Details

analyze1.6s (6.3%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.8%	99.2%	0%	0%	0%	0
0%	0%	0.8%	99.2%	0%	0%	0%	1
0%	0%	0.8%	99.2%	0%	0%	0%	2
0%	0%	0.8%	99.2%	0%	0%	0%	3
0%	0%	0.8%	99.2%	0%	0%	0%	4
0%	0%	0.8%	99.2%	0%	0%	0%	5
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	6
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	7
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	8
33.3%	0.2%	0.4%	99.4%	0%	0%	0%	9
60%	0.3%	0.2%	99.5%	0%	0%	0%	10
60%	0.3%	0.2%	99.5%	0%	0%	0%	11
60%	0.3%	0.2%	99.5%	0%	0%	0%	12

Compiler

Compiled 62 to 45 computations (27.4% saved)

sample9.2s (36.3%)

Results

8.0s	8256×	body	256	valid
1.2s	2051×	body	256	precondition

Bogosity

preprocess141.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

1102×	`rational.json-simplify-26`
1070×	`rational.json-simplify-35`
1030×	`rational.json-simplify-42`
1026×	`rational.json-simplify-44`
962×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	539
1	164	539
2	254	539
3	368	427
4	506	427
5	710	427
6	1309	427
7	2731	427
8	3855	427
9	5642	427
0	4	4

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify81.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1336×	`rational.json-simplify-26`
1224×	`rational.json-simplify-2`
1198×	`rational.json-simplify-1`
920×	`rational.json-simplify-51`
834×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	39	77
2	57	77
3	81	61
4	111	61
5	160	61
6	292	61
7	727	61
8	1901	61
9	2699	61
10	3934	61
11	6315	61

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(+.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))

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

eval2.0ms (0%)

Compiler: Compiled 119 to 64 computations (46.2% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	3	6

Error

0.8b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
▶	4.6b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
▶	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

Status

Error

Program

▶

0.9b

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

▶

4.6b

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

▶

8.0b

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

Compiler

Compiled 82 to 57 computations (30.5% saved)

localize70.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	0.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
✓	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	7.9b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

Compiler

Compiled 85 to 40 computations (52.9% saved)

series19.0ms (0.1%)

Counts

4 → 80

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	normAngle	@	inf	(*.f32 (-.f32 1 u) normAngle)
2.0ms	n0_i	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
2.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
1.0ms	normAngle	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
1.0ms	u	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1672×	`rational.json-simplify-35`
1236×	`rational.json-1`
1236×	`rational.json-2`
1236×	`rational.json-4`
1236×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	114
1	140	108
2	296	108
3	656	108
4	1438	108
5	4149	108

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (sin.f32 normAngle) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1/2)))))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 1/2)) (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4)))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)))))

simplify281.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1586×	`rational.json-simplify-35`
1254×	`rational.json-simplify-2`
916×	`rational.json-simplify-46`
736×	`rational.json-simplify-41`
684×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	445	10347
1	1225	10071
2	3041	9951
3	6445	9895

Stop Event

1×	node limit

Counts

211 → 238

Calls

Call 1

Inputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i))) (+.f32 (.f32 1/120 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (+.f32 (.f32 -1/6 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 6))))))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
n0_i
(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle)))))))
(+.f32 (.f32 (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (pow.f32 normAngle 3)) (sin.f32 normAngle))) (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (pow.f32 normAngle 3))) (sin.f32 normAngle)))) (pow.f32 u 3)) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))))))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
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(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
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normAngle
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(.f32 -1 (.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(.f32 -1 (.f32 u normAngle))
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(+.f32 (.f32 -1 (.f32 u normAngle)) normAngle)
(*.f32 (sin.f32 normAngle) n0_i)
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle)))) (*.f32 (sin.f32 normAngle) n0_i))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle)))) (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 n0_i (*.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))))))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 u normAngle)))) (+.f32 (.f32 (sin.f32 normAngle) n0_i) (+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))) (.f32 1/6 (.f32 (cos.f32 normAngle) (.f32 n0_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))))))
(.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle)))
(.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle)))
(.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle)))
(.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle)))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3)))) (.f32 (-.f32 1 u) (*.f32 n0_i normAngle)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i (pow.f32 normAngle 5)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3)))) (.f32 (-.f32 1 u) (.f32 n0_i normAngle))))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i (pow.f32 normAngle 5)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i (pow.f32 normAngle 3)))) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (*.f32 n0_i (pow.f32 normAngle 7)))))))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 n1_i (*.f32 u normAngle)))
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(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 n1_i (*.f32 u normAngle)))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (.f32 n1_i (.f32 u normAngle))))
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(/.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) (.f32 (sin.f32 normAngle) 4))
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(/.f32 1/2 (/.f32 (sin.f32 normAngle) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2)))
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(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4)) (*.f32 (sin.f32 normAngle) 8))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4)) (*.f32 8 (sin.f32 normAngle)))
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(/.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1/2)) (/.f32 (sin.f32 normAngle) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1/2))))
(/.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (+.f32 (.f32 (.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))) 2) (.f32 (.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) 2)))
(/.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))) 1/2)
(/.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1/2) (.f32 (sin.f32 normAngle) 1/2))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (.f32 (sin.f32 normAngle) -2))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) (neg.f32 (.f32 (sin.f32 normAngle) 2)))
(/.f32 (.f32 2 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 4))) 16)
(/.f32 (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4))) (.f32 2 (*.f32 (sin.f32 normAngle) 8)))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4))) (+.f32 (.f32 8 (sin.f32 normAngle)) (*.f32 8 (sin.f32 normAngle))))
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4)) (sin.f32 normAngle)) 8)
(/.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))) -1)
(/.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (/.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle)) -1)
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4)) (neg.f32 (.f32 (sin.f32 normAngle) 4)))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (neg.f32 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))) (.f32 (sin.f32 normAngle) 2))
(/.f32 (+.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 4)) (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 4))) 1/2)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 4))) (.f32 2 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 4)))) 32)
(/.f32 (+.f32 (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (.f32 2 (.f32 2 (*.f32 (sin.f32 normAngle) -2))))
(/.f32 (+.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))) (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))) (.f32 2 (.f32 2 (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))
(/.f32 (+.f32 (/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4)) (sin.f32 normAngle)) (/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4)) (sin.f32 normAngle))) 16)
(/.f32 (+.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))) (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle)))) -2)
(/.f32 (+.f32 (/.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle)) (/.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle))) -2)
(/.f32 (+.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4)) (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 4))))
(/.f32 (+.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))) (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (+.f32 (neg.f32 (.f32 (sin.f32 normAngle) -2)) (neg.f32 (.f32 (sin.f32 normAngle) -2))))
(/.f32 (+.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))) (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))) (*.f32 (sin.f32 normAngle) 4))
(pow.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)
(neg.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle)))
(+.f32 (*.f32 normAngle (-.f32 1 u)) 0)
(+.f32 0 (*.f32 normAngle (-.f32 1 u)))
(+.f32 (PI.f32) (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)))
(+.f32 (.f32 (PI.f32) 1/2) (-.f32 (.f32 normAngle (-.f32 1 u)) (-.f32 (PI.f32) (*.f32 (PI.f32) 1/2))))
(+.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) (PI.f32))
(+.f32 -1 (-.f32 (*.f32 normAngle (-.f32 1 u)) -1))
(+.f32 (neg.f32 (PI.f32)) (+.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)))
(+.f32 (+.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) (neg.f32 (PI.f32)))
(+.f32 (.f32 normAngle (.f32 (-.f32 1 u) 1/2)) (.f32 normAngle (.f32 (-.f32 1 u) 1/2)))
(+.f32 (-.f32 (PI.f32) 1) (-.f32 (*.f32 normAngle (-.f32 1 u)) (-.f32 (PI.f32) 1)))
(+.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) -1) -1)
(+.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) (-.f32 (PI.f32) 1)) (-.f32 (PI.f32) 1))
(+.f32 (+.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) -1) (+.f32 1 (PI.f32)))
(+.f32 (-.f32 (.f32 normAngle (-.f32 1 u)) (-.f32 (PI.f32) (.f32 (PI.f32) 1/2))) (*.f32 (PI.f32) 1/2))
(+.f32 (-.f32 -1 (-.f32 (neg.f32 (PI.f32)) (*.f32 normAngle (-.f32 1 u)))) (-.f32 1 (PI.f32)))
(-.f32 (*.f32 normAngle (-.f32 1 u)) 0)
(-.f32 0 (neg.f32 (*.f32 normAngle (-.f32 1 u))))
(-.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 normAngle (-.f32 1 u))))
(-.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) (neg.f32 (PI.f32)))
(-.f32 (neg.f32 (PI.f32)) (-.f32 (neg.f32 (PI.f32)) (*.f32 normAngle (-.f32 1 u))))
(-.f32 (+.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) (PI.f32))
(-.f32 (-.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) (PI.f32)) (-.f32 (neg.f32 (PI.f32)) (PI.f32)))
(-.f32 (-.f32 (PI.f32) (neg.f32 (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32))))
(-.f32 (-.f32 (-.f32 (PI.f32) (neg.f32 (PI.f32))) (PI.f32)) (-.f32 (PI.f32) (*.f32 normAngle (-.f32 1 u))))
(-.f32 (-.f32 (neg.f32 (PI.f32)) (-.f32 (neg.f32 (PI.f32)) (PI.f32))) (-.f32 (PI.f32) (*.f32 normAngle (-.f32 1 u))))
(/.f32 (*.f32 normAngle (-.f32 1 u)) 1)
(/.f32 (*.f32 (-.f32 1 u) (+.f32 normAngle normAngle)) 2)
(/.f32 (.f32 normAngle (.f32 (-.f32 1 u) 4)) 4)
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u))) -1)
(/.f32 (.f32 2 (.f32 normAngle (*.f32 (-.f32 1 u) 4))) 8)
(/.f32 (.f32 2 (neg.f32 (.f32 normAngle (-.f32 1 u)))) -2)
(/.f32 (.f32 2 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) 4)))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) 4)))) (.f32 2 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) 4))))) 32)
(pow.f32 (*.f32 normAngle (-.f32 1 u)) 1)
(neg.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u))))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 1/2)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 1/2)))
(-.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 0)
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 1)
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) 2)
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i 4)) 4)
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 4))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i 4)))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 4)))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 4))))) 32)
(pow.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 1)
(+.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))
(+.f32 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 1/2)) (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 1/2)))
(-.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) 2)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 n1_i 4)) 4)
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 n1_i 4)))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4)))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))))) 32)
(pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)

Outputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i -1/6)) (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))) (pow.f32 normAngle 2)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (+.f32 (.f32 n0_i (.f32 (pow.f32 (-.f32 1 u) 3) -1/6)) (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))) (pow.f32 normAngle 2)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (pow.f32 normAngle 2)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (pow.f32 normAngle 2))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i 1/120)) (-.f32 (.f32 n1_i (.f32 (pow.f32 u 5) 1/120)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i -1/6)) (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))))))) (pow.f32 normAngle 4)) (+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i -1/6)) (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 1/120 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 5)) (.f32 n1_i (pow.f32 u 5)))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (+.f32 (.f32 n0_i (.f32 (pow.f32 (-.f32 1 u) 3) -1/6)) (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (pow.f32 normAngle 4))) (.f32 (+.f32 (.f32 n0_i (.f32 (pow.f32 (-.f32 1 u) 3) -1/6)) (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 1/120 (+.f32 (.f32 n1_i (pow.f32 u 5)) (.f32 n0_i (pow.f32 (-.f32 1 u) 5)))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))))))) (pow.f32 normAngle 4)))))
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n0_i
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normAngle
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(.f32 -1 (.f32 u normAngle))
(.f32 u (.f32 normAngle -1))
(*.f32 u (neg.f32 normAngle))
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(.f32 u (.f32 normAngle -1))
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(*.f32 (-.f32 1 u) normAngle)
(+.f32 (+.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (-.f32 1 u) normAngle)
(+.f32 (.f32 normAngle (.f32 (-.f32 1 u) 1/2)) (.f32 normAngle (.f32 (-.f32 1 u) 1/2)))
(+.f32 (.f32 (-.f32 1 u) (.f32 1/2 normAngle)) (.f32 (-.f32 1 u) (.f32 1/2 normAngle)))
(.f32 (.f32 (-.f32 1 u) 1/2) (+.f32 normAngle normAngle))
(.f32 normAngle (.f32 (-.f32 1 u) 1))
(.f32 1 (.f32 (-.f32 1 u) normAngle))
(+.f32 (-.f32 (PI.f32) 1) (-.f32 (*.f32 normAngle (-.f32 1 u)) (-.f32 (PI.f32) 1)))
(*.f32 (-.f32 1 u) normAngle)
(+.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) -1) -1)
(*.f32 (-.f32 1 u) normAngle)
(+.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) (-.f32 (PI.f32) 1)) (-.f32 (PI.f32) 1))
(*.f32 (-.f32 1 u) normAngle)
(+.f32 (+.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) -1) (+.f32 1 (PI.f32)))
(*.f32 (-.f32 1 u) normAngle)
(+.f32 (-.f32 (.f32 normAngle (-.f32 1 u)) (-.f32 (PI.f32) (.f32 (PI.f32) 1/2))) (*.f32 (PI.f32) 1/2))
(+.f32 (.f32 1/2 (PI.f32)) (-.f32 (.f32 (-.f32 1 u) normAngle) (-.f32 (PI.f32) (*.f32 1/2 (PI.f32)))))
(+.f32 (.f32 (-.f32 1 u) normAngle) (+.f32 (-.f32 (.f32 1/2 (PI.f32)) (PI.f32)) (*.f32 1/2 (PI.f32))))
(+.f32 (-.f32 -1 (-.f32 (neg.f32 (PI.f32)) (*.f32 normAngle (-.f32 1 u)))) (-.f32 1 (PI.f32)))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 (*.f32 normAngle (-.f32 1 u)) 0)
(*.f32 (-.f32 1 u) normAngle)
(-.f32 0 (neg.f32 (*.f32 normAngle (-.f32 1 u))))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 normAngle (-.f32 1 u))))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 (neg.f32 (PI.f32)) (-.f32 (neg.f32 (PI.f32)) (*.f32 normAngle (-.f32 1 u))))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 (+.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) (PI.f32))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 (-.f32 (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32)) (PI.f32)) (-.f32 (neg.f32 (PI.f32)) (PI.f32)))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 (-.f32 (PI.f32) (neg.f32 (PI.f32))) (-.f32 (PI.f32) (-.f32 (*.f32 normAngle (-.f32 1 u)) (PI.f32))))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 (-.f32 (-.f32 (PI.f32) (neg.f32 (PI.f32))) (PI.f32)) (-.f32 (PI.f32) (*.f32 normAngle (-.f32 1 u))))
(*.f32 (-.f32 1 u) normAngle)
(-.f32 (-.f32 (neg.f32 (PI.f32)) (-.f32 (neg.f32 (PI.f32)) (PI.f32))) (-.f32 (PI.f32) (*.f32 normAngle (-.f32 1 u))))
(*.f32 (-.f32 1 u) normAngle)
(/.f32 (*.f32 normAngle (-.f32 1 u)) 1)
(*.f32 (-.f32 1 u) normAngle)
(/.f32 (*.f32 (-.f32 1 u) (+.f32 normAngle normAngle)) 2)
(*.f32 (-.f32 1 u) normAngle)
(/.f32 (.f32 normAngle (.f32 (-.f32 1 u) 4)) 4)
(*.f32 (-.f32 1 u) normAngle)
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u))) -1)
(*.f32 (-.f32 1 u) normAngle)
(/.f32 (.f32 2 (.f32 normAngle (*.f32 (-.f32 1 u) 4))) 8)
(*.f32 (-.f32 1 u) normAngle)
(/.f32 (.f32 2 (neg.f32 (.f32 normAngle (-.f32 1 u)))) -2)
(*.f32 (-.f32 1 u) normAngle)
(/.f32 (.f32 2 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) 4)))) 16)
(*.f32 (-.f32 1 u) normAngle)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) 4)))) (.f32 2 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) 4))))) 32)
(*.f32 (-.f32 1 u) normAngle)
(pow.f32 (*.f32 normAngle (-.f32 1 u)) 1)
(*.f32 (-.f32 1 u) normAngle)
(neg.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u))))
(*.f32 (-.f32 1 u) normAngle)
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 0)
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(+.f32 0 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 1/2)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 1/2)))
(+.f32 (.f32 n0_i (.f32 1/2 (sin.f32 (.f32 (-.f32 1 u) normAngle)))) (.f32 n0_i (.f32 1/2 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (+.f32 (.f32 n0_i 1/2) (.f32 n0_i 1/2)))
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 n0_i 1))
(-.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 0)
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 1)
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) 2)
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i 4)) 4)
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 4))) 8)
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i 4)))) 16)
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 4)))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 4))))) 32)
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(pow.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 1)
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 u -1)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))))
(.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 0 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 1/2)) (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 1/2)))
(+.f32 (.f32 n1_i (.f32 1/2 (sin.f32 (.f32 u normAngle)))) (.f32 n1_i (.f32 1/2 (sin.f32 (.f32 u normAngle)))))
(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (.f32 n1_i 1/2) (.f32 n1_i 1/2)))
(.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n1_i 1))
(-.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) 2)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 n1_i 4)) 4)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))) 8)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 n1_i 4)))) 16)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4)))) (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))))) 32)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))

localize131.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.3b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))
✓	0.3b	(*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)
✓	12.9b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))

Compiler

Compiled 97 to 46 computations (52.6% saved)

series15.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
3.0ms	u	@	inf	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))
3.0ms	u	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
1.0ms	normAngle	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))
1.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
0.0ms	u	@	-inf	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1824×	`rational.json-1`
1824×	`rational.json-2`
1824×	`rational.json-4`
1824×	`rational.json-3`
1810×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	144	71
2	327	71
3	746	71
4	1734	71
5	5417	71

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Inputs

(*.f32 (/.f32 1 (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i))

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

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (sin.f32 normAngle) 2)) (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 (/.f32 1 n1_i) (sin.f32 (.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 -1 (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) (/.f32 n1_i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (.f32 (sin.f32 normAngle) 2) (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) (.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) (/.f32 n1_i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 4 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) (/.f32 n1_i 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (.f32 (.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) (/.f32 n1_i 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (.f32 (/.f32 4 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (.f32 (sin.f32 normAngle) 4) (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle u)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (-.f32 0 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (+.f32 (/.f32 4 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) (/.f32 4 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (+.f32 (.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) (/.f32 n1_i 2))) (.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) (/.f32 n1_i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (/.f32 (.f32 2 (.f32 (sin.f32 normAngle) 4)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 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Outputs

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(#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))) 4) (sin.f32 normAngle)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))) 1/2) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))) (*.f32 (sin.f32 normAngle) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u))))) (sin.f32 normAngle)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 1)))))

simplify213.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1582×	`rational.json-simplify-35`
992×	`rational.json-simplify-1`
780×	`rational.json-simplify-44`
734×	`rational.json-simplify-51`
688×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	8480
1	1689	8278
2	5351	8180
3	7736	8180

Stop Event

1×	node limit

Counts

276 → 266

Calls

Call 1

Inputs
(*.f32 n1_i u)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (.f32 n1_i u))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
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(/.f32 n0_i (*.f32 -1 (neg.f32 (sin.f32 normAngle))))
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) 1)
(/.f32 2 (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))
(/.f32 2 (/.f32 (*.f32 (sin.f32 normAngle) 2) (neg.f32 (neg.f32 n0_i))))
(/.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) 2)) 2)
(/.f32 4 (.f32 2 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i))))
(/.f32 4 (/.f32 4 (/.f32 n0_i (sin.f32 normAngle))))
(/.f32 4 (.f32 (.f32 2 (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i))) 1))
(/.f32 4 (*.f32 (/.f32 4 (/.f32 n0_i (sin.f32 normAngle))) 1))
(/.f32 4 (.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) 2))
(/.f32 4 (/.f32 (*.f32 (sin.f32 normAngle) 4) (neg.f32 (neg.f32 n0_i))))
(/.f32 (+.f32 n0_i n0_i) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 2 n0_i))
(/.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 n0_i)))
(/.f32 -1 (-.f32 0 (/.f32 (sin.f32 normAngle) n0_i)))
(/.f32 8 (+.f32 (/.f32 4 (/.f32 n0_i (sin.f32 normAngle))) (/.f32 4 (/.f32 n0_i (sin.f32 normAngle)))))
(/.f32 8 (+.f32 (.f32 2 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i))) (.f32 2 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))))
(/.f32 8 (/.f32 (.f32 2 (.f32 (sin.f32 normAngle) 4)) n0_i))
(/.f32 8 (/.f32 (.f32 2 (.f32 (sin.f32 normAngle) 4)) (neg.f32 (neg.f32 n0_i))))
(/.f32 -2 (-.f32 0 (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i))))
(/.f32 (*.f32 (/.f32 n0_i (sin.f32 normAngle)) 4) 4)
(/.f32 (.f32 n0_i 4) (.f32 (sin.f32 normAngle) 4))
(/.f32 1/2 (/.f32 (sin.f32 normAngle) (+.f32 n0_i n0_i)))
(/.f32 (neg.f32 n0_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 normAngle) n0_i) (*.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 (sin.f32 normAngle) n0_i)))
(/.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (.f32 (*.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 (sin.f32 normAngle) n0_i)) 2))
(/.f32 (.f32 2 (.f32 n0_i 4)) (.f32 2 (.f32 (sin.f32 normAngle) 4)))
(/.f32 (.f32 2 (.f32 n0_i 4)) (*.f32 8 (sin.f32 normAngle)))
(/.f32 (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4)) 8)
(/.f32 (.f32 2 (neg.f32 n0_i)) (.f32 2 (neg.f32 (sin.f32 normAngle))))
(/.f32 (/.f32 (/.f32 n0_i (sin.f32 normAngle)) 1/4) 4)
(/.f32 (/.f32 n0_i (*.f32 (sin.f32 normAngle) 2)) 1/2)
(/.f32 (/.f32 n0_i 2) (/.f32 (sin.f32 normAngle) 2))
(/.f32 (neg.f32 (+.f32 n0_i n0_i)) (*.f32 2 (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (+.f32 n0_i n0_i)) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(/.f32 (neg.f32 (neg.f32 n0_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4)) (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4))) 16)
(/.f32 (+.f32 (.f32 2 (neg.f32 n0_i)) (.f32 2 (neg.f32 n0_i))) (.f32 2 (.f32 2 (neg.f32 (sin.f32 normAngle)))))
(/.f32 (+.f32 (/.f32 (/.f32 n0_i (sin.f32 normAngle)) 1/4) (/.f32 (/.f32 n0_i (sin.f32 normAngle)) 1/4)) 8)
(/.f32 (+.f32 (neg.f32 (+.f32 n0_i n0_i)) (neg.f32 (+.f32 n0_i n0_i))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(/.f32 (+.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (neg.f32 n0_i))) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 (.f32 2 (.f32 n0_i 4)) (sin.f32 normAngle)) 8)
(/.f32 (/.f32 n0_i (neg.f32 (sin.f32 normAngle))) -1)
(/.f32 (/.f32 n0_i 1/2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 (neg.f32 (neg.f32 n0_i)) 2) (/.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 (neg.f32 (neg.f32 n0_i)) 1/2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 n0_i (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)) -1)
(/.f32 (/.f32 (neg.f32 (neg.f32 n0_i)) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (neg.f32 (.f32 n0_i 4)) (neg.f32 (.f32 (sin.f32 normAngle) 4)))
(/.f32 (neg.f32 (.f32 2 (neg.f32 n0_i))) (-.f32 0 (.f32 2 (neg.f32 (sin.f32 normAngle)))))
(/.f32 (neg.f32 (neg.f32 (+.f32 n0_i n0_i))) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (neg.f32 (neg.f32 (+.f32 n0_i n0_i))) (-.f32 0 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 n0_i))) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (/.f32 n0_i (sin.f32 normAngle)) 1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 0)
(+.f32 0 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (.f32 (sin.f32 normAngle) 2)) (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (.f32 (sin.f32 normAngle) 2)))
(-.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 0)
(/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))))
(/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u))))) 1))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(/.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 1)
(/.f32 2 (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u))))))
(/.f32 2 (+.f32 (/.f32 (sin.f32 normAngle) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (/.f32 (sin.f32 normAngle) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))))
(/.f32 2 (.f32 (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) 1))
(/.f32 2 (/.f32 (.f32 2 (neg.f32 (sin.f32 normAngle))) (neg.f32 (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))))
(/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2) (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))
(/.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) 2)) (/.f32 2 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 4 (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u))))))
(/.f32 4 (+.f32 (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))))
(/.f32 4 (.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) 1))
(/.f32 (+.f32 n0_i n0_i) (/.f32 (sin.f32 normAngle) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) 2)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) 2))) 2)
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (/.f32 1 n0_i))
(/.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) (*.f32 (sin.f32 normAngle) 2))
(/.f32 8 (+.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))))
(/.f32 8 (/.f32 (.f32 2 (.f32 (sin.f32 normAngle) 4)) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4) (*.f32 4 (/.f32 (sin.f32 normAngle) n0_i)))
(/.f32 (.f32 n0_i 4) (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(/.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) 4)) 4)
(/.f32 (neg.f32 n0_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 (.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) 4) (.f32 (sin.f32 normAngle) 4))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4)) (.f32 8 (/.f32 (sin.f32 normAngle) n0_i)))
(/.f32 (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4))) 8)
(/.f32 (/.f32 (/.f32 n0_i (sin.f32 normAngle)) 1/4) (/.f32 4 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (*.f32 (sin.f32 normAngle) 2)) 1/2)
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) 2) (/.f32 (sin.f32 normAngle) (+.f32 n0_i n0_i)))
(/.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) 2) (/.f32 (sin.f32 normAngle) 2))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u)))) (-.f32 0 (/.f32 (sin.f32 normAngle) n0_i)))
(/.f32 (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4))) (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4)))) 16)
(/.f32 (+.f32 (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))) (*.f32 2 (neg.f32 (sin.f32 normAngle))))
(/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 1/2) (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4) (/.f32 (sin.f32 normAngle) n0_i)) 4)
(/.f32 (/.f32 (.f32 2 (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) 4)) (/.f32 (sin.f32 normAngle) n0_i)) 8)
(/.f32 (/.f32 (.f32 (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))) 4) (sin.f32 normAngle)) 4)
(/.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) 1/2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (/.f32 (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (sin.f32 normAngle)) -1)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(/.f32 (neg.f32 (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))) (sin.f32 normAngle))
(pow.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 1)

Outputs
(*.f32 n1_i u)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 n1_i (.f32 u -1/6))) (pow.f32 normAngle 2)))
(+.f32 (.f32 n1_i u) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (*.f32 n1_i u))) (pow.f32 normAngle 2)))
(+.f32 (.f32 n1_i u) (.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 2)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 5) 1/120)) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 n1_i (.f32 u -1/6)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 n1_i (.f32 u -1/6))) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 1/120 n1_i)) (+.f32 (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4))))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 2))) (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 1/120 n1_i)) (+.f32 (.f32 -1/6 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (.f32 n1_i u))))
(+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 n1_i (.f32 u -1/6))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 7) -1/5040)) (+.f32 (.f32 n1_i (.f32 u -1/5040)) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 5) 1/120)) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 n1_i (.f32 u -1/6)))) (.f32 n1_i (.f32 u 1/120))))) (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 n1_i (.f32 u -1/6))) 1/120)))) (pow.f32 normAngle 6)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 5) 1/120)) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 n1_i (.f32 u -1/6)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4)))))
(+.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 1/120 n1_i)) (+.f32 (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4))) (.f32 (-.f32 (.f32 (pow.f32 u 7) (.f32 -1/5040 n1_i)) (+.f32 (.f32 n1_i (.f32 u -1/5040)) (+.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 u 5) (.f32 1/120 n1_i)) (+.f32 (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u)))) (.f32 n1_i (.f32 u 1/120))))) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) 1/120)))) (pow.f32 normAngle 6))))
(+.f32 (.f32 n1_i u) (+.f32 (+.f32 (.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 2)) (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 1/120 n1_i)) (+.f32 (.f32 -1/6 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4))) (.f32 (-.f32 (.f32 (pow.f32 u 7) (.f32 -1/5040 n1_i)) (+.f32 (.f32 n1_i (.f32 u -1/5040)) (+.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 u 5) (.f32 1/120 n1_i)) (+.f32 (.f32 -1/6 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 n1_i (.f32 u 1/120))))) (.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 1/120)))) (pow.f32 normAngle 6))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 (pow.f32 u 7) (.f32 -1/5040 n1_i)) (+.f32 (.f32 n1_i (.f32 u -1/5040)) (+.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 u 5) (.f32 1/120 n1_i)) (+.f32 (.f32 -1/6 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 n1_i (.f32 u 1/120))))) (.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 1/120)))) (pow.f32 normAngle 6)) (+.f32 (.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) (pow.f32 normAngle 2)) (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 1/120 n1_i)) (+.f32 (.f32 -1/6 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4)))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
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n0_i
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(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 2 (.f32 (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) 1))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 2 (/.f32 (.f32 2 (neg.f32 (sin.f32 normAngle))) (neg.f32 (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2) (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) 2)) (/.f32 2 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 4 (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u))))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 4 (+.f32 (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 4 (.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) 1))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (+.f32 n0_i n0_i) (/.f32 (sin.f32 normAngle) (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) 2)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) 2))) 2)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (/.f32 1 n0_i))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) (*.f32 (sin.f32 normAngle) 2))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 8 (+.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 8 (/.f32 (.f32 2 (.f32 (sin.f32 normAngle) 4)) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4) (*.f32 4 (/.f32 (sin.f32 normAngle) n0_i)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 n0_i 4) (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) 4)) 4)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (neg.f32 n0_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) 4) (.f32 (sin.f32 normAngle) 4))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4)) (.f32 8 (/.f32 (sin.f32 normAngle) n0_i)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4))) 8)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (/.f32 n0_i (sin.f32 normAngle)) 1/4) (/.f32 4 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (*.f32 (sin.f32 normAngle) 2)) 1/2)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) 2) (/.f32 (sin.f32 normAngle) (+.f32 n0_i n0_i)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) 2) (/.f32 (sin.f32 normAngle) 2))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u)))) (-.f32 0 (/.f32 (sin.f32 normAngle) n0_i)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (neg.f32 (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4))) (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4)))) 16)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (+.f32 (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))) (*.f32 2 (neg.f32 (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 1/2) (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4) (/.f32 (sin.f32 normAngle) n0_i)) 4)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (.f32 2 (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) 4)) (/.f32 (sin.f32 normAngle) n0_i)) 8)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (.f32 (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))) 4) (sin.f32 normAngle)) 4)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) 1/2) (*.f32 (sin.f32 normAngle) 2))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (/.f32 (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u))))) (sin.f32 normAngle)) -1)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(/.f32 (neg.f32 (neg.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))
(pow.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 1)
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 1 u))))

localize112.0ms (0.4%)

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)
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.7b	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series7.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
1.0ms	normAngle	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
0.0ms	normAngle	@	inf	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
0.0ms	normAngle	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1496×	`rational.json-1`
1496×	`rational.json-2`
1496×	`rational.json-4`
1496×	`rational.json-3`
1488×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	99
1	127	81
2	280	81
3	644	81
4	1509	81
5	4875	81

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 1/2 (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle u)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (*.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 4 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 (*.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 normAngle u)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 (/.f32 4 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 2 (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) 2) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 2 (sin.f32 (*.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 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(sin.f32 (*.f32 normAngle (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1/2 (sin.f32 normAngle)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 n0_i) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (*.f32 n0_i 4))) (*.f32 2 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (*.f32 n0_i 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) 2) (*.f32 (sin.f32 normAngle) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n0_i 1/2) (/.f32 2 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 n0_i 4) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 (*.f32 n0_i 4)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) (sin.f32 normAngle)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 (sin.f32 normAngle) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) 1/2) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 1)))))

simplify223.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1282×	`rational.json-simplify-2`
1210×	`rational.json-simplify-35`
980×	`rational.json-simplify-41`
972×	`rational.json-simplify-1`
650×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	458	8179
1	1430	8025
2	4138	7983
3	6489	7983

Stop Event

1×	node limit

Counts

227 → 246

Calls

Call 1

Inputs
u
(+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)
(+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u))
(+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))) (+.f32 (.f32 -1/5040 u) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 -1/5040 (/.f32 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
1
(+.f32 1 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 1 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))) (.f32 -1/2 (*.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))))
(+.f32 1 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u normAngle)) (sin.f32 normAngle))) (+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle)) (sin.f32 normAngle))
(-.f32 1 u)
(-.f32 (+.f32 1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (*.f32 -1/6 (-.f32 1 u))) (pow.f32 normAngle 2))) u)
(-.f32 (+.f32 1 (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) (pow.f32 normAngle 2)) (.f32 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u)))) (*.f32 1/120 (-.f32 1 u)))) (pow.f32 normAngle 4)))) u)
(-.f32 (+.f32 1 (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u)))) (.f32 1/120 (-.f32 1 u))))) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u)))) (.f32 -1/5040 (-.f32 1 u))))) (pow.f32 normAngle 6)) (.f32 (-.f32 (.f32 1/120 (pow.f32 (-.f32 1 u) 5)) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u)))) (*.f32 1/120 (-.f32 1 u)))) (pow.f32 normAngle 4))))) u)
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
n0_i
(+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle)))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3)))) (sin.f32 normAngle))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (*.f32 n0_i normAngle))) (sin.f32 normAngle))))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i)) (+.f32 (.f32 -1/5040 (.f32 (-.f32 1 u) n0_i)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 6)))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(+.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) 0)
(+.f32 0 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 1/2 (sin.f32 normAngle))) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 1/2 (sin.f32 normAngle))))
(-.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) 0)
(/.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))
(/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (*.f32 normAngle u)) 2)) 2))
(/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 normAngle u))))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) 1)
(/.f32 2 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u)))))
(/.f32 4 (/.f32 4 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(/.f32 4 (.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 normAngle u)))) 2))
(/.f32 4 (.f32 (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))) 1))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 2 (sin.f32 normAngle))) 2)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 2 (sin.f32 (*.f32 normAngle u))))
(/.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 (sin.f32 (*.f32 normAngle u)))))
(/.f32 -1 (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))
(/.f32 8 (+.f32 (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))) (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))))
(/.f32 8 (/.f32 (.f32 (sin.f32 normAngle) 8) (sin.f32 (.f32 normAngle u))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) 4) 4)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) 4) (*.f32 (sin.f32 normAngle) 4))
(/.f32 -2 (neg.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u))))))
(/.f32 1/2 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (.f32 normAngle u)) 2)))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))))
(/.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u)))) (.f32 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))) 2))
(/.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) 4)) 8)
(/.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 normAngle u)))) (*.f32 (sin.f32 normAngle) -2))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) 4)) (.f32 (sin.f32 normAngle) 8))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) 4)) (.f32 8 (sin.f32 normAngle)))
(/.f32 (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))) (.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u)))) (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u))))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 1/2 (sin.f32 normAngle))) 1/2)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) 1/2) (*.f32 (sin.f32 normAngle) 1/2))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2)) (*.f32 (sin.f32 normAngle) -2))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2)) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) 4)) (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) 4))) 16)
(/.f32 (+.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 normAngle u)))) (.f32 2 (neg.f32 (sin.f32 (.f32 normAngle u))))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (+.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2)) (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(/.f32 (/.f32 (.f32 2 (.f32 (sin.f32 (*.f32 normAngle u)) 4)) (sin.f32 normAngle)) 8)
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle))) -1)
(/.f32 (/.f32 (sin.f32 (.f32 normAngle u)) 1/2) (.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) -1)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 4)) (neg.f32 (*.f32 (sin.f32 normAngle) 4)))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (sin.f32 (.f32 normAngle u))))) (neg.f32 (*.f32 (sin.f32 normAngle) -2)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2))) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2))) (neg.f32 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))
(pow.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) 1)
(neg.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 0)
(+.f32 0 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 1/2 (sin.f32 normAngle))) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 1/2 (sin.f32 normAngle))))
(-.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 0)
(/.f32 1 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 1 (.f32 (/.f32 (.f32 (sin.f32 normAngle) 1/2) (sin.f32 (*.f32 normAngle (-.f32 1 u)))) 2))
(/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 1)
(/.f32 2 (/.f32 2 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(/.f32 4 (/.f32 4 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(/.f32 4 (.f32 (/.f32 2 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 2))
(/.f32 4 (.f32 (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) 1))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 2 (sin.f32 normAngle))) 2)
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 2 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 -1 (/.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u))))))
(/.f32 -1 (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))))
(/.f32 8 (+.f32 (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))))
(/.f32 8 (/.f32 (.f32 (sin.f32 normAngle) 8) (sin.f32 (.f32 normAngle (-.f32 1 u)))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 4) 4)
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4) (*.f32 (sin.f32 normAngle) 4))
(/.f32 -2 (neg.f32 (/.f32 2 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))))
(/.f32 1/2 (/.f32 (.f32 (sin.f32 normAngle) 1/2) (sin.f32 (.f32 normAngle (-.f32 1 u)))))
(/.f32 (sin.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u)))) (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u)))) (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))))
(/.f32 (/.f32 2 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (.f32 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u)))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))) 2))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4)) (.f32 (sin.f32 normAngle) 8))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4)) (.f32 8 (sin.f32 normAngle)))
(/.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 4)) 8)
(/.f32 (.f32 2 (sin.f32 (neg.f32 (.f32 normAngle (-.f32 1 u))))) (*.f32 (sin.f32 normAngle) -2))
(/.f32 (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (.f32 (/.f32 2 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (/.f32 2 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 1/2 (sin.f32 normAngle))) 1/2)
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 1/2) (*.f32 (sin.f32 normAngle) 1/2))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2)) (*.f32 (sin.f32 normAngle) -2))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2)) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 4)) (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 4))) 16)
(/.f32 (+.f32 (.f32 2 (sin.f32 (neg.f32 (.f32 normAngle (-.f32 1 u))))) (.f32 2 (sin.f32 (neg.f32 (.f32 normAngle (-.f32 1 u)))))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (+.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2)) (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(/.f32 (/.f32 (.f32 2 (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) 4)) (sin.f32 normAngle)) 8)
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (neg.f32 (sin.f32 normAngle))) -1)
(/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 1/2) (.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (/.f32 (sin.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u)))) (sin.f32 normAngle)) -1)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4)) (neg.f32 (*.f32 (sin.f32 normAngle) 4)))
(/.f32 (neg.f32 (.f32 2 (sin.f32 (neg.f32 (.f32 normAngle (-.f32 1 u)))))) (neg.f32 (*.f32 (sin.f32 normAngle) -2)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2))) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2))) (neg.f32 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))
(pow.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 1)
(neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (sin.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u)))) (sin.f32 normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))))
(-.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 0)
(/.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u)))) n0_i))
(/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i)))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (/.f32 1 n0_i))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 1)
(/.f32 2 (/.f32 (/.f32 2 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) n0_i))
(/.f32 2 (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)))
(/.f32 4 (/.f32 (/.f32 4 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) n0_i))
(/.f32 4 (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 2 (sin.f32 normAngle))) (/.f32 2 n0_i))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 2 (/.f32 n0_i (sin.f32 normAngle)))) 2)
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2) (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))
(/.f32 (+.f32 n0_i n0_i) (/.f32 2 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (sin.f32 normAngle))
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 8 (/.f32 (.f32 (sin.f32 normAngle) 8) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 4) (/.f32 4 n0_i))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (*.f32 n0_i 4)) 4)
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4) (*.f32 4 (/.f32 (sin.f32 normAngle) n0_i)))
(/.f32 (.f32 n0_i 4) (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(/.f32 (sin.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u)))) (/.f32 (neg.f32 (sin.f32 normAngle)) n0_i))
(/.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (.f32 n0_i 4))) 8)
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (.f32 2 (.f32 n0_i 4)) (.f32 8 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))))
(/.f32 (.f32 n0_i 1/2) (/.f32 (.f32 (sin.f32 normAngle) 1/2) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1/2 (sin.f32 normAngle)))) 1/2)
(/.f32 (neg.f32 n0_i) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (.f32 n0_i 4))) (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (.f32 n0_i 4)))) 16)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 2) (*.f32 (sin.f32 normAngle) 1/2))
(/.f32 (/.f32 n0_i 1/2) (/.f32 2 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(/.f32 (/.f32 (.f32 n0_i 4) (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))) 4)
(/.f32 (/.f32 (.f32 2 (.f32 n0_i 4)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))) 8)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) (sin.f32 normAngle)) 2)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 1/2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i)) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 1)

Outputs
u
(+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)
(+.f32 u (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)) (pow.f32 normAngle 2)))
(+.f32 u (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2)))
(+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u))
(+.f32 (+.f32 u (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 u -1/6)) (pow.f32 normAngle 2))) (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6))))) (pow.f32 normAngle 4)))
(+.f32 (+.f32 u (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2))) (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4)))
(+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))) (+.f32 (.f32 -1/5040 u) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)))
(+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 u -1/6))))) (pow.f32 normAngle 4)) (+.f32 (+.f32 u (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 u -1/6)) (pow.f32 normAngle 2))) (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 u -1/6)) 1/120) (+.f32 (.f32 u -1/5040) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6))))))))) (pow.f32 normAngle 6))))
(+.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2)) (+.f32 (+.f32 u (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4))) (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 1/120) (+.f32 (.f32 u -1/5040) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))))) (pow.f32 normAngle 6))))
(+.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 1/120) (+.f32 (.f32 u -1/5040) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))))))) (pow.f32 normAngle 6)) (+.f32 u (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4)))))
(+.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2)) (+.f32 u (+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4)) (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))))) (+.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) 1/120) (*.f32 u -1/5040)))) (pow.f32 normAngle 6)))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
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(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
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1
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(-.f32 1 u)
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n0_i
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(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 1)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 2 (/.f32 (/.f32 2 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) n0_i))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 2 (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 4 (/.f32 (/.f32 4 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) n0_i))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 4 (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 2 (sin.f32 normAngle))) (/.f32 2 n0_i))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 2 (/.f32 n0_i (sin.f32 normAngle)))) 2)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 2) (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (+.f32 n0_i n0_i) (/.f32 2 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 8 (/.f32 (.f32 (sin.f32 normAngle) 8) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) 4) (/.f32 4 n0_i))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (*.f32 n0_i 4)) 4)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) 4) (*.f32 4 (/.f32 (sin.f32 normAngle) n0_i)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i 4) (/.f32 4 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (sin.f32 (neg.f32 (*.f32 normAngle (-.f32 1 u)))) (/.f32 (neg.f32 (sin.f32 normAngle)) n0_i))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (.f32 n0_i 4))) 8)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) (*.f32 (sin.f32 normAngle) 2))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 2 (.f32 n0_i 4)) (.f32 8 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i 1/2) (/.f32 (.f32 (sin.f32 normAngle) 1/2) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1/2 (sin.f32 normAngle)))) 1/2)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (neg.f32 n0_i) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (.f32 n0_i 4))) (.f32 2 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (.f32 n0_i 4)))) 16)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 2) (*.f32 (sin.f32 normAngle) 1/2))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (/.f32 n0_i 1/2) (/.f32 2 (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 n0_i 4) (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))) 4)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 2 (.f32 n0_i 4)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u))))) 8)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) (sin.f32 normAngle)) 2)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 1/2) (*.f32 (sin.f32 normAngle) 2))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i)) (neg.f32 (sin.f32 normAngle)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))
(pow.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 1)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))

eval618.0ms (2.4%)

Compiler: Compiled 30691 to 16809 computations (45.2% saved)

prune346.0ms (1.4%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	827	21	848
Fresh	0	0	0
Picked	1	0	1
Done	1	1	2
Total	829	22	851

Error

0.0b

Counts

851 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	15.9b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	23.2b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	8.0b	(/.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
	4.6b	(+.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
	0.9b	(+.f32 (/.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u)))) n0_i)) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
	0.9b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
	0.9b	(+.f32 (.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
	1.0b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (/.f32 (sin.f32 (.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i)))
	1.0b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (/.f32 4 (/.f32 4 (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))
▶	1.0b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	0.6b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
▶	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
▶	6.5b	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
	1.3b	(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (.f32 n0_i normAngle) (neg.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
▶	8.8b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n1_i (.f32 (pow.f32 (.f32 u normAngle) 3) -1/6)))))
✓	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
	12.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
▶	20.8b	(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
	16.4b	n0_i

Compiler

Compiled 925 to 635 computations (31.4% saved)

localize26.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 n1_i u)
✓	0.1b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
✓	0.1b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

3 → 30

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	n1_i	@	0	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
0.0ms	u	@	0	(*.f32 (-.f32 1 u) n0_i)
0.0ms	n1_i	@	inf	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
0.0ms	n0_i	@	inf	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
0.0ms	n0_i	@	inf	(*.f32 (-.f32 1 u) n0_i)

rewrite243.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`rational.json-simplify-1`
1382×	`exponential.json-3`
1382×	`rational.json-1`
1382×	`rational.json-2`
1382×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	75	45
2	160	45
3	306	45
4	573	45
5	1285	45
6	2931	45
7	5082	45
8	6317	45
9	7421	45
10	7501	45
11	7593	45
12	7682	45

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

Inputs
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(*.f32 n1_i u)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 1 u) n0_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 1 u) (*.f32 n0_i 1/2)) (*.f32 (-.f32 1 u) (*.f32 n0_i 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (-.f32 1 u) n0_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 u) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 u) (*.f32 n0_i 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (-.f32 1 u) n0_i) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (-.f32 1 u) n0_i) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (-.f32 1 u) n0_i) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (-.f32 1 u) n0_i) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (-.f32 1 u) n0_i) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (-.f32 1 u) n0_i) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u n1_i) 1/2) (*.f32 (*.f32 u n1_i) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 u n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u n1_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u n1_i) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (*.f32 n1_i 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u n1_i) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 u n1_i) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 u n1_i) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 u n1_i) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 u n1_i) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u n1_i) 1)))))

simplify474.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

4974×	`rational.json-simplify-51`
2562×	`rational.json-simplify-35`
1522×	`rational.json-simplify-2`
690×	`rational.json-simplify-43`
604×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	109	1306
1	270	1254
2	683	1254
3	2056	1254
4	3256	1254
5	3663	1254
6	3877	1254
7	4030	1254
8	4167	1254
9	4290	1254
10	4642	1254
11	4810	1254
12	4854	1254
13	4874	1254
14	4898	1254
15	4901	1254
16	4904	1254
17	5029	1254
18	5152	1254

Stop Event

1×	node limit

Counts

76 → 74

Calls

Call 1

Inputs
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(.f32 -1 (.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n1_i u)
(*.f32 n1_i u)
n0_i
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i)))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(*.f32 n1_i u)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 (-.f32 1 u) n0_i) 0)
(+.f32 0 (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) (.f32 n0_i 1/2)) (.f32 (-.f32 1 u) (.f32 n0_i 1/2)))
(-.f32 (*.f32 (-.f32 1 u) n0_i) 0)
(/.f32 (*.f32 (-.f32 1 u) n0_i) 1)
(/.f32 (*.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) 2)
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i 4)) 4)
(/.f32 (.f32 (.f32 (-.f32 1 u) n0_i) 8) 8)
(/.f32 (.f32 2 (.f32 (*.f32 (-.f32 1 u) n0_i) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (-.f32 1 u) n0_i) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (-.f32 1 u) n0_i) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (-.f32 1 u) n0_i) 8))))) 128)
(pow.f32 (*.f32 (-.f32 1 u) n0_i) 1)
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 0)
(.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 1)
(.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 1/2))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 2) 1/2)
(.f32 4 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 4) 1/4)
(.f32 1/2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 2))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 1/2) 2)
(.f32 1/4 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 4))
(.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4) 4)
(/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 1)
(/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 2) 2)
(/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4) 4)
(/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8) 8)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8))))) 128)
(pow.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 1)
(+.f32 (*.f32 u n1_i) 0)
(+.f32 0 (*.f32 u n1_i))
(+.f32 (.f32 (.f32 u n1_i) 1/2) (.f32 (.f32 u n1_i) 1/2))
(-.f32 (*.f32 u n1_i) 0)
(/.f32 (*.f32 u n1_i) 1)
(/.f32 (.f32 (.f32 u n1_i) 2) 2)
(/.f32 (.f32 u (.f32 n1_i 4)) 4)
(/.f32 (.f32 (.f32 u n1_i) 8) 8)
(/.f32 (.f32 2 (.f32 (*.f32 u n1_i) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 u n1_i) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 u n1_i) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 u n1_i) 8))))) 128)
(pow.f32 (*.f32 u n1_i) 1)

Outputs
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(.f32 -1 (.f32 u n0_i))
(.f32 -1 (.f32 n0_i u))
(neg.f32 (*.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(.f32 -1 (.f32 u n0_i))
(.f32 -1 (.f32 n0_i u))
(neg.f32 (*.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(*.f32 n1_i u)
(*.f32 u n1_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
n0_i
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 n0_i -1))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 n0_i -1))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 n0_i -1))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)
(.f32 u (+.f32 n1_i (.f32 n0_i -1)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 n0_i -1))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 n0_i -1))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 n0_i -1))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i)))
(.f32 -1 (.f32 u (+.f32 n0_i (*.f32 -1 n1_i))))
(*.f32 u (neg.f32 (+.f32 n0_i (neg.f32 n1_i))))
(*.f32 (+.f32 n0_i (neg.f32 n1_i)) (neg.f32 u))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 u (+.f32 n0_i (*.f32 -1 n1_i)))))
(+.f32 n0_i (*.f32 u (neg.f32 (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 n0_i (*.f32 (+.f32 n0_i (neg.f32 n1_i)) (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 u (+.f32 n0_i (*.f32 -1 n1_i)))))
(+.f32 n0_i (*.f32 u (neg.f32 (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 n0_i (*.f32 (+.f32 n0_i (neg.f32 n1_i)) (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 u (+.f32 n0_i (*.f32 -1 n1_i)))))
(+.f32 n0_i (*.f32 u (neg.f32 (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 n0_i (*.f32 (+.f32 n0_i (neg.f32 n1_i)) (neg.f32 u)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(+.f32 (*.f32 (-.f32 1 u) n0_i) 0)
(*.f32 n0_i (-.f32 1 u))
(+.f32 0 (*.f32 (-.f32 1 u) n0_i))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 (-.f32 1 u) (.f32 n0_i 1/2)) (.f32 (-.f32 1 u) (.f32 n0_i 1/2)))
(*.f32 n0_i (-.f32 1 u))
(-.f32 (*.f32 (-.f32 1 u) n0_i) 0)
(*.f32 n0_i (-.f32 1 u))
(/.f32 (*.f32 (-.f32 1 u) n0_i) 1)
(*.f32 n0_i (-.f32 1 u))
(/.f32 (*.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) 2)
(*.f32 n0_i (-.f32 1 u))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i 4)) 4)
(*.f32 n0_i (-.f32 1 u))
(/.f32 (.f32 (.f32 (-.f32 1 u) n0_i) 8) 8)
(*.f32 n0_i (-.f32 1 u))
(/.f32 (.f32 2 (.f32 (*.f32 (-.f32 1 u) n0_i) 8)) 16)
(*.f32 n0_i (-.f32 1 u))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (-.f32 1 u) n0_i) 8))) 32)
(*.f32 n0_i (-.f32 1 u))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (-.f32 1 u) n0_i) 8)))) 64)
(*.f32 n0_i (-.f32 1 u))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (-.f32 1 u) n0_i) 8))))) 128)
(*.f32 n0_i (-.f32 1 u))
(pow.f32 (*.f32 (-.f32 1 u) n0_i) 1)
(*.f32 n0_i (-.f32 1 u))
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 0)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 1)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 1/2))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 2) 1/2)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 4 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 4) 1/4)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 1/2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 2))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 1/2) 2)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 1/4 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 4))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4) 4)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 1)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 2) 2)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 4) 4)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8) 8)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 8)) 16)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8))) 32)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 8)))) 64)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 8))))) 128)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(pow.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 1)
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u n1_i))
(+.f32 (*.f32 u n1_i) 0)
(*.f32 u n1_i)
(+.f32 0 (*.f32 u n1_i))
(*.f32 u n1_i)
(+.f32 (.f32 (.f32 u n1_i) 1/2) (.f32 (.f32 u n1_i) 1/2))
(*.f32 u n1_i)
(-.f32 (*.f32 u n1_i) 0)
(*.f32 u n1_i)
(/.f32 (*.f32 u n1_i) 1)
(*.f32 u n1_i)
(/.f32 (.f32 (.f32 u n1_i) 2) 2)
(*.f32 u n1_i)
(/.f32 (.f32 u (.f32 n1_i 4)) 4)
(*.f32 u n1_i)
(/.f32 (.f32 (.f32 u n1_i) 8) 8)
(*.f32 u n1_i)
(/.f32 (.f32 2 (.f32 (*.f32 u n1_i) 8)) 16)
(*.f32 u n1_i)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 u n1_i) 8))) 32)
(*.f32 u n1_i)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 u n1_i) 8)))) 64)
(*.f32 u n1_i)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 u n1_i) 8))))) 128)
(*.f32 u n1_i)
(pow.f32 (*.f32 u n1_i) 1)
(*.f32 u n1_i)

localize29.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 u normAngle)
✓	0.0b	(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
✓	1.6b	(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))

Compiler

Compiled 32 to 9 computations (71.9% saved)

series3.0ms (0%)

Counts

3 → 44

Calls

21 calls:

Time	Variable		Point	Expression
0.0ms	u	@	inf	(*.f32 u normAngle)
0.0ms	u	@	0	(*.f32 u normAngle)
0.0ms	normAngle	@	0	(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
0.0ms	normAngle	@	-inf	(*.f32 u normAngle)
0.0ms	normAngle	@	inf	(*.f32 u normAngle)

rewrite102.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1948×	`rational.json-1`
1948×	`rational.json-2`
1948×	`rational.json-4`
1948×	`rational.json-3`
694×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	79	55
2	198	55
3	482	55
4	1242	55
5	5062	55

Stop Event

1×	node limit

Counts

3 → 222

Calls

Call 1

Inputs
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(*.f32 u normAngle)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1/2 (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (*.f32 2 (/.f32 1 (sin.f32 normAngle))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 2 (sin.f32 normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 normAngle) (/.f32 (/.f32 1 (sin.f32 (*.f32 u normAngle))) (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 2) (/.f32 1/2 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 2 (sin.f32 normAngle))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 4) (/.f32 1 (*.f32 (sin.f32 normAngle) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 4) (*.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 4) (*.f32 (/.f32 1 (*.f32 (sin.f32 normAngle) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 4) (*.f32 1/4 (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 -1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (*.f32 (/.f32 -1 (sin.f32 normAngle)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (*.f32 -1 (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 1 (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 (neg.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 (neg.f32 normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 2) (neg.f32 (*.f32 (sin.f32 normAngle) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) (/.f32 1 (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) (/.f32 1/2 (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 8) (/.f32 1 (*.f32 (sin.f32 normAngle) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 (*.f32 u normAngle))) (/.f32 (*.f32 (sin.f32 normAngle) 2) (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) -2) (/.f32 1/2 (sin.f32 (neg.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) -2) (/.f32 1 (*.f32 (sin.f32 normAngle) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) -2) (/.f32 1 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 (neg.f32 normAngle))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (sin.f32 (*.f32 u normAngle))) (/.f32 (*.f32 (sin.f32 normAngle) 2) (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (sin.f32 normAngle)) (*.f32 (sin.f32 (*.f32 u normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1/2 (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) (/.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 1/2) (/.f32 2 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (sin.f32 normAngle) 4)) (*.f32 (sin.f32 (*.f32 u normAngle)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (sin.f32 normAngle)) (sin.f32 (*.f32 u (neg.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 (neg.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 (neg.f32 normAngle))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 1 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (/.f32 1 n1_i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 1/2 (/.f32 2 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) n1_i) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 2) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 2) (+.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 u 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(/.f32 1 (/.f32 2 n1_i)) (*.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 2) (/.f32 2 n1_i)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (/.f32 2 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 4) (/.f32 2 n1_i)) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) (/.f32 2 n1_i)) (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 4 (/.f32 2 n1_i)) (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) -2) (/.f32 2 n1_i)) (sin.f32 (neg.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) 4) (/.f32 2 n1_i)) (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 2 (sin.f32 normAngle)))) (/.f32 2 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 2) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 4) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 4 (sin.f32 (*.f32 u (neg.f32 normAngle)))) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n1_i (/.f32 1 (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n1_i 1/2) (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n1_i (sin.f32 (neg.f32 normAngle))) (/.f32 -1 (sin.f32 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 n1_i n1_i)) (-.f32 0 (*.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 n1_i (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u normAngle) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u normAngle) (+.f32 (neg.f32 (PI.f32)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u normAngle) (-.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (PI.f32) (-.f32 (*.f32 u normAngle) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 u normAngle) (PI.f32)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (*.f32 u (neg.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (PI.f32)) (+.f32 (*.f32 u normAngle) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 u normAngle) (PI.f32)) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (neg.f32 (PI.f32))) (-.f32 1 (-.f32 (PI.f32) (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 u normAngle) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (*.f32 u (neg.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 u normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (*.f32 u normAngle) (PI.f32)) (neg.f32 (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (neg.f32 (PI.f32)) (-.f32 (*.f32 u (neg.f32 normAngle)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 u normAngle) (PI.f32)) (PI.f32))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (-.f32 (*.f32 u normAngle) (PI.f32)) (PI.f32)) (-.f32 (neg.f32 (PI.f32)) (PI.f32)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u normAngle) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (+.f32 normAngle normAngle)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (*.f32 u 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (neg.f32 normAngle)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 normAngle (*.f32 u 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 normAngle (*.f32 u 4))) (*.f32 2 (*.f32 normAngle (*.f32 u 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u normAngle) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 u (neg.f32 normAngle)))))))

simplify145.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1792×	`rational.json-simplify-35`
1022×	`rational.json-simplify-51`
774×	`rational.json-simplify-49`
758×	`rational.json-simplify-61`
730×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	574	8976
1	1904	8712
2	6156	8592

Stop Event

1×	node limit

Counts

266 → 323

Calls

Call 1

Inputs
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 -1/5040 (/.f32 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
u
(+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)
(+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u))
(+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))) (+.f32 (.f32 -1/5040 u) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/5040 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(*.f32 n1_i u)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (.f32 n1_i u))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 0)
(+.f32 0 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1/2 (sin.f32 normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1/2 (sin.f32 normAngle))))
(-.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 0)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 (.f32 2 (/.f32 1 (sin.f32 normAngle))) 1/2))
(.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.f32 2 (sin.f32 normAngle)) 1/2))
(.f32 (sin.f32 normAngle) (/.f32 (/.f32 1 (sin.f32 (.f32 u normAngle))) (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) 1)
(.f32 1 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) 2) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 2 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 2 (sin.f32 normAngle))) 1/2)
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (/.f32 1 (.f32 (sin.f32 normAngle) 4)))
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (.f32 (/.f32 1 (*.f32 (sin.f32 normAngle) 4)) 1))
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (.f32 1/4 (/.f32 1 (sin.f32 normAngle))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (/.f32 1 (sin.f32 (.f32 u normAngle)))))
(.f32 (sin.f32 (.f32 u (neg.f32 normAngle))) (/.f32 -1 (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u (neg.f32 normAngle))) (*.f32 (/.f32 -1 (sin.f32 normAngle)) 1))
(.f32 (sin.f32 (.f32 u (neg.f32 normAngle))) (*.f32 -1 (/.f32 1 (sin.f32 normAngle))))
(.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))))
(.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 2 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))))))
(.f32 -1 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 (neg.f32 normAngle))))
(.f32 -1 (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 (neg.f32 normAngle))) 1))
(.f32 -1 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) 2) (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(.f32 (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))) (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))
(.f32 (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))) (/.f32 1/2 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))))))
(.f32 4 (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (sin.f32 normAngle) 4)))
(.f32 4 (/.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) 4))
(.f32 (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 4) 1/4)
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) 8) (/.f32 1 (.f32 (sin.f32 normAngle) 8)))
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(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (/.f32 2 n1_i)) (*.f32 (sin.f32 normAngle) 2))
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(/.f32 (/.f32 4 (/.f32 2 n1_i)) (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) -2) (/.f32 2 n1_i)) (sin.f32 (neg.f32 normAngle)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) 4) (/.f32 2 n1_i)) (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))))))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 2 (sin.f32 normAngle)))) (/.f32 2 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -1)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) 2) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -2)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -4)
(/.f32 (/.f32 (.f32 4 (sin.f32 (.f32 u (neg.f32 normAngle)))) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) 4)
(/.f32 (/.f32 n1_i (/.f32 1 (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (/.f32 n1_i 1/2) (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))))
(/.f32 (/.f32 n1_i (sin.f32 (neg.f32 normAngle))) (/.f32 -1 (sin.f32 (*.f32 u normAngle))))
(/.f32 (neg.f32 (+.f32 n1_i n1_i)) (-.f32 0 (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))))))
(/.f32 (neg.f32 (/.f32 n1_i (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (sin.f32 (*.f32 u normAngle)))))
(/.f32 (neg.f32 (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 1)
(+.f32 (*.f32 u normAngle) 0)
(+.f32 (*.f32 u normAngle) (+.f32 (neg.f32 (PI.f32)) (PI.f32)))
(+.f32 (*.f32 u normAngle) (-.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))))
(+.f32 0 (*.f32 u normAngle))
(+.f32 (PI.f32) (-.f32 (*.f32 u normAngle) (PI.f32)))
(+.f32 (-.f32 (*.f32 u normAngle) (PI.f32)) (PI.f32))
(+.f32 -1 (-.f32 1 (*.f32 u (neg.f32 normAngle))))
(+.f32 (neg.f32 (PI.f32)) (+.f32 (*.f32 u normAngle) (PI.f32)))
(+.f32 (+.f32 (*.f32 u normAngle) (PI.f32)) (neg.f32 (PI.f32)))
(+.f32 (-.f32 -1 (neg.f32 (PI.f32))) (-.f32 1 (-.f32 (PI.f32) (*.f32 u normAngle))))
(-.f32 (*.f32 u normAngle) 0)
(-.f32 0 (*.f32 u (neg.f32 normAngle)))
(-.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 u normAngle)))
(-.f32 (-.f32 (*.f32 u normAngle) (PI.f32)) (neg.f32 (PI.f32)))
(-.f32 (neg.f32 (PI.f32)) (-.f32 (*.f32 u (neg.f32 normAngle)) (PI.f32)))
(-.f32 (+.f32 (*.f32 u normAngle) (PI.f32)) (PI.f32))
(-.f32 (-.f32 (-.f32 (*.f32 u normAngle) (PI.f32)) (PI.f32)) (-.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (*.f32 u normAngle) 1)
(/.f32 (*.f32 u (+.f32 normAngle normAngle)) 2)
(/.f32 (.f32 normAngle (.f32 u 4)) 4)
(/.f32 (*.f32 u (neg.f32 normAngle)) -1)
(/.f32 (.f32 2 (.f32 normAngle (*.f32 u 4))) 8)
(/.f32 (+.f32 (.f32 2 (.f32 normAngle (.f32 u 4))) (.f32 2 (.f32 normAngle (.f32 u 4)))) 16)
(pow.f32 (*.f32 u normAngle) 1)
(neg.f32 (*.f32 u (neg.f32 normAngle)))

Outputs
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (pow.f32 (*.f32 u normAngle) 3) (sin.f32 normAngle))))
(+.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) (.f32 -1/6 (/.f32 (pow.f32 (*.f32 u normAngle) 3) (sin.f32 normAngle))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 (.f32 u normAngle) 3) (sin.f32 normAngle))) (+.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (.f32 1/120 (/.f32 (pow.f32 (*.f32 u normAngle) 5) (sin.f32 normAngle)))))
(+.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (pow.f32 (.f32 u normAngle) 5) (sin.f32 normAngle))) (.f32 -1/6 (/.f32 (pow.f32 (*.f32 u normAngle) 3) (sin.f32 normAngle)))))
(+.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 (.f32 u normAngle) 3) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (pow.f32 (*.f32 u normAngle) 5) (sin.f32 normAngle)))))
(+.f32 (.f32 -1/6 (/.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (sin.f32 normAngle))) (+.f32 (.f32 -1/5040 (/.f32 (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (sin.f32 normAngle))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 (.f32 u normAngle) 3) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (pow.f32 (.f32 u normAngle) 5) (sin.f32 normAngle))) (+.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (.f32 -1/5040 (/.f32 (pow.f32 (*.f32 u normAngle) 7) (sin.f32 normAngle))))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 (.f32 u normAngle) 3) (sin.f32 normAngle))) (+.f32 (.f32 1/120 (/.f32 (pow.f32 (.f32 u normAngle) 5) (sin.f32 normAngle))) (+.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) (.f32 -1/5040 (/.f32 (pow.f32 (*.f32 u normAngle) 7) (sin.f32 normAngle))))))
u
(+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)
(+.f32 u (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)) (pow.f32 normAngle 2)))
(+.f32 u (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2)))
(+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u))
(+.f32 (+.f32 u (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 u -1/6)) (pow.f32 normAngle 2))) (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6))))) (pow.f32 normAngle 4)))
(+.f32 u (+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4)) (.f32 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2))))
(+.f32 u (+.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2)) (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4))))
(+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))) (+.f32 (.f32 -1/5040 u) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) (pow.f32 normAngle 2)) u)))
(+.f32 (+.f32 (+.f32 u (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 u -1/6)) (pow.f32 normAngle 2))) (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 u -1/6))))) (pow.f32 normAngle 4))) (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 u -1/6))) (+.f32 (.f32 u -1/5040) (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6))))))))) (pow.f32 normAngle 6)))
(+.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2)) (+.f32 (+.f32 u (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4))) (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))))) (+.f32 (.f32 u -1/5040) (.f32 1/120 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u)))))) (pow.f32 normAngle 6))))
(+.f32 (.f32 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (pow.f32 u 7)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))))) (+.f32 (.f32 1/120 (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) (.f32 u -1/5040)))) (pow.f32 normAngle 6)) (+.f32 u (.f32 (-.f32 (.f32 1/120 (pow.f32 u 5)) (+.f32 (.f32 u 1/120) (.f32 -1/6 (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))))) (pow.f32 normAngle 4)))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle)) (.f32 -1/6 (.f32 (pow.f32 (*.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))))
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (.f32 -1/6 (.f32 (pow.f32 (*.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))) (.f32 1/120 (/.f32 (.f32 (pow.f32 (.f32 u normAngle) 5) n1_i) (sin.f32 normAngle)))))
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))) (.f32 (pow.f32 (.f32 u normAngle) 5) (.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/120))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/5040 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))))))
(+.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))) (+.f32 (.f32 1/120 (/.f32 (.f32 (pow.f32 (.f32 u normAngle) 5) n1_i) (sin.f32 normAngle))) (.f32 -1/5040 (.f32 (pow.f32 (*.f32 u normAngle) 7) (/.f32 n1_i (sin.f32 normAngle)))))))
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (+.f32 (.f32 (pow.f32 (.f32 u normAngle) 5) (.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/120)) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 (.f32 u normAngle) 7) (/.f32 n1_i (sin.f32 normAngle)))) (.f32 -1/6 (.f32 (pow.f32 (*.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))))))
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) (+.f32 (.f32 (pow.f32 (.f32 u normAngle) 5) (.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/120)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))) (.f32 -1/5040 (.f32 (pow.f32 (*.f32 u normAngle) 7) (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 n1_i u))
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(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 2 (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 4)) (/.f32 1 n1_i)) 8)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 2 (.f32 (sin.f32 (.f32 u normAngle)) 8)) (/.f32 1 n1_i)) (.f32 2 (*.f32 (sin.f32 normAngle) 8)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 (neg.f32 normAngle))) (/.f32 1 n1_i)) -1)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 4 (sin.f32 (.f32 u (neg.f32 normAngle)))) (/.f32 1 n1_i)) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(/.f32 n1_i (/.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (*.f32 u (neg.f32 normAngle)))))
(/.f32 (/.f32 (.f32 4 (sin.f32 (.f32 u (neg.f32 normAngle)))) (/.f32 1 n1_i)) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(/.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(/.f32 n1_i (/.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (*.f32 u (neg.f32 normAngle)))))
(/.f32 (/.f32 (.f32 4 (sin.f32 (.f32 u (neg.f32 normAngle)))) (/.f32 1 n1_i)) (neg.f32 (*.f32 (sin.f32 normAngle) 4)))
(/.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(/.f32 n1_i (/.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (*.f32 u (neg.f32 normAngle)))))
(/.f32 (/.f32 (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) -2)) (/.f32 1 n1_i)) (*.f32 (sin.f32 normAngle) 2))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 2 (.f32 n1_i 4)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) 8)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 1 (/.f32 2 n1_i)) (.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) 2) (/.f32 2 n1_i)) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 2 (/.f32 2 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (/.f32 2 n1_i)) (*.f32 (sin.f32 normAngle) 2))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))) (/.f32 2 n1_i)) (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 4 (/.f32 2 n1_i)) (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) -2) (/.f32 2 n1_i)) (sin.f32 (neg.f32 normAngle)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) 4) (/.f32 2 n1_i)) (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 2 (sin.f32 normAngle)))) (/.f32 2 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -1)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) 2) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -2)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -4)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 4 (sin.f32 (.f32 u (neg.f32 normAngle)))) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) 4)
(/.f32 (sin.f32 (*.f32 u (neg.f32 normAngle))) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(/.f32 n1_i (/.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (*.f32 u (neg.f32 normAngle)))))
(/.f32 (/.f32 n1_i (/.f32 1 (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 n1_i 1/2) (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 n1_i (sin.f32 (neg.f32 normAngle))) (/.f32 -1 (sin.f32 (*.f32 u normAngle))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (neg.f32 (+.f32 n1_i n1_i)) (-.f32 0 (.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle))))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (neg.f32 (/.f32 n1_i (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (sin.f32 (*.f32 u normAngle)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (neg.f32 (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 1)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(+.f32 (*.f32 u normAngle) 0)
(*.f32 u normAngle)
(+.f32 (*.f32 u normAngle) (+.f32 (neg.f32 (PI.f32)) (PI.f32)))
(*.f32 u normAngle)
(+.f32 (*.f32 u normAngle) (-.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32))))
(*.f32 u normAngle)
(+.f32 0 (*.f32 u normAngle))
(*.f32 u normAngle)
(+.f32 (PI.f32) (-.f32 (*.f32 u normAngle) (PI.f32)))
(*.f32 u normAngle)
(+.f32 (-.f32 (*.f32 u normAngle) (PI.f32)) (PI.f32))
(*.f32 u normAngle)
(+.f32 -1 (-.f32 1 (*.f32 u (neg.f32 normAngle))))
(*.f32 (neg.f32 normAngle) (neg.f32 u))
(+.f32 (neg.f32 (PI.f32)) (+.f32 (*.f32 u normAngle) (PI.f32)))
(*.f32 u normAngle)
(+.f32 (+.f32 (*.f32 u normAngle) (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 u normAngle)
(+.f32 (-.f32 -1 (neg.f32 (PI.f32))) (-.f32 1 (-.f32 (PI.f32) (*.f32 u normAngle))))
(+.f32 (-.f32 -1 (neg.f32 (PI.f32))) (-.f32 (*.f32 u normAngle) (-.f32 (PI.f32) 1)))
(+.f32 (+.f32 (PI.f32) -1) (-.f32 (*.f32 u normAngle) (+.f32 (PI.f32) -1)))
(+.f32 (PI.f32) (+.f32 -1 (-.f32 (*.f32 u normAngle) (+.f32 -1 (PI.f32)))))
(-.f32 (*.f32 u normAngle) 0)
(*.f32 u normAngle)
(-.f32 0 (*.f32 u (neg.f32 normAngle)))
(+.f32 -1 (-.f32 1 (*.f32 u (neg.f32 normAngle))))
(*.f32 (neg.f32 normAngle) (neg.f32 u))
(-.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 u normAngle)))
(*.f32 u normAngle)
(-.f32 (-.f32 (*.f32 u normAngle) (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 u normAngle)
(-.f32 (neg.f32 (PI.f32)) (-.f32 (*.f32 u (neg.f32 normAngle)) (PI.f32)))
(-.f32 (PI.f32) (-.f32 (*.f32 u (neg.f32 normAngle)) (neg.f32 (PI.f32))))
(-.f32 (*.f32 (neg.f32 normAngle) (neg.f32 u)) 0)
(-.f32 (+.f32 (*.f32 u normAngle) (PI.f32)) (PI.f32))
(*.f32 u normAngle)
(-.f32 (-.f32 (-.f32 (*.f32 u normAngle) (PI.f32)) (PI.f32)) (-.f32 (neg.f32 (PI.f32)) (PI.f32)))
(*.f32 u normAngle)
(/.f32 (*.f32 u normAngle) 1)
(*.f32 u normAngle)
(/.f32 (*.f32 u (+.f32 normAngle normAngle)) 2)
(*.f32 u normAngle)
(/.f32 (.f32 normAngle (.f32 u 4)) 4)
(.f32 (.f32 u 4) (/.f32 normAngle 4))
(/.f32 (*.f32 u (neg.f32 normAngle)) -1)
(+.f32 -1 (-.f32 1 (*.f32 u (neg.f32 normAngle))))
(*.f32 (neg.f32 normAngle) (neg.f32 u))
(/.f32 (.f32 2 (.f32 normAngle (*.f32 u 4))) 8)
(.f32 (.f32 normAngle (*.f32 u 4)) 1/4)
(.f32 1/4 (.f32 u (*.f32 normAngle 4)))
(/.f32 (+.f32 (.f32 2 (.f32 normAngle (.f32 u 4))) (.f32 2 (.f32 normAngle (.f32 u 4)))) 16)
(.f32 (.f32 normAngle (*.f32 u 4)) 1/4)
(.f32 1/4 (.f32 u (*.f32 normAngle 4)))
(pow.f32 (*.f32 u normAngle) 1)
(*.f32 u normAngle)
(neg.f32 (*.f32 u (neg.f32 normAngle)))
(+.f32 -1 (-.f32 1 (*.f32 u (neg.f32 normAngle))))
(*.f32 (neg.f32 normAngle) (neg.f32 u))

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i)
✓	0.0b	(/.f32 1 (sin.f32 normAngle))
✓	0.1b	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
	1.7b	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

Compiler

Compiled 55 to 22 computations (60% saved)

series5.0ms (0%)

Counts

3 → 88

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	normAngle	@	inf	(/.f32 1 (sin.f32 normAngle))
0.0ms	normAngle	@	0	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
0.0ms	normAngle	@	-inf	(/.f32 1 (sin.f32 normAngle))
0.0ms	n0_i	@	0	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
0.0ms	normAngle	@	0	(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i)

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1198×	`rational.json-1`
1198×	`rational.json-2`
1198×	`rational.json-4`
1198×	`rational.json-3`
1192×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	83
1	112	71
2	245	71
3	546	71
4	1244	71
5	3876	71

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

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

(/.f32 1 (sin.f32 normAngle))

(*.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 n0_i (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1/2 (sin.f32 normAngle)) (/.f32 1/2 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 normAngle) (/.f32 1 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1/2 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 normAngle) 2) (/.f32 1/2 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 normAngle) 2) (/.f32 1 (*.f32 2 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (sin.f32 normAngle)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 2 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 normAngle) 1/2) (/.f32 2 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (/.f32 1 (sin.f32 normAngle)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (sin.f32 normAngle)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))) (*.f32 (sin.f32 normAngle) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 2 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle)))) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 -1 (sin.f32 normAngle)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle)))) (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 1 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (*.f32 (sin.f32 normAngle) 2) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (*.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 normAngle u)))) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 2 (sin.f32 normAngle))) (/.f32 2 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 2 (sin.f32 normAngle)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) 2) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 4 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 (sin.f32 normAngle) 4) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n1_i n1_i) (*.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) 4) (/.f32 4 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 4 (/.f32 n1_i (sin.f32 normAngle)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) 4) (*.f32 4 (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (/.f32 (*.f32 (sin.f32 normAngle) 8) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 4) (*.f32 4 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (/.f32 (neg.f32 (sin.f32 normAngle)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (-.f32 0 (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 4 (/.f32 n1_i (sin.f32 normAngle))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (+.f32 n1_i n1_i)) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 n1_i 4)) (*.f32 8 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 1/2) (*.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) 2)) (-.f32 0 (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 n1_i) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 4 (/.f32 n1_i (sin.f32 normAngle)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 n1_i 4) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 (*.f32 n1_i 4)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (+.f32 n1_i n1_i)) (sin.f32 normAngle)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n1_i 1/2) (*.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) 2) (*.f32 (sin.f32 normAngle) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (*.f32 (sin.f32 normAngle) 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) 1/2) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) 4)) (-.f32 0 (*.f32 4 (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 n1_i n1_i)) (neg.f32 (*.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 normAngle u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 n1_i 4)) (-.f32 0 (*.f32 4 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (+.f32 n1_i n1_i))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 n1_i 1/2)) (-.f32 0 (*.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) 2)) (-.f32 0 (*.f32 (sin.f32 normAngle) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 n1_i 1/2)) (neg.f32 (*.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 normAngle u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 n1_i (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) 1/2)) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 1)))))

simplify125.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1616×	`rational.json-simplify-35`
1054×	`rational.json-simplify-61`
980×	`rational.json-simplify-41`
882×	`rational.json-simplify-2`
794×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	304	6374
1	914	6290
2	2396	6206
3	5979	6194

Stop Event

1×	node limit

Counts

184 → 179

Calls

Call 1

Inputs
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 n1_i u) n0_i))))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) n0_i)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 1 normAngle)
(+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))
(+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (.f32 7/360 (pow.f32 normAngle 3))))
(+.f32 (.f32 31/15120 (pow.f32 normAngle 5)) (+.f32 (/.f32 1 normAngle) (+.f32 (.f32 1/6 normAngle) (*.f32 7/360 (pow.f32 normAngle 3)))))
(*.f32 n1_i u)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (.f32 n1_i u))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/5040 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(-.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 0)
(.f32 1 (+.f32 n0_i (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))))
(.f32 (+.f32 n0_i (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1)
(.f32 2 (.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1/2))
(.f32 (.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 2) 1/2)
(.f32 4 (/.f32 (+.f32 n0_i (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4))
(.f32 (.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4) 1/4)
(.f32 1/2 (.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 2))
(.f32 1/4 (.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4))
(.f32 (.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1/2) 2)
(.f32 (/.f32 (+.f32 n0_i (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4) 4)
(/.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1)
(/.f32 (.f32 (+.f32 n0_i (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 2) 2)
(/.f32 (.f32 (+.f32 n0_i (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 4))) 16)
(pow.f32 (+.f32 n0_i (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))) 1)
(+.f32 (/.f32 1 (sin.f32 normAngle)) 0)
(+.f32 0 (/.f32 1 (sin.f32 normAngle)))
(+.f32 (/.f32 1/2 (sin.f32 normAngle)) (/.f32 1/2 (sin.f32 normAngle)))
(-.f32 (/.f32 1 (sin.f32 normAngle)) 0)
(*.f32 1 (/.f32 1 (sin.f32 normAngle)))
(.f32 (sin.f32 normAngle) (/.f32 1 (.f32 (sin.f32 normAngle) (sin.f32 normAngle))))
(*.f32 (/.f32 1 (sin.f32 normAngle)) 1)
(*.f32 2 (/.f32 1/2 (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 normAngle) 2) (/.f32 1/2 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))))
(.f32 (.f32 (sin.f32 normAngle) 2) (/.f32 1 (.f32 2 (.f32 (sin.f32 normAngle) (sin.f32 normAngle)))))
(*.f32 (/.f32 2 (sin.f32 normAngle)) 1/2)
(*.f32 4 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4))
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 4) 1/4)
(*.f32 1/2 (/.f32 2 (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 normAngle) 1/2) (/.f32 2 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle))))
(.f32 1/4 (.f32 (/.f32 1 (sin.f32 normAngle)) 4))
(*.f32 (/.f32 1/2 (sin.f32 normAngle)) 2)
(.f32 (/.f32 1 (.f32 (sin.f32 normAngle) (sin.f32 normAngle))) (sin.f32 normAngle))
(.f32 (/.f32 2 (.f32 (sin.f32 normAngle) (sin.f32 normAngle))) (*.f32 (sin.f32 normAngle) 1/2))
(.f32 (/.f32 1/2 (.f32 (sin.f32 normAngle) (sin.f32 normAngle))) (*.f32 (sin.f32 normAngle) 2))
(.f32 (/.f32 1 (.f32 2 (.f32 (sin.f32 normAngle) (sin.f32 normAngle)))) (.f32 (sin.f32 normAngle) 2))
(*.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4) 4)
(pow.f32 (/.f32 1 (sin.f32 normAngle)) 1)
(neg.f32 (/.f32 -1 (sin.f32 normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle)))) (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle)))))
(-.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 0)
(/.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))) n1_i))
(/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 1 n1_i))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 1)
(/.f32 2 (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))
(/.f32 2 (/.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u)))) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 2 (sin.f32 normAngle))) (/.f32 2 n1_i))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 n1_i (/.f32 2 (sin.f32 normAngle)))) 2)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i)))
(/.f32 4 (/.f32 (.f32 4 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))) n1_i))
(/.f32 4 (/.f32 (.f32 (sin.f32 normAngle) 4) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))
(/.f32 (+.f32 n1_i n1_i) (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u)))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (sin.f32 normAngle))
(/.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 normAngle u))))
(/.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) 4) (/.f32 4 n1_i))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 4 (/.f32 n1_i (sin.f32 normAngle)))) 4)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) 4) (*.f32 4 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 8 (/.f32 (.f32 (sin.f32 normAngle) 8) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))
(/.f32 (.f32 n1_i 4) (.f32 4 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (/.f32 (neg.f32 (sin.f32 normAngle)) n1_i))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle u))) (-.f32 0 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 4 (/.f32 n1_i (sin.f32 normAngle))))) 8)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (.f32 2 (.f32 n1_i 4)) (.f32 8 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))))
(/.f32 (.f32 n1_i 1/2) (.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle)))) 1/2)
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2)) (-.f32 0 (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))))
(/.f32 (neg.f32 n1_i) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 4 (/.f32 n1_i (sin.f32 normAngle)))))) 16)
(/.f32 (/.f32 (.f32 n1_i 4) (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))) 4)
(/.f32 (/.f32 (.f32 2 (.f32 n1_i 4)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) 8)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) (sin.f32 normAngle)) 2)
(/.f32 (/.f32 n1_i 1/2) (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u)))))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2) (*.f32 (sin.f32 normAngle) 1/2))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1/2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 4)) (-.f32 0 (*.f32 4 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (+.f32 n1_i n1_i)) (neg.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u))))))
(/.f32 (neg.f32 (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))
(/.f32 (neg.f32 (.f32 n1_i 4)) (-.f32 0 (.f32 4 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(/.f32 (neg.f32 (.f32 n1_i 1/2)) (-.f32 0 (.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2)) (-.f32 0 (*.f32 (sin.f32 normAngle) 1/2)))
(/.f32 (neg.f32 (/.f32 n1_i 1/2)) (neg.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u))))))
(/.f32 (neg.f32 (/.f32 n1_i (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (sin.f32 (*.f32 normAngle u)))))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1/2)) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle))
(pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 1)

Outputs
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
n0_i
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))) n0_i)
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(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 4 (/.f32 n1_i (sin.f32 normAngle))))) 8)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) (*.f32 (sin.f32 normAngle) 2))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (.f32 2 (.f32 n1_i 4)) (.f32 8 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (.f32 n1_i 1/2) (.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle)))) 1/2)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 2)) (-.f32 0 (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 n1_i) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 4 (/.f32 n1_i (sin.f32 normAngle)))))) 16)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 n1_i 4) (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))) 4)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 2 (.f32 n1_i 4)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u)))) 8)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) (sin.f32 normAngle)) 2)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (/.f32 n1_i 1/2) (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2) (*.f32 (sin.f32 normAngle) 1/2))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1/2) (*.f32 (sin.f32 normAngle) 2))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) 4)) (-.f32 0 (*.f32 4 (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (+.f32 n1_i n1_i)) (neg.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u))))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 n1_i 4)) (-.f32 0 (.f32 4 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 n1_i 1/2)) (-.f32 0 (.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle u))))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2)) (-.f32 0 (*.f32 (sin.f32 normAngle) 1/2)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (/.f32 n1_i 1/2)) (neg.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 normAngle u))))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (/.f32 n1_i (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (sin.f32 (*.f32 normAngle u)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1/2)) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 1)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))

localize62.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	0.1b	(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
✓	7.9b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

Compiler

Compiled 74 to 28 computations (62.2% saved)

series21.0ms (0.1%)

Counts

3 → 84

Calls

33 calls:

Time	Variable		Point	Expression
6.0ms	u	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
6.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
1.0ms	normAngle	@	0	(+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
1.0ms	normAngle	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
1.0ms	normAngle	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1614×	`rational.json-simplify-35`
1212×	`rational.json-1`
1212×	`rational.json-2`
1212×	`rational.json-4`
1212×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	117
1	134	111
2	290	111
3	638	111
4	1386	111
5	4017	111

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))) (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 (*.f32 1/2 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (sin.f32 normAngle) (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (+.f32 (*.f32 (*.f32 1/2 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) 2) (*.f32 (*.f32 1/2 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 4 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 (*.f32 4 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 2 (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 2 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (sin.f32 normAngle)) (+.f32 (/.f32 1 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (/.f32 1 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 (neg.f32 (sin.f32 normAngle)) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (neg.f32 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (*.f32 2 (*.f32 4 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (/.f32 (*.f32 (sin.f32 normAngle) 8) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (+.f32 (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1/2)) 2) (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1/2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (+.f32 (*.f32 (*.f32 4 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) 1) (*.f32 (*.f32 4 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 (+.f32 u -1) -2)) (*.f32 (*.f32 normAngle n0_i) (/.f32 (+.f32 u -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 u) (*.f32 normAngle (+.f32 n0_i n0_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 u) (*.f32 n0_i (*.f32 normAngle 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (-.f32 1 u) (*.f32 n0_i (*.f32 normAngle 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (-.f32 1 u) (*.f32 n0_i (*.f32 normAngle 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (-.f32 1 u) (*.f32 n0_i (*.f32 normAngle 4))))) (*.f32 2 (*.f32 2 (*.f32 (-.f32 1 u) (*.f32 n0_i (*.f32 normAngle 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (neg.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4))) (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))))

simplify156.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-35`
1162×	`rational.json-simplify-53`
1062×	`rational.json-simplify-2`
860×	`rational.json-simplify-1`
706×	`rational.json-simplify-50`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	362	10261
1	1032	10129
2	3032	9985
3	5497	9985

Stop Event

1×	node limit

Counts

201 → 211

Calls

Call 1

Inputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 6))))))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)))) u))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))) u) (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))) u) (+.f32 (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))))
(.f32 -1 (/.f32 (.f32 n0_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 n0_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(*.f32 n0_i normAngle)
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(.f32 -1 (.f32 u (*.f32 n0_i normAngle)))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(.f32 -1 (.f32 u (*.f32 n0_i normAngle)))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(*.f32 n0_i normAngle)
(+.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (.f32 n1_i normAngle)) u) (*.f32 n0_i normAngle))
(+.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (.f32 n1_i normAngle)) u) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 n0_i normAngle)))
(+.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (.f32 n1_i normAngle)) u) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (*.f32 n0_i normAngle))))
(.f32 -1 (.f32 u (*.f32 n0_i normAngle)))
(+.f32 (.f32 n0_i normAngle) (+.f32 (.f32 -1 (.f32 u (.f32 n0_i normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(+.f32 (.f32 n0_i normAngle) (+.f32 (.f32 -1 (.f32 u (.f32 n0_i normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(+.f32 (.f32 n0_i normAngle) (+.f32 (.f32 -1 (.f32 u (.f32 n0_i normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(.f32 -1 (.f32 u (*.f32 n0_i normAngle)))
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(/.f32 (+.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))) (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))) (*.f32 (sin.f32 normAngle) 4))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4))) (.f32 (sin.f32 normAngle) 4))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4))) (-.f32 0 (neg.f32 (.f32 (sin.f32 normAngle) 4))))
(/.f32 (neg.f32 (/.f32 1 (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))
(/.f32 (neg.f32 (/.f32 2 (sin.f32 normAngle))) (-.f32 0 (/.f32 2 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1/2)) (-.f32 0 (.f32 (sin.f32 normAngle) 1/2)))
(/.f32 (neg.f32 (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (-.f32 0 (.f32 2 (.f32 (sin.f32 normAngle) -2))))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))) (-.f32 0 (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2)))))
(/.f32 (neg.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))) (.f32 (sin.f32 normAngle) -2))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))) (neg.f32 (.f32 (sin.f32 normAngle) 2)))
(pow.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)
(neg.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 0)
(+.f32 0 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (.f32 normAngle n0_i) (/.f32 (+.f32 u -1) -2)) (.f32 (.f32 normAngle n0_i) (/.f32 (+.f32 u -1) -2)))
(-.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 0)
(/.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 1)
(/.f32 (.f32 (-.f32 1 u) (.f32 normAngle (+.f32 n0_i n0_i))) 2)
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i (*.f32 normAngle 4))) 4)
(/.f32 (.f32 2 (.f32 (-.f32 1 u) (.f32 n0_i (.f32 normAngle 4)))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 u) (.f32 n0_i (*.f32 normAngle 4))))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (-.f32 1 u) (.f32 n0_i (.f32 normAngle 4))))) (.f32 2 (.f32 2 (.f32 (-.f32 1 u) (.f32 n0_i (.f32 normAngle 4)))))) 32)
(pow.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 1)
(-.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 0)
(-.f32 0 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(.f32 1 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))
(.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1)
(.f32 2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1/2))
(.f32 4 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) 1/2)
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) 1/4)
(.f32 1/2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))
(.f32 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) -1)
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1/2) 2)
(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)
(/.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) 2)
(/.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4) 4)
(/.f32 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) -1)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4)) 8)
(/.f32 (.f32 2 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))) -2)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4))) (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4)))) 32)
(pow.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)
(neg.f32 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))

Outputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)) (pow.f32 normAngle 2)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 5) 1/120)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))))) (pow.f32 normAngle 4)) (+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2))) (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (+.f32 (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 6))))))
(+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 5) 1/120)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))))) (pow.f32 normAngle 4)) (+.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 7) -1/5040)) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 5) 1/120)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)))))) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)) 1/120) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/5040)))) (pow.f32 normAngle 6)) (.f32 n1_i u))) (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)) (pow.f32 normAngle 2))))
(+.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 n1_i (.f32 -1/5040 (pow.f32 u 7))) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (+.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) 1/120) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/5040)))) (pow.f32 normAngle 6))))))
(+.f32 (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 -1/5040 (pow.f32 u 7))) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (+.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) 1/120) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/5040)))) (pow.f32 normAngle 6)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)))) (+.f32 (.f32 n1_i u) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2))))
(+.f32 (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (-.f32 (.f32 n1_i (.f32 -1/5040 (pow.f32 u 7))) (+.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (+.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) 1/120) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/5040)))) (pow.f32 normAngle 6)))))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(.f32 (-.f32 1 u) (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (.f32 (-.f32 1 u) (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle))) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (.f32 (-.f32 1 u) (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle))) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+.f32 (.f32 (-.f32 1 u) (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle))) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
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(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 (-.f32 1 u) (.f32 n0_i normAngle)))
(neg.f32 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 (-.f32 1 u) (.f32 n0_i normAngle)))

localize76.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f32 (-.f32 1 u) normAngle)
	0.3b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))
	0.3b	(*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)
✓	1.4b	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))

Compiler

Compiled 85 to 40 computations (52.9% saved)

series5.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	normAngle	@	-inf	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
1.0ms	normAngle	@	inf	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
1.0ms	n1_i	@	0	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
1.0ms	u	@	inf	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
1.0ms	u	@	0	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))

rewrite151.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

784×	`rational.json-simplify-1`
726×	`rational.json-simplify-44`
716×	`rational.json-simplify-49`
670×	`rational.json-simplify-61`
658×	`rational.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	71	23
2	181	23
3	446	23
4	1179	23
5	5465	23
6	7606	23

Stop Event

1×	node limit

Counts

1 → 137

Calls

Call 1

Inputs
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 u normAngle) (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i))) (/.f32 (*.f32 u normAngle) (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 1 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 n1_i (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 n1_i (*.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 1 (*.f32 u normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 1 (*.f32 u normAngle)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 1/2 (/.f32 2 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (*.f32 u (*.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 (/.f32 (sin.f32 normAngle) (*.f32 u (*.f32 normAngle n1_i))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n1_i n1_i) (*.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n1_i n1_i) (*.f32 (*.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 u normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n1_i n1_i) (*.f32 -2 (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (*.f32 u normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (*.f32 2 (/.f32 (sin.f32 normAngle) (*.f32 u (*.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (*.f32 (/.f32 (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (*.f32 u normAngle)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (+.f32 u u)) (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i (/.f32 2 (sin.f32 normAngle))) (/.f32 2 (*.f32 u normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i (/.f32 2 (sin.f32 normAngle))) (*.f32 2 (/.f32 1 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i (/.f32 2 (sin.f32 normAngle))) (*.f32 (/.f32 2 (*.f32 u normAngle)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 4) (/.f32 (*.f32 (sin.f32 normAngle) 4) (*.f32 u normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 4) (*.f32 4 (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 4) (*.f32 (*.f32 (sin.f32 normAngle) 4) (/.f32 1 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 4) (*.f32 2 (*.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 4) (*.f32 (*.f32 (sin.f32 normAngle) 2) (/.f32 2 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 4) (*.f32 -4 (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 4) (/.f32 4 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (/.f32 (+.f32 u u) (/.f32 (sin.f32 normAngle) n1_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 (/.f32 1 n1_i) (*.f32 u normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sin.f32 normAngle)) (*.f32 (/.f32 1 n1_i) (/.f32 1 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 n1_i) (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 n1_i) (*.f32 (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 n1_i) (/.f32 (neg.f32 (*.f32 (sin.f32 normAngle) 2)) (*.f32 normAngle (+.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 n1_i) (/.f32 -1 (*.f32 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/.f32 (/.f32 1 (/.f32 1 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 n1_i n1_i) (/.f32 1 (*.f32 u normAngle))) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (/.f32 1 (*.f32 u normAngle))) (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 n1_i 4) (/.f32 1 (*.f32 u normAngle))) (*.f32 (sin.f32 normAngle) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (*.f32 u normAngle))) (/.f32 1 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (neg.f32 n1_i) (/.f32 1 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 1 (*.f32 u normAngle))) (*.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 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#<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 (*.f32 n1_i 8)) (/.f32 1 (*.f32 u normAngle))) (*.f32 2 (*.f32 (sin.f32 normAngle) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 1 (*.f32 u normAngle))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 4 (neg.f32 n1_i)) (/.f32 1 (*.f32 u normAngle))) (*.f32 2 (*.f32 (sin.f32 normAngle) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 4 (neg.f32 n1_i)) (/.f32 1 (*.f32 u normAngle))) (*.f32 2 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 4 (neg.f32 n1_i)) (/.f32 1 (*.f32 u normAngle))) (neg.f32 (*.f32 (sin.f32 normAngle) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (/.f32 2 (*.f32 u normAngle))) (*.f32 (sin.f32 normAngle) (/.f32 1/2 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 n1_i n1_i) (/.f32 2 (*.f32 u normAngle))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (/.f32 2 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 n1_i 4) (/.f32 2 (*.f32 u normAngle))) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 2 (*.f32 u normAngle))) (*.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 4 (/.f32 2 (*.f32 u normAngle))) (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 n1_i -2) (/.f32 2 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) (/.f32 2 (*.f32 u normAngle))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 n1_i n1_i) (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 n1_i 4) (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 4 (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u normAngle) (/.f32 1 n1_i)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u normAngle) 1/2) (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u normAngle) (neg.f32 (sin.f32 normAngle))) (/.f32 -1 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 normAngle (+.f32 u u))) (neg.f32 (*.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (/.f32 -1 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 1 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))))))

simplify162.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1598×	`rational.json-simplify-35`
948×	`rational.json-simplify-51`
824×	`rational.json-simplify-61`
806×	`rational.json-simplify-49`
706×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	363	4621
1	1480	4501
2	5622	4471

Stop Event

1×	node limit

Counts

173 → 164

Calls

Call 1

Inputs
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (.f32 1/720 (*.f32 n1_i u)))) (pow.f32 normAngle 6))))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 0)
(+.f32 0 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 u normAngle) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))) (/.f32 (.f32 u normAngle) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))
(-.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 0)
(-.f32 0 (/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 1 (*.f32 u normAngle))))
(-.f32 0 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))
(/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(/.f32 n1_i (.f32 (/.f32 (sin.f32 normAngle) (.f32 u normAngle)) 1))
(/.f32 n1_i (.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 u normAngle)))))
(/.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 1 (*.f32 u normAngle)))
(/.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 1 (.f32 u normAngle)) 1))
(/.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 1/2 (/.f32 2 (.f32 u normAngle))))
(/.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 1)
(/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))))
(/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i))) 1))
(/.f32 (+.f32 n1_i n1_i) (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 u normAngle))))
(/.f32 (+.f32 n1_i n1_i) (.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 u normAngle))) 1))
(/.f32 (+.f32 n1_i n1_i) (.f32 -2 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 u normAngle)))))
(/.f32 2 (/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (.f32 u normAngle)))
(/.f32 2 (.f32 2 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i)))))
(/.f32 2 (.f32 (/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (*.f32 u normAngle)) 1))
(/.f32 (.f32 normAngle (+.f32 u u)) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (.f32 n1_i (/.f32 2 (sin.f32 normAngle))) (/.f32 2 (.f32 u normAngle)))
(/.f32 (.f32 n1_i (/.f32 2 (sin.f32 normAngle))) (.f32 2 (/.f32 1 (*.f32 u normAngle))))
(/.f32 (.f32 n1_i (/.f32 2 (sin.f32 normAngle))) (.f32 (/.f32 2 (*.f32 u normAngle)) 1))
(/.f32 (.f32 n1_i 4) (/.f32 (.f32 (sin.f32 normAngle) 4) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i 4) (.f32 4 (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))))
(/.f32 (.f32 n1_i 4) (.f32 (.f32 (sin.f32 normAngle) 4) (/.f32 1 (.f32 u normAngle))))
(/.f32 (.f32 n1_i 4) (.f32 2 (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 u normAngle)))))
(/.f32 (.f32 n1_i 4) (.f32 (.f32 (sin.f32 normAngle) 2) (/.f32 2 (.f32 u normAngle))))
(/.f32 (.f32 n1_i 4) (.f32 -4 (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))
(/.f32 (.f32 n1_i 4) (/.f32 4 (.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(/.f32 (*.f32 normAngle (/.f32 (+.f32 u u) (/.f32 (sin.f32 normAngle) n1_i))) 2)
(/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 (/.f32 1 n1_i) (*.f32 u normAngle)))
(/.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (/.f32 1 n1_i) (/.f32 1 (.f32 u normAngle))))
(/.f32 (neg.f32 n1_i) (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle))))
(/.f32 (neg.f32 n1_i) (.f32 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 u normAngle))) 1))
(/.f32 (neg.f32 n1_i) (/.f32 (neg.f32 (.f32 (sin.f32 normAngle) 2)) (.f32 normAngle (+.f32 u u))))
(/.f32 (neg.f32 n1_i) (/.f32 -1 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(/.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)) (/.f32 1 (*.f32 u normAngle))))
(/.f32 -1 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (*.f32 u normAngle)))
(/.f32 -1 (.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (/.f32 1 (.f32 u normAngle))))
(/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))) (/.f32 1 (*.f32 u normAngle))))
(/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (.f32 (.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)) (/.f32 2 (.f32 u normAngle))))
(/.f32 4 (.f32 2 (/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (*.f32 u normAngle))))
(/.f32 4 (/.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) (.f32 u normAngle)))
(/.f32 4 (.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) (/.f32 1 (*.f32 u normAngle))))
(/.f32 4 (.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 2 (*.f32 u normAngle))))
(/.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) 4) (/.f32 4 (.f32 u normAngle)))
(/.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) 4) (.f32 4 (/.f32 1 (*.f32 u normAngle))))
(/.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) 4) (.f32 2 (/.f32 2 (*.f32 u normAngle))))
(/.f32 (.f32 n1_i 8) (/.f32 (.f32 (sin.f32 normAngle) 8) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i 8) (.f32 8 (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))))
(/.f32 (.f32 n1_i 8) (.f32 (.f32 (sin.f32 normAngle) 8) (/.f32 1 (.f32 u normAngle))))
(/.f32 (.f32 n1_i 8) (.f32 4 (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 u normAngle)))))
(/.f32 (.f32 u (.f32 normAngle 4)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) 4))
(/.f32 (.f32 u (.f32 normAngle 4)) (.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) 1))
(/.f32 (.f32 (.f32 u normAngle) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) 4)) 4)
(/.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) (/.f32 1 n1_i))
(/.f32 (/.f32 1/2 (sin.f32 normAngle)) (/.f32 (/.f32 1/2 n1_i) (*.f32 u normAngle)))
(/.f32 1/2 (/.f32 (.f32 (sin.f32 normAngle) (/.f32 1/2 n1_i)) (.f32 u normAngle)))
(/.f32 1/2 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 normAngle (+.f32 u u))))
(/.f32 1/2 (/.f32 (/.f32 1/2 n1_i) (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))))
(/.f32 (.f32 n1_i -2) (/.f32 (neg.f32 (.f32 (sin.f32 normAngle) 2)) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i -2) (/.f32 (.f32 (sin.f32 normAngle) -2) (*.f32 u normAngle)))
(/.f32 (.f32 n1_i -2) (.f32 (.f32 (sin.f32 normAngle) -2) (/.f32 1 (.f32 u normAngle))))
(/.f32 (.f32 n1_i -2) (.f32 (neg.f32 (.f32 (sin.f32 normAngle) 2)) (/.f32 1 (.f32 u normAngle))))
(/.f32 (.f32 n1_i -2) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 2 (*.f32 u normAngle))))
(/.f32 (.f32 n1_i -2) (.f32 2 (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))
(/.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 u normAngle)))
(/.f32 (.f32 2 (.f32 u (.f32 normAngle 4))) (.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) 4)))
(/.f32 (.f32 2 (.f32 u (.f32 normAngle 4))) (.f32 8 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (.f32 2 (.f32 (/.f32 n1_i (sin.f32 normAngle)) 4)) (.f32 8 (/.f32 1 (.f32 u normAngle))))
(/.f32 (.f32 2 (.f32 n1_i 8)) (.f32 (.f32 2 (.f32 (sin.f32 normAngle) 8)) (/.f32 1 (.f32 u normAngle))))
(/.f32 (.f32 2 (.f32 (.f32 u normAngle) (.f32 (/.f32 n1_i (sin.f32 normAngle)) 4))) 8)
(/.f32 (.f32 2 (.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (*.f32 2 (/.f32 1 n1_i)))
(/.f32 (.f32 u (.f32 normAngle (/.f32 1/2 (sin.f32 normAngle)))) (/.f32 1/2 n1_i))
(/.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) (.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))) (/.f32 2 (*.f32 u normAngle))))
(/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 -1 (*.f32 u normAngle)))
(/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (.f32 -1 (/.f32 1 (.f32 u normAngle))))
(/.f32 (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))) (/.f32 1 (.f32 normAngle (+.f32 u u))))
(/.f32 (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))) (.f32 1/2 (/.f32 1 (*.f32 u normAngle))))
(/.f32 (.f32 u (.f32 normAngle 1/2)) (*.f32 (sin.f32 normAngle) (/.f32 1/2 n1_i)))
(/.f32 (/.f32 (.f32 u normAngle) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))) 1/2)
(/.f32 (.f32 4 (neg.f32 n1_i)) (.f32 (.f32 2 (.f32 (sin.f32 normAngle) -2)) (/.f32 1 (*.f32 u normAngle))))
(/.f32 (.f32 4 (neg.f32 n1_i)) (.f32 (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))) (/.f32 1 (*.f32 u normAngle))))
(/.f32 (.f32 4 (neg.f32 n1_i)) (.f32 (neg.f32 (.f32 (sin.f32 normAngle) 4)) (/.f32 1 (.f32 u normAngle))))
(/.f32 (.f32 4 (neg.f32 n1_i)) (.f32 4 (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))
(/.f32 (neg.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(/.f32 (neg.f32 (.f32 u normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) 1))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 u normAngle) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) 4)))) 16)
(/.f32 (.f32 2 (neg.f32 (.f32 u normAngle))) (*.f32 2 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))
(/.f32 (/.f32 (*.f32 normAngle (+.f32 u u)) (sin.f32 normAngle)) (/.f32 2 n1_i))
(/.f32 (/.f32 (.f32 2 (.f32 u (*.f32 normAngle 4))) (/.f32 (sin.f32 normAngle) n1_i)) 8)
(/.f32 (/.f32 (.f32 n1_i 8) (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) 8)
(/.f32 (/.f32 n1_i (/.f32 1 (*.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (/.f32 1 (/.f32 1 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (+.f32 n1_i n1_i) (/.f32 1 (.f32 u normAngle))) (.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 2 (/.f32 1 (.f32 u normAngle))) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (/.f32 (.f32 n1_i 4) (/.f32 1 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) 4))
(/.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (*.f32 u normAngle))) (/.f32 1 n1_i))
(/.f32 (/.f32 (neg.f32 n1_i) (/.f32 1 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 1 (.f32 u normAngle))) (.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)))
(/.f32 (/.f32 -1 (/.f32 1 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(/.f32 (/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 1 (.f32 u normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 (/.f32 4 (/.f32 1 (.f32 u normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4))
(/.f32 (/.f32 (.f32 n1_i 8) (/.f32 1 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) 8))
(/.f32 (/.f32 (.f32 n1_i -2) (/.f32 1 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) -2))
(/.f32 (/.f32 (.f32 n1_i -2) (/.f32 1 (.f32 u normAngle))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(/.f32 (/.f32 (.f32 2 (.f32 (/.f32 n1_i (sin.f32 normAngle)) 4)) (/.f32 1 (*.f32 u normAngle))) 8)
(/.f32 (/.f32 (.f32 2 (.f32 n1_i 8)) (/.f32 1 (.f32 u normAngle))) (.f32 2 (*.f32 (sin.f32 normAngle) 8)))
(/.f32 (/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 1 (*.f32 u normAngle))) -1)
(/.f32 (/.f32 (.f32 4 (neg.f32 n1_i)) (/.f32 1 (.f32 u normAngle))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (/.f32 (.f32 4 (neg.f32 n1_i)) (/.f32 1 (.f32 u normAngle))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(/.f32 (/.f32 (.f32 4 (neg.f32 n1_i)) (/.f32 1 (.f32 u normAngle))) (neg.f32 (*.f32 (sin.f32 normAngle) 4)))
(/.f32 (/.f32 1 (/.f32 2 (.f32 u normAngle))) (.f32 (sin.f32 normAngle) (/.f32 1/2 n1_i)))
(/.f32 (/.f32 (+.f32 n1_i n1_i) (/.f32 2 (*.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (/.f32 2 (/.f32 2 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (/.f32 (.f32 n1_i 4) (/.f32 2 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 2 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)))
(/.f32 (/.f32 4 (/.f32 2 (.f32 u normAngle))) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (/.f32 (.f32 n1_i -2) (/.f32 2 (.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) (/.f32 2 (.f32 u normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))) -1)
(/.f32 (/.f32 (+.f32 n1_i n1_i) (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))) -2)
(/.f32 (/.f32 (.f32 n1_i 4) (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 u normAngle)))) -4)
(/.f32 (/.f32 (.f32 4 (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 u normAngle)))) 4)
(/.f32 (/.f32 (*.f32 u normAngle) (/.f32 1 n1_i)) (sin.f32 normAngle))
(/.f32 (/.f32 (.f32 u normAngle) 1/2) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (/.f32 (*.f32 u normAngle) (neg.f32 (sin.f32 normAngle))) (/.f32 -1 n1_i))
(/.f32 (neg.f32 (.f32 normAngle (+.f32 u u))) (neg.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 (neg.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (/.f32 -1 n1_i))
(/.f32 (neg.f32 (neg.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) n1_i))
(pow.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 1)
(neg.f32 (/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 1 (*.f32 u normAngle))))
(neg.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))

Outputs
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6)))
(.f32 n1_i (+.f32 u (.f32 1/6 (*.f32 u (pow.f32 normAngle 2)))))
(.f32 u (+.f32 n1_i (.f32 (*.f32 n1_i (pow.f32 normAngle 2)) 1/6)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6))) (.f32 (+.f32 (.f32 n1_i (.f32 u 1/120)) (.f32 n1_i (.f32 u -1/36))) (.f32 (pow.f32 normAngle 4) -1)))
(+.f32 (.f32 n1_i (+.f32 u (.f32 1/6 (.f32 u (pow.f32 normAngle 2))))) (.f32 (.f32 (.f32 n1_i u) -7/360) (neg.f32 (pow.f32 normAngle 4))))
(+.f32 (.f32 u (+.f32 n1_i (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 1/6))) (.f32 (.f32 (.f32 n1_i u) -7/360) (neg.f32 (pow.f32 normAngle 4))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (.f32 1/720 (*.f32 n1_i u)))) (pow.f32 normAngle 6))))))
(+.f32 (.f32 n1_i u) (+.f32 (+.f32 (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6)) (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 n1_i (.f32 u 1/120)) (.f32 n1_i (.f32 u -1/36)))) (+.f32 (.f32 n1_i (.f32 u -1/5040)) (.f32 n1_i (.f32 u 1/720)))) (.f32 (pow.f32 normAngle 6) -1))) (.f32 (+.f32 (.f32 n1_i (.f32 u 1/120)) (.f32 n1_i (.f32 u -1/36))) (*.f32 (pow.f32 normAngle 4) -1))))
(+.f32 (.f32 (.f32 (.f32 n1_i u) -7/360) (neg.f32 (pow.f32 normAngle 4))) (+.f32 (.f32 (+.f32 (.f32 1/6 (.f32 (.f32 n1_i u) -7/360)) (.f32 (.f32 n1_i u) 1/840)) (neg.f32 (pow.f32 normAngle 6))) (.f32 n1_i (+.f32 u (.f32 1/6 (.f32 u (pow.f32 normAngle 2)))))))
(+.f32 (.f32 (.f32 (.f32 n1_i u) -7/360) (neg.f32 (pow.f32 normAngle 4))) (+.f32 (.f32 u (+.f32 n1_i (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 1/6))) (.f32 (+.f32 (.f32 1/6 (.f32 (.f32 n1_i u) -7/360)) (.f32 (.f32 n1_i u) 1/840)) (neg.f32 (pow.f32 normAngle 6)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(+.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 0)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(+.f32 0 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 u normAngle) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))) (/.f32 (.f32 u normAngle) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(-.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 0)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(-.f32 0 (/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 1 (*.f32 u normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(-.f32 0 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 n1_i (.f32 (/.f32 (sin.f32 normAngle) (.f32 u normAngle)) 1))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 n1_i (.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 u normAngle)))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 1 (*.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 (/.f32 1 (.f32 u normAngle)) 1))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 1/2 (/.f32 2 (.f32 u normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 1)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i))) 1))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (+.f32 n1_i n1_i) (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 u normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (+.f32 n1_i n1_i) (.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 u normAngle))) 1))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (+.f32 n1_i n1_i) (.f32 -2 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 u normAngle)))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 2 (/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (.f32 u normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
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(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (*.f32 normAngle (+.f32 u u)) (sin.f32 normAngle)) (/.f32 2 n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 2 (.f32 u (*.f32 normAngle 4))) (/.f32 (sin.f32 normAngle) n1_i)) 8)
(/.f32 (.f32 u (.f32 normAngle 4)) (*.f32 4 (/.f32 (sin.f32 normAngle) n1_i)))
(.f32 u (/.f32 (.f32 normAngle 4) (*.f32 4 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 (/.f32 (.f32 n1_i 8) (/.f32 (sin.f32 normAngle) (.f32 u normAngle))) 8)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 n1_i (/.f32 1 (*.f32 u normAngle))) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 1 (/.f32 1 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (+.f32 n1_i n1_i) (/.f32 1 (.f32 u normAngle))) (.f32 (sin.f32 normAngle) 2))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 2 (/.f32 1 (.f32 u normAngle))) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 n1_i 4) (/.f32 1 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) 4))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (*.f32 u normAngle))) (/.f32 1 n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (neg.f32 n1_i) (/.f32 1 (*.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 1 (.f32 u normAngle))) (.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)))
(/.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (/.f32 1 (.f32 u normAngle)))) (.f32 (sin.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n1_i n1_i))))
(.f32 (.f32 u normAngle) (/.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 n1_i n1_i))))
(/.f32 (/.f32 -1 (/.f32 1 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 1 (.f32 u normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 normAngle (/.f32 u 1/2))) (.f32 2 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (.f32 normAngle (/.f32 u 1/2)) (.f32 2 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))
(/.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))) (/.f32 1 (.f32 u normAngle)))
(/.f32 (/.f32 4 (/.f32 1 (.f32 u normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 n1_i 8) (/.f32 1 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) 8))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 n1_i -2) (/.f32 1 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) -2))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 n1_i -2) (/.f32 1 (.f32 u normAngle))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 2 (.f32 (/.f32 n1_i (sin.f32 normAngle)) 4)) (/.f32 1 (*.f32 u normAngle))) 8)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 2 (.f32 n1_i 8)) (/.f32 1 (.f32 u normAngle))) (.f32 2 (*.f32 (sin.f32 normAngle) 8)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 1 (*.f32 u normAngle))) -1)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 4 (neg.f32 n1_i)) (/.f32 1 (.f32 u normAngle))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 4 (neg.f32 n1_i)) (/.f32 1 (.f32 u normAngle))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 4 (neg.f32 n1_i)) (/.f32 1 (.f32 u normAngle))) (neg.f32 (*.f32 (sin.f32 normAngle) 4)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 1 (/.f32 2 (.f32 u normAngle))) (.f32 (sin.f32 normAngle) (/.f32 1/2 n1_i)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (+.f32 n1_i n1_i) (/.f32 2 (*.f32 u normAngle))) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 2 (/.f32 2 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 n1_i 4) (/.f32 2 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) 2))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 2 (.f32 u normAngle))) (*.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)))
(/.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (/.f32 1 (.f32 u normAngle)))) (.f32 (sin.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n1_i n1_i))))
(.f32 (.f32 u normAngle) (/.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 n1_i n1_i))))
(/.f32 (/.f32 4 (/.f32 2 (.f32 u normAngle))) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 n1_i -2) (/.f32 2 (.f32 u normAngle))) (neg.f32 (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) (/.f32 2 (.f32 u normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 normAngle (/.f32 u 1/2))) (.f32 2 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (.f32 normAngle (/.f32 u 1/2)) (.f32 2 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))
(/.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))) (/.f32 1 (.f32 u normAngle)))
(/.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))) -1)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (+.f32 n1_i n1_i) (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))) -2)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 n1_i 4) (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 u normAngle)))) -4)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 4 (neg.f32 n1_i)) (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 u normAngle)))) 4)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (*.f32 u normAngle) (/.f32 1 n1_i)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 u normAngle) 1/2) (.f32 2 (/.f32 (sin.f32 normAngle) n1_i)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (/.f32 (*.f32 u normAngle) (neg.f32 (sin.f32 normAngle))) (/.f32 -1 n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 normAngle (+.f32 u u))) (neg.f32 (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle)))) (/.f32 -1 n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (*.f32 u normAngle))) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(pow.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) 1)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(neg.f32 (/.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 1 (*.f32 u normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(neg.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (neg.f32 (*.f32 u normAngle)))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))

eval928.0ms (3.7%)

Compiler: Compiled 32980 to 16262 computations (50.7% saved)

prune533.0ms (2.1%)

Pruning

24 alts after pruning (22 fresh and 2 done)

	Pruned	Kept	Total
New	1265	15	1280
Fresh	9	7	16
Picked	1	0	1
Done	3	2	5
Total	1278	24	1302

Error

Counts

1302 → 24

Alt Table

Click to see full alt table

Status	Error	Program
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	8.7b	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	15.9b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	23.2b	(/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle))
▶	20.8b	(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
	9.7b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
	0.9b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	4.6b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i)))))
	0.6b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	6.0b	(+.f32 (*.f32 n1_i u) n0_i)
	6.5b	(+.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i)))
	6.6b	(+.f32 n0_i (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i))
▶	6.5b	(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	1.3b	(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (.f32 n0_i normAngle) (neg.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
▶	0.5b	(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n1_i (.f32 (pow.f32 (.f32 u normAngle) 3) -1/6)))))
✓	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
▶	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
	8.8b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 n0_i normAngle) (.f32 u (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))))))
	12.4b	(*.f32 (-.f32 1 u) n0_i)
▶	20.4b	(*.f32 u n1_i)
	20.8b	(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
	16.4b	n0_i

Compiler

Compiled 770 to 522 computations (32.2% saved)

localize86.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	n1_i	@	-inf	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
0.0ms	u	@	0	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
0.0ms	u	@	inf	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
0.0ms	n1_i	@	inf	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
0.0ms	u	@	-inf	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))

rewrite153.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`rational.json-simplify-35`
1406×	`rational.json-1`
1406×	`rational.json-2`
1406×	`rational.json-3`
1390×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	69	40
2	150	40
3	317	40
4	650	40
5	1581	40
6	3189	40
7	4896	40
8	6325	40
9	7502	40

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (*.f32 u 1/2)) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (*.f32 u 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u 4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2)) (*.f32 (/.f32 u 4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (+.f32 n1_i (neg.f32 n0_i)) 4) (+.f32 u u)) (*.f32 (/.f32 (+.f32 n1_i (neg.f32 n0_i)) 4) (+.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (*.f32 u 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 16 (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 16 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 16 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u)) (+.f32 n0_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u)) (+.f32 n0_i n0_i)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)))))

simplify1.0s (4%)

Algorithm

1×	egg-herbie

Rules

4314×	`rational.json-simplify-35`
2256×	`rational.json-simplify-2`
1018×	`rational.json-simplify-1`
874×	`rational.json-simplify-51`
788×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	2421
1	256	2015
2	587	2015
3	1560	1971
4	3384	1971
5	4538	1971
6	4999	1971
7	5339	1971
8	5523	1971
9	5682	1971
10	5833	1971
11	6131	1971
12	6182	1971
13	6268	1971
14	6334	1971
15	6375	1971
16	6521	1971
17	6666	1971
18	6811	1971
19	6956	1971
20	7149	1971
21	7362	1971
22	7507	1971
23	7652	1971
24	7797	1971
25	7797	1971
26	7798	1971
27	7798	1971
28	7943	1971

Stop Event

1×	node limit

Counts

109 → 64

Calls

Call 1

Inputs
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
n0_i
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 0)
(+.f32 0 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 u 1/2)) (.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 u 1/2)))
(+.f32 (.f32 (/.f32 u 4) (.f32 (+.f32 n1_i (neg.f32 n0_i)) 2)) (.f32 (/.f32 u 4) (.f32 (+.f32 n1_i (neg.f32 n0_i)) 2)))
(+.f32 (.f32 (/.f32 (+.f32 n1_i (neg.f32 n0_i)) 4) (+.f32 u u)) (.f32 (/.f32 (+.f32 n1_i (neg.f32 n0_i)) 4) (+.f32 u u)))
(-.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 0)
(/.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 1)
(/.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u)) 2)
(/.f32 (.f32 u (.f32 (+.f32 n1_i (neg.f32 n0_i)) 4)) 4)
(/.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 u 8)) 8)
(/.f32 (.f32 16 (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 16)
(/.f32 (.f32 2 (.f32 16 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 16 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))) 128)
(pow.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 1)
(-.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 0)
(.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)
(.f32 1 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))
(.f32 2 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1/2))
(.f32 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 1/2)
(.f32 4 (/.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4))
(.f32 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4) 1/4)
(.f32 1/2 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2))
(.f32 1/2 (+.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u)) (+.f32 n0_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1/2) 2)
(.f32 1/4 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4))
(.f32 (/.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4) 4)
(.f32 (+.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u)) (+.f32 n0_i n0_i)) 1/2)
(/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)
(/.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 2)
(/.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4) 4)
(/.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8) 8)
(/.f32 (.f32 2 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 8))))) 128)
(pow.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)

Outputs
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(.f32 -1 (.f32 n0_i u))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(.f32 -1 (.f32 n0_i u))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(.f32 -1 (.f32 n0_i u))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 u (neg.f32 n0_i)))
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(/.f32 (.f32 2 (.f32 2 (.f32 16 (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))) 64)
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(pow.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 u (neg.f32 n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 u n1_i)

Compiler

Compiled 9 to 5 computations (44.4% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u	@	inf	(*.f32 u n1_i)
0.0ms	u	@	0	(*.f32 u n1_i)
0.0ms	u	@	-inf	(*.f32 u n1_i)
0.0ms	n1_i	@	-inf	(*.f32 u n1_i)
0.0ms	n1_i	@	inf	(*.f32 u n1_i)

rewrite412.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

2810×	`rational.json-simplify-2`
1556×	`rational.json-simplify-35`
1362×	`rational.json-1`
1226×	`rational.json-simplify-53`
1142×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	33	7
2	81	7
3	169	7
4	296	7
5	639	7
6	1506	7
7	2621	7
8	3652	7
9	4680	7
10	5703	7
11	6584	7
12	6584	7
13	7915	7

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f32 u n1_i)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (*.f32 n1_i 1/2)) (*.f32 u (*.f32 n1_i 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 u n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u n1_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i (+.f32 u u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i (*.f32 u 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i (*.f32 u 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 8 (*.f32 n1_i (*.f32 u 8)))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 16 (*.f32 u n1_i)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i (*.f32 8 (*.f32 u 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 8 (*.f32 n1_i (*.f32 u 8))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 8 (*.f32 n1_i (*.f32 u 8))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 8 (*.f32 n1_i (*.f32 u 8)))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u n1_i) 1)))))

simplify522.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

3242×	`rational.json-simplify-35`
2872×	`rational.json-simplify-2`
1604×	`rational.json-simplify-53`
1152×	`exponential.json-simplify-26`
1048×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	48	273
1	135	273
2	281	273
3	693	273
4	2327	273
5	3764	273
6	4608	273
7	5016	273
8	5271	273
9	5450	273
10	6259	273
11	6590	273
12	6590	273
13	6590	273
14	6989	273
15	7298	273
16	7460	273
17	7617	273
18	7774	273

Stop Event

1×	node limit

Counts

39 → 16

Calls

Call 1

Inputs
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(+.f32 (*.f32 u n1_i) 0)
(+.f32 0 (*.f32 u n1_i))
(+.f32 (.f32 u (.f32 n1_i 1/2)) (.f32 u (.f32 n1_i 1/2)))
(-.f32 (*.f32 u n1_i) 0)
(/.f32 (*.f32 u n1_i) 1)
(/.f32 (*.f32 n1_i (+.f32 u u)) 2)
(/.f32 (.f32 n1_i (.f32 u 4)) 4)
(/.f32 (.f32 n1_i (.f32 u 8)) 8)
(/.f32 (.f32 2 (.f32 8 (.f32 n1_i (.f32 u 8)))) 128)
(/.f32 (.f32 16 (.f32 u n1_i)) 16)
(/.f32 (.f32 n1_i (.f32 8 (*.f32 u 4))) 32)
(/.f32 (.f32 8 (.f32 n1_i (*.f32 u 8))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 8 (.f32 n1_i (*.f32 u 8))))) 256)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 8 (.f32 n1_i (.f32 u 8)))))) 512)
(pow.f32 (*.f32 u n1_i) 1)

Outputs
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(+.f32 (*.f32 u n1_i) 0)
(*.f32 n1_i u)
(+.f32 0 (*.f32 u n1_i))
(*.f32 n1_i u)
(+.f32 (.f32 u (.f32 n1_i 1/2)) (.f32 u (.f32 n1_i 1/2)))
(*.f32 n1_i u)
(-.f32 (*.f32 u n1_i) 0)
(*.f32 n1_i u)
(/.f32 (*.f32 u n1_i) 1)
(*.f32 n1_i u)
(/.f32 (*.f32 n1_i (+.f32 u u)) 2)
(*.f32 n1_i u)
(/.f32 (.f32 n1_i (.f32 u 4)) 4)
(*.f32 n1_i u)
(/.f32 (.f32 n1_i (.f32 u 8)) 8)
(*.f32 n1_i u)
(/.f32 (.f32 2 (.f32 8 (.f32 n1_i (.f32 u 8)))) 128)
(*.f32 n1_i u)
(/.f32 (.f32 16 (.f32 u n1_i)) 16)
(*.f32 n1_i u)
(/.f32 (.f32 n1_i (.f32 8 (*.f32 u 4))) 32)
(*.f32 n1_i u)
(/.f32 (.f32 8 (.f32 n1_i (*.f32 u 8))) 64)
(*.f32 n1_i u)
(/.f32 (.f32 2 (.f32 2 (.f32 8 (.f32 n1_i (*.f32 u 8))))) 256)
(*.f32 n1_i u)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 8 (.f32 n1_i (.f32 u 8)))))) 512)
(*.f32 n1_i u)
(pow.f32 (*.f32 u n1_i) 1)
(*.f32 n1_i u)

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f32 u normAngle)
✓	0.0b	(/.f32 n1_i (sin.f32 normAngle))
✓	0.1b	(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	1.4b	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))

Compiler

Compiled 35 to 9 computations (74.3% saved)

series4.0ms (0%)

Counts

2 → 52

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	n0_i	@	0	(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
0.0ms	normAngle	@	0	(/.f32 n1_i (sin.f32 normAngle))
0.0ms	normAngle	@	inf	(/.f32 n1_i (sin.f32 normAngle))
0.0ms	normAngle	@	-inf	(/.f32 n1_i (sin.f32 normAngle))
0.0ms	n1_i	@	0	(/.f32 n1_i (sin.f32 normAngle))

rewrite217.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`rational.json-simplify-49`
726×	`rational.json-simplify-44`
662×	`rational.json-simplify-47`
654×	`rational.json-simplify-61`
652×	`rational.json-simplify-43`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	40
1	84	40
2	202	40
3	491	40
4	1279	40
5	5712	40
6	7904	40

Stop Event

1×	node limit

Counts

2 → 75

Calls

Call 1

Inputs
(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 n0_i (*.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 n1_i (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 n1_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 n1_i (neg.f32 (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))) (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 n1_i (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (*.f32 (sin.f32 normAngle) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 n1_i (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 n1_i (*.f32 (*.f32 2 (/.f32 1 (sin.f32 normAngle))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 n1_i (*.f32 (/.f32 2 (sin.f32 normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 normAngle) (/.f32 (/.f32 1 n1_i) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 n1_i (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 n1_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 n1_i n1_i) (/.f32 1/2 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i (/.f32 2 (sin.f32 normAngle))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i 4) (/.f32 (/.f32 1 (sin.f32 normAngle)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i 4) (*.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i 4) (*.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i 4) (*.f32 1/4 (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 normAngle)) n1_i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (/.f32 1 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 n1_i) (/.f32 -1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 n1_i) (*.f32 (/.f32 -1 (sin.f32 normAngle)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 1 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 2 (*.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (*.f32 (sin.f32 normAngle) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i 1/2)) (/.f32 1 (*.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i 1/2)) (/.f32 1/2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 n1_i (*.f32 (sin.f32 normAngle) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 n1_i 4) (sin.f32 normAngle)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i 8) (/.f32 1 (*.f32 (sin.f32 normAngle) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 n1_i (/.f32 2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 n1_i) (/.f32 (sin.f32 normAngle) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (sin.f32 normAngle)) (+.f32 n1_i n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i -2) (/.f32 1/2 (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i -2) (/.f32 1 (*.f32 (sin.f32 normAngle) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i -2) (/.f32 1 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 (sin.f32 normAngle))) (*.f32 n1_i 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 n1_i) (/.f32 (*.f32 (sin.f32 normAngle) 2) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (sin.f32 normAngle)) (*.f32 n1_i 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 normAngle) (/.f32 1/2 n1_i)) (/.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i 1/2) (/.f32 2 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (*.f32 n1_i 4) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 n1_i) (/.f32 (sin.f32 normAngle) (*.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 n1_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4) (*.f32 n1_i 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (sin.f32 normAngle)) (neg.f32 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (*.f32 (sin.f32 normAngle) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 n1_i (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (*.f32 (sin.f32 normAngle) 2))))))))

simplify128.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

994×	`rational.json-simplify-55`
826×	`rational.json-simplify-1`
794×	`rational.json-simplify-51`
786×	`rational.json-simplify-44`
736×	`rational.json-simplify-47`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	221	2911
1	520	2771
2	1231	2695
3	4237	2661
4	7612	2661

Stop Event

1×	node limit

Counts

127 → 124

Calls

Call 1

Inputs
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (.f32 1/720 (.f32 n1_i u)))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2)))) n0_i))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 n1_i normAngle)
(+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle)))
(+.f32 (/.f32 n1_i normAngle) (+.f32 (.f32 1/6 (.f32 n1_i normAngle)) (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (pow.f32 normAngle 3)))))
(+.f32 (/.f32 n1_i normAngle) (+.f32 (.f32 1/6 (.f32 n1_i normAngle)) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i))) (pow.f32 normAngle 5))) (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (*.f32 -1/36 n1_i)) (pow.f32 normAngle 3))))))
(-.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 0)
(.f32 (+.f32 n0_i (.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1)
(.f32 1 (+.f32 n0_i (.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(.f32 2 (.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1/2))
(.f32 (.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 2) 1/2)
(.f32 4 (/.f32 (+.f32 n0_i (.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4))
(.f32 (.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4) 1/4)
(.f32 1/2 (.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 2))
(.f32 (.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1/2) 2)
(/.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1)
(/.f32 (.f32 (+.f32 n0_i (.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 2) 2)
(/.f32 (.f32 (+.f32 n0_i (.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 4))) 16)
(pow.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))) 1)
(+.f32 (/.f32 n1_i (sin.f32 normAngle)) 0)
(+.f32 0 (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 -1 (-.f32 1 (/.f32 n1_i (neg.f32 (sin.f32 normAngle)))))
(+.f32 (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))) (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))))
(-.f32 (/.f32 n1_i (sin.f32 normAngle)) 0)
(-.f32 0 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))
(-.f32 0 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(-.f32 0 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (*.f32 (sin.f32 normAngle) 2))))
(*.f32 n1_i (/.f32 1 (sin.f32 normAngle)))
(.f32 n1_i (.f32 (*.f32 2 (/.f32 1 (sin.f32 normAngle))) 1/2))
(.f32 n1_i (.f32 (/.f32 2 (sin.f32 normAngle)) 1/2))
(.f32 (sin.f32 normAngle) (/.f32 (/.f32 1 n1_i) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) 1)
(*.f32 1 (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (+.f32 n1_i n1_i) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 2 (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (.f32 n1_i (/.f32 2 (sin.f32 normAngle))) 1/2)
(.f32 (.f32 n1_i 4) (/.f32 (/.f32 1 (sin.f32 normAngle)) 4))
(.f32 (.f32 n1_i 4) (*.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (.f32 n1_i 4) (*.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4) 1))
(.f32 (.f32 n1_i 4) (*.f32 1/4 (/.f32 1 (sin.f32 normAngle))))
(*.f32 (/.f32 1 (sin.f32 normAngle)) n1_i)
(*.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (/.f32 1 n1_i)))
(*.f32 (neg.f32 n1_i) (/.f32 -1 (sin.f32 normAngle)))
(.f32 (neg.f32 n1_i) (.f32 (/.f32 -1 (sin.f32 normAngle)) 1))
(.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 2 (.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))
(*.f32 -1 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))
(.f32 -1 (.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) 1))
(.f32 -1 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i 1/2)) (/.f32 1 (.f32 2 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))
(.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i 1/2)) (/.f32 1/2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 4 (/.f32 n1_i (.f32 (sin.f32 normAngle) 4)))
(*.f32 4 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 4))
(.f32 (/.f32 (.f32 n1_i 4) (sin.f32 normAngle)) 1/4)
(.f32 (.f32 n1_i 8) (/.f32 1 (*.f32 (sin.f32 normAngle) 8)))
(.f32 1/2 (.f32 n1_i (/.f32 2 (sin.f32 normAngle))))
(.f32 (/.f32 1 n1_i) (/.f32 (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(*.f32 (/.f32 1/2 (sin.f32 normAngle)) (+.f32 n1_i n1_i))
(.f32 (.f32 n1_i -2) (/.f32 1/2 (neg.f32 (sin.f32 normAngle))))
(.f32 (.f32 n1_i -2) (/.f32 1 (*.f32 (sin.f32 normAngle) -2)))
(.f32 (.f32 n1_i -2) (/.f32 1 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))
(.f32 (.f32 2 (/.f32 1 (sin.f32 normAngle))) (*.f32 n1_i 1/2))
(*.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) -1)
(.f32 (/.f32 1/2 n1_i) (/.f32 (.f32 (sin.f32 normAngle) 2) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (/.f32 2 (sin.f32 normAngle)) (.f32 n1_i 1/2))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 1/2 n1_i)) (/.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))) 2)
(.f32 (.f32 n1_i 1/2) (/.f32 2 (sin.f32 normAngle)))
(.f32 1/4 (/.f32 (.f32 n1_i 4) (sin.f32 normAngle)))
(.f32 (/.f32 2 n1_i) (/.f32 (sin.f32 normAngle) (.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))
(.f32 (/.f32 -1 n1_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4) (.f32 n1_i 4))
(*.f32 (/.f32 -1 (sin.f32 normAngle)) (neg.f32 n1_i))
(.f32 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))) -1)
(.f32 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (.f32 (sin.f32 normAngle) 2))) -1)
(pow.f32 (/.f32 n1_i (sin.f32 normAngle)) 1)
(neg.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(neg.f32 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (*.f32 (sin.f32 normAngle) 2))))

Outputs
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 n0_i (*.f32 n1_i u))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6))))
(+.f32 n0_i (+.f32 (.f32 n1_i (.f32 1/6 (.f32 u (pow.f32 normAngle 2)))) (.f32 n1_i u)))
(+.f32 n0_i (.f32 n1_i (+.f32 u (.f32 u (*.f32 (pow.f32 normAngle 2) 1/6)))))
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(/.f32 n1_i (sin.f32 normAngle))
(.f32 (sin.f32 normAngle) (/.f32 (/.f32 1 n1_i) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) 1)
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 1 (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (+.f32 n1_i n1_i) (/.f32 1/2 (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 2 (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 n1_i (/.f32 2 (sin.f32 normAngle))) 1/2)
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 n1_i 4) (/.f32 (/.f32 1 (sin.f32 normAngle)) 4))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 n1_i 4) (*.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 n1_i 4) (*.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4) 1))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 n1_i 4) (*.f32 1/4 (/.f32 1 (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (/.f32 1 (sin.f32 normAngle)) n1_i)
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (/.f32 1 n1_i)))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (neg.f32 n1_i) (/.f32 -1 (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (neg.f32 n1_i) (.f32 (/.f32 -1 (sin.f32 normAngle)) 1))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 2 (.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 -1 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 -1 (.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) 1))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 -1 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i 1/2)) (/.f32 1 (.f32 2 (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i 1/2)) (/.f32 1/2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 4 (/.f32 n1_i (.f32 (sin.f32 normAngle) 4)))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 4 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 4))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 (.f32 n1_i 4) (sin.f32 normAngle)) 1/4)
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 n1_i 8) (/.f32 1 (*.f32 (sin.f32 normAngle) 8)))
(.f32 n1_i (.f32 8 (/.f32 1/8 (sin.f32 normAngle))))
(.f32 (/.f32 1/8 (sin.f32 normAngle)) (.f32 n1_i 8))
(.f32 1/2 (.f32 n1_i (/.f32 2 (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 1 n1_i) (/.f32 (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (/.f32 1/2 (sin.f32 normAngle)) (+.f32 n1_i n1_i))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 n1_i -2) (/.f32 1/2 (neg.f32 (sin.f32 normAngle))))
(.f32 n1_i (.f32 -2 (/.f32 1/2 (neg.f32 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 -2 (/.f32 -1/2 (sin.f32 normAngle))))
(.f32 (.f32 n1_i -2) (/.f32 1 (*.f32 (sin.f32 normAngle) -2)))
(.f32 (.f32 n1_i -2) (/.f32 1/2 (neg.f32 (sin.f32 normAngle))))
(.f32 n1_i (.f32 -2 (/.f32 1/2 (neg.f32 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 -2 (/.f32 -1/2 (sin.f32 normAngle))))
(.f32 (.f32 n1_i -2) (/.f32 1 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))
(.f32 (.f32 n1_i -2) (/.f32 1/2 (neg.f32 (sin.f32 normAngle))))
(.f32 n1_i (.f32 -2 (/.f32 1/2 (neg.f32 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 -2 (/.f32 -1/2 (sin.f32 normAngle))))
(.f32 (.f32 2 (/.f32 1 (sin.f32 normAngle))) (*.f32 n1_i 1/2))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) -1)
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 1/2 n1_i) (/.f32 (.f32 (sin.f32 normAngle) 2) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 2 (sin.f32 normAngle)) (.f32 n1_i 1/2))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 1/2 n1_i)) (/.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))) 2)
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (.f32 n1_i 1/2) (/.f32 2 (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 1/4 (/.f32 (.f32 n1_i 4) (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 2 n1_i) (/.f32 (sin.f32 normAngle) (.f32 2 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i)))))
(.f32 (/.f32 2 n1_i) (/.f32 (/.f32 (sin.f32 normAngle) 2) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (/.f32 2 n1_i) (/.f32 n1_i (.f32 2 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 (/.f32 2 n1_i) (/.f32 (/.f32 (sin.f32 normAngle) (*.f32 n1_i 1/2)) n1_i))
(.f32 (/.f32 -1 n1_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 (/.f32 1 (sin.f32 normAngle)) 4) (.f32 n1_i 4))
(/.f32 n1_i (sin.f32 normAngle))
(*.f32 (/.f32 -1 (sin.f32 normAngle)) (neg.f32 n1_i))
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))) -1)
(/.f32 n1_i (sin.f32 normAngle))
(.f32 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (.f32 (sin.f32 normAngle) 2))) -1)
(/.f32 n1_i (sin.f32 normAngle))
(pow.f32 (/.f32 n1_i (sin.f32 normAngle)) 1)
(/.f32 n1_i (sin.f32 normAngle))
(neg.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))))
(/.f32 n1_i (sin.f32 normAngle))
(neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 n1_i (sin.f32 normAngle))
(neg.f32 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (*.f32 (sin.f32 normAngle) 2))))
(/.f32 n1_i (sin.f32 normAngle))

localize28.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f32 u normAngle)
✓	0.0b	(/.f32 (sin.f32 normAngle) n1_i)
✓	1.5b	(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))

Compiler

Compiled 29 to 9 computations (69% saved)

series3.0ms (0%)

Counts

2 → 40

Calls

15 calls:

Time	Variable		Point	Expression
0.0ms	normAngle	@	0	(/.f32 (sin.f32 normAngle) n1_i)
0.0ms	n1_i	@	0	(/.f32 (sin.f32 normAngle) n1_i)
0.0ms	normAngle	@	inf	(/.f32 (sin.f32 normAngle) n1_i)
0.0ms	n1_i	@	-inf	(/.f32 (sin.f32 normAngle) n1_i)
0.0ms	normAngle	@	-inf	(/.f32 (sin.f32 normAngle) n1_i)

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1810×	`rational.json-1`
1810×	`rational.json-2`
1810×	`rational.json-4`
1810×	`rational.json-3`
1472×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	83	38
2	244	38
3	738	38
4	2531	38
5	6422	38

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (sin.f32 normAngle) n1_i)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))) (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 n1_i n1_i) (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 2) (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 2) (*.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 2) (*.f32 (/.f32 1 (*.f32 (sin.f32 normAngle) 2)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 n1_i (*.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 u normAngle))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 1/2) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2) (sin.f32 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n1_i (/.f32 2 (sin.f32 normAngle)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) 4) (/.f32 1 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 n1_i 4) (/.f32 1 (/.f32 (*.f32 (sin.f32 normAngle) 4) (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (/.f32 -1 (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 n1_i) (/.f32 -1 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 1 (/.f32 1 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 1 (/.f32 1 (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 (sin.f32 (*.f32 u normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 n1_i (/.f32 2 (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2) (*.f32 (sin.f32 (*.f32 u normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 1/2) (+.f32 n1_i n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/2) (*.f32 (sin.f32 (*.f32 u normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 1 n1_i)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 1 (sin.f32 (*.f32 u normAngle)))) (/.f32 n1_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 n1_i)) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 n1_i (/.f32 1 (sin.f32 (*.f32 u normAngle)))) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 n1_i (*.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 u normAngle))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) 4)) (*.f32 (sin.f32 (*.f32 u normAngle)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (*.f32 (sin.f32 normAngle) 4) (sin.f32 (*.f32 u normAngle)))) (*.f32 n1_i 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (/.f32 (sin.f32 normAngle) n1_i)) (neg.f32 (sin.f32 (*.f32 u normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))) (neg.f32 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 normAngle) n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)) (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 normAngle) n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sin.f32 normAngle) (/.f32 1 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) n1_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 normAngle) 2) (/.f32 1/2 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 normAngle) 2) (*.f32 (/.f32 1 n1_i) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 n1_i) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (sin.f32 normAngle) 4) (/.f32 1 (*.f32 n1_i 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 n1_i) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 -1 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 n1_i)) (/.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 n1_i) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 n1_i) 1/2) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sin.f32 normAngle) 2) (*.f32 2 (/.f32 1 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 n1_i 4)) (*.f32 (sin.f32 normAngle) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 n1_i) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) n1_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))))))

simplify136.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1266×	`rational.json-simplify-2`
940×	`rational.json-simplify-41`
820×	`rational.json-simplify-51`
730×	`rational.json-simplify-1`
666×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	226	3533
1	499	3479
2	1071	3437
3	2919	3383
4	5116	3383
5	6854	3383

Stop Event

1×	node limit

Counts

119 → 129

Calls

Call 1

Inputs
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/5040 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(*.f32 n1_i u)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (.f32 n1_i u))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 normAngle n1_i)
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 normAngle 3) n1_i)) (/.f32 normAngle n1_i))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 3) n1_i)) (+.f32 (/.f32 normAngle n1_i) (.f32 1/120 (/.f32 (pow.f32 normAngle 5) n1_i))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 3) n1_i)) (+.f32 (.f32 -1/5040 (/.f32 (pow.f32 normAngle 7) n1_i)) (+.f32 (/.f32 normAngle n1_i) (*.f32 1/120 (/.f32 (pow.f32 normAngle 5) n1_i)))))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 (sin.f32 normAngle) (/.f32 2 n1_i))) (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 (sin.f32 normAngle) (/.f32 2 n1_i))))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 0)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 1)
(.f32 1 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (+.f32 n1_i n1_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 1/2))
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) 2) (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2))
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) 2) (.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/2))
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) 2) (.f32 (/.f32 1 (*.f32 (sin.f32 normAngle) 2)) n1_i))
(.f32 2 (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))))
(.f32 2 (/.f32 n1_i (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 u normAngle))))))
(.f32 2 (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 2))
(.f32 2 (.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) 1/2) n1_i))
(.f32 2 (.f32 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2) (sin.f32 (*.f32 u normAngle))))
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (/.f32 2 (sin.f32 normAngle)))) 1/2)
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4)))
(.f32 (.f32 n1_i 4) (/.f32 1 (/.f32 (.f32 (sin.f32 normAngle) 4) (sin.f32 (.f32 u normAngle)))))
(.f32 (neg.f32 (sin.f32 (.f32 u normAngle))) (/.f32 -1 (/.f32 (sin.f32 normAngle) n1_i)))
(.f32 (neg.f32 n1_i) (/.f32 -1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 1 (/.f32 1 n1_i)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 1 (/.f32 1 (sin.f32 (.f32 u normAngle)))))
(.f32 -1 (/.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 n1_i)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 (sin.f32 (.f32 u normAngle)))))
(.f32 1/2 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (/.f32 2 (sin.f32 normAngle)))))
(.f32 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2) (.f32 (sin.f32 (*.f32 u normAngle)) 2))
(.f32 (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 1/2) (+.f32 n1_i n1_i))
(.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/2) (.f32 (sin.f32 (.f32 u normAngle)) 2))
(.f32 (/.f32 1 (/.f32 1 n1_i)) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 1 (/.f32 1 (sin.f32 (.f32 u normAngle)))) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -1)
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 n1_i)) (/.f32 1 (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (/.f32 1 (sin.f32 (.f32 u normAngle)))) (/.f32 1 (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))) 2)
(.f32 (/.f32 n1_i (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 u normAngle))))) 2)
(.f32 (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 2) 2)
(.f32 (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4)) (.f32 (sin.f32 (.f32 u normAngle)) 4))
(.f32 (/.f32 1 (/.f32 (.f32 (sin.f32 normAngle) 4) (sin.f32 (.f32 u normAngle)))) (.f32 n1_i 4))
(.f32 (/.f32 -1 (/.f32 (sin.f32 normAngle) n1_i)) (neg.f32 (sin.f32 (.f32 u normAngle))))
(.f32 (/.f32 -1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))) (neg.f32 n1_i))
(pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 1)
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))
(+.f32 (/.f32 (sin.f32 normAngle) n1_i) 0)
(+.f32 0 (/.f32 (sin.f32 normAngle) n1_i))
(+.f32 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)) (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)))
(-.f32 (/.f32 (sin.f32 normAngle) n1_i) 0)
(-.f32 0 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(*.f32 (sin.f32 normAngle) (/.f32 1 n1_i))
(*.f32 (/.f32 (sin.f32 normAngle) n1_i) 1)
(*.f32 1 (/.f32 (sin.f32 normAngle) n1_i))
(.f32 (.f32 (sin.f32 normAngle) 2) (/.f32 1/2 n1_i))
(.f32 (.f32 (sin.f32 normAngle) 2) (*.f32 (/.f32 1 n1_i) 1/2))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n1_i)) 1/2)
(*.f32 2 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)))
(*.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) 2))
(.f32 2 (.f32 (/.f32 1/2 n1_i) (sin.f32 normAngle)))
(.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) 1/4)
(.f32 (.f32 (sin.f32 normAngle) 4) (/.f32 1 (*.f32 n1_i 4)))
(*.f32 (/.f32 1 n1_i) (sin.f32 normAngle))
(*.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) -1)
(*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 -1 n1_i))
(*.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(.f32 (.f32 2 (/.f32 1 n1_i)) (/.f32 (sin.f32 normAngle) 2))
(.f32 1/2 (.f32 (sin.f32 normAngle) (/.f32 2 n1_i)))
(.f32 (/.f32 1/2 n1_i) (.f32 (sin.f32 normAngle) 2))
(.f32 (.f32 (/.f32 1 n1_i) 1/2) (*.f32 (sin.f32 normAngle) 2))
(*.f32 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)) 2)
(.f32 (/.f32 (sin.f32 normAngle) 2) (.f32 2 (/.f32 1 n1_i)))
(.f32 1/4 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4))
(*.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) 2) 2)
(.f32 (/.f32 1 (.f32 n1_i 4)) (*.f32 (sin.f32 normAngle) 4))
(*.f32 (/.f32 -1 n1_i) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) 1)
(neg.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))

Outputs
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1/6 (.f32 (pow.f32 (*.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))))
(+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (.f32 -1/6 (.f32 (pow.f32 (*.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))))
(+.f32 (.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) (.f32 -1/6 (.f32 (pow.f32 (*.f32 u normAngle) 3) (/.f32 n1_i (sin.f32 normAngle)))))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (+.f32 (.f32 u normAngle) (.f32 -1/6 (pow.f32 (.f32 u normAngle) 3))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
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(.f32 (sin.f32 (.f32 u normAngle)) (.f32 1/2 (.f32 n1_i (/.f32 2 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 1/2 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 2 (sin.f32 normAngle)))))
(.f32 (.f32 (sin.f32 (.f32 u normAngle)) 4) (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4)))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 4 (/.f32 1 (.f32 4 (/.f32 (sin.f32 normAngle) n1_i)))))
(.f32 (sin.f32 (.f32 u normAngle)) (*.f32 4 (/.f32 1/4 (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 4 (/.f32 n1_i (.f32 (sin.f32 normAngle) 4))))
(.f32 (.f32 n1_i 4) (/.f32 1 (/.f32 (.f32 (sin.f32 normAngle) 4) (sin.f32 (.f32 u normAngle)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (neg.f32 (sin.f32 (.f32 u normAngle))) (/.f32 -1 (/.f32 (sin.f32 normAngle) n1_i)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (neg.f32 n1_i) (/.f32 -1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 1 (/.f32 1 n1_i)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 1 (/.f32 1 (sin.f32 (.f32 u normAngle)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 n1_i)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 (sin.f32 (.f32 u normAngle)))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 1/2 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (/.f32 2 (sin.f32 normAngle)))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 (.f32 n1_i (/.f32 2 (sin.f32 normAngle))) 1/2))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 1/2 (.f32 n1_i (/.f32 2 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 1/2 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 2 (sin.f32 normAngle)))))
(.f32 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2) (.f32 (sin.f32 (*.f32 u normAngle)) 2))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) 1/2) (+.f32 n1_i n1_i))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/2) (.f32 (sin.f32 (.f32 u normAngle)) 2))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 1 (/.f32 1 n1_i)) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 1 (/.f32 1 (sin.f32 (.f32 u normAngle)))) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -1)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 n1_i)) (/.f32 1 (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (/.f32 1 (sin.f32 (.f32 u normAngle)))) (/.f32 1 (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (sin.f32 normAngle) (/.f32 2 n1_i))) 2)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 u normAngle))))) 2)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 2) 2)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4)) (.f32 (sin.f32 (.f32 u normAngle)) 4))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 4 (/.f32 1 (.f32 4 (/.f32 (sin.f32 normAngle) n1_i)))))
(.f32 (sin.f32 (.f32 u normAngle)) (*.f32 4 (/.f32 1/4 (/.f32 (sin.f32 normAngle) n1_i))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 4 (/.f32 n1_i (.f32 (sin.f32 normAngle) 4))))
(.f32 (/.f32 1 (/.f32 (.f32 (sin.f32 normAngle) 4) (sin.f32 (.f32 u normAngle)))) (.f32 n1_i 4))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 -1 (/.f32 (sin.f32 normAngle) n1_i)) (neg.f32 (sin.f32 (.f32 u normAngle))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 -1 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))) (neg.f32 n1_i))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) 1)
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(neg.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (sin.f32 normAngle) n1_i) 0)
(/.f32 (sin.f32 normAngle) n1_i)
(+.f32 0 (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (sin.f32 normAngle) n1_i)
(+.f32 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)) (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)))
(/.f32 (sin.f32 normAngle) n1_i)
(-.f32 (/.f32 (sin.f32 normAngle) n1_i) 0)
(/.f32 (sin.f32 normAngle) n1_i)
(-.f32 0 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 (sin.f32 normAngle) (/.f32 1 n1_i))
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 (/.f32 (sin.f32 normAngle) n1_i) 1)
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 1 (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (.f32 (sin.f32 normAngle) 2) (/.f32 1/2 n1_i))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (.f32 (sin.f32 normAngle) 2) (*.f32 (/.f32 1 n1_i) 1/2))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n1_i)) 1/2)
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 2 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)))
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) 2))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 2 (.f32 (/.f32 1/2 n1_i) (sin.f32 normAngle)))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) 1/4)
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (.f32 (sin.f32 normAngle) 4) (/.f32 1 (*.f32 n1_i 4)))
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 (/.f32 1 n1_i) (sin.f32 normAngle))
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) -1)
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 -1 n1_i))
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (.f32 2 (/.f32 1 n1_i)) (/.f32 (sin.f32 normAngle) 2))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 1/2 (.f32 (sin.f32 normAngle) (/.f32 2 n1_i)))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (/.f32 1/2 n1_i) (.f32 (sin.f32 normAngle) 2))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (.f32 (/.f32 1 n1_i) 1/2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)) 2)
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (/.f32 (sin.f32 normAngle) 2) (.f32 2 (/.f32 1 n1_i)))
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 1/4 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4))
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) 2) 2)
(/.f32 (sin.f32 normAngle) n1_i)
(.f32 (/.f32 1 (.f32 n1_i 4)) (*.f32 (sin.f32 normAngle) 4))
(/.f32 (sin.f32 normAngle) n1_i)
(*.f32 (/.f32 -1 n1_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (sin.f32 normAngle) n1_i)
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) 1)
(/.f32 (sin.f32 normAngle) n1_i)
(neg.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(/.f32 (sin.f32 normAngle) n1_i)

localize156.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 n1_i (.f32 u normAngle))
	0.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	7.9b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))

Compiler

Compiled 78 to 39 computations (50% saved)

series7.0ms (0%)

Counts

2 → 48

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
1.0ms	normAngle	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
1.0ms	normAngle	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
0.0ms	u	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
0.0ms	u	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))

rewrite88.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1616×	`rational.json-simplify-35`
1204×	`rational.json-1`
1204×	`rational.json-2`
1204×	`rational.json-4`
1204×	`rational.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	70
1	134	64
2	290	64
3	638	64
4	1386	64
5	4017	64

Stop Event

1×	node limit

Counts

2 → 96

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (/.f32 1/2 (sin.f32 normAngle))) (*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (*.f32 (*.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 2 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (+.f32 (*.f32 (*.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))))) 2) (*.f32 (*.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (/.f32 (*.f32 (sin.f32 normAngle) 4) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 (/.f32 2 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (*.f32 (/.f32 (*.f32 (sin.f32 normAngle) 4) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (/.f32 2 (sin.f32 normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) 2) (*.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 2 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 2 (sin.f32 normAngle)) (+.f32 (/.f32 1 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i)))) (/.f32 1 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 (neg.f32 (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (neg.f32 (/.f32 (sin.f32 normAngle) (+.f32 (*.f32 (sin.f32 (*.f32 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(*.f32 normAngle (*.f32 u n1_i))) 1/2)) (-.f32 0 (*.f32 (sin.f32 normAngle) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (*.f32 2 (neg.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))))))) (-.f32 0 (*.f32 2 (*.f32 (sin.f32 normAngle) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (neg.f32 (*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) 2)))) (-.f32 0 (*.f32 2 (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 2 (neg.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))))))) (*.f32 (sin.f32 normAngle) -2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) 2)))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i) (*.f32 normAngle (*.f32 u n1_i))) (neg.f32 (sin.f32 normAngle))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (*.f32 u n1_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 normAngle (*.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (*.f32 u n1_i) 2)) (*.f32 normAngle (/.f32 (*.f32 u n1_i) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 normAngle (*.f32 u n1_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (*.f32 u n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (*.f32 u (+.f32 n1_i n1_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (*.f32 (*.f32 normAngle n1_i) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 u (*.f32 (*.f32 normAngle n1_i) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 u (*.f32 (*.f32 normAngle n1_i) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 u (*.f32 (*.f32 normAngle n1_i) 4)))) (*.f32 2 (*.f32 2 (*.f32 u (*.f32 (*.f32 normAngle n1_i) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 normAngle (*.f32 u n1_i)) 1)))))

simplify354.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1742×	`rational.json-simplify-35`
1282×	`rational.json-simplify-41`
1180×	`rational.json-simplify-53`
1062×	`rational.json-simplify-43`
890×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	319	8058
1	935	7944
2	2563	7944
3	5503	7944

Stop Event

1×	node limit

Counts

144 → 150

Calls

Call 1

Inputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) n0_i)) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 6))))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
n0_i
(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))))))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle)))))))
(+.f32 (.f32 1/6 (/.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3)))) (sin.f32 normAngle))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)))
(+.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (/.f32 1/2 (sin.f32 normAngle))) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (/.f32 1/2 (sin.f32 normAngle))))
(-.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 0)
(/.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))
(/.f32 1 (.f32 (.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) 2))
(/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
(/.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 1)
(/.f32 2 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))))
(/.f32 2 (+.f32 (.f32 (.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) 2) (.f32 (.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) 2)))
(/.f32 4 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i)))))
(/.f32 4 (.f32 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle))) 2))
(/.f32 4 (.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) 1))
(/.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))) (/.f32 2 (sin.f32 normAngle))) 2)
(/.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2) (.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))
(/.f32 (/.f32 2 (sin.f32 normAngle)) (+.f32 (/.f32 1 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 1 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))
(/.f32 -1 (/.f32 (neg.f32 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))
(/.f32 -1 (neg.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))
(/.f32 8 (.f32 2 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))
(/.f32 8 (/.f32 (.f32 (sin.f32 normAngle) 8) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i)))))
(/.f32 8 (+.f32 (.f32 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))) 2) (.f32 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))) 2)))
(/.f32 8 (+.f32 (.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) 1) (.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) 1)))
(/.f32 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)) 4) 4)
(/.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4) (.f32 (sin.f32 normAngle) 4))
(/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 4) (+.f32 (/.f32 2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))))))
(/.f32 -2 (neg.f32 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)))))
(/.f32 -2 (+.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 (neg.f32 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))
(/.f32 -2 (+.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) (neg.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))))
(/.f32 1/2 (.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))))))
(/.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))))))
(/.f32 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))) (.f32 2 (.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))))
(/.f32 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))) (.f32 (.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) 2))
(/.f32 16 (+.f32 (.f32 2 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) (.f32 2 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))))
(/.f32 16 (+.f32 (/.f32 (.f32 (sin.f32 normAngle) 8) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 (.f32 (sin.f32 normAngle) 8) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (*.f32 (sin.f32 normAngle) 8))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (*.f32 8 (sin.f32 normAngle)))
(/.f32 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 4)) 8)
(/.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) (.f32 (sin.f32 normAngle) -2))
(/.f32 -4 (+.f32 (neg.f32 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)))) (neg.f32 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))))))
(/.f32 -4 (-.f32 0 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))))))
(/.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (.f32 (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))) (/.f32 2 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)))))
(/.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (+.f32 (.f32 (.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) 2) (.f32 (.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))))) 2)))
(/.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))) (/.f32 1/2 (sin.f32 normAngle))) 1/2)
(/.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 1/2) (.f32 (sin.f32 normAngle) 1/2))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)) (.f32 (sin.f32 normAngle) -2))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)) (neg.f32 (.f32 (sin.f32 normAngle) 2)))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (.f32 2 (*.f32 (sin.f32 normAngle) 8)))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (+.f32 (.f32 8 (sin.f32 normAngle)) (*.f32 8 (sin.f32 normAngle))))
(/.f32 (.f32 2 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)) 4))) 16)
(/.f32 (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(/.f32 -1/2 (-.f32 0 (.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i)))))))
(/.f32 (neg.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (neg.f32 (*.f32 (sin.f32 normAngle) 8)))
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (sin.f32 normAngle)) 8)
(/.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (neg.f32 (sin.f32 normAngle))) -1)
(/.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (neg.f32 (.f32 (sin.f32 normAngle) 4)))
(/.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) (-.f32 0 (.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i)))))))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))) (neg.f32 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (.f32 (sin.f32 normAngle) 2))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (neg.f32 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (+.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (.f32 (sin.f32 normAngle) 4)) (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (.f32 (sin.f32 normAngle) 4))) 1/2)
(/.f32 (+.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (neg.f32 (sin.f32 normAngle))) (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (neg.f32 (sin.f32 normAngle)))) -2)
(/.f32 (+.f32 (/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (sin.f32 normAngle)) (/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (sin.f32 normAngle))) 16)
(/.f32 (+.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 4))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 4))) (.f32 2 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 4)))) 32)
(/.f32 (+.f32 (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))) (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))) (.f32 2 (.f32 2 (*.f32 (sin.f32 normAngle) -2))))
(/.f32 (+.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)))) (.f32 2 (.f32 2 (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))
(/.f32 (+.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))) (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))) (+.f32 (neg.f32 (.f32 (sin.f32 normAngle) -2)) (neg.f32 (.f32 (sin.f32 normAngle) -2))))
(/.f32 (+.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)))) (*.f32 (sin.f32 normAngle) 4))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (.f32 (sin.f32 normAngle) 4))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (-.f32 0 (neg.f32 (.f32 (sin.f32 normAngle) 4))))
(/.f32 (neg.f32 (/.f32 1 (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))
(/.f32 (neg.f32 (/.f32 2 (sin.f32 normAngle))) (-.f32 0 (/.f32 2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 1/2)) (-.f32 0 (.f32 (sin.f32 normAngle) 1/2)))
(/.f32 (neg.f32 (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))) (-.f32 0 (.f32 2 (.f32 (sin.f32 normAngle) -2))))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)))) (-.f32 0 (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2)))))
(/.f32 (neg.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))) (.f32 (sin.f32 normAngle) -2))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)))) (neg.f32 (.f32 (sin.f32 normAngle) 2)))
(pow.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 1)
(neg.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (neg.f32 (sin.f32 normAngle))))
(+.f32 (.f32 normAngle (.f32 u n1_i)) 0)
(+.f32 0 (.f32 normAngle (.f32 u n1_i)))
(+.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) 2)) (.f32 normAngle (/.f32 (.f32 u n1_i) 2)))
(-.f32 (.f32 normAngle (.f32 u n1_i)) 0)
(/.f32 (.f32 normAngle (.f32 u n1_i)) 1)
(/.f32 (.f32 normAngle (.f32 u (+.f32 n1_i n1_i))) 2)
(/.f32 (.f32 u (.f32 (*.f32 normAngle n1_i) 4)) 4)
(/.f32 (.f32 2 (.f32 u (.f32 (.f32 normAngle n1_i) 4))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 u (.f32 (*.f32 normAngle n1_i) 4)))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 u (.f32 (.f32 normAngle n1_i) 4)))) (.f32 2 (.f32 2 (.f32 u (.f32 (.f32 normAngle n1_i) 4))))) 32)
(pow.f32 (.f32 normAngle (.f32 u n1_i)) 1)

Outputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 -1/6 (.f32 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)))))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2))))
(+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) n0_i)) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i))))
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n0_i
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(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (.f32 2 (*.f32 (sin.f32 normAngle) 8)))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (+.f32 (.f32 8 (sin.f32 normAngle)) (*.f32 8 (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 2 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i))) (sin.f32 normAngle)) 4))) 16)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (.f32 2 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 -1/2 (-.f32 0 (.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i)))))))
(/.f32 (/.f32 1 (.f32 (sin.f32 normAngle) (/.f32 1/2 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (*.f32 u normAngle)))))) 2)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (/.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))
(/.f32 (neg.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (neg.f32 (*.f32 (sin.f32 normAngle) 8)))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (sin.f32 normAngle)) 8)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (neg.f32 (sin.f32 normAngle))) -1)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (neg.f32 (.f32 (sin.f32 normAngle) 4)))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))) (-.f32 0 (.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))) (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (*.f32 u n1_i)))))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))) (neg.f32 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (.f32 (sin.f32 normAngle) 2))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (neg.f32 (.f32 (sin.f32 normAngle) -2)))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (.f32 (sin.f32 normAngle) 4)) (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (.f32 (sin.f32 normAngle) 4))) 1/2)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (neg.f32 (sin.f32 normAngle))) (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (neg.f32 (sin.f32 normAngle)))) -2)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (sin.f32 normAngle)) (/.f32 (.f32 2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (sin.f32 normAngle))) 16)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4)) (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 4))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 4))) (.f32 2 (.f32 2 (.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 4)))) 32)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))) (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))) (.f32 2 (.f32 2 (*.f32 (sin.f32 normAngle) -2))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)))) (.f32 2 (.f32 2 (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i)))))) (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))) (+.f32 (neg.f32 (.f32 (sin.f32 normAngle) -2)) (neg.f32 (.f32 (sin.f32 normAngle) -2))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2))) (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)))) (*.f32 (sin.f32 normAngle) 4))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (.f32 (sin.f32 normAngle) 4))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 4))) (-.f32 0 (neg.f32 (.f32 (sin.f32 normAngle) 4))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (/.f32 1 (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (/.f32 2 (sin.f32 normAngle))) (-.f32 0 (/.f32 2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 1/2)) (-.f32 0 (.f32 (sin.f32 normAngle) 1/2)))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 2 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))) (-.f32 0 (.f32 2 (.f32 (sin.f32 normAngle) -2))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)))) (-.f32 0 (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 2)))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))))))) (.f32 (sin.f32 normAngle) -2))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) 2)))) (neg.f32 (.f32 (sin.f32 normAngle) 2)))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(pow.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle)) 1)
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(neg.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) normAngle))) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(+.f32 (.f32 normAngle (.f32 u n1_i)) 0)
(.f32 n1_i (.f32 u normAngle))
(+.f32 0 (.f32 normAngle (.f32 u n1_i)))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 normAngle (/.f32 (.f32 u n1_i) 2)) (.f32 normAngle (/.f32 (.f32 u n1_i) 2)))
(+.f32 (.f32 normAngle (.f32 n1_i (/.f32 u 2))) (.f32 normAngle (.f32 n1_i (/.f32 u 2))))
(.f32 (.f32 n1_i (/.f32 u 2)) (+.f32 normAngle normAngle))
(.f32 normAngle (.f32 (/.f32 u 2) (+.f32 n1_i n1_i)))
(-.f32 (.f32 normAngle (.f32 u n1_i)) 0)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 normAngle (.f32 u n1_i)) 1)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 normAngle (.f32 u (+.f32 n1_i n1_i))) 2)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 u (.f32 (*.f32 normAngle n1_i) 4)) 4)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 2 (.f32 u (.f32 (.f32 normAngle n1_i) 4))) 8)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 2 (.f32 2 (.f32 u (.f32 (*.f32 normAngle n1_i) 4)))) 16)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 u (.f32 (.f32 normAngle n1_i) 4)))) (.f32 2 (.f32 2 (.f32 u (.f32 (.f32 normAngle n1_i) 4))))) 32)
(.f32 n1_i (.f32 u normAngle))
(pow.f32 (.f32 normAngle (.f32 u n1_i)) 1)
(.f32 n1_i (.f32 u normAngle))

eval248.0ms (1%)

Compiler: Compiled 17618 to 8630 computations (51% saved)

prune300.0ms (1.2%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	802	10	812
Fresh	5	12	17
Picked	1	0	1
Done	3	3	6
Total	811	25	836

Error

Counts

836 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
▶	8.7b	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	15.9b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	23.2b	(/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle))
	20.9b	(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 normAngle n1_i))
▶	0.5b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	0.9b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	0.6b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	6.0b	(+.f32 (*.f32 n1_i u) n0_i)
	0.5b	(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
	6.5b	(+.f32 n0_i (/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
▶	9.7b	(+.f32 n0_i (/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))))
	6.6b	(+.f32 n0_i (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i))
	6.7b	(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i normAngle)))
▶	6.6b	(+.f32 n0_i (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i)))))
	12.4b	(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (.f32 n1_i (*.f32 u normAngle))))
	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n1_i (.f32 (pow.f32 (.f32 u normAngle) 3) -1/6)))))
✓	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
▶	12.4b	(*.f32 (-.f32 1 u) n0_i)
✓	20.4b	(*.f32 u n1_i)
	20.8b	(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
	16.4b	n0_i

Compiler

Compiled 743 to 503 computations (32.3% saved)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

2 → 51

Calls

18 calls:

Time	Variable		Point	Expression
0.0ms	n1_i	@	inf	(*.f32 (-.f32 n1_i n0_i) u)
0.0ms	n1_i	@	inf	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
0.0ms	n0_i	@	-inf	(*.f32 (-.f32 n1_i n0_i) u)
0.0ms	n1_i	@	0	(*.f32 (-.f32 n1_i n0_i) u)
0.0ms	n1_i	@	-inf	(*.f32 (-.f32 n1_i n0_i) u)

rewrite118.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1812×	`rational.json-1`
1576×	`rational.json-simplify-35`
1284×	`rational.json-2`
1284×	`rational.json-3`
1276×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	52	32
2	114	32
3	248	32
4	474	32
5	1115	32
6	3171	32
7	5879	32
8	7874	32

Stop Event

1×	node limit

Counts

2 → 34

Calls

Call 1

Inputs
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 n1_i n0_i) u) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (-.f32 n1_i n0_i) u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 u 1/2)) (*.f32 (-.f32 n1_i n0_i) (*.f32 u 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (-.f32 n1_i n0_i) u) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 n1_i n0_i) u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 n1_i n0_i) (+.f32 u u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 u 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 n1_i n0_i) (*.f32 u 8)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (-.f32 n1_i n0_i) (*.f32 u 8))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (-.f32 n1_i n0_i) (*.f32 u 8)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (-.f32 n1_i n0_i) (*.f32 u 8))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (-.f32 n1_i n0_i) (*.f32 u 8))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (-.f32 n1_i n0_i) (*.f32 u 8)))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8)))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1)))))

simplify509.0ms (2%)

Algorithm

1×	egg-herbie

Rules

3722×	`rational.json-simplify-41`
2476×	`rational.json-simplify-35`
2122×	`rational.json-simplify-2`
764×	`rational.json-simplify-53`
676×	`exponential.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	1741
1	221	1495
2	555	1495
3	1435	1451
4	2704	1451
5	3406	1451
6	3802	1451
7	4178	1451
8	4420	1451
9	4576	1451
10	4709	1451
11	5128	1451
12	5300	1451
13	5368	1451
14	5425	1451
15	5542	1451
16	5639	1451
17	5707	1451
18	5842	1451
19	5975	1451

Stop Event

1×	node limit

Counts

85 → 63

Calls

Call 1

Inputs
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
n0_i
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) 0)
(+.f32 0 (*.f32 (-.f32 n1_i n0_i) u))
(+.f32 (.f32 (-.f32 n1_i n0_i) (.f32 u 1/2)) (.f32 (-.f32 n1_i n0_i) (.f32 u 1/2)))
(-.f32 (*.f32 (-.f32 n1_i n0_i) u) 0)
(/.f32 (*.f32 (-.f32 n1_i n0_i) u) 1)
(/.f32 (*.f32 (-.f32 n1_i n0_i) (+.f32 u u)) 2)
(/.f32 (.f32 (-.f32 n1_i n0_i) (.f32 u 4)) 4)
(/.f32 (.f32 (-.f32 n1_i n0_i) (.f32 u 8)) 8)
(/.f32 (.f32 2 (.f32 (-.f32 n1_i n0_i) (*.f32 u 8))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 n1_i n0_i) (.f32 u 8)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 n1_i n0_i) (*.f32 u 8))))) 64)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 n1_i n0_i) (.f32 u 8))))) (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 n1_i n0_i) (.f32 u 8)))))) 128)
(pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 1)
(-.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 0)
(.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 1)
(.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))
(.f32 2 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/2))
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 2) 1/2)
(.f32 4 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/4))
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 4) 1/4)
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8) 1/8)
(.f32 1/2 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 2))
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/2) 2)
(.f32 1/4 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 4))
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/4) 4)
(/.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1)
(/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 2) 2)
(/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 4) 4)
(/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 8) 8)
(/.f32 (.f32 2 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8)))) 64)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 8)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 8))))) 128)
(pow.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1)

Outputs
(.f32 -1 (.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(.f32 -1 (.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(.f32 -1 (.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(.f32 n0_i (+.f32 1 (.f32 -1 u)))
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 n0_i (+.f32 1 (.f32 -1 u)))
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
n0_i
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) 0)
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 0 (*.f32 (-.f32 n1_i n0_i) u))
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) (.f32 u 1/2)) (.f32 (-.f32 n1_i n0_i) (.f32 u 1/2)))
(*.f32 u (-.f32 n1_i n0_i))
(-.f32 (*.f32 (-.f32 n1_i n0_i) u) 0)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (*.f32 (-.f32 n1_i n0_i) u) 1)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (*.f32 (-.f32 n1_i n0_i) (+.f32 u u)) 2)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (.f32 (-.f32 n1_i n0_i) (.f32 u 4)) 4)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (.f32 (-.f32 n1_i n0_i) (.f32 u 8)) 8)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (.f32 2 (.f32 (-.f32 n1_i n0_i) (*.f32 u 8))) 16)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 n1_i n0_i) (.f32 u 8)))) 32)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 n1_i n0_i) (*.f32 u 8))))) 64)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 n1_i n0_i) (.f32 u 8))))) (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 n1_i n0_i) (.f32 u 8)))))) 128)
(*.f32 u (-.f32 n1_i n0_i))
(pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 1)
(*.f32 u (-.f32 n1_i n0_i))
(-.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 0)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 1)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 2 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/2))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 2) 1/2)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 4 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/4))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 4) 1/4)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8) 1/8)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 1/2 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 2))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/2) 2)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 1/4 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 4))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1/4) 4)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 2) 2)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 4) 4)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 8) 8)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (.f32 2 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8)) 16)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 8))) 32)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 8)))) 64)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 8)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 8))))) 128)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(pow.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 n0_i (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i)))))
✓	0.2b	(.f32 normAngle (.f32 1/6 n1_i))
✓	0.3b	(*.f32 1/6 n1_i)
✓	1.4b	(.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i))))

Compiler

Compiled 60 to 27 computations (55% saved)

series9.0ms (0%)

Counts

4 → 108

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	n1_i	@	0	(.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i))))
1.0ms	u	@	0	(.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i))))
1.0ms	normAngle	@	-inf	(.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i))))
1.0ms	n1_i	@	inf	(.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i))))
1.0ms	normAngle	@	0	(.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i))))

rewrite113.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`rational.json-1`
1640×	`rational.json-2`
1640×	`rational.json-4`
1640×	`rational.json-3`
1632×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	97	100
2	217	100
3	522	100
4	1269	100
5	4755	100

Stop Event

1×	node limit

Counts

4 → 42

Calls

Call 1

Inputs
(.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i))))
(*.f32 1/6 n1_i)
(.f32 normAngle (.f32 1/6 n1_i))
(+.f32 n0_i (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i)))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (+.f32 normAngle normAngle))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (.f32 u (.f32 normAngle 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (.f32 u (.f32 normAngle 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (.f32 u (.f32 normAngle 4)))) (.f32 2 (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (.f32 u (.f32 normAngle 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (*.f32 n1_i 1/6)))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n1_i 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 n1_i 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 n1_i 1/6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n1_i 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n1_i 1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n1_i 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 n1_i 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 n1_i 2/3)) (.f32 2 (.f32 n1_i 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 n1_i 1/6) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 normAngle (.f32 n1_i 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 normAngle (.f32 n1_i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 normAngle (.f32 n1_i 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 normAngle (.f32 n1_i 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 normAngle (.f32 n1_i 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 normAngle (.f32 n1_i 2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 normAngle (.f32 n1_i 2/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 normAngle (.f32 n1_i 2/3))) (.f32 2 (.f32 normAngle (.f32 n1_i 2/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 normAngle (*.f32 n1_i 1/6)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4)) (.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (*.f32 n1_i 1/6)))) n0_i) 1)))))

simplify247.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1170×	`rational.json-simplify-35`
1010×	`rational.json-simplify-2`
982×	`rational.json-simplify-53`
902×	`rational.json-simplify-46`
880×	`rational.json-simplify-59`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	118	4596
1	276	4472
2	645	4472
3	1618	4472
4	3282	4472
5	4440	4472
6	5875	4440
7	6739	4440
8	7587	4440

Stop Event

1×	node limit

Counts

150 → 90

Calls

Call 1

Inputs
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(.f32 -1 (.f32 n1_i (.f32 (-.f32 (.f32 -1/6 normAngle) (/.f32 1 normAngle)) (*.f32 u normAngle))))
(.f32 -1 (.f32 n1_i (.f32 (-.f32 (.f32 -1/6 normAngle) (/.f32 1 normAngle)) (*.f32 u normAngle))))
(.f32 -1 (.f32 n1_i (.f32 (-.f32 (.f32 -1/6 normAngle) (/.f32 1 normAngle)) (*.f32 u normAngle))))
(.f32 -1 (.f32 n1_i (.f32 (-.f32 (.f32 -1/6 normAngle) (/.f32 1 normAngle)) (*.f32 u normAngle))))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 1/6 (.f32 n1_i normAngle))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
n0_i
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
n0_i
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
n0_i
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle)))
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
n0_i
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))) n0_i)
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))) n0_i)
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))) n0_i)
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))) n0_i)
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))) n0_i)
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))) n0_i)
(.f32 -1 (.f32 n1_i (.f32 (-.f32 (.f32 -1/6 normAngle) (/.f32 1 normAngle)) (*.f32 u normAngle))))
(+.f32 (.f32 -1 (.f32 n1_i (.f32 (-.f32 (.f32 -1/6 normAngle) (/.f32 1 normAngle)) (*.f32 u normAngle)))) n0_i)
(+.f32 (.f32 -1 (.f32 n1_i (.f32 (-.f32 (.f32 -1/6 normAngle) (/.f32 1 normAngle)) (*.f32 u normAngle)))) n0_i)
(+.f32 (.f32 -1 (.f32 n1_i (.f32 (-.f32 (.f32 -1/6 normAngle) (/.f32 1 normAngle)) (*.f32 u normAngle)))) n0_i)
(+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) 0)
(+.f32 0 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))
(-.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) 0)
(/.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) 1)
(/.f32 (.f32 u (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (+.f32 normAngle normAngle))) 2)
(/.f32 (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (.f32 u (*.f32 normAngle 4))) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (.f32 u (.f32 normAngle 4)))) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (.f32 u (.f32 normAngle 4)))) (.f32 2 (.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))) (.f32 u (.f32 normAngle 4))))) 16)
(pow.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) 1)
(+.f32 (*.f32 n1_i 1/6) 0)
(+.f32 0 (*.f32 n1_i 1/6))
(-.f32 (*.f32 n1_i 1/6) 0)
(/.f32 (*.f32 n1_i 1/6) 1)
(/.f32 (*.f32 n1_i 1/3) 2)
(/.f32 (*.f32 n1_i 2/3) 4)
(/.f32 (.f32 2 (.f32 n1_i 2/3)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 n1_i 2/3)) (.f32 2 (.f32 n1_i 2/3))) 16)
(pow.f32 (*.f32 n1_i 1/6) 1)
(+.f32 (.f32 normAngle (.f32 n1_i 1/6)) 0)
(+.f32 0 (.f32 normAngle (.f32 n1_i 1/6)))
(-.f32 (.f32 normAngle (.f32 n1_i 1/6)) 0)
(/.f32 (.f32 normAngle (.f32 n1_i 1/6)) 1)
(/.f32 (.f32 normAngle (.f32 n1_i 1/3)) 2)
(/.f32 (.f32 normAngle (.f32 n1_i 2/3)) 4)
(/.f32 (.f32 2 (.f32 normAngle (*.f32 n1_i 2/3))) 8)
(/.f32 (+.f32 (.f32 2 (.f32 normAngle (.f32 n1_i 2/3))) (.f32 2 (.f32 normAngle (.f32 n1_i 2/3)))) 16)
(pow.f32 (.f32 normAngle (.f32 n1_i 1/6)) 1)
(-.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 0)
(.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (*.f32 n1_i 1/6)))) n0_i) 1)
(.f32 1 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (*.f32 n1_i 1/6)))) n0_i))
(.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1/2))
(.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 2) 1/2)
(.f32 4 (/.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (*.f32 n1_i 1/6)))) n0_i) 4))
(.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4) 1/4)
(.f32 1/2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 2))
(.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1/2) 2)
(/.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1)
(/.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (*.f32 n1_i 1/6)))) n0_i) 2) 2)
(/.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (*.f32 n1_i 1/6)))) n0_i) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4)) (.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4))) 16)
(pow.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1)

Outputs
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(.f32 (+.f32 (/.f32 n1_i normAngle) (.f32 1/6 (.f32 n1_i normAngle))) (.f32 u normAngle))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6))))
(.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6))))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6)))
(.f32 n1_i (+.f32 u (.f32 1/6 (*.f32 u (pow.f32 normAngle 2)))))
(.f32 u (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6)))
(.f32 n1_i (+.f32 u (.f32 1/6 (*.f32 u (pow.f32 normAngle 2)))))
(.f32 u (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6)))
(.f32 n1_i (+.f32 u (.f32 1/6 (*.f32 u (pow.f32 normAngle 2)))))
(.f32 u (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 n1_i (.f32 (*.f32 u (pow.f32 normAngle 2)) 1/6))
(.f32 n1_i (.f32 1/6 (*.f32 u (pow.f32 normAngle 2))))
(.f32 (pow.f32 normAngle 2) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6)))
(.f32 n1_i (+.f32 u (.f32 1/6 (*.f32 u (pow.f32 normAngle 2)))))
(.f32 u (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6)))
(.f32 n1_i (+.f32 u (.f32 1/6 (*.f32 u (pow.f32 normAngle 2)))))
(.f32 u (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i u) (.f32 n1_i (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6)))
(.f32 n1_i (+.f32 u (.f32 1/6 (*.f32 u (pow.f32 normAngle 2)))))
(.f32 u (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))
(.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))
(.f32 n1_i (.f32 (*.f32 u (pow.f32 normAngle 2)) 1/6))
(.f32 n1_i (.f32 1/6 (*.f32 u (pow.f32 normAngle 2))))
(.f32 (pow.f32 normAngle 2) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
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(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6)))))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))
(.f32 1/2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 2))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6)))))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))
(.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1/2) 2)
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6)))))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))
(/.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1)
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6)))))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))
(/.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (*.f32 n1_i 1/6)))) n0_i) 2) 2)
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6)))))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))
(/.f32 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (*.f32 n1_i 1/6)))) n0_i) 4) 4)
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6)))))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4)) 8)
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6)))))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4)) (.f32 2 (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 4))) 16)
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6)))))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))
(pow.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))) n0_i) 1)
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 normAngle 1/6)))))
(+.f32 n0_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 n1_i 1/6)))))

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 n0_i (/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))))
✓	0.1b	(.f32 u (.f32 normAngle n1_i))
✓	1.7b	(/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))))
✓	11.6b	(/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))

Compiler

Compiled 49 to 14 computations (71.4% saved)

series6.0ms (0%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
1.0ms	normAngle	@	-inf	(/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))
0.0ms	normAngle	@	0	(/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))
0.0ms	normAngle	@	inf	(/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))
0.0ms	u	@	0	(/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))
0.0ms	n1_i	@	0	(/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))

rewrite79.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1472×	`exponential.json-3`
1472×	`rational.json-1`
1472×	`rational.json-2`
1472×	`rational.json-4`
1472×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	88
1	111	88
2	299	88
3	949	88
4	3958	88

Stop Event

1×	node limit

Counts

4 → 168

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sin.f32 normAngle) (/.f32 1 (.f32 u (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 normAngle) 2) (/.f32 1/2 (.f32 u (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 normAngle) 2) (.f32 (/.f32 1 (.f32 u (.f32 normAngle n1_i))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle n1_i) (+.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 u (.f32 normAngle n1_i)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) u) (/.f32 1 (.f32 normAngle n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 normAngle) 4) (/.f32 1 (.f32 u (.f32 (.f32 normAngle n1_i) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 normAngle) (/.f32 2 u)) (/.f32 1 (.f32 normAngle (+.f32 n1_i n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 1 u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) normAngle) (/.f32 1 (.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) (/.f32 1 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) (.f32 u n1_i)) (/.f32 1 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 u) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 u (.f32 normAngle n1_i))) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 u (.f32 normAngle n1_i))) (/.f32 1 (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (sin.f32 normAngle) (.f32 normAngle (.f32 n1_i (neg.f32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (/.f32 (sin.f32 normAngle) u) (neg.f32 (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (sin.f32 normAngle)) (/.f32 1 (.f32 normAngle (.f32 n1_i (neg.f32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) (neg.f32 u)) (/.f32 1 (neg.f32 (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 1 (.f32 u (.f32 normAngle n1_i)))) (/.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (/.f32 1 u) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 n1_i) (/.f32 (sin.f32 normAngle) (.f32 normAngle u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 normAngle n1_i))) (/.f32 1/2 u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 normAngle n1_i)) (/.f32 (sin.f32 normAngle) u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 u n1_i)) (/.f32 (sin.f32 normAngle) normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 u (.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 u) (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (.f32 u (.f32 normAngle n1_i))) (.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 (.f32 u (.f32 normAngle n1_i))) 1/2) (.f32 (sin.f32 normAngle) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 1 (sin.f32 normAngle))) (/.f32 1 (.f32 u (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle (.f32 n1_i (neg.f32 u)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (sin.f32 normAngle) u) (neg.f32 (.f32 normAngle n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle n1_i) (+.f32 u u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 normAngle (+.f32 n1_i n1_i))) (.f32 (sin.f32 normAngle) (/.f32 2 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 u) normAngle) (/.f32 (sin.f32 normAngle) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (neg.f32 (.f32 normAngle n1_i))) (/.f32 (sin.f32 normAngle) (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sin.f32 normAngle) 2) (.f32 2 (/.f32 1 (.f32 u (.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 u (.f32 (.f32 normAngle n1_i) 4))) (.f32 (sin.f32 normAngle) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 normAngle (.f32 n1_i (neg.f32 u)))) (neg.f32 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle (.f32 n1_i (neg.f32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) u) (neg.f32 (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 u (*.f32 normAngle n1_i))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 normAngle (.f32 u (/.f32 n1_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n1_i (.f32 normAngle (/.f32 u (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n1_i (.f32 (.f32 normAngle u) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n1_i (/.f32 (.f32 normAngle u) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle n1_i) (/.f32 u (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u (.f32 normAngle n1_i)) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 normAngle n1_i) (+.f32 u u)) (/.f32 1/2 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 normAngle n1_i) (+.f32 u u)) (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (.f32 u (.f32 normAngle n1_i)) (.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 u (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (.f32 normAngle n1_i) (.f32 (sin.f32 normAngle) (/.f32 2 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 normAngle n1_i) (.f32 u (/.f32 2 (sin.f32 normAngle)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 u u) (.f32 normAngle (/.f32 n1_i (.f32 (sin.f32 normAngle) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 u u) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (.f32 normAngle n1_i) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (+.f32 n1_i n1_i)) (.f32 u (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (+.f32 n1_i n1_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u (.f32 (.f32 normAngle n1_i) 4)) (/.f32 1 (.f32 (sin.f32 normAngle) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 n1_i n1_i) (/.f32 normAngle (.f32 (sin.f32 normAngle) (/.f32 2 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 normAngle normAngle) (/.f32 (.f32 u n1_i) (.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 normAngle normAngle) (/.f32 n1_i (.f32 (sin.f32 normAngle) (/.f32 2 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle (sin.f32 normAngle)) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u (sin.f32 normAngle)) (.f32 normAngle n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u (sin.f32 normAngle)) (/.f32 1 (/.f32 1 (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) u)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 1 (/.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u (.f32 normAngle n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 u (/.f32 1 (.f32 normAngle n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 (.f32 normAngle n1_i) (/.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (/.f32 1 (.f32 u (.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (.f32 n1_i (neg.f32 u))) (/.f32 1 (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (.f32 u (.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 u) (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u (/.f32 2 (sin.f32 normAngle))) (.f32 (.f32 normAngle n1_i) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u (+.f32 n1_i n1_i)) (/.f32 normAngle (.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 normAngle n1_i) (/.f32 2 (sin.f32 normAngle))) (.f32 u 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u (/.f32 n1_i (sin.f32 normAngle))) normAngle)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (+.f32 u u)) (/.f32 n1_i (.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (.f32 normAngle n1_i) (.f32 u (/.f32 2 (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 normAngle u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (/.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u (/.f32 1/2 (sin.f32 normAngle))) (.f32 normAngle (+.f32 n1_i n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 normAngle (/.f32 n1_i (.f32 (sin.f32 normAngle) 2))) (+.f32 u u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (sin.f32 normAngle)) (.f32 (.f32 normAngle n1_i) (+.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u 1/2) (.f32 (.f32 normAngle n1_i) (/.f32 2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 normAngle n1_i) 1/2) (.f32 u (/.f32 2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 normAngle u) (/.f32 1 (sin.f32 normAngle))) n1_i)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) (.f32 (.f32 normAngle n1_i) (+.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (.f32 normAngle n1_i) 1/2)) (+.f32 u u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u 1/2)) (.f32 normAngle (+.f32 n1_i n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u (/.f32 1 (.f32 normAngle n1_i))) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 1 (.f32 normAngle n1_i))) (/.f32 u (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 normAngle n1_i) (/.f32 1 u)) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 1 u)) (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 1 (.f32 u (.f32 normAngle n1_i)))) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (.f32 (sin.f32 normAngle) 2)) (.f32 normAngle (+.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle (.f32 (sin.f32 normAngle) 2)) (.f32 u (+.f32 n1_i n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 u n1_i) (.f32 (sin.f32 normAngle) 2)) (+.f32 normAngle normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (/.f32 1 u)) (/.f32 normAngle (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle (/.f32 1 u)) (/.f32 n1_i (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (.f32 (sin.f32 normAngle) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (.f32 n1_i (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) n1_i)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 normAngle n1_i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 normAngle (.f32 (sin.f32 normAngle) (/.f32 2 u))) (+.f32 n1_i n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (.f32 (sin.f32 normAngle) (/.f32 2 u))) (+.f32 normAngle normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 normAngle n1_i) (.f32 (sin.f32 normAngle) (/.f32 2 u))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) (.f32 u (.f32 (.f32 normAngle n1_i) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 normAngle n1_i)))) (neg.f32 u))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 u))) (neg.f32 (.f32 normAngle n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (.f32 normAngle (.f32 n1_i (neg.f32 u))) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 (sin.f32 normAngle) u)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (.f32 normAngle n1_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u (.f32 normAngle n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u (.f32 normAngle n1_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (.f32 normAngle n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 normAngle n1_i) (+.f32 u u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (.f32 (.f32 normAngle n1_i) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 u (.f32 (.f32 normAngle n1_i) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (*.f32 normAngle n1_i)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 1)))))

simplify204.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1486×	`rational.json-simplify-61`
1482×	`rational.json-simplify-35`
1190×	`rational.json-simplify-49`
1070×	`rational.json-simplify-2`
1000×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	353	8186
1	803	7974
2	2186	7940
3	6353	7938

Stop Event

1×	node limit

Counts

324 → 250

Calls

Call 1

Inputs
(/.f32 1 (*.f32 n1_i u))
(+.f32 (/.f32 1 (.f32 n1_i u)) (.f32 -1/6 (/.f32 (pow.f32 normAngle 2) (*.f32 n1_i u))))
(+.f32 (/.f32 1 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 2) (.f32 n1_i u))) (.f32 1/120 (/.f32 (pow.f32 normAngle 4) (*.f32 n1_i u)))))
(+.f32 (.f32 -1/5040 (/.f32 (pow.f32 normAngle 6) (.f32 n1_i u))) (+.f32 (/.f32 1 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 2) (.f32 n1_i u))) (.f32 1/120 (/.f32 (pow.f32 normAngle 4) (*.f32 n1_i u))))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (.f32 u normAngle)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (.f32 1/720 (*.f32 n1_i u)))) (pow.f32 normAngle 6))))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (.f32 1/720 (.f32 n1_i u)))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2)))) n0_i))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
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(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 0)
(+.f32 0 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))))
(+.f32 -1 (-.f32 1 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))))))
(-.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 0)
(-.f32 0 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))))
(.f32 (sin.f32 normAngle) (/.f32 1 (.f32 u (*.f32 normAngle n1_i))))
(.f32 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i))) 1)
(.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i))))
(.f32 (.f32 (sin.f32 normAngle) 2) (/.f32 1/2 (.f32 u (.f32 normAngle n1_i))))
(.f32 (.f32 (sin.f32 normAngle) 2) (.f32 (/.f32 1 (.f32 u (*.f32 normAngle n1_i))) 1/2))
(.f32 2 (/.f32 (sin.f32 normAngle) (.f32 (*.f32 normAngle n1_i) (+.f32 u u))))
(.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i))) 2))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 u (.f32 normAngle n1_i)))) 1/2)
(.f32 (/.f32 (sin.f32 normAngle) u) (/.f32 1 (.f32 normAngle n1_i)))
(.f32 (.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 4) 1/4)
(.f32 (.f32 (sin.f32 normAngle) 4) (/.f32 1 (.f32 u (.f32 (*.f32 normAngle n1_i) 4))))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 u)) (/.f32 1 (*.f32 normAngle (+.f32 n1_i n1_i))))
(.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 1 u))
(.f32 (/.f32 (sin.f32 normAngle) normAngle) (/.f32 1 (.f32 u n1_i)))
(.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle u)) (/.f32 1 n1_i))
(.f32 (/.f32 (sin.f32 normAngle) (.f32 u n1_i)) (/.f32 1 normAngle))
(.f32 (/.f32 1 u) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)))
(.f32 (/.f32 1 (.f32 u (*.f32 normAngle n1_i))) (sin.f32 normAngle))
(.f32 (/.f32 1 (.f32 u (*.f32 normAngle n1_i))) (/.f32 1 (/.f32 1 (sin.f32 normAngle))))
(.f32 -1 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i)))))
(.f32 -1 (/.f32 (sin.f32 normAngle) (.f32 normAngle (*.f32 n1_i (neg.f32 u)))))
(.f32 -1 (/.f32 (/.f32 (sin.f32 normAngle) u) (neg.f32 (.f32 normAngle n1_i))))
(.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i)))) -1)
(.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 1 (.f32 normAngle (*.f32 n1_i (neg.f32 u)))))
(.f32 (/.f32 (sin.f32 normAngle) (neg.f32 u)) (/.f32 1 (neg.f32 (.f32 normAngle n1_i))))
(.f32 (.f32 2 (/.f32 1 (.f32 u (.f32 normAngle n1_i)))) (/.f32 (sin.f32 normAngle) 2))
(*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (/.f32 1 u) normAngle))
(.f32 (/.f32 1 n1_i) (/.f32 (sin.f32 normAngle) (.f32 normAngle u)))
(.f32 (/.f32 1 normAngle) (/.f32 (sin.f32 normAngle) (.f32 u n1_i)))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 normAngle n1_i))) (/.f32 1/2 u))
(.f32 (/.f32 1 (.f32 normAngle n1_i)) (/.f32 (sin.f32 normAngle) u))
(.f32 (/.f32 1 (.f32 u n1_i)) (/.f32 (sin.f32 normAngle) normAngle))
(.f32 1/2 (.f32 (sin.f32 normAngle) (/.f32 2 (.f32 u (.f32 normAngle n1_i)))))
(.f32 (/.f32 1/2 u) (.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 normAngle n1_i))))
(.f32 (/.f32 1/2 (.f32 u (.f32 normAngle n1_i))) (.f32 (sin.f32 normAngle) 2))
(.f32 (.f32 (/.f32 1 (.f32 u (.f32 normAngle n1_i))) 1/2) (*.f32 (sin.f32 normAngle) 2))
(.f32 (/.f32 1 (/.f32 1 (sin.f32 normAngle))) (/.f32 1 (.f32 u (*.f32 normAngle n1_i))))
(.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle (*.f32 n1_i (neg.f32 u)))) -1)
(.f32 (/.f32 (/.f32 (sin.f32 normAngle) u) (neg.f32 (.f32 normAngle n1_i))) -1)
(.f32 (/.f32 (sin.f32 normAngle) (.f32 (*.f32 normAngle n1_i) (+.f32 u u))) 2)
(.f32 (/.f32 1 (.f32 normAngle (+.f32 n1_i n1_i))) (*.f32 (sin.f32 normAngle) (/.f32 2 u)))
(*.f32 (/.f32 (/.f32 1 u) normAngle) (/.f32 (sin.f32 normAngle) n1_i))
(.f32 1/4 (.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 4))
(.f32 (/.f32 1 (neg.f32 (.f32 normAngle n1_i))) (/.f32 (sin.f32 normAngle) (neg.f32 u)))
(.f32 (/.f32 (sin.f32 normAngle) 2) (.f32 2 (/.f32 1 (.f32 u (.f32 normAngle n1_i)))))
(.f32 (/.f32 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i))) 2) 2)
(.f32 (/.f32 1 (.f32 u (.f32 (.f32 normAngle n1_i) 4))) (*.f32 (sin.f32 normAngle) 4))
(.f32 (/.f32 1 (.f32 normAngle (*.f32 n1_i (neg.f32 u)))) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i))) 1)
(neg.f32 (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))))
(neg.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle (.f32 n1_i (neg.f32 u)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) u) (neg.f32 (*.f32 normAngle n1_i))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 u (.f32 normAngle n1_i))))
(+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) 0)
(+.f32 0 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))))
(-.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) 0)
(.f32 normAngle (.f32 u (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))
(.f32 n1_i (.f32 normAngle (/.f32 u (sin.f32 normAngle))))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (.f32 (*.f32 normAngle u) (/.f32 1 (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 normAngle u) (sin.f32 normAngle)))
(.f32 (.f32 normAngle n1_i) (/.f32 u (sin.f32 normAngle)))
(.f32 (.f32 u (*.f32 normAngle n1_i)) (/.f32 1 (sin.f32 normAngle)))
(.f32 1 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 1)
(.f32 (.f32 (*.f32 normAngle n1_i) (+.f32 u u)) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 (.f32 (.f32 normAngle n1_i) (+.f32 u u)) (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2))
(.f32 2 (/.f32 (.f32 u (.f32 normAngle n1_i)) (.f32 (sin.f32 normAngle) 2)))
(.f32 2 (/.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 2))
(.f32 2 (/.f32 u (.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 normAngle n1_i)))))
(.f32 2 (/.f32 (.f32 normAngle n1_i) (*.f32 (sin.f32 normAngle) (/.f32 2 u))))
(.f32 (.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 (.f32 normAngle n1_i) (.f32 u (/.f32 2 (sin.f32 normAngle)))) 1/2)
(.f32 (+.f32 u u) (.f32 normAngle (/.f32 n1_i (*.f32 (sin.f32 normAngle) 2))))
(.f32 (+.f32 u u) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (.f32 normAngle n1_i) 1/2)))
(.f32 (.f32 normAngle (+.f32 n1_i n1_i)) (*.f32 u (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (.f32 normAngle (+.f32 n1_i n1_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u 1/2)))
(.f32 (.f32 u (.f32 (.f32 normAngle n1_i) 4)) (/.f32 1 (*.f32 (sin.f32 normAngle) 4)))
(.f32 (+.f32 n1_i n1_i) (/.f32 normAngle (.f32 (sin.f32 normAngle) (/.f32 2 u))))
(.f32 (+.f32 normAngle normAngle) (/.f32 (.f32 u n1_i) (*.f32 (sin.f32 normAngle) 2)))
(.f32 (+.f32 normAngle normAngle) (/.f32 n1_i (.f32 (sin.f32 normAngle) (/.f32 2 u))))
(.f32 (.f32 normAngle u) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (/.f32 normAngle (sin.f32 normAngle)) (.f32 u n1_i))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 u)))
(.f32 (/.f32 u (sin.f32 normAngle)) (.f32 normAngle n1_i))
(.f32 (/.f32 u (sin.f32 normAngle)) (/.f32 1 (/.f32 1 (.f32 normAngle n1_i))))
(*.f32 (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) u)
(*.f32 (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 1 (/.f32 1 u)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u (*.f32 normAngle n1_i)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 u (/.f32 1 (.f32 normAngle n1_i))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 (.f32 normAngle n1_i) (/.f32 1 u)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (/.f32 1 (.f32 u (*.f32 normAngle n1_i)))))
(.f32 (.f32 normAngle (*.f32 n1_i (neg.f32 u))) (/.f32 1 (neg.f32 (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 u (*.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))))
(.f32 (neg.f32 u) (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 normAngle n1_i)))))
(.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 u))))
(.f32 (.f32 u (/.f32 2 (sin.f32 normAngle))) (.f32 (.f32 normAngle n1_i) 1/2))
(.f32 (.f32 u (+.f32 n1_i n1_i)) (/.f32 normAngle (*.f32 (sin.f32 normAngle) 2)))
(.f32 (.f32 (.f32 normAngle n1_i) (/.f32 2 (sin.f32 normAngle))) (.f32 u 1/2))
(.f32 (.f32 u (/.f32 n1_i (sin.f32 normAngle))) normAngle)
(.f32 (.f32 normAngle (+.f32 u u)) (/.f32 n1_i (*.f32 (sin.f32 normAngle) 2)))
(.f32 1/2 (.f32 (.f32 normAngle n1_i) (.f32 u (/.f32 2 (sin.f32 normAngle)))))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 normAngle u))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle (/.f32 1 u)))
(.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
(.f32 (.f32 u (/.f32 1/2 (sin.f32 normAngle))) (*.f32 normAngle (+.f32 n1_i n1_i)))
(.f32 (.f32 normAngle (/.f32 n1_i (*.f32 (sin.f32 normAngle) 2))) (+.f32 u u))
(.f32 (/.f32 1/2 (sin.f32 normAngle)) (.f32 (*.f32 normAngle n1_i) (+.f32 u u)))
(.f32 (.f32 u 1/2) (.f32 (.f32 normAngle n1_i) (/.f32 2 (sin.f32 normAngle))))
(.f32 (.f32 (.f32 normAngle n1_i) 1/2) (.f32 u (/.f32 2 (sin.f32 normAngle))))
(.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)
(.f32 (.f32 (*.f32 normAngle u) (/.f32 1 (sin.f32 normAngle))) n1_i)
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) (.f32 (.f32 normAngle n1_i) (+.f32 u u)))
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (.f32 normAngle n1_i) 1/2)) (+.f32 u u))
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u 1/2)) (.f32 normAngle (+.f32 n1_i n1_i)))
(.f32 (/.f32 u (/.f32 1 (.f32 normAngle n1_i))) (/.f32 1 (sin.f32 normAngle)))
(.f32 (/.f32 1 (/.f32 1 (.f32 normAngle n1_i))) (/.f32 u (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 normAngle n1_i) (/.f32 1 u)) (/.f32 1 (sin.f32 normAngle)))
(*.f32 (/.f32 1 (/.f32 1 u)) (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))
(.f32 (/.f32 1 (/.f32 1 (.f32 u (*.f32 normAngle n1_i)))) (/.f32 1 (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u (*.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))) -1)
(.f32 (/.f32 n1_i (.f32 (sin.f32 normAngle) 2)) (*.f32 normAngle (+.f32 u u)))
(.f32 (/.f32 normAngle (.f32 (sin.f32 normAngle) 2)) (*.f32 u (+.f32 n1_i n1_i)))
(.f32 (/.f32 (.f32 u n1_i) (*.f32 (sin.f32 normAngle) 2)) (+.f32 normAngle normAngle))
(*.f32 (/.f32 n1_i (/.f32 1 u)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (/.f32 1 u)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (.f32 (sin.f32 normAngle) 2)) 2)
(.f32 (/.f32 1 (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (*.f32 n1_i (neg.f32 u))))
(.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) n1_i)
(.f32 (/.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 2) 2)
(.f32 (/.f32 u (.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 normAngle n1_i)))) 2)
(.f32 (/.f32 normAngle (.f32 (sin.f32 normAngle) (/.f32 2 u))) (+.f32 n1_i n1_i))
(.f32 (/.f32 n1_i (.f32 (sin.f32 normAngle) (/.f32 2 u))) (+.f32 normAngle normAngle))
(.f32 (/.f32 (.f32 normAngle n1_i) (*.f32 (sin.f32 normAngle) (/.f32 2 u))) 2)
(.f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) (.f32 u (.f32 (*.f32 normAngle n1_i) 4)))
(.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 normAngle n1_i)))) (neg.f32 u))
(.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 u))) (neg.f32 (.f32 normAngle n1_i)))
(pow.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) 1)
(neg.f32 (neg.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)))))
(neg.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (.f32 normAngle (.f32 n1_i (neg.f32 u))) (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 (*.f32 normAngle n1_i)) (/.f32 (sin.f32 normAngle) u)))
(+.f32 (.f32 u (.f32 normAngle n1_i)) 0)
(+.f32 0 (.f32 u (.f32 normAngle n1_i)))
(-.f32 (.f32 u (.f32 normAngle n1_i)) 0)
(/.f32 (.f32 u (.f32 normAngle n1_i)) 1)
(/.f32 (.f32 (.f32 normAngle n1_i) (+.f32 u u)) 2)
(/.f32 (.f32 u (.f32 (*.f32 normAngle n1_i) 4)) 4)
(/.f32 (.f32 2 (.f32 u (.f32 (.f32 normAngle n1_i) 4))) 8)
(pow.f32 (.f32 u (.f32 normAngle n1_i)) 1)
(-.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 0)
(.f32 1 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i))
(.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 1)
(.f32 2 (/.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2))
(.f32 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 2))
(.f32 (/.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2) 2)
(/.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 1)
(/.f32 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2) 2)
(/.f32 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 4)) 8)
(pow.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 1)

Outputs
(/.f32 1 (*.f32 n1_i u))
(+.f32 (/.f32 1 (.f32 n1_i u)) (.f32 -1/6 (/.f32 (pow.f32 normAngle 2) (*.f32 n1_i u))))
(+.f32 (/.f32 1 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 2) (.f32 n1_i u))) (.f32 1/120 (/.f32 (pow.f32 normAngle 4) (*.f32 n1_i u)))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 2) (.f32 n1_i u))) (+.f32 (/.f32 1 (.f32 n1_i u)) (.f32 1/120 (/.f32 (pow.f32 normAngle 4) (*.f32 n1_i u)))))
(+.f32 (/.f32 1 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 2) (.f32 n1_i u))) (.f32 1/120 (/.f32 (/.f32 (pow.f32 normAngle 4) u) n1_i))))
(+.f32 (.f32 -1/5040 (/.f32 (pow.f32 normAngle 6) (.f32 n1_i u))) (+.f32 (/.f32 1 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 2) (.f32 n1_i u))) (.f32 1/120 (/.f32 (pow.f32 normAngle 4) (*.f32 n1_i u))))))
(+.f32 (/.f32 1 (.f32 n1_i u)) (+.f32 (+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 2) (.f32 n1_i u))) (.f32 1/120 (/.f32 (pow.f32 normAngle 4) (.f32 n1_i u)))) (.f32 -1/5040 (/.f32 (pow.f32 normAngle 6) (*.f32 n1_i u)))))
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(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) (.f32 (.f32 normAngle n1_i) (+.f32 u u)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (.f32 normAngle n1_i) 1/2)) (+.f32 u u))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u 1/2)) (.f32 normAngle (+.f32 n1_i n1_i)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 u (/.f32 1 (.f32 normAngle n1_i))) (/.f32 1 (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 1 (/.f32 1 (.f32 normAngle n1_i))) (/.f32 u (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 normAngle n1_i) (/.f32 1 u)) (/.f32 1 (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 1 (/.f32 1 u)) (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)))
(*.f32 u (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (/.f32 1 (/.f32 1 (.f32 u (*.f32 normAngle n1_i)))) (/.f32 1 (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u (*.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))) -1)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (.f32 (sin.f32 normAngle) 2)) (*.f32 normAngle (+.f32 u u)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 normAngle (.f32 (sin.f32 normAngle) 2)) (*.f32 u (+.f32 n1_i n1_i)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u n1_i) (*.f32 (sin.f32 normAngle) 2)) (+.f32 normAngle normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (/.f32 1 u)) (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 u)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 u (/.f32 1 n1_i)))
(*.f32 (/.f32 normAngle (/.f32 1 u)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 u (/.f32 1 normAngle)))
(.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (.f32 (sin.f32 normAngle) 2)) 2)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 1 (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (*.f32 n1_i (neg.f32 u))))
(.f32 (.f32 n1_i (*.f32 (neg.f32 u) normAngle)) (/.f32 1 (neg.f32 (sin.f32 normAngle))))
(.f32 (.f32 n1_i (*.f32 normAngle (neg.f32 u))) (/.f32 -1 (sin.f32 normAngle)))
(.f32 normAngle (.f32 (*.f32 n1_i (neg.f32 u)) (/.f32 -1 (sin.f32 normAngle))))
(.f32 (/.f32 (.f32 normAngle u) (sin.f32 normAngle)) n1_i)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) 2) 2)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 u (.f32 (sin.f32 normAngle) (/.f32 2 (*.f32 normAngle n1_i)))) 2)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 normAngle (.f32 (sin.f32 normAngle) (/.f32 2 u))) (+.f32 n1_i n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (.f32 (sin.f32 normAngle) (/.f32 2 u))) (+.f32 normAngle normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 normAngle n1_i) (*.f32 (sin.f32 normAngle) (/.f32 2 u))) 2)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) (.f32 u (.f32 (*.f32 normAngle n1_i) 4)))
(.f32 (.f32 (.f32 n1_i normAngle) (.f32 4 u)) (/.f32 1 (*.f32 4 (sin.f32 normAngle))))
(.f32 (.f32 n1_i normAngle) (.f32 (.f32 u 4) (/.f32 1/4 (sin.f32 normAngle))))
(.f32 u (.f32 (.f32 n1_i (.f32 normAngle 4)) (/.f32 1/4 (sin.f32 normAngle))))
(.f32 u (.f32 (.f32 normAngle (.f32 n1_i 4)) (/.f32 1/4 (sin.f32 normAngle))))
(.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 (.f32 normAngle n1_i)))) (neg.f32 u))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 u))) (neg.f32 (.f32 normAngle n1_i)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(pow.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) 1)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(neg.f32 (neg.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(neg.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(neg.f32 (/.f32 (.f32 normAngle (.f32 n1_i (neg.f32 u))) (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 (*.f32 normAngle n1_i)) (/.f32 (sin.f32 normAngle) u)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(+.f32 (.f32 u (.f32 normAngle n1_i)) 0)
(.f32 n1_i (.f32 u normAngle))
(+.f32 0 (.f32 u (.f32 normAngle n1_i)))
(.f32 n1_i (.f32 u normAngle))
(-.f32 (.f32 u (.f32 normAngle n1_i)) 0)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 u (.f32 normAngle n1_i)) 1)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 (.f32 normAngle n1_i) (+.f32 u u)) 2)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 u (.f32 (*.f32 normAngle n1_i) 4)) 4)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 2 (.f32 u (.f32 (.f32 normAngle n1_i) 4))) 8)
(.f32 n1_i (.f32 u normAngle))
(pow.f32 (.f32 u (.f32 normAngle n1_i)) 1)
(.f32 n1_i (.f32 u normAngle))
(-.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 0)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(.f32 1 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i))
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 1)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(.f32 2 (/.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2))
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(.f32 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 2) 1/2)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(.f32 1/2 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 2))
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(.f32 (/.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2) 2)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 1)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 2) 2)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) n0_i) 4) 4)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 4)) 8)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(pow.f32 (+.f32 (/.f32 u (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) n0_i) 1)
(+.f32 (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))

localize57.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sin.f32 (.f32 normAngle u)) n1_i)
	0.1b	(*.f32 (-.f32 1 u) n0_i)
✓	0.1b	(.f32 normAngle (.f32 (-.f32 1 u) n0_i))
✓	7.8b	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))

Compiler

Compiled 70 to 29 computations (58.6% saved)

series3.0ms (0%)

Counts

3 → 120

Calls

30 calls:

Time	Variable		Point	Expression
0.0ms	normAngle	@	0	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
0.0ms	u	@	inf	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
0.0ms	normAngle	@	-inf	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
0.0ms	u	@	0	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
0.0ms	u	@	-inf	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))

rewrite100.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1924×	`rational.json-1`
1924×	`rational.json-2`
1924×	`rational.json-4`
1924×	`rational.json-3`
1916×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	87
1	127	87
2	292	87
3	679	87
4	1575	87
5	5125	87

Stop Event

1×	node limit

Counts

3 → 57

Calls

Call 1

Inputs

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

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

(*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 normAngle) 2)) (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 2 (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (*.f32 2 (/.f32 1 (sin.f32 normAngle))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (/.f32 2 (sin.f32 normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) (/.f32 1/2 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) (*.f32 (/.f32 1 (sin.f32 normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) (*.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) (*.f32 (*.f32 2 (/.f32 1/2 (sin.f32 normAngle))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 normAngle) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1/2 (sin.f32 normAngle)) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 2 (sin.f32 normAngle))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4) (/.f32 1 (*.f32 (sin.f32 normAngle) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4) (*.f32 (/.f32 1 (*.f32 (sin.f32 normAngle) 4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4) (*.f32 1/4 (/.f32 1 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4) (*.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (/.f32 -1 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (/.f32 -1 (sin.f32 normAngle)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (*.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (sin.f32 normAngle)) (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 normAngle) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (sin.f32 normAngle) 4)) (*.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (sin.f32 normAngle)) (neg.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (*.f32 n0_i (*.f32 (+.f32 u -1) -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) (*.f32 n0_i 4))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 normAngle (*.f32 (-.f32 1 u) (*.f32 n0_i 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 normAngle (*.f32 (-.f32 1 u) (*.f32 n0_i 4)))) (*.f32 2 (*.f32 normAngle (*.f32 (-.f32 1 u) (*.f32 n0_i 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 normAngle (*.f32 (-.f32 1 u) n0_i)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (+.f32 n1_i n1_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i 4))) (*.f32 2 (*.f32 (sin.f32 (*.f32 normAngle u)) (*.f32 n1_i 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) 1)))))

simplify259.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1388×	`rational.json-simplify-49`
1072×	`rational.json-simplify-61`
1020×	`rational.json-simplify-50`
920×	`rational.json-simplify-1`
804×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	7545
1	533	7423
2	1104	7321
3	2413	7205
4	5049	7205
5	7262	7205

Stop Event

1×	node limit

Counts

177 → 151

Calls

Call 1

Inputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))) (+.f32 (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))) (pow.f32 normAngle 6))))))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)))) u))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))) u) (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))) u) (+.f32 (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))))
(.f32 -1 (/.f32 (.f32 n0_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 n0_i (*.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (+.f32 (.f32 -1 (/.f32 (.f32 n0_i (.f32 u normAngle)) (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(*.f32 n0_i normAngle)
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(.f32 -1 (.f32 u (*.f32 n0_i normAngle)))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(.f32 -1 (.f32 u (*.f32 n0_i normAngle)))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 u (.f32 n0_i normAngle))))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 n1_i (*.f32 u normAngle)))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (.f32 n1_i (.f32 u normAngle))))
(+.f32 (.f32 -1/5040 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)))) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (.f32 n1_i (*.f32 u normAngle)))))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (.f32 u normAngle))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (.f32 n1_i (*.f32 u normAngle)))
(+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (.f32 n1_i (.f32 u normAngle))))
(+.f32 (.f32 -1/5040 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)))) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (.f32 n1_i (*.f32 u normAngle)))))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(+.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)
(+.f32 0 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))
(+.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 2)) (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 2)))
(-.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)
(.f32 1 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))
(.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 1 (sin.f32 normAngle)))
(.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 2 (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (*.f32 2 (/.f32 1 (sin.f32 normAngle))) 1/2))
(.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (/.f32 2 (sin.f32 normAngle)) 1/2))
(.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (*.f32 (/.f32 1 (sin.f32 normAngle)) 1/2))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) 1))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (.f32 (.f32 2 (/.f32 1/2 (sin.f32 normAngle))) 1/2))
(.f32 2 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 2)))
(.f32 2 (.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 normAngle) 2)) 1))
(.f32 2 (.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (/.f32 1 (sin.f32 normAngle))))
(.f32 2 (.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1/2))
(.f32 2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))))
(.f32 2 (.f32 (/.f32 1/2 (sin.f32 normAngle)) (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 2 (sin.f32 normAngle))) 1/2)
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) (/.f32 1 (*.f32 (sin.f32 normAngle) 4)))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) (.f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) 1))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) (*.f32 1/4 (/.f32 1 (sin.f32 normAngle))))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) (*.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))
(.f32 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (/.f32 -1 (sin.f32 normAngle)))
(.f32 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (.f32 (/.f32 -1 (sin.f32 normAngle)) 1))
(.f32 -1 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(.f32 -1 (.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))) 1))
(.f32 1/2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 2 (sin.f32 normAngle))))
(.f32 (/.f32 1/2 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2))
(.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))) -1)
(.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 2)) 2)
(.f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4))
(.f32 (/.f32 -1 (sin.f32 normAngle)) (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
(pow.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)
(neg.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 0)
(+.f32 0 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)))
(-.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 0)
(/.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 1)
(/.f32 (.f32 normAngle (.f32 n0_i (*.f32 (+.f32 u -1) -2))) 2)
(/.f32 (.f32 normAngle (.f32 (-.f32 1 u) (*.f32 n0_i 4))) 4)
(/.f32 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) (.f32 n0_i 4)))) 8)
(/.f32 (+.f32 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) (.f32 n0_i 4)))) (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) (.f32 n0_i 4))))) 16)
(pow.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 1)
(+.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))
(-.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) 2)
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 n1_i 4)) 4)
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))) (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4)))) 16)
(pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)

Outputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)) (pow.f32 normAngle 2)))
(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 -1/6 (.f32 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))))) (pow.f32 normAngle 4)))))
(+.f32 (.f32 n1_i u) (+.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4))) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (pow.f32 normAngle 2))))
(+.f32 (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 -1/6 (.f32 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (pow.f32 normAngle 2))))) (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 4)))
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(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 0 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 2)) (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 2)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(-.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 1 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (/.f32 1 (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 2 (/.f32 1/2 (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (*.f32 2 (/.f32 1 (sin.f32 normAngle))) 1/2))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (/.f32 2 (sin.f32 normAngle)) 1/2))
(.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (.f32 1/2 (/.f32 2 (sin.f32 normAngle))))
(.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (/.f32 1/2 (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (*.f32 (/.f32 1 (sin.f32 normAngle)) 1/2))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) 1))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (.f32 (.f32 2 (/.f32 1/2 (sin.f32 normAngle))) 1/2))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 2 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 2)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 2 (.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (*.f32 (sin.f32 normAngle) 2)) 1))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 2 (.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (/.f32 1 (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 2 (.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1/2))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 2 (.f32 (/.f32 1/2 (sin.f32 normAngle)) (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 2 (sin.f32 normAngle))) 1/2)
(.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (.f32 1/2 (/.f32 2 (sin.f32 normAngle))))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) (/.f32 1 (*.f32 (sin.f32 normAngle) 4)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) (.f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) 1))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) (*.f32 1/4 (/.f32 1 (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 4) (*.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (/.f32 -1 (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (.f32 (/.f32 -1 (sin.f32 normAngle)) 1))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 -1 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 -1 (.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))) 1))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 1/2 (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 2 (sin.f32 normAngle))))
(.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (.f32 1/2 (/.f32 2 (sin.f32 normAngle))))
(.f32 (/.f32 1/2 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))) -1)
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (sin.f32 normAngle) 2)) 2)
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) (.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 4))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(.f32 (/.f32 -1 (sin.f32 normAngle)) (neg.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(pow.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(neg.f32 (/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 0)
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(+.f32 0 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)))
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(-.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 0)
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(/.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 1)
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(/.f32 (.f32 normAngle (.f32 n0_i (*.f32 (+.f32 u -1) -2))) 2)
(.f32 (.f32 n0_i (*.f32 (+.f32 u -1) -2)) (/.f32 normAngle 2))
(.f32 normAngle (/.f32 (.f32 n0_i (*.f32 (+.f32 u -1) -2)) 2))
(.f32 normAngle (.f32 (*.f32 n0_i (+.f32 u -1)) -1))
(.f32 normAngle (.f32 (+.f32 u -1) (neg.f32 n0_i)))
(.f32 (.f32 (+.f32 u -1) normAngle) (neg.f32 n0_i))
(/.f32 (.f32 normAngle (.f32 (-.f32 1 u) (*.f32 n0_i 4))) 4)
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(/.f32 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) (.f32 n0_i 4)))) 8)
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(/.f32 (+.f32 (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) (.f32 n0_i 4)))) (.f32 2 (.f32 normAngle (.f32 (-.f32 1 u) (.f32 n0_i 4))))) 16)
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(pow.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) 1)
(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
(+.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 0 (.f32 (sin.f32 (.f32 normAngle u)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 0)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) 2)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (*.f32 n1_i 4)) 4)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))) 8)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (+.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4))) (.f32 2 (.f32 (sin.f32 (.f32 normAngle u)) (.f32 n1_i 4)))) 16)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 1)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))

eval474.0ms (1.9%)

Compiler: Compiled 11721 to 5626 computations (52% saved)

prune299.0ms (1.2%)

Pruning

28 alts after pruning (21 fresh and 7 done)

	Pruned	Kept	Total
New	592	6	598
Fresh	2	15	17
Picked	0	1	1
Done	1	6	7
Total	595	28	623

Error

Counts

623 → 28

Alt Table

Click to see full alt table

Status	Error	Program
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
✓	8.7b	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	15.9b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	23.2b	(/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle))
	20.9b	(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 normAngle n1_i))
✓	0.5b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	0.9b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	0.6b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
	6.0b	(+.f32 (*.f32 u n1_i) n0_i)
	6.6b	(+.f32 (.f32 n1_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)))) n0_i)
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	12.4b	(+.f32 (*.f32 n0_i (neg.f32 u)) n0_i)
	0.5b	(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
	6.5b	(+.f32 n0_i (/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
✓	9.7b	(+.f32 n0_i (/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))))
	10.1b	(+.f32 n0_i (.f32 (/.f32 u (/.f32 1 (.f32 normAngle n1_i))) (/.f32 1 (sin.f32 normAngle))))
	8.1b	(+.f32 n0_i (.f32 (/.f32 u (sin.f32 normAngle)) (.f32 normAngle n1_i)))
	6.6b	(+.f32 n0_i (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i))
	6.7b	(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i normAngle)))
	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (.f32 n1_i (*.f32 u normAngle))))
	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n1_i (.f32 (pow.f32 (.f32 u normAngle) 3) -1/6)))))
✓	8.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
✓	12.4b	(*.f32 (-.f32 1 u) n0_i)
✓	20.4b	(*.f32 u n1_i)
	20.8b	(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
	29.6b	(*.f32 n0_i (neg.f32 u))
	16.4b	n0_i

Compiler

Compiled 436 to 298 computations (31.7% saved)

regimes204.0ms (0.8%)

Counts

56 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (*.f32 n0_i (neg.f32 u)) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i normAngle)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 normAngle (.f32 1/6 n1_i)))))
(+.f32 (.f32 n1_i (.f32 (.f32 normAngle u) (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)))) n0_i)
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 normAngle n1_i))
(/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (/.f32 u (sin.f32 normAngle)) (.f32 normAngle n1_i)))
(+.f32 n0_i (/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (.f32 normAngle n1_i)))))
(+.f32 n0_i (.f32 (/.f32 u (/.f32 1 (.f32 normAngle n1_i))) (/.f32 1 (sin.f32 normAngle))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 n0_i normAngle) (.f32 u (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))))))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 normAngle (.f32 u n1_i))) (sin.f32 normAngle))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (.f32 n1_i (*.f32 u normAngle))))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(/.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (.f32 n0_i normAngle) (neg.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 u (*.f32 normAngle n1_i)))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (+.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 n1_i (.f32 (pow.f32 (.f32 u normAngle) 3) -1/6)))))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (/.f32 (sin.f32 (.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i)))
(+.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(+.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))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
(+.f32 (/.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u)))) n0_i)) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (/.f32 4 (/.f32 4 (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))))

Outputs
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)

Calls

5 calls:

95.0ms	normAngle
24.0ms	(+.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))
24.0ms	n1_i
23.0ms	u
23.0ms	n0_i

Results

Error	Segments	Branch
0.5b	1	`normAngle`
0.5b	1	`u`
0.5b	1	`n0_i`
0.5b	1	`n1_i`
0.5b	1	`(+.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 851 to 381 computations (55.2% saved)

regimes170.0ms (0.7%)

Counts

8 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (*.f32 n0_i (neg.f32 u)) n0_i)

Outputs
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (*.f32 n1_i u) n0_i)

Calls

4 calls:

152.0ms	n1_i
6.0ms	u
5.0ms	n0_i
5.0ms	normAngle

Results

Error	Segments	Branch
6.0b	1	`normAngle`
6.0b	1	`u`
6.0b	1	`n0_i`
4.1b	3	`n1_i`

Compiler

Compiled 59 to 33 computations (44.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.0155024921837551e-25	6.084019720111715e-25
0.0ms	-3.1883206317042973e-25	-2.9498566082221363e-25

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes760.0ms (3%)

Counts

6 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)

Outputs
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)

Calls

4 calls:

539.0ms	u
210.0ms	n1_i
5.0ms	normAngle
5.0ms	n0_i

Results

Error	Segments	Branch
6.0b	1	`normAngle`
6.0b	1	`u`
6.0b	1	`n0_i`
4.1b	3	`n1_i`

Compiler

Compiled 47 to 29 computations (38.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.0155024921837551e-25	6.084019720111715e-25
0.0ms	-3.1883206317042973e-25	-2.9498566082221363e-25

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes31.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 (-.f32 1 u) n0_i)

Outputs
(*.f32 (-.f32 1 u) n0_i)
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)

Calls

4 calls:

11.0ms	n0_i
11.0ms	n1_i
4.0ms	normAngle
4.0ms	u

Results

Error	Segments	Branch
12.4b	1	`normAngle`
12.4b	1	`u`
8.1b	3	`n0_i`
8.9b	3	`n1_i`

Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.3370867331002787e-23	2.3690378085722642e-23
0.0ms	-2.2910970470507443e-27	-1.3195070864906798e-27

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes41.0ms (0.2%)

Accuracy

Total -18.2b remaining (-157%)

Threshold costs -18.2b (-157%)

Counts

3 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (neg.f32 u))

Outputs
n0_i
(*.f32 u n1_i)
n0_i

Calls

4 calls:

18.0ms	n0_i
12.0ms	n1_i
7.0ms	u
3.0ms	normAngle

Results

Error	Segments	Branch
16.4b	1	`normAngle`
14.3b	2	`u`
11.6b	3	`n0_i`
12.5b	3	`n1_i`

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	5.915152404495362e-21	9.389819887165254e-21
0.0ms	-4.4848491206204025e-27	-2.4437113951108832e-27

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	216

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -6084723/20282409603651670423947251286016) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/10141204801825835211973625643008) (+.f32 n0_i (.f32 u (neg.f32 n0_i))) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -6084723/20282409603651670423947251286016) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/10141204801825835211973625643008) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -5192297/2596148429267413814265248164610048) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 14894895/633825300114114700748351602688) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -5192297/1298074214633706907132624082305024) n0_i (if (<=.f32 n0_i 928455/154742504910672534362390528) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -6084723/20282409603651670423947251286016) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/10141204801825835211973625643008) (+.f32 n0_i (.f32 u (neg.f32 n0_i))) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -6084723/20282409603651670423947251286016) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/10141204801825835211973625643008) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -5192297/2596148429267413814265248164610048) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 14894895/633825300114114700748351602688) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -5192297/1298074214633706907132624082305024) n0_i (if (<=.f32 n0_i 928455/154742504910672534362390528) (*.f32 u n1_i) n0_i))
n0_i

Compiler

Compiled 113 to 69 computations (38.9% saved)

soundness608.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

4974×	`rational.json-simplify-51`
2562×	`rational.json-simplify-35`
1522×	`rational.json-simplify-2`
1336×	`rational.json-simplify-26`
1224×	`rational.json-simplify-2`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	39	77
2	57	77
3	81	61
4	111	61
5	160	61
6	292	61
7	727	61
8	1901	61
9	2699	61
10	3934	61
11	6315	61
0	109	1306
1	270	1254
2	683	1254
3	2056	1254
4	3256	1254
5	3663	1254
6	3877	1254
7	4030	1254
8	4167	1254
9	4290	1254
10	4642	1254
11	4810	1254
12	4854	1254
13	4874	1254
14	4898	1254
15	4901	1254
16	4904	1254
17	5029	1254
18	5152	1254

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 297 to 157 computations (47.1% saved)

end104.0ms (0.4%)

Compiler: Compiled 93 to 46 computations (50.5% saved)