Details

analyze1.9s (19%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.8%	99.2%	0
0%	0.8%	99.2%	1
0%	0.8%	99.2%	2
0%	0.8%	99.2%	3
0%	0.8%	99.2%	4
0%	0.8%	99.2%	5
0.2%	0.4%	99.4%	6
0.2%	0.4%	99.4%	7
0.2%	0.4%	99.4%	8
0.2%	0.4%	99.4%	9
0.3%	0.2%	99.5%	10
0.3%	0.2%	99.5%	11
0.3%	0.2%	99.5%	12
0.3%	0.2%	99.5%	13
0.3%	0.1%	99.6%	14

Compiler

Compiled 62 to 45 computations (27.4% saved)

sample3.8s (37.7%)

Results

3.3s	8256×	body	128	valid
396.0ms	951×	body	128	invalid

Compiler

Compiled 153 to 110 computations (28.1% saved)

simplify194.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

2213×	`fma-def_binary32`
1110×	`div-sub_binary32`
1069×	`fma-neg_binary32`
619×	`times-frac_binary32`
350×	`sub-neg_binary32`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	18	37
1	38	31
2	78	31
3	137	26
4	203	26
5	232	26
6	274	26
7	372	26
8	432	26
9	523	26
10	666	26
11	1121	26
12	2051	26
13	2034	26
14	2092	26
15	2417	26
16	2722	26
17	2897	26
18	2169	26
19	2439	26
20	2299	26
21	2299	26
22	2299	26
23	2299	26
24	2299	26
25	2299	26
26	2114	26

prune5.0ms (0.1%)

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

1.0b

Counts

3 → 2

Alt Table

Status	Error	Program
	9.1b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	1.1b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Status

Error

Program

9.1b

(/.f32 (fma.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

▶

1.1b

(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))

Compiler

Compiled 146 to 95 computations (34.9% saved)

localize70.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.1b	(*.f32 (-.f32 1 u) normAngle)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.8b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))

series108.0ms (1.1%)

Counts

4 → 96

Calls

4 calls:

56.0ms	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
26.0ms	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
21.0ms	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
4.0ms	(*.f32 (-.f32 1 u) normAngle)

rewrite75.0ms (0.7%)

Algorithm

2×	batch-egg-rewrite

Rules

90× egg-rr

Counts

4 → 90

Calls

2 calls:

72.0ms

((*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) (*.f32 (-.f32 1 u) normAngle) (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	312	49
2	3786	49
3	5365	49
0	0	0
1	0	0

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

691×	`cancel-sign-sub-inv_binary32`
391×	`fma-def_binary32`
370×	`associate-r_binary32`
267×	`associate-+r+_binary32`
257×	`fma-neg_binary32`

Counts

186 → 140

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	2410
1	882	2364
2	3471	2360
3	4986	2360
4	5000	2360

prune216.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	131	9	140
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	132	10	142

Error

0.0b

Counts

142 → 10

Alt Table

Status	Error	Program
	9.1b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	1.4b	(+.f32 (.f32 (.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 normAngle (-.f32 1 u))) 3)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.0b	(+.f32 (-.f32 (fma.f32 1/2 (.f32 u (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/12 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 11/120 (.f32 u (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/36 (.f32 (pow.f32 u 3) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/6 (.f32 (pow.f32 u 3) (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/24 (.f32 (pow.f32 u 4) (.f32 (pow.f32 normAngle 4) n0_i)) n0_i)))))) (fma.f32 1/6 (.f32 u (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/12 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 u n0_i (fma.f32 1/2 (.f32 (.f32 u u) (.f32 normAngle (.f32 normAngle n0_i))) (.f32 (.f32 (pow.f32 normAngle 4) n0_i) (+.f32 (.f32 u 5/72) (.f32 (pow.f32 u 3) 1/12))))))))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	13.0b	(+.f32 (.f32 (.f32 (sin.f32 (pow.f32 (pow.f32 (.f32 normAngle (-.f32 1 u)) 3) 1/3)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
▶	0.7b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	2.7b	(+.f32 (.f32 (.f32 (sin.f32 (exp.f32 (log.f32 (.f32 normAngle (-.f32 1 u))))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.2b	(+.f32 (.f32 (log.f32 (+.f32 1 (expm1.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (pow.f32 (sqrt.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) 2) n1_i))

Compiler

Compiled 6023 to 3459 computations (42.6% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	0.1b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
	0.1b	(*.f32 (-.f32 1 u) normAngle)
	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))

series71.0ms (0.7%)

Counts

1 → 48

Calls

1 calls:

71.0ms

(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (*.f32 u n1_i))

rewrite62.0ms (0.6%)

Algorithm

2×	batch-egg-rewrite

Rules

40× egg-rr

Counts

1 → 40

Calls

2 calls:

60.0ms	((+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	21
1	320	21
2	4015	21
3	5083	21
0	0	0
1	0	0

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

402×	`cancel-sign-sub-inv_binary32`
391×	`associate--r+_binary32`
390×	`associate--l+_binary32`
261×	`associate-r_binary32`
230×	`fma-def_binary32`

Counts

88 → 60

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	167	1478
1	543	1471
2	2158	1410
3	5064	1410

prune248.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	158	2	160
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	164	6	170

Error

Counts

170 → 6

Alt Table

Status	Error	Program
	9.1b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	1.0b	(+.f32 (-.f32 (fma.f32 1/2 (.f32 u (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/12 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 11/120 (.f32 u (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/36 (.f32 (pow.f32 u 3) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/6 (.f32 (pow.f32 u 3) (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/24 (.f32 (pow.f32 u 4) (.f32 (pow.f32 normAngle 4) n0_i)) n0_i)))))) (fma.f32 1/6 (.f32 u (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/12 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 u n0_i (fma.f32 1/2 (.f32 (.f32 u u) (.f32 normAngle (.f32 normAngle n0_i))) (.f32 (.f32 (pow.f32 normAngle 4) n0_i) (+.f32 (.f32 u 5/72) (.f32 (pow.f32 u 3) 1/12))))))))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
▶	0.6b	(+.f32 (fma.f32 n1_i u (fma.f32 1/6 (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (pow.f32 u 3)) n0_i)) (-.f32 (.f32 (.f32 u (.f32 n0_i (.f32 normAngle normAngle))) 1/3) (.f32 n0_i (+.f32 (.f32 (.f32 1/2 (.f32 u u)) (.f32 normAngle normAngle)) u))))
	0.8b	(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))

Compiler

Compiled 5690 to 3263 computations (42.7% saved)

localize99.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (.f32 u (.f32 n0_i (.f32 normAngle normAngle))) 1/3)
✓	0.1b	(+.f32 (fma.f32 n1_i u (fma.f32 1/6 (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (pow.f32 u 3)) n0_i)) (-.f32 (.f32 (.f32 u (.f32 n0_i (.f32 normAngle normAngle))) 1/3) (.f32 n0_i (+.f32 (.f32 (.f32 1/2 (.f32 u u)) (.f32 normAngle normAngle)) u))))
✓	0.1b	(.f32 n0_i (.f32 normAngle normAngle))
✓	0.1b	(.f32 (.f32 1/2 (.f32 u u)) (.f32 normAngle normAngle))

series251.0ms (2.5%)

Counts

4 → 132

Calls

4 calls:

161.0ms	(+.f32 (fma.f32 n1_i u (fma.f32 1/6 (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (pow.f32 u 3)) n0_i)) (-.f32 (.f32 (.f32 u (.f32 n0_i (.f32 normAngle normAngle))) 1/3) (.f32 n0_i (+.f32 (.f32 (.f32 1/2 (.f32 u u)) (.f32 normAngle normAngle)) u))))
48.0ms	(.f32 (.f32 1/2 (.f32 u u)) (.f32 normAngle normAngle))
34.0ms	(.f32 (.f32 u (.f32 n0_i (.f32 normAngle normAngle))) 1/3)
8.0ms	(.f32 n0_i (.f32 normAngle normAngle))

rewrite82.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

62× egg-rr

Counts

4 → 62

Calls

2 calls:

80.0ms

((*.f32 (*.f32 1/2 (*.f32 u u)) (*.f32 normAngle normAngle)) (*.f32 n0_i (*.f32 normAngle normAngle)) (+.f32 (fma.f32 n1_i u (fma.f32 1/6 (*.f32 (*.f32 n0_i (*.f32 normAngle normAngle)) (pow.f32 u 3)) n0_i)) (-.f32 (*.f32 (*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))) 1/3) (*.f32 n0_i (+.f32 (*.f32 (*.f32 1/2 (*.f32 u u)) (*.f32 normAngle normAngle)) u)))) (*.f32 (*.f32 u (*.f32 n0_i (*.f32 normAngle normAngle))) 1/3))

0.0ms

()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	88
1	543	82
2	4848	82
3	5679	82
0	0	0
1	0	0

simplify121.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

638×	`fma-def_binary32`
355×	`associate-l_binary32`
335×	`cancel-sign-sub-inv_binary32`
334×	`distribute-rgt-neg-in_binary32`
323×	`distribute-lft-neg-in_binary32`

Counts

194 → 98

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	3152
1	254	2955
2	812	2618
3	3196	2581
4	4770	2581
5	5140	2581

prune244.0ms (2.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	114	6	120

Error

Counts

120 → 6

Alt Table

Status	Error	Program
	9.1b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	1.0b	(+.f32 (-.f32 (fma.f32 1/2 (.f32 u (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/12 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 11/120 (.f32 u (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/36 (.f32 (pow.f32 u 3) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/6 (.f32 (pow.f32 u 3) (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/24 (.f32 (pow.f32 u 4) (.f32 (pow.f32 normAngle 4) n0_i)) n0_i)))))) (fma.f32 1/6 (.f32 u (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/12 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 u n0_i (fma.f32 1/2 (.f32 (.f32 u u) (.f32 normAngle (.f32 normAngle n0_i))) (.f32 (.f32 (pow.f32 normAngle 4) n0_i) (+.f32 (.f32 u 5/72) (.f32 (pow.f32 u 3) 1/12))))))))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
✓	0.6b	(+.f32 (fma.f32 n1_i u (fma.f32 1/6 (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (pow.f32 u 3)) n0_i)) (-.f32 (.f32 (.f32 u (.f32 n0_i (.f32 normAngle normAngle))) 1/3) (.f32 n0_i (+.f32 (.f32 (.f32 1/2 (.f32 u u)) (.f32 normAngle normAngle)) u))))
▶	0.8b	(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))

Compiler

Compiled 4960 to 2418 computations (51.3% saved)

localize20.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 u (-.f32 n1_i n0_i))
✓	0.1b	(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))

series15.0ms (0.2%)

Counts

2 → 72

Calls

2 calls:

9.0ms	(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
6.0ms	(*.f32 u (-.f32 n1_i n0_i))

rewrite52.0ms (0.5%)

Algorithm

2×	batch-egg-rewrite

Rules

56× egg-rr

Counts

2 → 56

Calls

2 calls:

51.0ms	((+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (-.f32 n1_i n0_i)))
0.0ms	()

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	158	15
2	2197	15
3	5428	15
0	0	0
1	0	0

simplify42.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

275×	`fma-neg_binary32`
266×	`fma-def_binary32`
60×	`distribute-rgt-in_binary32`
38×	`cancel-sign-sub-inv_binary32`
36×	`unsub-neg_binary32`

Counts

128 → 71

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	585
1	64	558
2	115	558
3	193	504
4	358	504
5	564	504
6	642	504
7	666	504
8	623	504

prune81.0ms (0.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	71	6	77

Error

Counts

77 → 6

Alt Table

Status	Error	Program
	9.1b	(/.f32 (fma.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	1.0b	(+.f32 (-.f32 (fma.f32 1/2 (.f32 u (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/12 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 11/120 (.f32 u (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/36 (.f32 (pow.f32 u 3) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/6 (.f32 (pow.f32 u 3) (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/24 (.f32 (pow.f32 u 4) (.f32 (pow.f32 normAngle 4) n0_i)) n0_i)))))) (fma.f32 1/6 (.f32 u (.f32 normAngle (.f32 normAngle n0_i))) (fma.f32 1/12 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 1/120 (.f32 (pow.f32 u 5) (.f32 (pow.f32 normAngle 4) n0_i)) (fma.f32 u n0_i (fma.f32 1/2 (.f32 (.f32 u u) (.f32 normAngle (.f32 normAngle n0_i))) (.f32 (.f32 (pow.f32 normAngle 4) n0_i) (+.f32 (.f32 u 5/72) (.f32 (pow.f32 u 3) 1/12))))))))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 1 (.f32 u u)) normAngle) (+.f32 u 1))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))
	1.2b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
✓	0.6b	(+.f32 (fma.f32 n1_i u (fma.f32 1/6 (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (pow.f32 u 3)) n0_i)) (-.f32 (.f32 (.f32 u (.f32 n0_i (.f32 normAngle normAngle))) 1/3) (.f32 n0_i (+.f32 (.f32 (.f32 1/2 (.f32 u u)) (.f32 normAngle normAngle)) u))))
✓	0.8b	(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))

Compiler

Compiled 1129 to 428 computations (62.1% saved)

regimes1.9s (19.3%)

Accuracy

Total 0.4b remaining (95.4%)

Threshold costs 0.4b (95.4%)

Counts

268 → 1

Compiler

Compiled 37618 to 25292 computations (32.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

7×	`*-commutative_binary32`
3×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`neg-sub0_binary32`
1×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	52
1	35	52
2	39	52
3	41	52
4	42	52
5	41	52

end161.0ms (1.6%)

Compiler: Compiled 352 to 218 computations (38.1% saved)

Iter	Nodes	Cost
0	26	585
1	64	558
2	115	558
3	193	504
4	358	504
5	564	504
6	642	504
7	666	504
8	623	504

Iter	Nodes	Cost
0	26	585
1	64	558
2	115	558
3	193	504
4	358	504
5	564	504
6	642	504
7	666	504
8	623	504

Details

analyze1.9s (19%)

sample3.8s (37.7%)

simplify194.0ms (1.9%)

prune5.0ms (0.1%)

localize70.0ms (0.7%)

series108.0ms (1.1%)

rewrite75.0ms (0.7%)

simplify89.0ms (0.9%)

prune216.0ms (2.2%)

localize53.0ms (0.5%)

series71.0ms (0.7%)

rewrite62.0ms (0.6%)

simplify47.0ms (0.5%)

prune248.0ms (2.5%)

localize99.0ms (1%)

series251.0ms (2.5%)

rewrite82.0ms (0.8%)

simplify121.0ms (1.2%)

prune244.0ms (2.4%)

localize20.0ms (0.2%)

series15.0ms (0.2%)

rewrite52.0ms (0.5%)

simplify42.0ms (0.4%)

prune81.0ms (0.8%)

regimes1.9s (19.3%)

simplify3.0ms (0%)

end161.0ms (1.6%)

Profiling

Iter	Nodes	Cost
0	26	585
1	64	558
2	115	558
3	193	504
4	358	504
5	564	504
6	642	504
7	666	504
8	623	504