations (39.1% saved)

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))
✓	0.4b	(+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))
✓	1.4b	(exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2)))

series1.1s (12.1%)

Counts

3 → 36

Calls

3 calls:

569.0ms

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2)))))

258.0ms

(+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))

257.0ms

(exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2)))

rewrite25.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`pow1_binary32`
21×	`*-un-lft-identity_binary32`
16×	`log-pow_binary32`
15×	`add-sqr-sqrt_binary32`
13×	`associate-l_binary32`

Counts

3 → 80

Calls

3 calls:

7.0ms

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2)))))

7.0ms

(exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2)))

5.0ms

(+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))

simplify112.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

562×	`fma-def_binary32`
392×	`associate-l_binary32`
307×	`associate-r_binary32`
233×	`fma-neg_binary32`
210×	`distribute-rgt-in_binary32`

Counts

116 → 131

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	205	2737
1	500	2451
2	1494	2373
3	4628	2369
4	4958	2369

prune223.0ms (2.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	167	4	171
Fresh	6	5	11
Picked	0	1	1
Done	0	0	0
Total	173	10	183

Error

0.0b

Counts

183 → 10

Alt Table

Status	Error	Program
	1.1b	(.f32 (exp.f32 (log.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)))))
	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 (exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	2.3b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2))))))
	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))))))
	0.8b	(.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)))))
▶	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2)) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.7b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2)))))
	0.5b	(.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))))

Compiler

Compiled 5496 to 3477 computations (36.7% saved)

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2)) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)
✓	0.3b	(.f32 (.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2)) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2)))
✓	0.6b	(.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2)) (cbrt.f32 (.f32 (*.f32 2 (PI.f32)) u2)))

series584.0ms (6.5%)

Counts

3 → 44

Calls

3 calls:

350.0ms

(*.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

205.0ms

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))))

28.0ms

(*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite32.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`pow1_binary32`
20×	`add-sqr-sqrt_binary32`
18×	`associate-l_binary32`
15×	`pow1/3_binary32`
13×	`*-un-lft-identity_binary32`

Counts

3 → 99

Calls

3 calls:

10.0ms

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))))

9.0ms

(*.f32 (*.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

6.0ms

(*.f32 (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)) (cbrt.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

simplify155.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary32`
306×	`cancel-sign-sub-inv_binary32`
276×	`fma-neg_binary32`
210×	`associate-l_binary32`
189×	`associate-r_binary32`

Counts

143 → 173

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	3635
1	614	3262
2	1891	2979
3	4603	2932
4	4985	2932
5	4938	2932

prune440.0ms (4.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	255	2	257
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	257	10	267

Error

0.0b

Counts

267 → 10

Alt Table

Status	Error	Program
	1.1b	(.f32 (exp.f32 (log.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)))))
	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 (exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	2.3b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2))))))
▶	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))))))
	2.6b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
✓	0.4b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2)) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))) (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))))
	0.5b	(.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))))

Compiler

Compiled 8853 to 5460 computations (38.3% saved)

localize78.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (cbrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2))))
	0.3b	(.f32 (.f32 2 (PI.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)))

series334.0ms (3.7%)

Counts

1 → 12

Calls

1 calls:

334.0ms

(*.f32 (cbrt.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))

rewrite11.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary32`
16×	`cbrt-prod_binary32`
9×	`*-un-lft-identity_binary32`
9×	`add-cube-cbrt_binary32`
8×	`pow1_binary32`

Counts

1 → 42

Calls

1 calls:

6.0ms

(*.f32 (cbrt.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))) (cbrt.f32 (cos.f32 (*.f32 (*.f32 2 (PI.f32)) u2))))

simplify115.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

833×	`distribute-rgt-neg-in_binary32`
637×	`fma-def_binary32`
479×	`cancel-sign-sub-inv_binary32`
413×	`*-commutative_binary32`
366×	`log-prod_binary32`

Counts

54 → 65

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	75	1251
1	158	1219
2	425	1019
3	1383	983
4	3425	824
5	4506	824
6	4826	824
7	4892	824

prune341.0ms (3.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	2	5	7
Picked	0	1	1
Done	0	2	2
Total	183	10	193

Error

0.0b

Counts

193 → 10

Alt Table

Status	Error	Program
	2.3b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2)))))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (.f32 2 (PI.f32))) (log.f32 u2))))))
	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 (.f32 2 (PI.f32)) (sqrt.f32 u2)) (sqrt.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)))) (cos.f32 (.f32 (.f32 (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2)) (cbrt.f32 (.f32 (.f32 2 (PI.f32)) u2))) (cbrt.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
	0.8b	(.f32 (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32)))) 2))))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 (*.f32 2 (PI.f32))) (log.f32 u2))))))
	1.1b	(.f32 (exp.f32 (log.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)))))
	0.9b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (log.f32 (exp.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 (.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))))))
	2.6b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (cos.f32 (.f32 2 (.f32 (PI.f32) u2))))) (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (cos.f32 (.f32 2 (*.f32 (PI.f32) u2))))))
	0.5b	(.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))))

Compiler

Compiled 7120 to 4623 computations (35.1% saved)

regimes2.0s (22.8%)

Accuracy

Total 0.3b remaining (77.1%)

Threshold costs 0.3b (77.1%)

Counts

174 → 1

Compiler

Compiled 42597 to 35211 computations (17.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary32`
3×	`+-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	24	47
1	36	47
2	40	47
3	42	47
4	42	47

end1.0ms (0%)

Compiler: Compiled 30 to 26 computations (13.3% saved)

sample2.1s (23.2%)

Algorithm

1×

intervals

Results

976.0ms	8000×	body	128	valid
280.0ms	8000×	pre	128	true
0.0ms	4×	pre	128	false

Compiler

Compiled 348 to 280 computations (19.5% 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

analyze434.0ms (4.8%)

sample101.0ms (1.1%)

simplify16.0ms (0.2%)

prune5.0ms (0.1%)

localize38.0ms (0.4%)

series213.0ms (2.4%)

rewrite19.0ms (0.2%)

simplify163.0ms (1.8%)

prune206.0ms (2.3%)

localize47.0ms (0.5%)

series1.1s (12.1%)

rewrite25.0ms (0.3%)

simplify112.0ms (1.2%)

prune223.0ms (2.5%)

localize52.0ms (0.6%)

series584.0ms (6.5%)

rewrite32.0ms (0.4%)

simplify155.0ms (1.7%)

prune440.0ms (4.9%)

localize78.0ms (0.9%)

series334.0ms (3.7%)

rewrite11.0ms (0.1%)

simplify115.0ms (1.3%)

prune341.0ms (3.8%)

regimes2.0s (22.8%)

simplify3.0ms (0%)

end1.0ms (0%)

sample2.1s (23.2%)

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