Details

analyze458.0ms (5.6%)

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)

sample2.4s (29.1%)

Results

2.3s	8256×	body	128	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 94 to 76 computations (19.1% saved)

simplify14.0ms (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

prune58.0ms (0.7%)

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)))
	14.0b	(.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)

localize35.0ms (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)

series206.0ms (2.5%)

Counts

4 → 52

Calls

4 calls:

188.0ms	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
11.0ms	(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)

rewrite18.0ms (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)
4.0ms	(sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))
1.0ms	(cos.f32 (.f32 (.f32 2 (PI.f32)) u2))

simplify121.0ms (1.5%)

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

prune230.0ms (2.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	156	12	168
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	158	12	170

Error

0.1b

Counts

170 → 12

Alt Table

Status	Error	Program
	0.9b	(.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))))
	6.6b	(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
	2.1b	(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (PI.f32) 2) (fma.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) -2)))))
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.7b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (log.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))))
	6.6b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.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))))
▶	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.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)))))
	1.2b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (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)))))
	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)))))

Compiler

Compiled 5041 to 3090 computations (38.7% saved)

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 (*.f32 2 (PI.f32)) u2)))))
✓	0.2b	(log1p.f32 (.f32 (.f32 2 (PI.f32)) u2))
✓	0.3b	(expm1.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))
	0.3b	(.f32 (.f32 2 (PI.f32)) u2)

series175.0ms (2.1%)

Counts

3 → 44

Calls

3 calls:

164.0ms

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))))

6.0ms

(log1p.f32 (*.f32 (*.f32 2 (PI.f32)) u2))

5.0ms

(expm1.f32 (log1p.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`associate-l_binary32`
12×	`add-sqr-sqrt_binary32`
11×	`sqrt-prod_binary32`
8×	`*-un-lft-identity_binary32`
8×	`add-cube-cbrt_binary32`

Counts

3 → 55

Calls

3 calls:

7.0ms

(*.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))))

0.0ms

(expm1.f32 (log1p.f32 (*.f32 (*.f32 2 (PI.f32)) u2)))

0.0ms

(log1p.f32 (*.f32 (*.f32 2 (PI.f32)) u2))

simplify99.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

741×	`fma-def_binary32`
500×	`times-frac_binary32`
437×	`fma-neg_binary32`
401×	`cancel-sign-sub-inv_binary32`
286×	`associate-/r*_binary32`

Counts

99 → 139

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	250	2959
1	644	2759
2	2045	2648
3	4634	2628
4	5339	2628

prune203.0ms (2.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	164	3	167
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	168	11	179

Error

0.1b

Counts

179 → 11

Alt Table

Status	Error	Program
	0.9b	(.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))))
	6.6b	(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
	2.1b	(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (PI.f32) 2) (fma.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) -2)))))
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(+.f32 (.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cos.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sin.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
	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 (expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	1.7b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (log.f32 (cos.f32 (expm1.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))))))
	6.6b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.2b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (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)))))

Compiler

Compiled 4925 to 2987 computations (39.4% saved)

localize49.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(log1p.f32 (.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
✓	0.3b	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
✓	0.3b	(*.f32 u2 (PI.f32))
✓	0.6b	(.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))))

series240.0ms (2.9%)

Counts

4 → 36

Calls

4 calls:

212.0ms	(log1p.f32 (.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
15.0ms	(.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
12.0ms	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))
2.0ms	(*.f32 u2 (PI.f32))

rewrite21.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

133×	`pow1_binary32`
72×	`pow-prod-down_binary32`
60×	`sqrt-pow1_binary32`
17×	`pow-prod-up_binary32`
14×	`add-sqr-sqrt_binary32`

Counts

4 → 110

Calls

4 calls:

9.0ms	(.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))))
3.0ms	(*.f32 u2 (PI.f32))
0.0ms	(log1p.f32 (.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32))))))
0.0ms	(expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (*.f32 u2 (PI.f32)))))))

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

673×	`unswap-sqr_binary32`
553×	`fma-neg_binary32`
421×	`associate-/r*_binary32`
369×	`*-commutative_binary32`
197×	`fma-def_binary32`

Counts

146 → 134

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1625
1	308	1411
2	1140	1323
3	3108	1302
4	5164	1302

prune280.0ms (3.4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	164	11	175

Error

0.1b

Counts

175 → 11

Alt Table

Status	Error	Program
	0.9b	(.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))))
	6.6b	(log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 2 (.f32 u2 (PI.f32))))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
	2.1b	(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (PI.f32) 2) (fma.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) -2)))))
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
▶	0.7b	(+.f32 (.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cos.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sin.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
	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 (expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	1.7b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (log.f32 (cos.f32 (expm1.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))))))
	6.6b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	1.2b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (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)))))

Compiler

Compiled 4908 to 2791 computations (43.1% saved)

localize75.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cos.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
✓	0.5b	(cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2))))
✓	0.5b	(sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2))))
✓	0.5b	(.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (*.f32 2 (PI.f32)) u2)))) (cos.f32 1))

series143.0ms (1.7%)

Counts

4 → 56

Calls

4 calls:

75.0ms	(.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cos.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
27.0ms	(.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (*.f32 2 (PI.f32)) u2)))) (cos.f32 1))
21.0ms	(cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2))))
20.0ms	(sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2))))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`associate-r_binary32`
12×	`add-sqr-sqrt_binary32`
11×	`add-cbrt-cube_binary32`
11×	`add-exp-log_binary32`
11×	`pow1_binary32`

Counts

4 → 70

Calls

4 calls:

6.0ms	(.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cos.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))
3.0ms	(.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (*.f32 2 (PI.f32)) u2)))) (cos.f32 1))
1.0ms	(sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2))))
1.0ms	(cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2))))

simplify152.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

651×	`fma-def_binary32`
477×	`times-frac_binary32`
432×	`associate-l_binary32`
302×	`associate-/r*_binary32`
294×	`associate-/l*_binary32`

Counts

126 → 222

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	7318
1	1411	6168
2	4898	6156
3	5294	6156

prune376.0ms (4.6%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	3	6	9
Picked	1	0	1
Done	0	1	1
Total	223	10	233

Error

0.0b

Counts

233 → 10

Alt Table

Status	Error	Program
	2.1b	(+.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (.f32 (pow.f32 (PI.f32) 2) (fma.f32 (.f32 2/3 (pow.f32 u2 4)) (pow.f32 (PI.f32) 2) (.f32 (*.f32 u2 u2) -2)))))
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (cos.f32 (.f32 (*.f32 2 (PI.f32)) u2)))
	0.7b	(+.f32 (.f32 (.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cos.f32 1)) (.f32 (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))) (cbrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))))) (.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sin.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
	0.8b	(+.f32 (.f32 (log.f32 (exp.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (cos.f32 1)))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (sin.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
✓	0.3b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1)))) (cos.f32 (expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))) (sqrt.f32 (.f32 2 (.f32 u2 (PI.f32)))))))))
	0.9b	(.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))))
	0.7b	(+.f32 (.f32 (/.f32 (+.f32 (cos.f32 (+.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2))) 1)) (cos.f32 (-.f32 (exp.f32 (log1p.f32 (.f32 (.f32 2 (PI.f32)) u2))) 1))) 2) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (.f32 (.f32 (sin.f32 (exp.f32 (log1p.f32 (.f32 (*.f32 2 (PI.f32)) u2)))) (sin.f32 1)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))))
	1.2b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (cos.f32 (.f32 (.f32 2 (PI.f32)) u2)))) (.f32 (sqrt.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u1))))) (sqrt.f32 (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)))))
	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)))))

Compiler

Compiled 13778 to 9296 computations (32.5% saved)

regimes2.5s (30.8%)

Accuracy

Total 0.3b remaining (73.6%)

Threshold costs 0.3b (73.6%)

Counts

193 → 1

Compiler

Compiled 53695 to 43226 computations (19.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-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	18	31
1	27	31
2	31	31
3	33	31
4	33	31

end209.0ms (2.5%)

Compiler: Compiled 375 to 281 computations (25.1% 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

analyze458.0ms (5.6%)

sample2.4s (29.1%)

simplify14.0ms (0.2%)

prune58.0ms (0.7%)

localize35.0ms (0.4%)

series206.0ms (2.5%)

rewrite18.0ms (0.2%)

simplify121.0ms (1.5%)

prune230.0ms (2.8%)

localize41.0ms (0.5%)

series175.0ms (2.1%)

rewrite10.0ms (0.1%)

simplify99.0ms (1.2%)

prune203.0ms (2.5%)

localize49.0ms (0.6%)

series240.0ms (2.9%)

rewrite21.0ms (0.3%)

simplify76.0ms (0.9%)

prune280.0ms (3.4%)

localize75.0ms (0.9%)

series143.0ms (1.7%)

rewrite15.0ms (0.2%)

simplify152.0ms (1.8%)

prune376.0ms (4.6%)

regimes2.5s (30.8%)

simplify2.0ms (0%)

end209.0ms (2.5%)

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