Details

analyze2.4s (19.7%)

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 (19.8%)

Results

2.3s

8256×

body

128

valid

Compiler

Compiled 136 to 97 computations (28.7% 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

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

0.5b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	11.9b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

Status

Error

Program

▶

0.5b

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

11.9b

(/.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))
✓	0.3b	(/.f32 cos2phi (*.f32 alphax alphax))
✓	0.4b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

series207.0ms (1.7%)

Counts

4 → 156

Calls

4 calls:

94.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
68.0ms	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
23.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
22.0ms	(/.f32 sin2phi (*.f32 alphay alphay))

rewrite104.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

274×	`expm1-udef_binary32`
274×	`log1p-udef_binary32`
179×	`egg-rr`
173×	`add-sqr-sqrt_binary32`
165×	`expm1-log1p-u_binary32`

Counts

4 → 179

Calls

4 calls:

99.0ms	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
99.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
99.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
99.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	336	47
2	4410	47
3	5151	47
0	0	0
1	0	0

simplify94.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-/r*_binary32`
603×	`associate-r_binary32`
497×	`associate-l_binary32`
236×	`fma-def_binary32`
197×	`associate-*r/_binary32`

Counts

335 → 224

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	4738
1	369	4542
2	1355	4534
3	5323	4534

prune225.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	215	9	224
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	217	9	226

Error

0.0b

Counts

226 → 9

Alt Table

Status	Error	Program
▶	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (/.f32 cos2phi (*.f32 alphax alphax))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2))) (/.f32 sin2phi (*.f32 alphay alphay))))
	26.6b	(-.f32 (.f32 (/.f32 (.f32 sin2phi (pow.f32 alphax 4)) (.f32 (.f32 alphay alphay) (.f32 cos2phi cos2phi))) (log1p.f32 (neg.f32 u0))) (.f32 (/.f32 (*.f32 alphax alphax) cos2phi) (log1p.f32 (neg.f32 u0))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 cos2phi alphay) (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))) (.f32 (*.f32 alphax alphax) alphay)))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay)) (.f32 alphax sin2phi)) (.f32 alphax (*.f32 alphay alphay))))
	9.5b	(-.f32 (.f32 (/.f32 (.f32 cos2phi (pow.f32 alphay 4)) (.f32 (.f32 alphax alphax) (.f32 sin2phi sin2phi))) (log1p.f32 (neg.f32 u0))) (.f32 (/.f32 (*.f32 alphay alphay) sin2phi) (log1p.f32 (neg.f32 u0))))
	8.4b	(pow.f32 (/.f32 (sqrt.f32 (log1p.f32 u0)) (hypot.f32 (/.f32 (sqrt.f32 cos2phi) alphax) (/.f32 (sqrt.f32 sin2phi) alphay))) 2)
	2.0b	(+.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 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) u0) (.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 (fma.f32 cos2phi (.f32 alphay alphay) (.f32 (.f32 alphax alphax) sin2phi)) (/.f32 1 (pow.f32 (*.f32 alphax alphay) 2))))

Compiler

Compiled 6377 to 2379 computations (62.7% saved)

localize38.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f32 sin2phi (pow.f32 alphay -2) (/.f32 cos2phi (*.f32 alphax alphax)))
	0.3b	(/.f32 cos2phi (*.f32 alphax alphax))
✓	0.4b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (/.f32 cos2phi (*.f32 alphax alphax))))

series148.0ms (1.2%)

Counts

2 → 108

Calls

2 calls:

90.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (/.f32 cos2phi (*.f32 alphax alphax))))
58.0ms	(fma.f32 sin2phi (pow.f32 alphay -2) (/.f32 cos2phi (*.f32 alphax alphax)))

rewrite115.0ms (0.9%)

Algorithm

2×	batch-egg-rewrite

Rules

355×	`prod-diff_binary32`
258×	`fma-udef_binary32`
248×	`expm1-udef_binary32`
248×	`log1p-udef_binary32`
199×	`fma-neg_binary32`

Counts

2 → 63

Calls

2 calls:

113.0ms	(fma.f32 sin2phi (pow.f32 alphay -2) (/.f32 cos2phi (*.f32 alphax alphax)))
113.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (/.f32 cos2phi (*.f32 alphax alphax))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	37
1	319	33
2	3403	33
3	4887	33
4	4901	33
5	4886	33
0	0	0
1	0	0

simplify81.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-/r*_binary32`
603×	`associate-r_binary32`
497×	`associate-l_binary32`
236×	`fma-def_binary32`
197×	`associate-*r/_binary32`

Counts

171 → 110

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	4402
1	369	4206
2	1355	4198
3	5323	4198

prune131.0ms (1.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	145	8	153

Error

0.0b

Counts

153 → 8

Alt Table

Status	Error	Program
	26.6b	(-.f32 (.f32 (/.f32 (.f32 sin2phi (pow.f32 alphax 4)) (.f32 (.f32 alphay alphay) (.f32 cos2phi cos2phi))) (log1p.f32 (neg.f32 u0))) (.f32 (/.f32 (*.f32 alphax alphax) cos2phi) (log1p.f32 (neg.f32 u0))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 cos2phi alphay) (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))) (.f32 (*.f32 alphax alphax) alphay)))
▶	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2)))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay)) (.f32 alphax sin2phi)) (.f32 alphax (*.f32 alphay alphay))))
	9.5b	(-.f32 (.f32 (/.f32 (.f32 cos2phi (pow.f32 alphay 4)) (.f32 (.f32 alphax alphax) (.f32 sin2phi sin2phi))) (log1p.f32 (neg.f32 u0))) (.f32 (/.f32 (*.f32 alphay alphay) sin2phi) (log1p.f32 (neg.f32 u0))))
	8.4b	(pow.f32 (/.f32 (sqrt.f32 (log1p.f32 u0)) (hypot.f32 (/.f32 (sqrt.f32 cos2phi) alphax) (/.f32 (sqrt.f32 sin2phi) alphay))) 2)
	2.0b	(+.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 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) u0) (.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 (fma.f32 cos2phi (.f32 alphay alphay) (.f32 (.f32 alphax alphax) sin2phi)) (/.f32 1 (pow.f32 (*.f32 alphax alphay) 2))))

Compiler

Compiled 4255 to 1965 computations (53.8% saved)

localize47.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f32 sin2phi (pow.f32 alphay -2) (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2))))
✓	0.3b	(*.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2))
✓	0.4b	(.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2)))
✓	0.4b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2)))))

series192.0ms (1.6%)

Counts

4 → 132

Calls

4 calls:

109.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2)))))
49.0ms	(fma.f32 sin2phi (pow.f32 alphay -2) (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2))))
22.0ms	(.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2)))
11.0ms	(*.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2))

rewrite68.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

352×	`prod-diff_binary32`
275×	`expm1-udef_binary32`
275×	`log1p-udef_binary32`
176×	`add-sqr-sqrt_binary32`
166×	`expm1-log1p-u_binary32`

Counts

4 → 96

Calls

4 calls:

65.0ms	(fma.f32 sin2phi (pow.f32 alphay -2) (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2))))
65.0ms	(*.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2))
65.0ms	(.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2)))
65.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2)))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	53
1	355	49
2	3644	49
3	5035	49
0	0	0
1	0	0

simplify90.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

690×	`associate-/r*_binary32`
604×	`associate-r_binary32`
499×	`associate-l_binary32`
236×	`fma-def_binary32`
200×	`associate-*r/_binary32`

Counts

228 → 145

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	125	4386
1	375	4170
2	1369	4162
3	5356	4162

prune142.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	145	0	145
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	145	8	153

Error

0.0b

Counts

153 → 8

Alt Table

Status	Error	Program
	26.6b	(-.f32 (.f32 (/.f32 (.f32 sin2phi (pow.f32 alphax 4)) (.f32 (.f32 alphay alphay) (.f32 cos2phi cos2phi))) (log1p.f32 (neg.f32 u0))) (.f32 (/.f32 (*.f32 alphax alphax) cos2phi) (log1p.f32 (neg.f32 u0))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 cos2phi alphay) (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))) (.f32 (*.f32 alphax alphax) alphay)))
✓	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2)))))
▶	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay)) (.f32 alphax sin2phi)) (.f32 alphax (*.f32 alphay alphay))))
	9.5b	(-.f32 (.f32 (/.f32 (.f32 cos2phi (pow.f32 alphay 4)) (.f32 (.f32 alphax alphax) (.f32 sin2phi sin2phi))) (log1p.f32 (neg.f32 u0))) (.f32 (/.f32 (*.f32 alphay alphay) sin2phi) (log1p.f32 (neg.f32 u0))))
	8.4b	(pow.f32 (/.f32 (sqrt.f32 (log1p.f32 u0)) (hypot.f32 (/.f32 (sqrt.f32 cos2phi) alphax) (/.f32 (sqrt.f32 sin2phi) alphay))) 2)
	2.0b	(+.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 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) u0) (.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 (fma.f32 cos2phi (.f32 alphay alphay) (.f32 (.f32 alphax alphax) sin2phi)) (/.f32 1 (pow.f32 (*.f32 alphax alphay) 2))))

Compiler

Compiled 4300 to 2298 computations (46.6% saved)

localize52.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series197.0ms (1.6%)

Counts

4 → 168

Calls

4 calls:

102.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay)) (.f32 alphax sin2phi)) (.f32 alphax (*.f32 alphay alphay))))
69.0ms	(/.f32 (+.f32 (.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay)) (.f32 alphax sin2phi)) (.f32 alphax (*.f32 alphay alphay)))
19.0ms	(.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay))
7.0ms	(.f32 alphax (.f32 alphay alphay))

rewrite82.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

469×	`prod-diff_binary32`
194×	`add-sqr-sqrt_binary32`
183×	`expm1-log1p-u_binary32`
182×	`log1p-expm1-u_binary32`
178×	`add-cbrt-cube_binary32`

Counts

4 → 121

Calls

4 calls:

72.0ms	(.f32 alphax (.f32 alphay alphay))
72.0ms	(.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay))
72.0ms	(/.f32 (+.f32 (.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay)) (.f32 alphax sin2phi)) (.f32 alphax (*.f32 alphay alphay)))
72.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay)) (.f32 alphax sin2phi)) (.f32 alphax (*.f32 alphay alphay))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	72
1	379	68
2	4392	68
3	5221	68
0	0	0
1	0	0

simplify127.0ms (1%)

Algorithm

1×	egg-herbie

Rules

795×	`associate-/r*_binary32`
395×	`fma-def_binary32`
266×	`associate-*l/_binary32`
234×	`associate-/r/_binary32`
206×	`fma-neg_binary32`

Counts

289 → 172

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	5129
1	442	4919
2	1754	4785
3	4895	4785
4	4987	4785

prune159.0ms (1.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	171	1	172
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	172	8	180

Error

0.0b

Counts

180 → 8

Alt Table

Status	Error	Program
	26.6b	(-.f32 (.f32 (/.f32 (.f32 sin2phi (pow.f32 alphax 4)) (.f32 (.f32 alphay alphay) (.f32 cos2phi cos2phi))) (log1p.f32 (neg.f32 u0))) (.f32 (/.f32 (*.f32 alphax alphax) cos2phi) (log1p.f32 (neg.f32 u0))))
	2.6b	(fma.f32 1/2 (.f32 (/.f32 (.f32 u0 (.f32 (.f32 alphay alphay) alphax)) (fma.f32 alphax sin2phi (/.f32 (.f32 (.f32 alphay alphay) cos2phi) alphax))) u0) (fma.f32 1/3 (/.f32 (.f32 (.f32 (.f32 alphay alphay) alphax) (pow.f32 u0 3)) (fma.f32 alphax sin2phi (/.f32 (.f32 (.f32 alphay alphay) cos2phi) alphax))) (/.f32 (.f32 u0 (.f32 (.f32 alphay alphay) alphax)) (fma.f32 alphax sin2phi (/.f32 (.f32 (.f32 alphay alphay) cos2phi) alphax)))))
	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 cos2phi alphay) (.f32 (.f32 alphax alphax) (/.f32 sin2phi alphay))) (.f32 (*.f32 alphax alphax) alphay)))
✓	0.5b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (.f32 (sqrt.f32 cos2phi) (.f32 (sqrt.f32 cos2phi) (pow.f32 alphax -2)))))
✓	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (/.f32 (+.f32 (.f32 (/.f32 cos2phi alphax) (.f32 alphay alphay)) (.f32 alphax sin2phi)) (.f32 alphax (*.f32 alphay alphay))))
	9.5b	(-.f32 (.f32 (/.f32 (.f32 cos2phi (pow.f32 alphay 4)) (.f32 (.f32 alphax alphax) (.f32 sin2phi sin2phi))) (log1p.f32 (neg.f32 u0))) (.f32 (/.f32 (*.f32 alphay alphay) sin2phi) (log1p.f32 (neg.f32 u0))))
	2.0b	(+.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 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) u0) (.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 (fma.f32 cos2phi (.f32 alphay alphay) (.f32 (.f32 alphax alphax) sin2phi)) (/.f32 1 (pow.f32 (*.f32 alphax alphay) 2))))

Compiler

Compiled 5618 to 1646 computations (70.7% saved)

regimes4.9s (40%)

Accuracy

Total 0.5b remaining (91.7%)

Threshold costs 0.5b (91.7%)

Counts

321 → 1

Compiler

Compiled 132256 to 85849 computations (35.1% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-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	19	30
1	29	30
2	35	30
3	39	30
4	40	30
5	40	30

end118.0ms (1%)

Compiler: Compiled 355 to 188 computations (47% 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

analyze2.4s (19.7%)

sample2.4s (19.8%)

simplify24.0ms (0.2%)

prune4.0ms (0%)

localize42.0ms (0.3%)

series207.0ms (1.7%)

rewrite104.0ms (0.9%)

simplify94.0ms (0.8%)

prune225.0ms (1.9%)

localize38.0ms (0.3%)

series148.0ms (1.2%)

rewrite115.0ms (0.9%)

simplify81.0ms (0.7%)

prune131.0ms (1.1%)

localize47.0ms (0.4%)

series192.0ms (1.6%)

rewrite68.0ms (0.6%)

simplify90.0ms (0.7%)

prune142.0ms (1.2%)

localize52.0ms (0.4%)

series197.0ms (1.6%)

rewrite82.0ms (0.7%)

simplify127.0ms (1%)

prune159.0ms (1.3%)

regimes4.9s (40%)

simplify2.0ms (0%)

end118.0ms (1%)

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