Details

analyze724.0ms (3.4%)

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)

sample3.9s (18.7%)

Results

3.8s

8256×

body

128

valid

Compiler

Compiled 136 to 97 computations (28.7% saved)

simplify52.0ms (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

prune9.0ms (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

0.6b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	13.3b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

Status

Error

Program

▶

0.6b

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

13.3b

(/.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)

localize88.0ms (0.4%)

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))
✓	0.3b	(/.f32 cos2phi (*.f32 alphax alphax))
✓	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

series531.0ms (2.5%)

Counts

4 → 156

Calls

4 calls:

241.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
168.0ms	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
67.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
54.0ms	(/.f32 sin2phi (*.f32 alphay alphay))

rewrite69.0ms (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:

23.0ms	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
21.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
6.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
6.0ms	(/.f32 sin2phi (*.f32 alphay alphay))

simplify418.0ms (2%)

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

prune380.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	229	8	237
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	231	8	239

Error

Counts

239 → 8

Alt Table

Status	Error	Program
	1.0b	(.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (cbrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (cbrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	11.6b	(.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))))
	1.0b	(.f32 (/.f32 (sqrt.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)))))) (/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))
	0.9b	(/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0))))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (sqrt.f32 cos2phi) (/.f32 alphax (/.f32 (sqrt.f32 cos2phi) alphax))) (/.f32 sin2phi (*.f32 alphay alphay))))
▶	0.5b	(.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 7601 to 1863 computations (75.5% saved)

localize79.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.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))
✓	0.3b	(.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)))

series517.0ms (2.4%)

Counts

4 → 168

Calls

4 calls:

229.0ms	(.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)))
226.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (*.f32 alphay alphay) cos2phi)))
45.0ms	(.f32 (.f32 alphax alphax) (*.f32 alphay alphay))
15.0ms	(.f32 (.f32 alphay alphay) cos2phi)

rewrite108.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

64×	`add-cbrt-cube_binary32`
64×	`add-exp-log_binary32`
60×	`times-frac_binary32`
55×	`pow1_binary32`
49×	`add-sqr-sqrt_binary32`

Counts

4 → 183

Calls

4 calls:

28.0ms	(.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 (.f32 alphax alphax) (*.f32 alphay alphay))
7.0ms	(.f32 (.f32 alphay alphay) cos2phi)
5.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (.f32 alphax alphax) (.f32 (*.f32 alphay alphay) cos2phi)))

simplify423.0ms (2%)

Algorithm

1×	egg-herbie

Rules

770×	`fma-def_binary32`
539×	`associate-l_binary32`
358×	`times-frac_binary32`
324×	`associate-/l*_binary32`
299×	`*-commutative_binary32`

Counts

351 → 348

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	415	14309
1	1169	13055
2	4399	13034
3	5151	13034

prune441.0ms (2.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	348	0	348
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	348	8	356

Error

Counts

356 → 8

Alt Table

Status	Error	Program
	1.0b	(.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (cbrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (cbrt.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	11.6b	(.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))))
	1.0b	(.f32 (/.f32 (sqrt.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)))))) (/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
▶	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))
	0.9b	(/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0))))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (sqrt.f32 cos2phi) (/.f32 alphax (/.f32 (sqrt.f32 cos2phi) alphax))) (/.f32 sin2phi (*.f32 alphay alphay))))
✓	0.5b	(.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 14503 to 3126 computations (78.4% saved)

localize63.0ms (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 (/.f32 sin2phi alphay) alphay)
	0.3b	(/.f32 cos2phi (*.f32 alphax alphax))
✓	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))

series346.0ms (1.6%)

Counts

3 → 132

Calls

3 calls:

186.0ms

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

127.0ms

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

33.0ms

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

rewrite71.0ms (0.3%)

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:

30.0ms

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

20.0ms

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

5.0ms

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

simplify287.0ms (1.4%)

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

prune417.0ms (2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	311	3	314
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	315	7	322

Error

Counts

322 → 7

Alt Table

Status	Error	Program
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 (sqrt.f32 sin2phi) 1) (/.f32 alphay (/.f32 (sqrt.f32 sin2phi) alphay)))))
	11.6b	(.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))))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (*.f32 (cbrt.f32 cos2phi) (cbrt.f32 cos2phi)) (/.f32 alphax (/.f32 (cbrt.f32 cos2phi) alphax))) (/.f32 (/.f32 sin2phi alphay) alphay)))
▶	0.4b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay)))) (.f32 (*.f32 alphax alphax) alphay))
	0.9b	(/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0))))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (sqrt.f32 cos2phi) (/.f32 alphax (/.f32 (sqrt.f32 cos2phi) alphax))) (/.f32 sin2phi (*.f32 alphay alphay))))
✓	0.5b	(.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 9363 to 2233 computations (76.2% saved)

localize88.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 alphax alphax) alphay)
✓	0.3b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay)))) (.f32 (*.f32 alphax alphax) alphay))
✓	0.3b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))))
✓	0.9b	(.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))

series494.0ms (2.3%)

Counts

4 → 180

Calls

4 calls:

257.0ms	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay)))) (.f32 (*.f32 alphax alphax) alphay))
174.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))))
44.0ms	(.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))
17.0ms	(.f32 (.f32 alphax alphax) alphay)

rewrite80.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

70×	`times-frac_binary32`
59×	`add-sqr-sqrt_binary32`
55×	`*-un-lft-identity_binary32`
55×	`add-cube-cbrt_binary32`
44×	`add-cbrt-cube_binary32`

Counts

4 → 179

Calls

4 calls:

23.0ms	(.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))
14.0ms	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay)))) (.f32 (*.f32 alphax alphax) alphay))
6.0ms	(.f32 (.f32 alphax alphax) alphay)
5.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))))

simplify244.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

638×	`associate-r_binary32`
500×	`associate-l_binary32`
345×	`times-frac_binary32`
337×	`associate-/l*_binary32`
226×	`associate-/r*_binary32`

Counts

359 → 354

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	439	13724
1	1278	12708
2	5116	12708

prune409.0ms (1.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	354	0	354
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	354	7	361

Error

Counts

361 → 7

Alt Table

Status	Error	Program
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 (sqrt.f32 sin2phi) 1) (/.f32 alphay (/.f32 (sqrt.f32 sin2phi) alphay)))))
	11.6b	(.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))))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (*.f32 (cbrt.f32 cos2phi) (cbrt.f32 cos2phi)) (/.f32 alphax (/.f32 (cbrt.f32 cos2phi) alphax))) (/.f32 (/.f32 sin2phi alphay) alphay)))
✓	0.4b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay)))) (.f32 (*.f32 alphax alphax) alphay))
	0.9b	(/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0))))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 (sqrt.f32 cos2phi) (/.f32 alphax (/.f32 (sqrt.f32 cos2phi) alphax))) (/.f32 sin2phi (*.f32 alphay alphay))))
✓	0.5b	(.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 13450 to 2891 computations (78.5% saved)

regimes10.7s (50.8%)

Accuracy

Total 0.5b remaining (92.3%)

Threshold costs 0.5b (92.3%)

Counts

376 → 1

Compiler

Compiled 176797 to 99559 computations (43.7% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

13×	`*-commutative_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`
8×	`+-commutative_binary32`
8×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	32
1	27	32
2	37	32
3	49	32
4	61	32
5	70	32
6	76	32
7	78	32
8	78	32

end111.0ms (0.5%)

Compiler: Compiled 251 to 151 computations (39.8% 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

analyze724.0ms (3.4%)

sample3.9s (18.7%)

simplify52.0ms (0.2%)

prune9.0ms (0%)

localize88.0ms (0.4%)

series531.0ms (2.5%)

rewrite69.0ms (0.3%)

simplify418.0ms (2%)

prune380.0ms (1.8%)

localize79.0ms (0.4%)

series517.0ms (2.4%)

rewrite108.0ms (0.5%)

simplify423.0ms (2%)

prune441.0ms (2.1%)

localize63.0ms (0.3%)

series346.0ms (1.6%)

rewrite71.0ms (0.3%)

simplify287.0ms (1.4%)

prune417.0ms (2%)

localize88.0ms (0.4%)

series494.0ms (2.3%)

rewrite80.0ms (0.4%)

simplify244.0ms (1.2%)

prune409.0ms (1.9%)

regimes10.7s (50.8%)

simplify8.0ms (0%)

end111.0ms (0.5%)

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