Details

analyze1.8s (12.8%)

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 57 to 41 computations (28.1% saved)

sample2.4s (17.7%)

Results

2.4s

8256×

body

128

valid

Compiler

Compiled 136 to 97 computations (28.7% saved)

simplify25.0ms (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

prune4.0ms (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))))
	12.4b	(/.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))))

12.4b

(/.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)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.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))
✓	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

series258.0ms (1.9%)

Counts

4 → 156

Calls

4 calls:

123.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
83.0ms	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
26.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
26.0ms	(/.f32 cos2phi (*.f32 alphax alphax))

rewrite38.0ms (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:

9.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
9.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
7.0ms	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
3.0ms	(/.f32 cos2phi (*.f32 alphax alphax))

simplify217.0ms (1.6%)

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

prune238.0ms (1.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	226	11	237
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	228	11	239

Error

Counts

239 → 11

Alt Table

Status	Error	Program
	1.0b	(/.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)))))
	1.2b	(.f32 (/.f32 (.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (cbrt.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 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
▶	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))
	0.7b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	12.7b	(.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 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 1 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))
	1.0b	(.f32 (.f32 (/.f32 (neg.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (cbrt.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (cbrt.f32 (log1p.f32 (neg.f32 u0))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	2.2b	(+.f32 (/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (fma.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (fma.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (sqrt.f32 sin2phi) (/.f32 alphay (/.f32 (sqrt.f32 sin2phi) alphay)))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 (sqrt.f32 (/.f32 cos2phi (.f32 alphax alphax))) (sqrt.f32 (/.f32 cos2phi (.f32 alphax alphax))) (/.f32 sin2phi (*.f32 alphay alphay))))
	0.8b	(.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)))))

Compiler

Compiled 7861 to 1985 computations (74.7% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.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)
✓	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))

series243.0ms (1.8%)

Counts

3 → 132

Calls

3 calls:

130.0ms

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

86.0ms

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

27.0ms

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

rewrite55.0ms (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:

17.0ms

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

15.0ms

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

8.0ms

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

simplify214.0ms (1.5%)

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

prune280.0ms (2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	311	3	314
Fresh	6	4	10
Picked	0	1	1
Done	0	0	0
Total	317	8	325

Error

Counts

325 → 8

Alt Table

Status	Error	Program
	1.0b	(/.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)))))
✓	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))
	0.7b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 (sqrt.f32 (/.f32 cos2phi (.f32 alphax alphax))) (sqrt.f32 (/.f32 cos2phi (.f32 alphax alphax))) (/.f32 sin2phi (*.f32 alphay alphay))))
	0.9b	(/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0))))))
	0.9b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 (/.f32 1 (*.f32 (cbrt.f32 alphay) (cbrt.f32 alphay))) (sqrt.f32 alphay)) (/.f32 (/.f32 sin2phi (cbrt.f32 alphay)) (sqrt.f32 alphay)))))
	0.6b	(.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 1 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))
▶	0.6b	(.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))

Compiler

Compiled 9446 to 2252 computations (76.2% saved)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.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))))
✓	0.3b	(.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))
✓	1.1b	(.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))

series268.0ms (1.9%)

Counts

4 → 180

Calls

4 calls:

121.0ms	(.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))
116.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))))
23.0ms	(.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))
8.0ms	(.f32 (.f32 alphax alphax) alphay)

rewrite44.0ms (0.3%)

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:

9.0ms	(.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))
7.0ms	(.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))
4.0ms	(.f32 (.f32 alphax alphax) alphay)
3.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 alphay cos2phi (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))))

simplify182.0ms (1.3%)

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

prune279.0ms (2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	354	0	354
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	354	8	362

Error

Counts

362 → 8

Alt Table

Status	Error	Program
	1.0b	(/.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)))))
✓	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))
	0.7b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 (sqrt.f32 (/.f32 cos2phi (.f32 alphax alphax))) (sqrt.f32 (/.f32 cos2phi (.f32 alphax alphax))) (/.f32 sin2phi (*.f32 alphay alphay))))
	0.9b	(/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0))))))
	0.9b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 (/.f32 1 (*.f32 (cbrt.f32 alphay) (cbrt.f32 alphay))) (sqrt.f32 alphay)) (/.f32 (/.f32 sin2phi (cbrt.f32 alphay)) (sqrt.f32 alphay)))))
▶	0.6b	(.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 1 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))
✓	0.6b	(.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))

Compiler

Compiled 13678 to 3001 computations (78.1% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	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 1 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))
✓	1.2b	(/.f32 1 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

series179.0ms (1.3%)

Counts

2 → 108

Calls

2 calls:

118.0ms

(*.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 1 (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))

60.0ms

(/.f32 1 (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary32`
29×	`add-sqr-sqrt_binary32`
26×	`times-frac_binary32`
22×	`add-cube-cbrt_binary32`
19×	`associate-r_binary32`

Counts

2 → 92

Calls

2 calls:

12.0ms

(*.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 1 (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))

8.0ms

(/.f32 1 (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))

simplify173.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-def_binary32`
229×	`associate-/l/_binary32`
220×	`cancel-sign-sub-inv_binary32`
209×	`fma-neg_binary32`
188×	`times-frac_binary32`

Counts

200 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	8324
1	708	7786
2	2603	7752
3	4795	7752
4	5115	7752

prune213.0ms (1.5%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	245	0	245
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	245	8	253

Error

Counts

253 → 8

Alt Table

Status	Error	Program
	1.0b	(/.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)))))
✓	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)))
	0.7b	(.f32 (/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 (sqrt.f32 (/.f32 cos2phi (.f32 alphax alphax))) (sqrt.f32 (/.f32 cos2phi (.f32 alphax alphax))) (/.f32 sin2phi (*.f32 alphay alphay))))
	0.9b	(/.f32 (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0)))) (/.f32 (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 sin2phi alphay) alphay)) (sqrt.f32 (neg.f32 (log1p.f32 (neg.f32 u0))))))
	0.9b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 (/.f32 1 (*.f32 (cbrt.f32 alphay) (cbrt.f32 alphay))) (sqrt.f32 alphay)) (/.f32 (/.f32 sin2phi (cbrt.f32 alphay)) (sqrt.f32 alphay)))))
✓	0.6b	(.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 1 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))
✓	0.6b	(.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))

Compiler

Compiled 7735 to 2429 computations (68.6% saved)

regimes6.4s (46.3%)

Accuracy

Total 0.5b remaining (93.1%)

Threshold costs 0.5b (93.1%)

Counts

420 → 1

Compiler

Compiled 199157 to 114702 computations (42.4% saved)

simplify3.0ms (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

end98.0ms (0.7%)

Compiler: Compiled 289 to 160 computations (44.6% 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

analyze1.8s (12.8%)

sample2.4s (17.7%)

simplify25.0ms (0.2%)

prune4.0ms (0%)

localize44.0ms (0.3%)

series258.0ms (1.9%)

rewrite38.0ms (0.3%)

simplify217.0ms (1.6%)

prune238.0ms (1.7%)

localize42.0ms (0.3%)

series243.0ms (1.8%)

rewrite55.0ms (0.4%)

simplify214.0ms (1.5%)

prune280.0ms (2%)

localize45.0ms (0.3%)

series268.0ms (1.9%)

rewrite44.0ms (0.3%)

simplify182.0ms (1.3%)

prune279.0ms (2%)

localize44.0ms (0.3%)

series179.0ms (1.3%)

rewrite30.0ms (0.2%)

simplify173.0ms (1.2%)

prune213.0ms (1.5%)

regimes6.4s (46.3%)

simplify3.0ms (0%)

end98.0ms (0.7%)

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