Details

analyze1.6s (10.5%)

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 57 to 41 computations (28.1% saved)

sample144.0ms (0.9%)

Algorithm

1×

intervals

Results

27.0ms	256×	body	128	valid
13.0ms	256×	pre	128	true

Compiler

Compiled 84 to 61 computations (27.4% saved)

simplify24.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

195×	`fma-neg_binary32`
112×	`fma-def_binary32`
65×	`cancel-sign-sub-inv_binary32`
40×	`sub-neg_binary32`
40×	`div-sub_binary32`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	30	25
2	42	25
3	55	25
4	67	25
5	84	25
6	105	25
7	134	25
8	160	25
9	185	25
10	228	25
11	252	25
12	358	25
13	406	25
14	444	25
15	456	25
16	461	25
17	420	25

prune6.0ms (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

0.4b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.4b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	13.1b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

Status

Error

Program

▶

0.4b

(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))

13.1b

(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))

Compiler

Compiled 124 to 77 computations (37.9% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
✓	0.2b	(/.f32 sin2phi (*.f32 alphay alphay))
✓	0.2b	(/.f32 cos2phi (*.f32 alphax alphax))
✓	0.3b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

series279.0ms (1.8%)

Counts

4 → 156

Calls

4 calls:

135.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
89.0ms	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
28.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
26.0ms	(/.f32 sin2phi (*.f32 alphay alphay))

rewrite40.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`*-un-lft-identity_binary32`
49×	`times-frac_binary32`
36×	`add-sqr-sqrt_binary32`
36×	`add-cube-cbrt_binary32`
16×	`associate-/l*_binary32`

Counts

4 → 141

Calls

4 calls:

15.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
7.0ms	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
3.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
3.0ms	(/.f32 cos2phi (*.f32 alphax alphax))

simplify200.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

415×	`associate-/l/_binary32`
350×	`fma-def_binary32`
208×	`times-frac_binary32`
185×	`associate-/l*_binary32`
185×	`unswap-sqr_binary32`

Counts

297 → 237

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	313	8536
1	790	8175
2	2612	8167
3	4993	8167
4	4982	8167

prune220.0ms (1.4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	228	9	237
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	230	9	239

Error

0.0b

Counts

239 → 9

Alt Table

Status	Error	Program
	0.4b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 sin2phi (*.f32 alphay alphay))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (sqrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	1.0b	(expm1.f32 (log1p.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
	0.8b	(/.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (.f32 (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))
	10.5b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (-.f32 (/.f32 (.f32 cos2phi cos2phi) (pow.f32 alphax 4)) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
▶	0.4b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))
	2.5b	(exp.f32 (log.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	0.4b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (.f32 alphay alphay) cos2phi))) (.f32 (.f32 alphax alphax) (*.f32 alphay alphay)))

Compiler

Compiled 7571 to 1883 computations (75.1% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay))
	0.2b	(/.f32 cos2phi (*.f32 alphax alphax))
✓	0.3b	(/.f32 (/.f32 sin2phi alphay) alphay)
✓	0.3b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))

series248.0ms (1.6%)

Counts

3 → 132

Calls

3 calls:

132.0ms

(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))

87.0ms

(+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay))

28.0ms

(/.f32 (/.f32 sin2phi alphay) alphay)

rewrite54.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`times-frac_binary32`
97×	`*-un-lft-identity_binary32`
73×	`add-sqr-sqrt_binary32`
73×	`add-cube-cbrt_binary32`
23×	`associate-/l*_binary32`

Counts

3 → 167

Calls

3 calls:

18.0ms

(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))

16.0ms

(+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay))

4.0ms

(/.f32 (/.f32 sin2phi alphay) alphay)

simplify204.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

526×	`associate-/r/_binary32`
322×	`fma-def_binary32`
208×	`fma-neg_binary32`
186×	`associate-/l/_binary32`
184×	`associate-/l*_binary32`

Counts

299 → 286

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	9186
1	918	8793
2	2730	8712
3	4940	8712
4	5011	8712

prune285.0ms (1.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	310	4	314
Fresh	4	4	8
Picked	1	0	1
Done	0	0	0
Total	315	8	323

Error

Counts

323 → 8

Alt Table

Status	Error	Program
▶	0.4b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay)))
	0.6b	(.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
	1.3b	(/.f32 -1 (/.f32 (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)) (log1p.f32 (neg.f32 u0))))
	9.1b	(neg.f32 (*.f32 (/.f32 alphay (/.f32 sin2phi alphay)) (log1p.f32 (neg.f32 u0))))
	10.5b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (-.f32 (/.f32 (.f32 cos2phi cos2phi) (pow.f32 alphax 4)) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (sqrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	0.4b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (.f32 alphay alphay) cos2phi))) (.f32 (.f32 alphax alphax) (*.f32 alphay alphay)))
	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (sqrt.f32 (/.f32 sin2phi alphay)) (/.f32 alphay (sqrt.f32 (/.f32 sin2phi alphay))))))

Compiler

Compiled 9429 to 2260 computations (76% saved)

localize37.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay))
✓	0.2b	(/.f32 (/.f32 cos2phi alphax) alphax)
	0.3b	(/.f32 (/.f32 sin2phi alphay) alphay)
✓	0.3b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay)))

series231.0ms (1.5%)

Counts

3 → 132

Calls

3 calls:

119.0ms

(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay)))

85.0ms

(+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay))

26.0ms

(/.f32 (/.f32 cos2phi alphax) alphax)

rewrite135.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

273×	`times-frac_binary32`
256×	`*-un-lft-identity_binary32`
112×	`add-sqr-sqrt_binary32`
112×	`add-cube-cbrt_binary32`
43×	`fma-def_binary32`

Counts

3 → 227

Calls

3 calls:

53.0ms

(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay)))

52.0ms

(+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay))

4.0ms

(/.f32 (/.f32 cos2phi alphax) alphax)

simplify214.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

750×	`fma-def_binary32`
510×	`associate-/r/_binary32`
199×	`fma-neg_binary32`
187×	`associate-/l/_binary32`
182×	`associate-/l*_binary32`

Counts

359 → 346

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	371	9903
1	914	9507
2	2716	9427
3	4847	9427
4	5352	9427

prune405.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	444	4	448
Fresh	4	3	7
Picked	0	1	1
Done	0	0	0
Total	448	8	456

Error

Counts

456 → 8

Alt Table

Status	Error	Program
	0.5b	(*.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 1 (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay))))
▶	0.4b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (.f32 alphay alphay) cos2phi))) (.f32 (.f32 alphax alphax) (*.f32 alphay alphay)))
✓	0.4b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay)))
	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (.f32 (sqrt.f32 (/.f32 sin2phi (.f32 alphay alphay))) (sqrt.f32 (/.f32 sin2phi (*.f32 alphay alphay))))))
	10.5b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (-.f32 (/.f32 (.f32 cos2phi cos2phi) (pow.f32 alphax 4)) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (sqrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	1.3b	(/.f32 -1 (/.f32 (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay)) (log1p.f32 (neg.f32 u0))))
	0.5b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (.f32 (/.f32 cos2phi alphax) alphay) (.f32 alphax (/.f32 sin2phi alphay)))) (.f32 alphax alphay))

Compiler

Compiled 12945 to 2981 computations (77% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f32 sin2phi (.f32 alphax alphax) (.f32 (*.f32 alphay alphay) cos2phi))
✓	0.3b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (*.f32 alphay alphay) cos2phi)))
✓	0.3b	(.f32 (.f32 alphax alphax) (*.f32 alphay alphay))
✓	0.4b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (.f32 alphay alphay) cos2phi))) (.f32 (.f32 alphax alphax) (*.f32 alphay alphay)))

series265.0ms (1.7%)

Counts

4 → 192

Calls

4 calls:

127.0ms	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (.f32 alphay alphay) cos2phi))) (.f32 (.f32 alphax alphax) (*.f32 alphay alphay)))
103.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (*.f32 alphay alphay) cos2phi)))
25.0ms	(fma.f32 sin2phi (.f32 alphax alphax) (.f32 (*.f32 alphay alphay) cos2phi))
10.0ms	(.f32 (.f32 alphax alphax) (*.f32 alphay alphay))

rewrite45.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`times-frac_binary32`
59×	`add-cbrt-cube_binary32`
59×	`add-exp-log_binary32`
50×	`pow1_binary32`
47×	`*-un-lft-identity_binary32`

Counts

4 → 172

Calls

4 calls:

12.0ms	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (.f32 alphay alphay) cos2phi))) (.f32 (.f32 alphax alphax) (*.f32 alphay alphay)))
7.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (*.f32 alphay alphay) cos2phi)))
6.0ms	(.f32 (.f32 alphax alphax) (*.f32 alphay alphay))
0.0ms	(fma.f32 sin2phi (.f32 alphax alphax) (.f32 (*.f32 alphay alphay) cos2phi))

simplify225.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

637×	`associate-r_binary32`
476×	`associate-l_binary32`
401×	`fma-def_binary32`
322×	`times-frac_binary32`
303×	`associate-/l*_binary32`

Counts

364 → 349

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	395	14713
1	1121	13457
2	4832	13438
3	5181	13438

prune265.0ms (1.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	349	0	349
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	349	8	357

Error

Counts

357 → 8

Alt Table

Status	Error	Program
	0.5b	(*.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 1 (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay))))
✓	0.4b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (.f32 alphay alphay) cos2phi))) (.f32 (.f32 alphax alphax) (*.f32 alphay alphay)))
✓	0.4b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay)))
	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (.f32 (sqrt.f32 (/.f32 sin2phi (.f32 alphay alphay))) (sqrt.f32 (/.f32 sin2phi (*.f32 alphay alphay))))))
	10.5b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (-.f32 (/.f32 (.f32 cos2phi cos2phi) (pow.f32 alphax 4)) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (sqrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	1.3b	(/.f32 -1 (/.f32 (+.f32 (/.f32 (/.f32 cos2phi alphax) alphax) (/.f32 (/.f32 sin2phi alphay) alphay)) (log1p.f32 (neg.f32 u0))))
	0.5b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (.f32 (/.f32 cos2phi alphax) alphay) (.f32 alphax (/.f32 sin2phi alphay)))) (.f32 alphax alphay))

Compiler

Compiled 14212 to 2968 computations (79.1% saved)

regimes8.1s (53.5%)

Accuracy

Total 0.5b remaining (94.1%)

Threshold costs 0.5b (94.1%)

Counts

520 → 1

Compiler

Compiled 236616 to 141422 computations (40.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative_binary32`
3×	`*-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	15	25
1	24	25
2	30	25
3	34	25
4	35	25
5	35	25

end0.0ms (0%)

Compiler: Compiled 21 to 14 computations (33.3% saved)

sample1.8s (12%)

Algorithm

1×

intervals

Results

720.0ms	8000×	body	128	valid
371.0ms	8000×	pre	128	true

Compiler

Compiled 308 to 192 computations (37.7% saved)

Iter	Nodes	Cost
0	16	26
1	30	25
2	42	25
3	55	25
4	67	25
5	84	25
6	105	25
7	134	25
8	160	25
9	185	25
10	228	25
11	252	25
12	358	25
13	406	25
14	444	25
15	456	25
16	461	25
17	420	25

Iter	Nodes	Cost
0	16	26
1	30	25
2	42	25
3	55	25
4	67	25
5	84	25
6	105	25
7	134	25
8	160	25
9	185	25
10	228	25
11	252	25
12	358	25
13	406	25
14	444	25
15	456	25
16	461	25
17	420	25

Details

analyze1.6s (10.5%)

sample144.0ms (0.9%)

simplify24.0ms (0.2%)

prune6.0ms (0%)

localize42.0ms (0.3%)

series279.0ms (1.8%)

rewrite40.0ms (0.3%)

simplify200.0ms (1.3%)

prune220.0ms (1.4%)

localize39.0ms (0.3%)

series248.0ms (1.6%)

rewrite54.0ms (0.4%)

simplify204.0ms (1.3%)

prune285.0ms (1.9%)

localize37.0ms (0.2%)

series231.0ms (1.5%)

rewrite135.0ms (0.9%)

simplify214.0ms (1.4%)

prune405.0ms (2.7%)

localize44.0ms (0.3%)

series265.0ms (1.7%)

rewrite45.0ms (0.3%)

simplify225.0ms (1.5%)

prune265.0ms (1.7%)

regimes8.1s (53.5%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.8s (12%)

Profiling

Iter	Nodes	Cost
0	16	26
1	30	25
2	42	25
3	55	25
4	67	25
5	84	25
6	105	25
7	134	25
8	160	25
9	185	25
10	228	25
11	252	25
12	358	25
13	406	25
14	444	25
15	456	25
16	461	25
17	420	25