Details

analyze1.8s (19%)

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)

sample2.3s (24.8%)

Results

2.3s

8256×

body

128

valid

Compiler

Compiled 136 to 97 computations (28.7% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	30	25
2	42	25
3	57	25
4	70	25
5	92	25
6	117	25
7	166	25
8	224	25
9	270	25
10	323	25
11	417	25
12	581	25
13	919	25
14	990	25
15	1031	25
16	1036	25

Stop Event

1×

saturated

Counts

1 → 2

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

0.7b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.7b	(/.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

▶

0.7b

(/.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)

localize41.0ms (0.4%)

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))
✓	0.3b	(/.f32 cos2phi (*.f32 alphax alphax))
✓	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

series205.0ms (2.2%)

Counts

4 → 156

Calls

4 calls:

95.0ms	(/.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)))
21.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
21.0ms	(/.f32 sin2phi (*.f32 alphay alphay))

rewrite51.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

176×	`egg-rr`
173×	`add-sqr-sqrt_binary32`
165×	`expm1-log1p-u_binary32`
164×	`log1p-expm1-u_binary32`
162×	`add-cbrt-cube_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	55
1	336	47

Stop Event

1×	node limit

Counts

4 → 176

Calls

4 calls:

39.0ms	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))
39.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
39.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
39.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-/r*_binary32`
598×	`associate-r_binary32`
495×	`associate-l_binary32`
222×	`fma-def_binary32`
197×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	4738
1	372	4542
2	1398	4534

Stop Event

1×	node limit

Counts

332 → 223

prune230.0ms (2.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	213	10	223
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	215	10	225

Error

0.0b

Counts

225 → 10

Alt Table

Status	Error	Program
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 sin2phi alphay) (/.f32 1 alphay))))
	9.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u0)) 2) (.f32 (cbrt.f32 (log1p.f32 u0)) (/.f32 1 (fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2))))))
▶	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2))))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (pow.f32 (/.f32 alphay (/.f32 sin2phi alphay)) -1)))
	6.9b	(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) sin2phi) (neg.f32 (.f32 alphay alphay)))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (expm1.f32 (log1p.f32 (.f32 cos2phi (pow.f32 alphax -2)))) (/.f32 sin2phi (.f32 alphay alphay))))
	3.1b	(+.f32 (/.f32 u0 (+.f32 (/.f32 sin2phi (pow.f32 alphay 2)) (/.f32 cos2phi (pow.f32 alphax 2)))) (+.f32 (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (pow.f32 alphay 2)) (/.f32 cos2phi (pow.f32 alphax 2))))) (.f32 1/2 (/.f32 (pow.f32 u0 2) (+.f32 (/.f32 sin2phi (pow.f32 alphay 2)) (/.f32 cos2phi (pow.f32 alphax 2)))))))
	26.6b	(-.f32 (.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (.f32 alphay alphay)) (/.f32 (.f32 sin2phi (pow.f32 alphax 4)) (.f32 cos2phi cos2phi))) (.f32 (/.f32 (log1p.f32 (neg.f32 u0)) cos2phi) (.f32 alphax alphax)))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2))))
	0.9b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 1 (cbrt.f32 (pow.f32 alphay 4))) (/.f32 sin2phi (pow.f32 (cbrt.f32 alphay) 2)))))

Compiler

Compiled 6334 to 2889 computations (54.4% saved)

localize39.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (neg.f32 u0))
✓	0.2b	(fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2)))
✓	0.3b	(*.f32 cos2phi (pow.f32 alphax -2))
✓	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2))))

series178.0ms (1.9%)

Counts

4 → 144

Calls

4 calls:

95.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2))))
56.0ms	(fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2)))
25.0ms	(*.f32 cos2phi (pow.f32 alphax -2))
2.0ms	(log1p.f32 (neg.f32 u0))

rewrite54.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`prod-diff_binary32`
244×	`log1p-udef_binary32`
158×	`add-sqr-sqrt_binary32`
149×	`expm1-log1p-u_binary32`
148×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	315	43
2	4043	43

Stop Event

1×	node limit

Counts

4 → 105

Calls

4 calls:

52.0ms	(log1p.f32 (neg.f32 u0))
52.0ms	(fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2)))
52.0ms	(*.f32 cos2phi (pow.f32 alphax -2))
52.0ms	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2))))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

688×	`associate-/r*_binary32`
403×	`fma-def_binary32`
196×	`associate-*r/_binary32`
193×	`associate-*l/_binary32`
132×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	157	4792
1	481	4580
2	1789	4569

Stop Event

1×	node limit

Counts

249 → 176

prune161.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	175	1	176
Fresh	1	8	9
Picked	0	1	1
Done	0	0	0
Total	176	10	186

Error

0.0b

Counts

186 → 10

Alt Table

Status	Error	Program
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 sin2phi alphay) (/.f32 1 alphay))))
	9.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u0)) 2) (.f32 (cbrt.f32 (log1p.f32 u0)) (/.f32 1 (fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2))))))
✓	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2))))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (pow.f32 (/.f32 alphay (/.f32 sin2phi alphay)) -1)))
	6.9b	(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) sin2phi) (neg.f32 (.f32 alphay alphay)))
	26.6b	(-.f32 (.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (.f32 alphay alphay)) (/.f32 (.f32 sin2phi (pow.f32 alphax 4)) (.f32 cos2phi cos2phi))) (.f32 (/.f32 (log1p.f32 (neg.f32 u0)) cos2phi) (.f32 alphax alphax)))
▶	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2))))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (expm1.f32 (log1p.f32 (.f32 cos2phi (pow.f32 alphax -2)))) (/.f32 sin2phi (.f32 alphay alphay))))
	2.6b	(+.f32 (fma.f32 1/2 (/.f32 u0 (/.f32 (+.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)))))) (fma.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	0.9b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 1 (cbrt.f32 (pow.f32 alphay 4))) (/.f32 sin2phi (pow.f32 (cbrt.f32 alphay) 2)))))

Compiler

Compiled 5018 to 2874 computations (42.7% saved)

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 (neg.f32 u0))
✓	0.1b	(fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2)))
✓	0.2b	(*.f32 sin2phi (pow.f32 alphay -2))
✓	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2))))

series165.0ms (1.7%)

Counts

3 → 132

Calls

3 calls:

91.0ms

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

52.0ms

(fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2)))

22.0ms

(*.f32 sin2phi (pow.f32 alphay -2))

rewrite57.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

298×	`prod-diff_binary32`
244×	`log1p-udef_binary32`
158×	`add-sqr-sqrt_binary32`
149×	`expm1-log1p-u_binary32`
148×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	315	40
2	4043	40

Stop Event

1×	node limit

Counts

3 → 76

Calls

3 calls:

55.0ms

(fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2)))

55.0ms

(*.f32 sin2phi (pow.f32 alphay -2))

55.0ms

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

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

683×	`associate-/r*_binary32`
599×	`associate-r_binary32`
494×	`associate-l_binary32`
223×	`fma-def_binary32`
197×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	123	4564
1	375	4370
2	1404	4364

Stop Event

1×	node limit

Counts

208 → 123

prune149.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	176	0	176
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	176	10	186

Error

0.0b

Counts

186 → 10

Alt Table

Status	Error	Program
▶	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 sin2phi alphay) (/.f32 1 alphay))))
	9.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 u0)) 2) (.f32 (cbrt.f32 (log1p.f32 u0)) (/.f32 1 (fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2))))))
✓	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2))))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (pow.f32 (/.f32 alphay (/.f32 sin2phi alphay)) -1)))
	6.9b	(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) sin2phi) (neg.f32 (.f32 alphay alphay)))
	26.6b	(-.f32 (.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (.f32 alphay alphay)) (/.f32 (.f32 sin2phi (pow.f32 alphax 4)) (.f32 cos2phi cos2phi))) (.f32 (/.f32 (log1p.f32 (neg.f32 u0)) cos2phi) (.f32 alphax alphax)))
✓	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2))))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (expm1.f32 (log1p.f32 (.f32 cos2phi (pow.f32 alphax -2)))) (/.f32 sin2phi (.f32 alphay alphay))))
	2.6b	(+.f32 (fma.f32 1/2 (/.f32 u0 (/.f32 (+.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)))))) (fma.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	0.9b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 1 (cbrt.f32 (pow.f32 alphay 4))) (/.f32 sin2phi (pow.f32 (cbrt.f32 alphay) 2)))))

Compiler

Compiled 4997 to 2851 computations (42.9% saved)

localize44.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 sin2phi alphay) (/.f32 1 alphay)))
	0.3b	(/.f32 cos2phi (*.f32 alphax alphax))
✓	0.3b	(*.f32 (/.f32 sin2phi alphay) (/.f32 1 alphay))
✓	0.6b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 sin2phi alphay) (/.f32 1 alphay))))

series189.0ms (2%)

Counts

3 → 132

Calls

3 calls:

93.0ms

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

74.0ms

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

21.0ms

(*.f32 (/.f32 sin2phi alphay) (/.f32 1 alphay))

rewrite38.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

185×	`add-sqr-sqrt_binary32`
174×	`expm1-log1p-u_binary32`
173×	`log1p-expm1-u_binary32`
172×	`add-cbrt-cube_binary32`
170×	`add-log-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	48
1	370	40

Stop Event

1×	node limit

Counts

3 → 129

Calls

3 calls:

36.0ms

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

36.0ms

(*.f32 (/.f32 sin2phi alphay) (/.f32 1 alphay))

36.0ms

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

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-/r*_binary32`
598×	`associate-r_binary32`
495×	`associate-l_binary32`
222×	`fma-def_binary32`
197×	`associate-*r/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	4570
1	372	4374
2	1398	4366

Stop Event

1×	node limit

Counts

261 → 175

prune170.0ms (1.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	206	3	209
Fresh	3	4	7
Picked	0	1	1
Done	0	2	2
Total	209	10	219

Error

0.0b

Counts

219 → 10

Alt Table

Status	Error	Program
✓	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 sin2phi (pow.f32 alphay -2) (*.f32 cos2phi (pow.f32 alphax -2))))
	6.9b	(.f32 (/.f32 (log1p.f32 (neg.f32 u0)) sin2phi) (neg.f32 (.f32 alphay alphay)))
	21.3b	(.f32 (/.f32 (log1p.f32 u0) (+.f32 (pow.f32 (.f32 cos2phi (pow.f32 alphax -2)) 3) (pow.f32 (.f32 sin2phi (pow.f32 alphay -2)) 3))) (+.f32 (/.f32 (.f32 cos2phi cos2phi) (pow.f32 alphax 4)) (.f32 (.f32 sin2phi (pow.f32 alphay -2)) (-.f32 (.f32 sin2phi (pow.f32 alphay -2)) (.f32 cos2phi (pow.f32 alphax -2))))))
✓	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (fma.f32 cos2phi (pow.f32 alphax -2) (*.f32 sin2phi (pow.f32 alphay -2))))
✓	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (.f32 (/.f32 sin2phi alphay) (/.f32 1 alphay))))
	0.8b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (/.f32 (/.f32 sin2phi alphay) (sqrt.f32 alphay)) (sqrt.f32 alphay))))
	26.6b	(-.f32 (.f32 (/.f32 (log1p.f32 (neg.f32 u0)) (.f32 alphay alphay)) (/.f32 (.f32 sin2phi (pow.f32 alphax 4)) (.f32 cos2phi cos2phi))) (.f32 (/.f32 (log1p.f32 (neg.f32 u0)) cos2phi) (.f32 alphax alphax)))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 1 (.f32 (/.f32 alphay sin2phi) alphay))))
	0.7b	(/.f32 (neg.f32 (log1p.f32 (neg.f32 u0))) (+.f32 (expm1.f32 (log1p.f32 (.f32 cos2phi (pow.f32 alphax -2)))) (/.f32 sin2phi (.f32 alphay alphay))))
	2.6b	(+.f32 (fma.f32 1/2 (/.f32 u0 (/.f32 (+.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)))))) (fma.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))

Compiler

Compiled 5664 to 2669 computations (52.9% saved)

regimes3.1s (32.3%)

Accuracy

Total 0.4b remaining (86.1%)

Threshold costs 0.4b (86.1%)

Counts

207 → 1

Compiler

Compiled 79427 to 54910 computations (30.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`+-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	23
1	23	23
2	29	23
3	33	23
4	34	23

Stop Event

1×

saturated

end140.0ms (1.5%)

Compiler: Compiled 340 to 214 computations (37.1% saved)

Details

analyze1.8s (19%)

sample2.3s (24.8%)

simplify19.0ms (0.2%)

prune4.0ms (0%)

localize41.0ms (0.4%)

series205.0ms (2.2%)

rewrite51.0ms (0.5%)

simplify75.0ms (0.8%)

prune230.0ms (2.4%)

localize39.0ms (0.4%)

series178.0ms (1.9%)

rewrite54.0ms (0.6%)

simplify72.0ms (0.8%)

prune161.0ms (1.7%)

localize37.0ms (0.4%)

series165.0ms (1.7%)

rewrite57.0ms (0.6%)

simplify68.0ms (0.7%)

prune149.0ms (1.6%)

localize44.0ms (0.5%)

series189.0ms (2%)

rewrite38.0ms (0.4%)

simplify67.0ms (0.7%)

prune170.0ms (1.8%)

regimes3.1s (32.3%)

simplify3.0ms (0%)

end140.0ms (1.5%)

Profiling