Details

analyze1.8s (6.8%)

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)

sample8.7s (32.9%)

Results

7.1s	8256×	body	256	valid
1.6s	2070×	body	256	precondition

Bogosity

preprocess84.0ms (0.3%)

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)

simplify84.0ms (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
▶	1.0b	(+.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))
▶	4.4b	(+.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)))
▶	8.8b	(.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

▶

1.0b

(+.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))

▶

4.4b

(+.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)))

▶

8.8b

(*.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)

localize241.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
✓	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	8.8b	(.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	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)))
1.0ms	n1_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)))

rewrite91.0ms (0.3%)

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 u normAngle)) n1_i)
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_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 (-.f32 1 u))) n0_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (+.f32 n0_i n0_i)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (.f32 n0_i 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) 1)))))

simplify198.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1584×	`rational.json-simplify-35`
1252×	`rational.json-simplify-2`
916×	`rational.json-simplify-46`
734×	`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	3039	9951
3	6439	9895

Stop Event

1×	node limit

Counts

211 → 240

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 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 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 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))))
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(/.f32 -1 (neg.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 (.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 (.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) 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)))
(/.f32 (neg.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)))
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(/.f32 16 (+.f32 (.f32 2 (/.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 2 (/.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))))))
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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 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)
(+.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)

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

localize94.0ms (0.4%)

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)
✓	11.7b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))

Compiler

Compiled 97 to 46 computations (52.6% saved)

series13.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
4.0ms	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	n1_i	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
0.0ms	n1_i	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))

rewrite97.0ms (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)))))

simplify216.0ms (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 (/.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))))

localize143.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.2b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.6b	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite89.0ms (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)))))

simplify253.0ms (1%)

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)))

eval601.0ms (2.3%)

Compiler: Compiled 30775 to 16846 computations (45.3% saved)

prune267.0ms (1%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	834	16	850
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	837	16	853

Error

0.0b

Counts

853 → 16

Alt Table

Click to see full alt table

Status	Error	Program
	17.5b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	21.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	4.3b	(+.f32 (/.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (/.f32 1 n0_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
	4.3b	(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
	4.2b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
	0.9b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (/.f32 4 (/.f32 4 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.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))
▶	0.3b	(+.f32 (.f32 n1_i u) (+.f32 (.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))))
▶	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
▶	8.3b	(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	5.3b	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
	1.2b	(+.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)))))))
▶	9.1b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
▶	13.0b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
	13.0b	(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
	16.1b	n0_i

Compiler

Compiled 663 to 462 computations (30.3% saved)

localize173.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) -1/6)
✓	0.4b	(*.f32 (pow.f32 u 3) -1/6)
✓	0.6b	(pow.f32 (-.f32 1 u) 3)
✓	8.2b	(+.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)))

Compiler

Compiled 241 to 160 computations (33.6% saved)

series16.0ms (0.1%)

Counts

4 → 96

Calls

24 calls:

Time	Variable		Point	Expression
5.0ms	n0_i	@	-inf	(+.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)))
2.0ms	n0_i	@	0	(+.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)))
1.0ms	n1_i	@	0	(+.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)))
1.0ms	u	@	0	(+.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)))
1.0ms	n0_i	@	inf	(+.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)))

rewrite118.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`rational.json-simplify-35`
1534×	`exponential.json-3`
1534×	`rational.json-1`
1534×	`rational.json-2`
1534×	`rational.json-4`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	142
1	151	142
2	303	136
3	615	130
4	1201	130
5	2977	128
6	5009	128
7	6554	128

Stop Event

1×	node limit

Counts

4 → 71

Calls

Call 1

Inputs
(+.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 (-.f32 1 u) 3)
(*.f32 (pow.f32 u 3) -1/6)
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) -1/6)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i -1/6)) (+.f32 1 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/6 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -1/6 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 -1/6 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) -1/12) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (-.f32 1 u) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (-.f32 1 u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (pow.f32 (+.f32 u -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2) (.f32 (pow.f32 (-.f32 1 u) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (-.f32 1 u) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (pow.f32 (+.f32 u -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (-.f32 1 u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 1 u) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (pow.f32 (-.f32 1 u) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (-.f32 1 u) 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (-.f32 1 u) 3) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 8 (pow.f32 (/.f32 (+.f32 u -1) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (pow.f32 (-.f32 1 u) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (-.f32 1 u) 2) 3) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 u -1) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (-.f32 1 u) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (+.f32 u -1) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 (-.f32 1 u) 3) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (pow.f32 (+.f32 u -1) 3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (pow.f32 u 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 -1/6 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 u 3) -1/12) (.f32 (pow.f32 u 3) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 -1/6 (pow.f32 u 3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (pow.f32 u 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 u 3) -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 u 3) -2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (pow.f32 u 3) -2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (pow.f32 u 3) -2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 u 3) -2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 u 3) -2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/6 (pow.f32 u 3)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 -1/6 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -1/12) (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1)))))

simplify220.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1668×	`rational.json-simplify-35`
1316×	`rational.json-simplify-53`
1200×	`rational.json-simplify-51`
1110×	`rational.json-simplify-1`
952×	`rational.json-simplify-48`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	237	6889
1	537	6313
2	1055	6161
3	2633	6077
4	4560	6077
5	5788	6041
6	6601	6041
7	7338	6041

Stop Event

1×	node limit

Counts

167 → 214

Calls

Call 1

Inputs
(.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) u)
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) u))
(+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (*.f32 -1 n0_i)))) u)))
(+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (*.f32 -1 n0_i)))) u)))
(.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (*.f32 -1/6 n1_i)))
(+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))) (.f32 -1/2 (*.f32 (pow.f32 u 2) n0_i)))
(+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (*.f32 -1 n0_i)))) u)))
(+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (*.f32 -1 n0_i)))) u)))
(.f32 -1 (.f32 (+.f32 (.f32 -1/6 n0_i) (.f32 1/6 n1_i)) (pow.f32 u 3)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/6 n0_i) (.f32 1/6 n1_i)) (pow.f32 u 3))) (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 (+.f32 (.f32 -1 n1_i) n0_i))) u)) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/6 n0_i) (.f32 1/6 n1_i)) (pow.f32 u 3))) (.f32 -1/2 (*.f32 (pow.f32 u 2) n0_i))))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1/2 n0_i) (.f32 -1/6 (+.f32 (.f32 -1 n1_i) n0_i))) u)) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/6 n0_i) (.f32 1/6 n1_i)) (pow.f32 u 3))) (.f32 -1/2 (*.f32 (pow.f32 u 2) n0_i))))
(-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) n0_i)) (.f32 -1/6 (*.f32 n1_i u)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) n0_i)) (.f32 -1/6 (*.f32 n1_i u)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) n0_i)) (.f32 -1/6 (*.f32 n1_i u)))
(.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (*.f32 -1/6 (-.f32 1 u))) n0_i)
(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) n0_i)) (.f32 -1/6 (*.f32 n1_i u)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) n0_i)) (.f32 -1/6 (*.f32 n1_i u)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 (-.f32 (.f32 -1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 -1/6 (-.f32 1 u))) n0_i)) (.f32 -1/6 (*.f32 n1_i u)))
(.f32 -1 (.f32 (-.f32 (.f32 1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 1/6 (-.f32 1 u))) n0_i))
(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1 (.f32 (-.f32 (.f32 1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 1/6 (-.f32 1 u))) n0_i))) (.f32 -1/6 (.f32 n1_i u)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1 (.f32 (-.f32 (.f32 1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 1/6 (-.f32 1 u))) n0_i))) (.f32 -1/6 (.f32 n1_i u)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1 (.f32 (-.f32 (.f32 1/6 (pow.f32 (-.f32 1 u) 3)) (.f32 1/6 (-.f32 1 u))) n0_i))) (.f32 -1/6 (.f32 n1_i u)))
(-.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u)) n1_i)) (.f32 -1/6 (*.f32 (-.f32 1 u) n0_i)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u)) n1_i)) (.f32 -1/6 (*.f32 (-.f32 1 u) n0_i)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u)) n1_i)) (.f32 -1/6 (*.f32 (-.f32 1 u) n0_i)))
(.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)) n1_i)
(-.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u)) n1_i)) (.f32 -1/6 (*.f32 (-.f32 1 u) n0_i)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u)) n1_i)) (.f32 -1/6 (*.f32 (-.f32 1 u) n0_i)))
(-.f32 (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i)) (.f32 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (.f32 -1/6 u)) n1_i)) (.f32 -1/6 (*.f32 (-.f32 1 u) n0_i)))
(.f32 -1 (.f32 n1_i (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u))))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i))) (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)))
1
(+.f32 (*.f32 -3 u) 1)
(+.f32 (.f32 -3 u) (+.f32 1 (.f32 3 (pow.f32 u 2))))
(+.f32 (.f32 -3 u) (+.f32 1 (+.f32 (.f32 3 (pow.f32 u 2)) (*.f32 -1 (pow.f32 u 3)))))
(*.f32 -1 (pow.f32 u 3))
(+.f32 (.f32 3 (pow.f32 u 2)) (.f32 -1 (pow.f32 u 3)))
(+.f32 (.f32 -3 u) (+.f32 (.f32 3 (pow.f32 u 2)) (*.f32 -1 (pow.f32 u 3))))
(+.f32 1 (+.f32 (.f32 -3 u) (+.f32 (.f32 3 (pow.f32 u 2)) (*.f32 -1 (pow.f32 u 3)))))
(*.f32 -1 (pow.f32 u 3))
(+.f32 (.f32 3 (pow.f32 u 2)) (.f32 -1 (pow.f32 u 3)))
(+.f32 (.f32 -3 u) (+.f32 (.f32 3 (pow.f32 u 2)) (*.f32 -1 (pow.f32 u 3))))
(+.f32 1 (+.f32 (.f32 -3 u) (+.f32 (.f32 3 (pow.f32 u 2)) (*.f32 -1 (pow.f32 u 3)))))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(*.f32 -1/6 (pow.f32 u 3))
(.f32 -1/6 (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(.f32 -1/6 (.f32 n1_i u))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(.f32 -1/6 (.f32 n1_i u))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(*.f32 -1/6 n0_i)
(+.f32 (.f32 -1/6 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)) (.f32 -1/6 n0_i))
(+.f32 (.f32 -1/6 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)) (.f32 -1/6 n0_i))
(+.f32 (.f32 -1/6 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)) (.f32 -1/6 n0_i))
(.f32 -1/6 (.f32 (+.f32 n1_i (*.f32 -1 n0_i)) u))
(+.f32 (.f32 -1/6 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)) (.f32 -1/6 n0_i))
(+.f32 (.f32 -1/6 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)) (.f32 -1/6 n0_i))
(+.f32 (.f32 -1/6 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)) (.f32 -1/6 n0_i))
(.f32 1/6 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i)))
(+.f32 (.f32 -1/6 n0_i) (.f32 1/6 (.f32 u (+.f32 (.f32 -1 n1_i) n0_i))))
(+.f32 (.f32 -1/6 n0_i) (.f32 1/6 (.f32 u (+.f32 (.f32 -1 n1_i) n0_i))))
(+.f32 (.f32 -1/6 n0_i) (.f32 1/6 (.f32 u (+.f32 (.f32 -1 n1_i) n0_i))))
(.f32 -1/6 (.f32 n1_i u))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(.f32 -1/6 (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(.f32 -1/6 (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 1 u) n0_i)) (.f32 -1/6 (.f32 n1_i u)))
(-.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 0)
(-.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i -1/6)) (+.f32 1 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3)))) 1/6))) 1)
(.f32 1 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))))
(.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(.f32 -1/6 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 1))
(.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 1)
(.f32 2 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3)))))) -1/12))
(.f32 (.f32 -1/6 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2)) 1/2)
(.f32 4 (/.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4))
(.f32 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4) 1/4)
(.f32 1/2 (.f32 -1/6 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2)))
(.f32 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3)))))) -1/12) 2)
(.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) -1/6)
(/.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 1)
(/.f32 (.f32 -1/6 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2)) 2)
(/.f32 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4) 4)
(/.f32 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4))))) 64)
(pow.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 1)
(+.f32 (pow.f32 (-.f32 1 u) 3) 0)
(+.f32 0 (pow.f32 (-.f32 1 u) 3))
(+.f32 -1 (-.f32 1 (pow.f32 (+.f32 u -1) 3)))
(+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2) (.f32 (pow.f32 (-.f32 1 u) 3) 1/2))
(-.f32 (pow.f32 (-.f32 1 u) 3) 0)
(-.f32 0 (pow.f32 (+.f32 u -1) 3))
(*.f32 1 (pow.f32 (-.f32 1 u) 3))
(*.f32 (pow.f32 (-.f32 1 u) 3) 1)
(.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2))
(*.f32 4 (/.f32 (pow.f32 (-.f32 1 u) 3) 4))
(.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 2) 1/2)
(.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 4) 1/4)
(*.f32 8 (pow.f32 (/.f32 (+.f32 u -1) -2) 3))
(.f32 1/2 (.f32 (pow.f32 (-.f32 1 u) 3) 2))
(.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2) 2)
(.f32 (pow.f32 (.f32 (-.f32 1 u) 2) 3) 1/8)
(*.f32 (pow.f32 (+.f32 u -1) 3) -1)
(/.f32 (pow.f32 (-.f32 1 u) 3) 1)
(/.f32 (*.f32 (pow.f32 (-.f32 1 u) 3) 2) 2)
(/.f32 (*.f32 (pow.f32 (-.f32 1 u) 3) 4) 4)
(/.f32 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (pow.f32 (-.f32 1 u) 3) 4))) 16)
(/.f32 (pow.f32 (+.f32 u -1) 3) -1)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 (-.f32 1 u) 3) 4))))) 64)
(neg.f32 (pow.f32 (+.f32 u -1) 3))
(+.f32 (*.f32 -1/6 (pow.f32 u 3)) 0)
(+.f32 0 (*.f32 -1/6 (pow.f32 u 3)))
(+.f32 (.f32 (pow.f32 u 3) -1/12) (.f32 (pow.f32 u 3) -1/12))
(-.f32 (*.f32 -1/6 (pow.f32 u 3)) 0)
(/.f32 (*.f32 -1/6 (pow.f32 u 3)) 1)
(/.f32 (*.f32 (pow.f32 u 3) -1/3) 2)
(/.f32 (*.f32 (pow.f32 u 3) -2/3) 4)
(/.f32 (.f32 2 (.f32 (pow.f32 u 3) -2/3)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (pow.f32 u 3) -2/3))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 u 3) -2/3)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 u 3) -2/3))))) 64)
(pow.f32 (*.f32 -1/6 (pow.f32 u 3)) 1)
(+.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 0)
(+.f32 0 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -1/12) (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -1/12))
(-.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 0)
(/.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1)
(/.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) -1/3) 2)
(/.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) -2/3) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -2/3)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) -2/3))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -2/3)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) -2/3))))) 64)
(pow.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1)

Outputs
(.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 n0_i -1)))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) u))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 n0_i -1)))) u) (.f32 -1/2 (.f32 n0_i (pow.f32 u 2))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (.f32 n0_i (*.f32 -1/2 (pow.f32 u 2))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (.f32 (pow.f32 u 2) (*.f32 n0_i -1/2)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (.f32 -1/2 (*.f32 n0_i (pow.f32 u 2))))
(+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (*.f32 -1 n0_i)))) u)))
(+.f32 (.f32 -1/2 (.f32 n0_i (pow.f32 u 2))) (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 n0_i -1)))) u) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (*.f32 -1/6 n1_i)))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (+.f32 (.f32 n0_i (.f32 -1/2 (pow.f32 u 2))) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (.f32 -1/6 n1_i)))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (+.f32 (.f32 (pow.f32 u 2) (.f32 n0_i -1/2)) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (.f32 -1/6 n1_i)))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (+.f32 (.f32 -1/2 (.f32 n0_i (pow.f32 u 2))) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (.f32 -1/6 n1_i)))))
(+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (*.f32 -1 n0_i)))) u)))
(+.f32 (.f32 -1/2 (.f32 n0_i (pow.f32 u 2))) (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 n0_i -1)))) u) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (*.f32 -1/6 n1_i)))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (+.f32 (.f32 n0_i (.f32 -1/2 (pow.f32 u 2))) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (.f32 -1/6 n1_i)))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (+.f32 (.f32 (pow.f32 u 2) (.f32 n0_i -1/2)) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (.f32 -1/6 n1_i)))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (+.f32 (.f32 -1/2 (.f32 n0_i (pow.f32 u 2))) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (.f32 -1/6 n1_i)))))
(.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (*.f32 -1/6 n1_i)))
(.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (*.f32 -1/6 n1_i)))
(+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))) (.f32 -1/2 (*.f32 (pow.f32 u 2) n0_i)))
(+.f32 (.f32 -1/2 (.f32 n0_i (pow.f32 u 2))) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (*.f32 -1/6 n1_i))))
(+.f32 (.f32 n0_i (.f32 -1/2 (pow.f32 u 2))) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (*.f32 -1/6 n1_i))))
(+.f32 (.f32 (pow.f32 u 2) (.f32 n0_i -1/2)) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (*.f32 -1/6 n1_i))))
(+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) n0_i)) (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (*.f32 -1 n0_i)))) u)))
(+.f32 (.f32 -1/2 (.f32 n0_i (pow.f32 u 2))) (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 n0_i -1)))) u) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (*.f32 -1/6 n1_i)))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (+.f32 (.f32 n0_i (.f32 -1/2 (pow.f32 u 2))) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (.f32 -1/6 n1_i)))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (+.f32 (.f32 (pow.f32 u 2) (.f32 n0_i -1/2)) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (.f32 -1/6 n1_i)))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (+.f32 (.f32 -1/2 (.f32 n0_i (pow.f32 u 2))) (.f32 (pow.f32 u 3) (+.f32 (.f32 n0_i 1/6) (.f32 -1/6 n1_i)))))
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1
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(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) -1/6)
(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(/.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 1)
(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(/.f32 (.f32 -1/6 (.f32 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2)) 2)
(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(/.f32 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4) 4)
(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(/.f32 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4)) 8)
(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4))) 16)
(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4)))) 32)
(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 4))))) 64)
(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(pow.f32 (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) n0_i) (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (-.f32 u (pow.f32 u 3))))))) 1)
(.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))
(+.f32 (pow.f32 (-.f32 1 u) 3) 0)
(pow.f32 (-.f32 1 u) 3)
(+.f32 0 (pow.f32 (-.f32 1 u) 3))
(pow.f32 (-.f32 1 u) 3)
(+.f32 -1 (-.f32 1 (pow.f32 (+.f32 u -1) 3)))
(+.f32 -1 (-.f32 1 (pow.f32 (+.f32 -1 u) 3)))
(neg.f32 (pow.f32 (+.f32 -1 u) 3))
(+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2) (.f32 (pow.f32 (-.f32 1 u) 3) 1/2))
(pow.f32 (-.f32 1 u) 3)
(-.f32 (pow.f32 (-.f32 1 u) 3) 0)
(pow.f32 (-.f32 1 u) 3)
(-.f32 0 (pow.f32 (+.f32 u -1) 3))
(+.f32 -1 (-.f32 1 (pow.f32 (+.f32 -1 u) 3)))
(neg.f32 (pow.f32 (+.f32 -1 u) 3))
(*.f32 1 (pow.f32 (-.f32 1 u) 3))
(pow.f32 (-.f32 1 u) 3)
(*.f32 (pow.f32 (-.f32 1 u) 3) 1)
(pow.f32 (-.f32 1 u) 3)
(.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2))
(pow.f32 (-.f32 1 u) 3)
(*.f32 4 (/.f32 (pow.f32 (-.f32 1 u) 3) 4))
(pow.f32 (-.f32 1 u) 3)
(.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 2) 1/2)
(pow.f32 (-.f32 1 u) 3)
(.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 4) 1/4)
(pow.f32 (-.f32 1 u) 3)
(*.f32 8 (pow.f32 (/.f32 (+.f32 u -1) -2) 3))
(*.f32 8 (pow.f32 (/.f32 (+.f32 -1 u) -2) 3))
(.f32 1/2 (.f32 (pow.f32 (-.f32 1 u) 3) 2))
(pow.f32 (-.f32 1 u) 3)
(.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2) 2)
(pow.f32 (-.f32 1 u) 3)
(.f32 (pow.f32 (.f32 (-.f32 1 u) 2) 3) 1/8)
(pow.f32 (-.f32 1 u) 3)
(*.f32 (pow.f32 (+.f32 u -1) 3) -1)
(+.f32 -1 (-.f32 1 (pow.f32 (+.f32 -1 u) 3)))
(neg.f32 (pow.f32 (+.f32 -1 u) 3))
(/.f32 (pow.f32 (-.f32 1 u) 3) 1)
(pow.f32 (-.f32 1 u) 3)
(/.f32 (*.f32 (pow.f32 (-.f32 1 u) 3) 2) 2)
(pow.f32 (-.f32 1 u) 3)
(/.f32 (*.f32 (pow.f32 (-.f32 1 u) 3) 4) 4)
(pow.f32 (-.f32 1 u) 3)
(/.f32 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4)) 8)
(pow.f32 (-.f32 1 u) 3)
(/.f32 (.f32 2 (.f32 2 (*.f32 (pow.f32 (-.f32 1 u) 3) 4))) 16)
(pow.f32 (-.f32 1 u) 3)
(/.f32 (pow.f32 (+.f32 u -1) 3) -1)
(+.f32 -1 (-.f32 1 (pow.f32 (+.f32 -1 u) 3)))
(neg.f32 (pow.f32 (+.f32 -1 u) 3))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4)))) 32)
(pow.f32 (-.f32 1 u) 3)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 (-.f32 1 u) 3) 4))))) 64)
(pow.f32 (-.f32 1 u) 3)
(neg.f32 (pow.f32 (+.f32 u -1) 3))
(+.f32 -1 (-.f32 1 (pow.f32 (+.f32 -1 u) 3)))
(neg.f32 (pow.f32 (+.f32 -1 u) 3))
(+.f32 (*.f32 -1/6 (pow.f32 u 3)) 0)
(*.f32 -1/6 (pow.f32 u 3))
(+.f32 0 (*.f32 -1/6 (pow.f32 u 3)))
(*.f32 -1/6 (pow.f32 u 3))
(+.f32 (.f32 (pow.f32 u 3) -1/12) (.f32 (pow.f32 u 3) -1/12))
(*.f32 -1/6 (pow.f32 u 3))
(-.f32 (*.f32 -1/6 (pow.f32 u 3)) 0)
(*.f32 -1/6 (pow.f32 u 3))
(/.f32 (*.f32 -1/6 (pow.f32 u 3)) 1)
(*.f32 -1/6 (pow.f32 u 3))
(/.f32 (*.f32 (pow.f32 u 3) -1/3) 2)
(*.f32 -1/6 (pow.f32 u 3))
(/.f32 (*.f32 (pow.f32 u 3) -2/3) 4)
(*.f32 -1/6 (pow.f32 u 3))
(/.f32 (.f32 2 (.f32 (pow.f32 u 3) -2/3)) 8)
(*.f32 -1/6 (pow.f32 u 3))
(/.f32 (.f32 2 (.f32 2 (*.f32 (pow.f32 u 3) -2/3))) 16)
(*.f32 -1/6 (pow.f32 u 3))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 u 3) -2/3)))) 32)
(*.f32 -1/6 (pow.f32 u 3))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 u 3) -2/3))))) 64)
(*.f32 -1/6 (pow.f32 u 3))
(pow.f32 (*.f32 -1/6 (pow.f32 u 3)) 1)
(*.f32 -1/6 (pow.f32 u 3))
(+.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 0)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(+.f32 0 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(+.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -1/12) (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -1/12))
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(-.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 0)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(/.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(/.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) -1/3) 2)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(/.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) -2/3) 4)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -2/3)) 8)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) -2/3))) 16)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) -2/3)))) 32)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) -2/3))))) 64)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))
(pow.f32 (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1)
(+.f32 (.f32 n1_i (.f32 -1/6 u)) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))
(.f32 -1/6 (+.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n1_i u)))

localize29.0ms (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))
✓	0.2b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series2.0ms (0%)

Counts

3 → 30

Calls

21 calls:

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

rewrite244.0ms (0.9%)

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)))))

simplify386.0ms (1.5%)

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)

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (*.f32 (-.f32 1 u) normAngle))
✓	0.0b	(/.f32 n0_i (sin.f32 normAngle))
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.3b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))

Compiler

Compiled 39 to 21 computations (46.2% saved)

series2.0ms (0%)

Counts

3 → 52

Calls

21 calls:

Time	Variable		Expression
0.0ms	normAngle	@	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
0.0ms	normAngle	@	(sin.f32 (*.f32 (-.f32 1 u) normAngle))
0.0ms	u	@	(sin.f32 (*.f32 (-.f32 1 u) normAngle))
0.0ms	u	@	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
0.0ms	normAngle	@	(/.f32 n0_i (sin.f32 normAngle))

rewrite108.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2004×	`rational.json-1`
2004×	`rational.json-2`
2004×	`rational.json-4`
2004×	`rational.json-3`
716×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	61
1	98	61
2	230	61
3	530	61
4	1300	61
5	5334	61

Stop Event

1×	node limit

Counts

3 → 216

Calls

Call 1

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

Outputs

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

simplify142.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1754×	`rational.json-simplify-35`
1374×	`rational.json-simplify-44`
1246×	`rational.json-simplify-49`
1216×	`rational.json-simplify-47`
1052×	`rational.json-simplify-61`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	566	9960
1	1861	9368

Stop Event

1×	node limit

Counts

268 → 324

Calls

Call 1

Inputs
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 n0_i normAngle)
(+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (.f32 1/6 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i))))) (pow.f32 normAngle 5))) (+.f32 (.f32 1/6 (*.f32 n0_i normAngle)) (/.f32 n0_i normAngle))))
(sin.f32 normAngle)
(+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (*.f32 u normAngle))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle)))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle))) (.f32 1/6 (.f32 (cos.f32 normAngle) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(*.f32 (-.f32 1 u) normAngle)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5))) (+.f32 (.f32 -1/5040 (.f32 (pow.f32 (-.f32 1 u) 7) (pow.f32 normAngle 7))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle))))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) 0)
(+.f32 0 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(-.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) 0)
(/.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(/.f32 1 (.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (.f32 (-.f32 1 u) normAngle))) 1))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(/.f32 n0_i (.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 (-.f32 1 u) normAngle))) 1))
(/.f32 n0_i (.f32 -1 (/.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 (/.f32 1 (sin.f32 (.f32 (-.f32 1 u) normAngle))) 1))
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) (.f32 1/2 (/.f32 2 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) 1)
(/.f32 (+.f32 n0_i n0_i) (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (+.f32 n0_i n0_i) (+.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 (-.f32 1 u) normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (+.f32 n0_i n0_i) (.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))) 1))
(/.f32 (+.f32 n0_i n0_i) (.f32 -2 (/.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 2 (/.f32 2 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))))
(/.f32 2 (+.f32 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (.f32 (-.f32 1 u) normAngle))) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 2 (.f32 (/.f32 2 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) 1))
(/.f32 (/.f32 (+.f32 n0_i n0_i) (sin.f32 normAngle)) (/.f32 2 (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(/.f32 (/.f32 (+.f32 n0_i n0_i) (sin.f32 normAngle)) (+.f32 (/.f32 1 (sin.f32 (.f32 (-.f32 1 u) normAngle))) (/.f32 1 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (/.f32 (+.f32 n0_i n0_i) (sin.f32 normAngle)) (.f32 2 (/.f32 1 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (/.f32 (+.f32 n0_i n0_i) (sin.f32 normAngle)) (.f32 (/.f32 2 (sin.f32 (.f32 (-.f32 1 u) normAngle))) 1))
(/.f32 (.f32 n0_i 4) (+.f32 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 (-.f32 1 u) normAngle)))) (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (*.f32 (-.f32 1 u) normAngle))))))
(/.f32 (.f32 n0_i 4) (/.f32 (.f32 (sin.f32 normAngle) 4) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(/.f32 (.f32 n0_i 4) (.f32 4 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 n0_i 4) (.f32 (.f32 (sin.f32 normAngle) 4) (/.f32 1 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 n0_i 4) (.f32 2 (.f32 (sin.f32 normAngle) (/.f32 2 (sin.f32 (.f32 (-.f32 1 u) normAngle))))))
(/.f32 (.f32 n0_i 4) (.f32 (.f32 (sin.f32 normAngle) 2) (/.f32 2 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 n0_i 4) (.f32 -4 (/.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 n0_i 4) (/.f32 4 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) 2) (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 (+.f32 n0_i n0_i) (sin.f32 normAngle))) 2)
(/.f32 4 (+.f32 (/.f32 2 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) (/.f32 2 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))))
(/.f32 4 (/.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) n0_i) (sin.f32 (.f32 (-.f32 1 u) normAngle))))
(/.f32 4 (.f32 (/.f32 (.f32 (sin.f32 normAngle) 4) n0_i) (/.f32 1 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
(/.f32 4 (.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (/.f32 2 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
(/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 (/.f32 1 n0_i) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(/.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (/.f32 1 n0_i) (/.f32 1 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(/.f32 (neg.f32 n0_i) (.f32 (/.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle))) 1))
(/.f32 (neg.f32 n0_i) (/.f32 (neg.f32 (.f32 (sin.f32 normAngle) 2)) (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 2)))
(/.f32 (neg.f32 n0_i) (/.f32 -1 (/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))))
(/.f32 (/.f32 (sin.f32 normAngle) n0_i) (.f32 (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle)))) (/.f32 1 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
(/.f32 -1 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n0_i)) (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(/.f32 -1 (.f32 (neg.f32 (/.f32 (sin.f32 normAngle) n0_i)) (/.f32 1 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (.f32 (.f32 2 (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))))) (/.f32 1 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle)))) (/.f32 2 (sin.f32 (.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4) (+.f32 (/.f32 2 (sin.f32 (.f32 (-.f32 1 u) normAngle))) (/.f32 2 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4) (/.f32 4 (sin.f32 (.f32 (-.f32 1 u) normAngle))))
(/.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4) (.f32 4 (/.f32 1 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
(/.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4) (.f32 2 (/.f32 2 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
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(pow.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 1)
(neg.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))))

Outputs
n0_i
(+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 -1 (.f32 (.f32 n0_i (.f32 normAngle u)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))
(+.f32 n0_i (neg.f32 (.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (/.f32 u (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 n0_i (.f32 -1 (.f32 (.f32 n0_i (.f32 normAngle u)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) (.f32 -1/2 (.f32 n0_i (pow.f32 (*.f32 normAngle u) 2))))
(+.f32 n0_i (+.f32 (neg.f32 (.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (/.f32 u (sin.f32 normAngle)))) (.f32 n0_i (.f32 -1/2 (pow.f32 (.f32 normAngle u) 2)))))
(+.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 -1/2 (.f32 n0_i (pow.f32 (.f32 normAngle u) 2))) (+.f32 (+.f32 n0_i (.f32 -1 (.f32 (.f32 n0_i (.f32 normAngle u)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))) (.f32 1/6 (.f32 (.f32 n0_i (pow.f32 (*.f32 normAngle u) 3)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (+.f32 (+.f32 (neg.f32 (.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (/.f32 u (sin.f32 normAngle)))) (.f32 n0_i (.f32 -1/2 (pow.f32 (.f32 normAngle u) 2)))) (.f32 (.f32 n0_i (pow.f32 (.f32 normAngle u) 3)) (.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) 1/6))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 -1 u)))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 -1 u)))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 -1 u)))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (*.f32 -1 u)) normAngle))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 normAngle (+.f32 1 (*.f32 -1 u)))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(+.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 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (-.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (*.f32 n0_i (-.f32 1 u))))))
(+.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 (pow.f32 normAngle 2) (-.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (-.f32 (.f32 1/120 (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i 1/120)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))))) (pow.f32 normAngle 4))))
(+.f32 (.f32 n0_i (-.f32 1 u)) (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 n0_i (-.f32 1 u))))) (.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i 1/120)) (+.f32 (.f32 (.f32 n0_i (-.f32 1 u)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 n0_i (-.f32 1 u))))))) (pow.f32 normAngle 4))))
(+.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 (pow.f32 normAngle 2) (-.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i 1/120)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (.f32 (-.f32 1 u) (.f32 n0_i -1/6)))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (-.f32 (.f32 -1/5040 (.f32 n0_i (pow.f32 (-.f32 1 u) 7))) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i -1/5040)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i 1/120)) (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (.f32 (-.f32 1 u) (.f32 n0_i -1/6))))))) (.f32 (-.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (.f32 (-.f32 1 u) (.f32 n0_i -1/6))) 1/120)))) (pow.f32 normAngle 6)))))
(+.f32 (.f32 n0_i (-.f32 1 u)) (+.f32 (+.f32 (.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i 1/120)) (+.f32 (.f32 (.f32 n0_i (-.f32 1 u)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 n0_i (-.f32 1 u))))))) (pow.f32 normAngle 4)) (.f32 (-.f32 (.f32 n0_i (.f32 -1/5040 (pow.f32 (-.f32 1 u) 7))) (+.f32 (.f32 n0_i (.f32 -1/5040 (-.f32 1 u))) (+.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i 1/120)) (+.f32 (.f32 (.f32 n0_i (-.f32 1 u)) 1/120) (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 n0_i (-.f32 1 u)))))))) (.f32 (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 n0_i (-.f32 1 u)))) 1/120)))) (pow.f32 normAngle 6))) (.f32 (pow.f32 normAngle 2) (.f32 -1/6 (-.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (.f32 n0_i (-.f32 1 u)))))))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 n0_i normAngle)
(+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle))
(+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 normAngle 1/6)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)))
(+.f32 (+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 normAngle 1/6))) (.f32 -1 (.f32 (pow.f32 normAngle 3) (+.f32 (.f32 n0_i 1/120) (.f32 n0_i -1/36)))))
(+.f32 (/.f32 n0_i normAngle) (+.f32 (.f32 (.f32 n0_i -7/360) (neg.f32 (pow.f32 normAngle 3))) (.f32 n0_i (.f32 normAngle 1/6))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (.f32 1/6 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i))))) (pow.f32 normAngle 5))) (+.f32 (.f32 1/6 (*.f32 n0_i normAngle)) (/.f32 n0_i normAngle))))
(+.f32 (.f32 -1 (.f32 (pow.f32 normAngle 3) (+.f32 (.f32 n0_i 1/120) (.f32 n0_i -1/36)))) (+.f32 (+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 normAngle 1/6))) (.f32 -1 (.f32 (+.f32 (.f32 n0_i 1/720) (+.f32 (.f32 n0_i -1/5040) (.f32 1/6 (+.f32 (.f32 n0_i 1/120) (*.f32 n0_i -1/36))))) (pow.f32 normAngle 5)))))
(+.f32 (+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 normAngle 1/6))) (+.f32 (.f32 (.f32 n0_i -7/360) (neg.f32 (pow.f32 normAngle 3))) (.f32 (+.f32 (.f32 1/6 (.f32 n0_i -7/360)) (+.f32 (.f32 n0_i -1/5040) (*.f32 n0_i 1/720))) (neg.f32 (pow.f32 normAngle 5)))))
(sin.f32 normAngle)
(+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (*.f32 u normAngle))))
(+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (*.f32 normAngle u))))
(+.f32 (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (neg.f32 (.f32 normAngle u))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle)))))
(+.f32 (+.f32 (sin.f32 normAngle) (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 normAngle u)))) (.f32 -1/2 (.f32 (sin.f32 normAngle) (pow.f32 (.f32 normAngle u) 2))))
(+.f32 (sin.f32 normAngle) (+.f32 (.f32 (cos.f32 normAngle) (neg.f32 (.f32 normAngle u))) (.f32 (pow.f32 (.f32 normAngle u) 2) (*.f32 -1/2 (sin.f32 normAngle)))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))) (+.f32 (sin.f32 normAngle) (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 u normAngle))) (.f32 1/6 (.f32 (cos.f32 normAngle) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(+.f32 (.f32 -1/2 (.f32 (sin.f32 normAngle) (pow.f32 (.f32 normAngle u) 2))) (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 normAngle u))) (+.f32 (.f32 (cos.f32 normAngle) (.f32 (pow.f32 (*.f32 normAngle u) 3) 1/6)) (sin.f32 normAngle))))
(+.f32 (.f32 (cos.f32 normAngle) (neg.f32 (.f32 normAngle u))) (+.f32 (+.f32 (sin.f32 normAngle) (.f32 (pow.f32 (.f32 normAngle u) 3) (.f32 1/6 (cos.f32 normAngle)))) (.f32 (pow.f32 (.f32 normAngle u) 2) (.f32 -1/2 (sin.f32 normAngle)))))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 normAngle (+.f32 1 (.f32 -1 u))))
(sin.f32 (*.f32 normAngle (+.f32 1 (neg.f32 u))))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 normAngle (+.f32 1 (.f32 -1 u))))
(sin.f32 (*.f32 normAngle (+.f32 1 (neg.f32 u))))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 normAngle (+.f32 1 (.f32 -1 u))))
(sin.f32 (*.f32 normAngle (+.f32 1 (neg.f32 u))))
(sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))
(sin.f32 (.f32 normAngle (+.f32 1 (.f32 -1 u))))
(sin.f32 (*.f32 normAngle (+.f32 1 (neg.f32 u))))
(*.f32 (-.f32 1 u) normAngle)
(*.f32 normAngle (-.f32 1 u))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle))
(+.f32 (.f32 normAngle (-.f32 1 u)) (.f32 -1/6 (pow.f32 (*.f32 normAngle (-.f32 1 u)) 3)))
(+.f32 (.f32 1/120 (.f32 (pow.f32 (-.f32 1 u) 5) (pow.f32 normAngle 5))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (-.f32 1 u) 3) (pow.f32 normAngle 3))) (*.f32 (-.f32 1 u) normAngle)))
(+.f32 (.f32 -1/6 (pow.f32 (.f32 normAngle (-.f32 1 u)) 3)) (+.f32 (.f32 normAngle (-.f32 1 u)) (.f32 1/120 (pow.f32 (*.f32 normAngle (-.f32 1 u)) 5))))
(+.f32 (.f32 normAngle (-.f32 1 u)) (+.f32 (.f32 1/120 (pow.f32 (.f32 normAngle (-.f32 1 u)) 5)) (.f32 -1/6 (pow.f32 (*.f32 normAngle (-.f32 1 u)) 3))))
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(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) 1/2) (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 (neg.f32 normAngle))) (/.f32 -1 n0_i))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) 2)) (-.f32 0 (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i))))
(/.f32 (neg.f32 (.f32 2 (sin.f32 (.f32 normAngle (-.f32 1 u))))) (neg.f32 (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) -2) (neg.f32 (*.f32 (sin.f32 normAngle) (/.f32 2 n0_i))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))) (-.f32 0 (/.f32 1 n0_i)))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(pow.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) 1)
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))
(+.f32 (/.f32 n0_i (sin.f32 normAngle)) 0)
(/.f32 n0_i (sin.f32 normAngle))
(+.f32 0 (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 n0_i (sin.f32 normAngle))
(+.f32 (.f32 n0_i (/.f32 1/2 (sin.f32 normAngle))) (.f32 n0_i (/.f32 1/2 (sin.f32 normAngle))))
(*.f32 (+.f32 n0_i n0_i) (/.f32 1/2 (sin.f32 normAngle)))
(-.f32 (/.f32 n0_i (sin.f32 normAngle)) 0)
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 1 (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 n0_i (/.f32 1 (sin.f32 normAngle)))
(/.f32 n0_i (sin.f32 normAngle))
(.f32 n0_i (.f32 (*.f32 2 (/.f32 1 (sin.f32 normAngle))) 1/2))
(.f32 n0_i (.f32 1/2 (*.f32 2 (/.f32 1 (sin.f32 normAngle)))))
(.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) 1))
(.f32 n0_i (.f32 (/.f32 2 (sin.f32 normAngle)) 1/2))
(.f32 n0_i (.f32 1/2 (/.f32 2 (sin.f32 normAngle))))
(.f32 (/.f32 2 (sin.f32 normAngle)) (.f32 n0_i 1/2))
(.f32 (sin.f32 normAngle) (/.f32 (/.f32 1 n0_i) (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))))))
(.f32 (sin.f32 normAngle) (/.f32 1 (.f32 n0_i (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle))))))
(.f32 (/.f32 2 n0_i) (/.f32 (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))) 2))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) 1)
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 (+.f32 n0_i n0_i) (/.f32 1/2 (sin.f32 normAngle)))
(+.f32 (.f32 n0_i (/.f32 1/2 (sin.f32 normAngle))) (.f32 n0_i (/.f32 1/2 (sin.f32 normAngle))))
(.f32 2 (.f32 n0_i (/.f32 1/2 (sin.f32 normAngle))))
(.f32 n0_i (.f32 (/.f32 1/2 (sin.f32 normAngle)) 2))
(.f32 n0_i (.f32 2 (/.f32 1/2 (sin.f32 normAngle))))
(*.f32 (/.f32 (+.f32 n0_i n0_i) (sin.f32 normAngle)) 1/2)
(*.f32 1/2 (/.f32 (+.f32 n0_i n0_i) (sin.f32 normAngle)))
(*.f32 1/2 (/.f32 n0_i (/.f32 (sin.f32 normAngle) 2)))
(.f32 (.f32 n0_i 4) (/.f32 1 (*.f32 (sin.f32 normAngle) 4)))
(.f32 n0_i (.f32 4 (/.f32 1/4 (sin.f32 normAngle))))
(.f32 (.f32 n0_i 4) (*.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))
(.f32 1/2 (.f32 (/.f32 1/2 (sin.f32 normAngle)) (*.f32 n0_i 4)))
(.f32 1/2 (.f32 (*.f32 n0_i 4) (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (.f32 n0_i 4) (.f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) 1))
(.f32 (.f32 n0_i 4) (/.f32 1 (*.f32 (sin.f32 normAngle) 4)))
(.f32 n0_i (.f32 4 (/.f32 1/4 (sin.f32 normAngle))))
(.f32 (.f32 n0_i 4) (*.f32 1/4 (/.f32 1 (sin.f32 normAngle))))
(/.f32 n0_i (sin.f32 normAngle))
(.f32 4 (/.f32 n0_i (.f32 (sin.f32 normAngle) 4)))
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 4 (/.f32 (/.f32 n0_i (sin.f32 normAngle)) 4))
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (/.f32 1 n0_i)))
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 (neg.f32 n0_i) (/.f32 -1 (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))
(.f32 (neg.f32 n0_i) (.f32 (/.f32 -1 (sin.f32 normAngle)) 1))
(*.f32 (neg.f32 n0_i) (/.f32 -1 (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))))))
(*.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle)))))
(.f32 (/.f32 (sin.f32 normAngle) n0_i) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 2 (.f32 2 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (/.f32 n0_i (sin.f32 normAngle)))))))
(*.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 1 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle)))))
(.f32 (/.f32 (sin.f32 normAngle) n0_i) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(*.f32 -1 (/.f32 n0_i (sin.f32 (neg.f32 normAngle))))
(*.f32 (neg.f32 n0_i) (/.f32 -1 (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))
(.f32 -1 (.f32 (/.f32 n0_i (sin.f32 (neg.f32 normAngle))) 1))
(*.f32 (neg.f32 n0_i) (/.f32 -1 (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (+.f32 n0_i n0_i) (neg.f32 (.f32 (sin.f32 normAngle) 2))))
(*.f32 (neg.f32 n0_i) (/.f32 -1 (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (/.f32 1 (.f32 2 (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle)))))))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (/.f32 1/2 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle)))))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (*.f32 n0_i (/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 normAngle) 1/2))))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (/.f32 1/2 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))))))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (/.f32 1/2 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle)))))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n0_i)) (*.f32 n0_i (/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 normAngle) 1/2))))
(.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4) 1/4)
(/.f32 n0_i (sin.f32 normAngle))
(.f32 (.f32 n0_i 8) (/.f32 1 (*.f32 (sin.f32 normAngle) 8)))
(/.f32 n0_i (sin.f32 normAngle))
(*.f32 (/.f32 1/2 (sin.f32 normAngle)) (+.f32 n0_i n0_i))
(+.f32 (.f32 n0_i (/.f32 1/2 (sin.f32 normAngle))) (.f32 n0_i (/.f32 1/2 (sin.f32 normAngle))))
(*.f32 (+.f32 n0_i n0_i) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 (/.f32 1 n0_i) (/.f32 (sin.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))))))
(*.f32 (/.f32 1 n0_i) (/.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle)))))
(.f32 (/.f32 1 n0_i) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))))
(.f32 (/.f32 1 n0_i) (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 2 (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle)))))))
(.f32 (/.f32 1 n0_i) (/.f32 (/.f32 (.f32 (sin.f32 normAngle) 2) 2) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle)))))
(.f32 2 (.f32 (/.f32 (*.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))) 2) (/.f32 1 n0_i)))
(*.f32 1/2 (/.f32 (+.f32 n0_i n0_i) (sin.f32 normAngle)))
(*.f32 1/2 (/.f32 n0_i (/.f32 (sin.f32 normAngle) 2)))
(.f32 (.f32 n0_i -2) (/.f32 1/2 (sin.f32 (neg.f32 normAngle))))
(.f32 (.f32 n0_i -2) (/.f32 1/2 (neg.f32 (sin.f32 normAngle))))
(.f32 n0_i (.f32 -2 (/.f32 1/2 (neg.f32 (sin.f32 normAngle)))))
(.f32 (.f32 n0_i -2) (/.f32 1 (*.f32 (sin.f32 normAngle) -2)))
(.f32 (.f32 n0_i -2) (/.f32 -1/2 (sin.f32 normAngle)))
(.f32 (.f32 n0_i -2) (/.f32 1 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))
(.f32 (.f32 n0_i -2) (/.f32 1 (*.f32 (sin.f32 normAngle) -2)))
(.f32 (.f32 n0_i -2) (/.f32 -1/2 (sin.f32 normAngle)))
(.f32 (.f32 2 (/.f32 1 (sin.f32 normAngle))) (*.f32 n0_i 1/2))
(.f32 n0_i (.f32 1/2 (*.f32 2 (/.f32 1 (sin.f32 normAngle)))))
(.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) 1))
(*.f32 (/.f32 n0_i (sin.f32 (neg.f32 normAngle))) -1)
(*.f32 (neg.f32 n0_i) (/.f32 -1 (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))
(.f32 (/.f32 1/2 n0_i) (/.f32 (.f32 (sin.f32 normAngle) 2) (/.f32 (sin.f32 normAngle) (*.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))))))
(.f32 (/.f32 1/2 n0_i) (.f32 2 (/.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle))))))
(.f32 2 (.f32 (*.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))) (/.f32 1/2 n0_i)))
(.f32 (/.f32 (sin.f32 normAngle) (+.f32 n0_i n0_i)) (/.f32 2 (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))))))
(*.f32 (/.f32 (sin.f32 normAngle) (+.f32 n0_i n0_i)) (/.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle)))))
(.f32 (/.f32 (sin.f32 normAngle) (+.f32 n0_i n0_i)) (.f32 n0_i (/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 normAngle) 2))))
(.f32 (/.f32 2 (sin.f32 normAngle)) (.f32 n0_i 1/2))
(.f32 n0_i (.f32 1/2 (/.f32 2 (sin.f32 normAngle))))
(.f32 (.f32 n0_i (/.f32 1/2 (sin.f32 normAngle))) 2)
(.f32 n0_i (.f32 (/.f32 1/2 (sin.f32 normAngle)) 2))
(.f32 n0_i (.f32 2 (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (/.f32 -1 n0_i) (/.f32 (sin.f32 (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))))))
(*.f32 (/.f32 -1 n0_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle)))))
(.f32 1/4 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4))
(/.f32 n0_i (sin.f32 normAngle))
(.f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) (*.f32 n0_i 4))
(.f32 (.f32 n0_i 4) (/.f32 1 (*.f32 (sin.f32 normAngle) 4)))
(.f32 n0_i (.f32 4 (/.f32 1/4 (sin.f32 normAngle))))
(*.f32 (/.f32 -1 (sin.f32 normAngle)) (neg.f32 n0_i))
(*.f32 (neg.f32 n0_i) (/.f32 -1 (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))
(.f32 (.f32 n0_i 1/2) (/.f32 2 (sin.f32 normAngle)))
(.f32 n0_i (.f32 1/2 (/.f32 2 (sin.f32 normAngle))))
(.f32 (/.f32 2 (sin.f32 normAngle)) (.f32 n0_i 1/2))
(.f32 (/.f32 2 n0_i) (/.f32 (sin.f32 normAngle) (.f32 2 (/.f32 (sin.f32 normAngle) (*.f32 n0_i (/.f32 n0_i (sin.f32 normAngle)))))))
(.f32 (sin.f32 normAngle) (/.f32 1 (.f32 n0_i (/.f32 (/.f32 (sin.f32 normAngle) n0_i) (/.f32 n0_i (sin.f32 normAngle))))))
(.f32 (/.f32 2 n0_i) (/.f32 (.f32 n0_i (/.f32 n0_i (sin.f32 normAngle))) 2))
(pow.f32 (/.f32 n0_i (sin.f32 normAngle)) 1)
(/.f32 n0_i (sin.f32 normAngle))
(neg.f32 (/.f32 n0_i (sin.f32 (neg.f32 normAngle))))
(*.f32 (neg.f32 n0_i) (/.f32 -1 (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))
(+.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 0)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(+.f32 0 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(+.f32 -1 (-.f32 1 (neg.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)))))
(+.f32 -1 (-.f32 1 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))))))
(+.f32 -1 (-.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) -1))
(-.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 0)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(-.f32 0 (neg.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(.f32 1 (sin.f32 (.f32 (-.f32 1 u) normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) 1)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(.f32 2 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 1/2))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 2) 1/2)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(.f32 4 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) 4))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 4) 1/4)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(.f32 1/2 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 2))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 1/2) 2)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(.f32 (neg.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle))) -1)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 1)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) 2) 2)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) 4) 4)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(/.f32 (.f32 2 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 4)) 8)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(/.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))) -1)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(/.f32 (+.f32 (.f32 2 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) 4)) (.f32 2 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) 4))) 16)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(pow.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) 1)
(sin.f32 (*.f32 normAngle (-.f32 1 u)))
(neg.f32 (neg.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle))))
(sin.f32 (*.f32 normAngle (-.f32 1 u)))

localize103.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 1 (sin.f32 normAngle))
✓	0.0b	(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
	11.7b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))

Compiler

Compiled 52 to 18 computations (65.4% saved)

series3.0ms (0%)

Counts

2 → 52

Calls

15 calls:

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

rewrite70.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1326×	`rational.json-1`
1326×	`rational.json-2`
1326×	`rational.json-4`
1326×	`rational.json-3`
1318×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	114	44
2	256	44
3	566	44
4	1286	44
5	4230	44

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

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

simplify88.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1324×	`rational.json-simplify-59`
822×	`rational.json-simplify-2`
770×	`rational.json-simplify-47`
742×	`rational.json-simplify-44`
706×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	3034
1	341	2992
2	732	2950
3	1747	2912
4	4418	2912

Stop Event

1×	node limit

Counts

88 → 87

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

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

localize117.0ms (0.4%)

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))
✓	8.7b	(.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)

series9.0ms (0%)

Counts

3 → 84

Calls

33 calls:

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

rewrite143.0ms (0.5%)

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))))))))

simplify153.0ms (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)))

eval806.0ms (3.1%)

Compiler: Compiled 30089 to 17119 computations (43.1% saved)

prune511.0ms (1.9%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1095	17	1112
Fresh	8	3	11
Picked	1	0	1
Done	3	1	4
Total	1107	21	1128

Error

0.0b

Counts

1128 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	17.5b	(/.f32 (/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 n0_i)) (sin.f32 normAngle))
	9.0b	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	17.5b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	21.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	8.3b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
	0.3b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (pow.f32 normAngle 2))))
▶	0.3b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (*.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2))))
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	4.9b	(+.f32 (*.f32 n1_i u) n0_i)
▶	8.6b	(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	5.3b	(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	6.9b	(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
▶	0.4b	(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
▶	9.1b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (*.f32 u normAngle))))
	9.1b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 n0_i normAngle) (.f32 u (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))))))
	9.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))
	12.9b	(*.f32 (-.f32 1 u) n0_i)
	13.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 normAngle 1/6))))
	20.2b	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
▶	19.6b	(*.f32 u n1_i)
	16.1b	n0_i

Compiler

Compiled 640 to 443 computations (30.8% saved)

localize195.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (*.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2))))
	0.2b	(*.f32 (-.f32 1 u) n0_i)
✓	0.2b	(.f32 (.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u))
✓	0.3b	(*.f32 -1/6 n1_i)

Compiler

Compiled 101 to 65 computations (35.6% saved)

series9.0ms (0%)

Counts

3 → 72

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	n1_i	@	0	(.f32 (.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u))
1.0ms	u	@	-inf	(.f32 (.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u))
1.0ms	normAngle	@	0	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (*.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2))))
1.0ms	n1_i	@	0	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (*.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2))))
1.0ms	normAngle	@	inf	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (*.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2))))

rewrite141.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`rational.json-simplify-35`
1460×	`exponential.json-3`
1460×	`rational.json-1`
1460×	`rational.json-2`
1460×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	99
1	146	99
2	284	99
3	595	93
4	1245	93
5	2934	93
6	4703	93
7	6546	93
8	7599	93

Stop Event

1×	node limit

Counts

3 → 41

Calls

Call 1

Inputs

(*.f32 -1/6 n1_i)

(*.f32 (*.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u))

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/6 n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 -1/6 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 n1_i -1/12) (*.f32 n1_i -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 -1/6 n1_i) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1/6 n1_i) 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 2 (*.f32 2 (*.f32 n1_i -2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 n1_i -2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 n1_i -2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/6 n1_i) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/6 (*.f32 n1_i (-.f32 (pow.f32 u 3) u))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 -1/6 (*.f32 n1_i (-.f32 (pow.f32 u 3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -1/12)) (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 -1/6 (*.f32 n1_i (-.f32 (pow.f32 u 3) u))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1/6 (*.f32 n1_i (-.f32 (pow.f32 u 3) u))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -2/3))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -2/3)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -2/3))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -2/3)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/6 (*.f32 n1_i (-.f32 (pow.f32 u 3) u))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2))))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2))))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4)))) 32)))) (#(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 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 n1_i (+.f32 u (*.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 1)))))

simplify630.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

3388×	`rational.json-simplify-2`
2486×	`rational.json-simplify-35`
1698×	`rational.json-simplify-53`
952×	`rational.json-simplify-51`
750×	`rational.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	4865
1	344	4813
2	692	4759
3	1845	4759
4	3566	4759
5	4521	4759
6	5295	4759
7	5614	4759
8	5751	4759
9	5877	4759
10	6003	4759
11	6129	4759
12	6293	4759
13	6515	4759
14	6636	4759
15	6689	4759
16	6711	4759
17	6718	4759
18	6844	4759
19	6970	4759

Stop Event

1×	node limit

Counts

113 → 96

Calls

Call 1

Inputs
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 1/6 (.f32 n1_i u))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(.f32 -1/6 (.f32 n1_i (pow.f32 u 3)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(.f32 -1/6 (.f32 n1_i (pow.f32 u 3)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(.f32 n1_i (+.f32 u (.f32 -1/6 (*.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(.f32 -1 (.f32 n1_i (+.f32 (.f32 1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))) (*.f32 -1 u))))
(+.f32 (.f32 -1 (.f32 n1_i (+.f32 (.f32 1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))) (.f32 -1 u)))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 -1 (.f32 n1_i (+.f32 (.f32 1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))) (.f32 -1 u)))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 -1 (.f32 n1_i (+.f32 (.f32 1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))) (.f32 -1 u)))) (.f32 (-.f32 1 u) n0_i))
n0_i
(+.f32 (.f32 u (+.f32 n1_i (+.f32 (.f32 -1 n0_i) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))))) n0_i)
(+.f32 (.f32 u (+.f32 n1_i (+.f32 (.f32 -1 n0_i) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))))) (+.f32 n0_i (.f32 -1/6 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 2))))))
(+.f32 (.f32 u (+.f32 n1_i (+.f32 (.f32 -1 n0_i) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))))) (+.f32 n0_i (.f32 -1/6 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 2))))))
(.f32 -1/6 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 2))))
(+.f32 (.f32 u (+.f32 n1_i (+.f32 (.f32 -1 n0_i) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))))) (.f32 -1/6 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 2)))))
(+.f32 (.f32 u (+.f32 n1_i (+.f32 (.f32 -1 n0_i) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))))) (+.f32 n0_i (.f32 -1/6 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 2))))))
(+.f32 (.f32 u (+.f32 n1_i (+.f32 (.f32 -1 n0_i) (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))))) (+.f32 n0_i (.f32 -1/6 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 2))))))
(.f32 -1/6 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 2))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1 n1_i) (+.f32 n0_i (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 2))))) u)) (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 2)))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1 n1_i) (+.f32 n0_i (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 2))))) u)) (+.f32 n0_i (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 2))))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1 n1_i) (+.f32 n0_i (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 2))))) u)) (+.f32 n0_i (.f32 -1/6 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 2))))))
(+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (*.f32 -1/6 n1_i) 0)
(+.f32 0 (*.f32 -1/6 n1_i))
(+.f32 (.f32 n1_i -1/12) (.f32 n1_i -1/12))
(-.f32 (*.f32 -1/6 n1_i) 0)
(/.f32 (*.f32 -1/6 n1_i) 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 2 (.f32 2 (*.f32 n1_i -2/3))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 n1_i -2/3)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 n1_i -2/3))))) 64)
(pow.f32 (*.f32 -1/6 n1_i) 1)
(+.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 0)
(+.f32 0 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))))
(+.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -1/12)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -1/12)))
(-.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 0)
(/.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 1)
(/.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -1/3)) 2)
(/.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -2/3)) 4)
(/.f32 (.f32 2 (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -2/3))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -2/3)))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -2/3))))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -2/3)))))) 64)
(pow.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 1)
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 0)
(.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))))
(.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 1/2))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 1)
(.f32 (.f32 2 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))) 1/2)
(.f32 4 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 4) 1/4)
(.f32 1/2 (.f32 2 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 1/2) 2)
(/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 1)
(/.f32 (.f32 2 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2))))))) 2)
(/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 4)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4))))) 64)
(pow.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 1)

Outputs
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(.f32 1/6 (.f32 n1_i u))
(.f32 n1_i (.f32 u 1/6))
(.f32 u (.f32 n1_i 1/6))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 -1/6 (.f32 (pow.f32 u 3) n1_i)))
(.f32 n1_i (+.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u 1/6)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 -1/6 (.f32 (pow.f32 u 3) n1_i)))
(.f32 n1_i (+.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u 1/6)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 -1/6 (.f32 (pow.f32 u 3) n1_i)))
(.f32 n1_i (+.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u 1/6)))
(.f32 -1/6 (.f32 n1_i (pow.f32 u 3)))
(.f32 n1_i (.f32 (pow.f32 u 3) -1/6))
(.f32 -1/6 (.f32 (pow.f32 u 3) n1_i))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 -1/6 (.f32 (pow.f32 u 3) n1_i)))
(.f32 n1_i (+.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u 1/6)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 -1/6 (.f32 (pow.f32 u 3) n1_i)))
(.f32 n1_i (+.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u 1/6)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 -1/6 (.f32 (pow.f32 u 3) n1_i)))
(.f32 n1_i (+.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u 1/6)))
(.f32 -1/6 (.f32 n1_i (pow.f32 u 3)))
(.f32 n1_i (.f32 (pow.f32 u 3) -1/6))
(.f32 -1/6 (.f32 (pow.f32 u 3) n1_i))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 -1/6 (.f32 (pow.f32 u 3) n1_i)))
(.f32 n1_i (+.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u 1/6)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 -1/6 (.f32 (pow.f32 u 3) n1_i)))
(.f32 n1_i (+.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u 1/6)))
(+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 n1_i (.f32 (pow.f32 u 3) -1/6)))
(+.f32 (.f32 n1_i (.f32 u 1/6)) (.f32 -1/6 (.f32 (pow.f32 u 3) n1_i)))
(.f32 n1_i (+.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u 1/6)))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 n1_i (+.f32 u (.f32 -1/6 (*.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2)))))
(.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 -1 (.f32 n1_i (+.f32 (.f32 1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))) (*.f32 -1 u))))
(.f32 n1_i (.f32 (+.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 (pow.f32 normAngle 2) 1/6)) (*.f32 u -1)) -1))
(.f32 n1_i (neg.f32 (+.f32 (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 1/6 (pow.f32 normAngle 2))) (neg.f32 u))))
(+.f32 (.f32 -1 (.f32 n1_i (+.f32 (.f32 1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))) (.f32 -1 u)))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (.f32 (+.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 (pow.f32 normAngle 2) 1/6)) (.f32 u -1)) -1)))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (neg.f32 (+.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 1/6 (pow.f32 normAngle 2))) (neg.f32 u)))))
(+.f32 (.f32 -1 (.f32 n1_i (+.f32 (.f32 1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))) (.f32 -1 u)))) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (.f32 (+.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 (pow.f32 normAngle 2) 1/6)) (.f32 u -1)) -1)))
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n0_i
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(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i (pow.f32 normAngle 2)))) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(+.f32 (*.f32 -1/6 n1_i) 0)
(*.f32 -1/6 n1_i)
(+.f32 0 (*.f32 -1/6 n1_i))
(*.f32 -1/6 n1_i)
(+.f32 (.f32 n1_i -1/12) (.f32 n1_i -1/12))
(*.f32 -1/6 n1_i)
(-.f32 (*.f32 -1/6 n1_i) 0)
(*.f32 -1/6 n1_i)
(/.f32 (*.f32 -1/6 n1_i) 1)
(*.f32 -1/6 n1_i)
(/.f32 (*.f32 n1_i -1/3) 2)
(*.f32 -1/6 n1_i)
(/.f32 (*.f32 n1_i -2/3) 4)
(*.f32 -1/6 n1_i)
(/.f32 (.f32 2 (.f32 n1_i -2/3)) 8)
(*.f32 -1/6 n1_i)
(/.f32 (.f32 2 (.f32 2 (*.f32 n1_i -2/3))) 16)
(*.f32 -1/6 n1_i)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 n1_i -2/3)))) 32)
(*.f32 -1/6 n1_i)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 n1_i -2/3))))) 64)
(*.f32 -1/6 n1_i)
(pow.f32 (*.f32 -1/6 n1_i) 1)
(*.f32 -1/6 n1_i)
(+.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 0)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(+.f32 0 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(+.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -1/12)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -1/12)))
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(-.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 0)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(/.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 1)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(/.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -1/3)) 2)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(/.f32 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -2/3)) 4)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(/.f32 (.f32 2 (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -2/3))) 8)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -2/3)))) 16)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 n1_i -2/3))))) 32)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 (pow.f32 u 3) u) (.f32 n1_i -2/3)))))) 64)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(pow.f32 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u))) 1)
(.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) n1_i))
(.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 n1_i))
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 0)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 1/2))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 1)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 (.f32 2 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))) 1/2)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 4 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 4) 1/4)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 1/2 (.f32 2 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 1/2) 2)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 1)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(/.f32 (.f32 2 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2))))))) 2)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4) 4)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 4)) 8)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4))) 16)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 4)))) 32)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (*.f32 -1/6 (pow.f32 normAngle 2)))))) 4))))) 64)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))
(pow.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2)))))) 1)
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 -1/6 (.f32 (-.f32 (pow.f32 u 3) u) (pow.f32 normAngle 2))))))

localize8.0ms (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	@	0	(*.f32 u n1_i)
0.0ms	n1_i	@	-inf	(*.f32 u n1_i)
0.0ms	u	@	inf	(*.f32 u n1_i)
0.0ms	u	@	-inf	(*.f32 u n1_i)
0.0ms	n1_i	@	inf	(*.f32 u n1_i)

rewrite217.0ms (0.8%)

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)))))

simplify518.0ms (2%)

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)

localize26.0ms (0.1%)

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)

series4.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	n1_i	@	0	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
0.0ms	u	@	0	(*.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)))
0.0ms	n1_i	@	inf	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))

rewrite144.0ms (0.5%)

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 (3.9%)

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)))
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n0_i
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(.f32 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 1/2)
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(.f32 4 (/.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4))
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(.f32 1/2 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2))
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(.f32 1/4 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 4))
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localize149.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 u normAngle)
✓	0.0b	(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	11.7b	(.f32 (/.f32 1 normAngle) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))

Compiler

Compiled 47 to 17 computations (63.8% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

27 calls:

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

rewrite82.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1232×	`rational.json-1`
1232×	`rational.json-2`
1232×	`rational.json-4`
1232×	`rational.json-3`
1224×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	106	59
2	235	59
3	509	59
4	1157	59
5	3924	59

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify130.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1724×	`rational.json-simplify-35`
1340×	`rational.json-simplify-61`
960×	`rational.json-simplify-43`
932×	`rational.json-simplify-46`
928×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	309	5307
1	923	5117
2	2601	4991

Stop Event

1×	node limit

Counts

205 → 176

Calls

Call 1

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

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

localize265.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (.f32 u normAngle)))
✓	0.1b	(.f32 n1_i (.f32 u normAngle))
	0.1b	(.f32 (-.f32 1 u) (.f32 n0_i normAngle))
✓	8.8b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (*.f32 u normAngle))))

Compiler

Compiled 67 to 27 computations (59.7% saved)

series20.0ms (0.1%)

Counts

3 → 78

Calls

33 calls:

Time	Variable		Point	Expression
11.0ms	n1_i	@	inf	(.f32 n1_i (.f32 u normAngle))
2.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (*.f32 u normAngle))))
1.0ms	normAngle	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (*.f32 u normAngle))))
1.0ms	normAngle	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (*.f32 u normAngle))))
1.0ms	u	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (*.f32 u normAngle))))

rewrite90.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`rational.json-simplify-35`
1212×	`rational.json-1`
1212×	`rational.json-2`
1212×	`rational.json-4`
1212×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	103
1	128	97
2	284	97
3	620	85
4	1338	85
5	3946	85

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs

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

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

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

Outputs

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(sin.f32 normAngle))))))))

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

simplify182.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1246×	`rational.json-simplify-2`
1036×	`rational.json-simplify-41`
820×	`rational.json-simplify-39`
766×	`rational.json-simplify-50`
750×	`rational.json-simplify-35`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	8242
1	1032	8088
2	3290	7810
3	5435	7810

Stop Event

1×	node limit

Counts

198 → 200

Calls

Call 1

Inputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (pow.f32 normAngle 2))) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/120 (+.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 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (pow.f32 normAngle 2))) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (+.f32 (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/6 (+.f32 (.f32 -1/36 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/120 (+.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 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (pow.f32 normAngle 2))) (*.f32 (-.f32 1 u) n0_i)))))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) (.f32 -1 (.f32 (-.f32 1 u) n0_i))) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) (.f32 -1 (.f32 (-.f32 1 u) n0_i))) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) (.f32 -1 (.f32 (-.f32 1 u) n0_i))) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) (.f32 -1 (.f32 (-.f32 1 u) n0_i))) normAngle) (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 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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle)))) u))
(/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (.f32 n1_i normAngle)) u) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (*.f32 n1_i normAngle)) u) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (*.f32 n1_i normAngle)) u) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (*.f32 n1_i normAngle)) u) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 n0_i normAngle) (.f32 -1 (*.f32 n1_i normAngle))) u) (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 n1_i normAngle))) u) (sin.f32 normAngle))) (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 n1_i normAngle))) u) (sin.f32 normAngle))) (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 n1_i normAngle))) u) (sin.f32 normAngle))) (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (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 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (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 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (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 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i 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 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i 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 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
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(/.f32 (neg.f32 (neg.f32 (neg.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 2))))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(/.f32 (neg.f32 (/.f32 1 (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))))))
(/.f32 (neg.f32 (neg.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle))))) (*.f32 (sin.f32 normAngle) -2))
(pow.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle))) 1)
(neg.f32 (/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) (neg.f32 (sin.f32 normAngle))))
(+.f32 (.f32 u (.f32 normAngle n1_i)) 0)
(+.f32 0 (.f32 u (.f32 normAngle n1_i)))
(+.f32 (.f32 u (.f32 normAngle (.f32 n1_i 1/2))) (.f32 u (.f32 normAngle (.f32 n1_i 1/2))))
(-.f32 (.f32 u (.f32 normAngle n1_i)) 0)
(/.f32 (.f32 u (.f32 normAngle n1_i)) 1)
(/.f32 (.f32 normAngle (.f32 u (+.f32 n1_i n1_i))) 2)
(/.f32 (.f32 n1_i (.f32 normAngle (*.f32 u 4))) 4)
(/.f32 (.f32 2 (.f32 n1_i (.f32 normAngle (.f32 u 4)))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 n1_i (.f32 normAngle (*.f32 u 4))))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 n1_i (.f32 normAngle (.f32 u 4))))) (.f32 2 (.f32 2 (.f32 n1_i (.f32 normAngle (.f32 u 4)))))) 32)
(pow.f32 (.f32 u (.f32 normAngle n1_i)) 1)
(-.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 0)
(-.f32 0 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)))
(.f32 1 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))))
(.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 1))
(.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 1)
(.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1/2))
(.f32 4 (/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4))
(.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) 2)) 1/2)
(.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 4) 1/4)
(.f32 1/2 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) 2)))
(.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)) -1)
(.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1/2) 2)
(.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) normAngle)
(/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1)
(/.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 2)) 2)
(/.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4) 4)
(/.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)) -1)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle))) -2)
(/.f32 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4))) (.f32 2 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4)))) 32)
(pow.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1)
(neg.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)))

Outputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 (+.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 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (pow.f32 normAngle 2) 1/6)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 1/6 (.f32 (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 1 (.f32 1/6 (pow.f32 normAngle 2))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/120 (+.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 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (pow.f32 normAngle 2))) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 n1_i u) (+.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (pow.f32 normAngle 2) 1/6))) (.f32 (+.f32 (.f32 -1/36 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (.f32 (pow.f32 normAngle 4) -1))))
(+.f32 (.f32 n1_i u) (+.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 1/6 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -7/360) (neg.f32 (pow.f32 normAngle 4)))))
(+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (+.f32 1 (.f32 1/6 (pow.f32 normAngle 2)))) (.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -7/360) (neg.f32 (pow.f32 normAngle 4))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (+.f32 (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/6 (+.f32 (.f32 -1/36 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/120 (+.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 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (pow.f32 normAngle 2))) (*.f32 (-.f32 1 u) n0_i)))))
(+.f32 (.f32 (+.f32 (.f32 -1/36 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))) (.f32 (pow.f32 normAngle 4) -1)) (+.f32 (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (pow.f32 normAngle 2) 1/6)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 (+.f32 (.f32 1/720 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (+.f32 (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/6 (+.f32 (.f32 -1/36 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/120 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))) (*.f32 (pow.f32 normAngle 6) -1))))
(+.f32 (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 1/6 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))) (+.f32 (.f32 (+.f32 (.f32 1/720 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (+.f32 (.f32 -1/5040 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (.f32 1/6 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -7/360)))) (neg.f32 (pow.f32 normAngle 6))) (.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) -7/360) (neg.f32 (pow.f32 normAngle 4)))))
(+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (+.f32 1 (.f32 1/6 (pow.f32 normAngle 2)))) (.f32 -1 (+.f32 (.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -7/360) (pow.f32 normAngle 4)) (.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -7/360)) (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) 1/840)) (pow.f32 normAngle 6)))))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) (.f32 -1 (.f32 (-.f32 1 u) n0_i))) normAngle) (sin.f32 normAngle)))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) (.f32 -1 (.f32 (-.f32 1 u) n0_i))) normAngle) (sin.f32 normAngle)))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) (.f32 -1 (.f32 (-.f32 1 u) n0_i))) normAngle) (sin.f32 normAngle)))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) (.f32 -1 (.f32 (-.f32 1 u) n0_i))) normAngle) (sin.f32 normAngle)))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i normAngle) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 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 normAngle (/.f32 n0_i (sin.f32 normAngle))) (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle)))))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle)))))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 u (*.f32 normAngle (+.f32 (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (/.f32 n0_i (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 normAngle (/.f32 n0_i (sin.f32 normAngle))) (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle)))))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle)))))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 u (*.f32 normAngle (+.f32 (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (/.f32 n0_i (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 normAngle (/.f32 n0_i (sin.f32 normAngle))) (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle)))))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle)))))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 u (*.f32 normAngle (+.f32 (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (/.f32 n0_i (sin.f32 normAngle)))))))
(/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (.f32 n1_i normAngle)) u) (sin.f32 normAngle))
(.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (*.f32 n0_i (neg.f32 normAngle))) (sin.f32 normAngle)))
(.f32 (+.f32 (.f32 n1_i normAngle) (*.f32 n0_i (neg.f32 normAngle))) (/.f32 u (sin.f32 normAngle)))
(.f32 (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (/.f32 u (sin.f32 normAngle)))
(.f32 u (/.f32 (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (*.f32 n1_i normAngle)) u) (sin.f32 normAngle)))
(+.f32 (.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))) (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 n0_i (neg.f32 normAngle))) (sin.f32 normAngle))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (+.f32 (.f32 n1_i normAngle) (.f32 n0_i (neg.f32 normAngle))) (/.f32 u (sin.f32 normAngle))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (*.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (/.f32 u (sin.f32 normAngle))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 u (/.f32 (*.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (*.f32 n1_i normAngle)) u) (sin.f32 normAngle)))
(+.f32 (.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))) (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 n0_i (neg.f32 normAngle))) (sin.f32 normAngle))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (+.f32 (.f32 n1_i normAngle) (.f32 n0_i (neg.f32 normAngle))) (/.f32 u (sin.f32 normAngle))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (*.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (/.f32 u (sin.f32 normAngle))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 u (/.f32 (*.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 (.f32 -1 (.f32 n0_i normAngle)) (*.f32 n1_i normAngle)) u) (sin.f32 normAngle)))
(+.f32 (.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))) (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 n0_i (neg.f32 normAngle))) (sin.f32 normAngle))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (+.f32 (.f32 n1_i normAngle) (.f32 n0_i (neg.f32 normAngle))) (/.f32 u (sin.f32 normAngle))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (*.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (/.f32 u (sin.f32 normAngle))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 u (/.f32 (*.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle))))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 n0_i normAngle) (.f32 -1 (*.f32 n1_i normAngle))) u) (sin.f32 normAngle)))
(.f32 -1 (.f32 u (/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 n1_i (neg.f32 normAngle))) (sin.f32 normAngle))))
(neg.f32 (.f32 u (/.f32 (+.f32 (.f32 n0_i normAngle) (*.f32 n1_i (neg.f32 normAngle))) (sin.f32 normAngle))))
(neg.f32 (.f32 u (/.f32 (.f32 normAngle (+.f32 n0_i (neg.f32 n1_i))) (sin.f32 normAngle))))
(neg.f32 (.f32 (.f32 normAngle (+.f32 n0_i (neg.f32 n1_i))) (/.f32 u (sin.f32 normAngle))))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 n1_i normAngle))) u) (sin.f32 normAngle))) (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))
(+.f32 (.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))) (.f32 -1 (.f32 u (/.f32 (+.f32 (.f32 n0_i normAngle) (*.f32 n1_i (neg.f32 normAngle))) (sin.f32 normAngle)))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (.f32 u (/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 n1_i (neg.f32 normAngle))) (sin.f32 normAngle)))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (.f32 u (/.f32 (*.f32 normAngle (+.f32 n0_i (neg.f32 n1_i))) (sin.f32 normAngle)))))
(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (neg.f32 (.f32 (*.f32 normAngle (+.f32 n0_i (neg.f32 n1_i))) (/.f32 u (sin.f32 normAngle)))))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 n0_i normAngle) (.f32 -1 (.f32 n1_i normAngle))) u) (sin.f32 normAngle))) (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)))
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(/.f32 (neg.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)))) (neg.f32 (*.f32 (sin.f32 normAngle) -2)))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (+.f32 (/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) (.f32 (sin.f32 normAngle) 4)) (/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) (.f32 (sin.f32 normAngle) 4))) 1/2)
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 2 (neg.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 2)))) (.f32 2 (neg.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 2))))) (.f32 2 (.f32 2 (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle))) 4))) (.f32 2 (.f32 2 (.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle))) 4)))) 32)
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)))) (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle))))) (.f32 2 (.f32 2 (*.f32 (sin.f32 normAngle) -2))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (+.f32 (neg.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4)) (neg.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4))) (.f32 2 (neg.f32 (.f32 (sin.f32 normAngle) 4))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (+.f32 (neg.f32 (neg.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 2)))) (neg.f32 (neg.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 2))))) (*.f32 (sin.f32 normAngle) 4))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (+.f32 (/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) (neg.f32 (sin.f32 normAngle))) (/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) (neg.f32 (sin.f32 normAngle)))) -2)
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (+.f32 (/.f32 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4)) (sin.f32 normAngle)) (/.f32 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4)) (sin.f32 normAngle))) 16)
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (+.f32 (neg.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)))) (neg.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle))))) (+.f32 (neg.f32 (.f32 (sin.f32 normAngle) -2)) (neg.f32 (.f32 (sin.f32 normAngle) -2))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 1/2)) (-.f32 0 (*.f32 (sin.f32 normAngle) 1/2)))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (/.f32 2 (sin.f32 normAngle))) (-.f32 0 (/.f32 (/.f32 2 normAngle) (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 2))))) (-.f32 0 (.f32 2 (neg.f32 (*.f32 (sin.f32 normAngle) 2)))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle))))) (-.f32 0 (.f32 2 (*.f32 (sin.f32 normAngle) -2))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4))) (*.f32 (sin.f32 normAngle) 4))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4))) (-.f32 0 (neg.f32 (*.f32 (sin.f32 normAngle) 4))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 2))))) (neg.f32 (*.f32 (sin.f32 normAngle) 2)))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (/.f32 1 (sin.f32 normAngle))) (-.f32 0 (/.f32 1 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle))))) (*.f32 (sin.f32 normAngle) -2))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(pow.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle))) 1)
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(neg.f32 (/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) (neg.f32 (sin.f32 normAngle))))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.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 (.f32 n1_i 1/2))) (.f32 u (.f32 normAngle (.f32 n1_i 1/2))))
(+.f32 (.f32 u (.f32 n1_i (.f32 1/2 normAngle))) (.f32 u (.f32 n1_i (.f32 1/2 normAngle))))
(.f32 (.f32 n1_i (*.f32 normAngle 1/2)) (+.f32 u u))
(.f32 u (.f32 (*.f32 n1_i 1/2) (+.f32 normAngle normAngle)))
(.f32 u (.f32 (*.f32 normAngle 1/2) (+.f32 n1_i n1_i)))
(-.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 normAngle (.f32 u (+.f32 n1_i n1_i))) 2)
(.f32 n1_i (.f32 u normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle (*.f32 u 4))) 4)
(.f32 (.f32 u (*.f32 4 normAngle)) (/.f32 n1_i 4))
(.f32 n1_i (/.f32 (.f32 u (*.f32 normAngle 4)) 4))
(/.f32 (.f32 2 (.f32 n1_i (.f32 normAngle (.f32 u 4)))) 8)
(.f32 (.f32 u (*.f32 4 normAngle)) (/.f32 n1_i 4))
(.f32 n1_i (/.f32 (.f32 u (*.f32 normAngle 4)) 4))
(/.f32 (.f32 2 (.f32 2 (.f32 n1_i (.f32 normAngle (*.f32 u 4))))) 16)
(.f32 (.f32 u (*.f32 4 normAngle)) (/.f32 n1_i 4))
(.f32 n1_i (/.f32 (.f32 u (*.f32 normAngle 4)) 4))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 n1_i (.f32 normAngle (.f32 u 4))))) (.f32 2 (.f32 2 (.f32 n1_i (.f32 normAngle (.f32 u 4)))))) 32)
(.f32 (.f32 u (*.f32 4 normAngle)) (/.f32 n1_i 4))
(.f32 n1_i (/.f32 (.f32 u (*.f32 normAngle 4)) 4))
(pow.f32 (.f32 u (.f32 normAngle n1_i)) 1)
(.f32 n1_i (.f32 u normAngle))
(-.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 0)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(-.f32 0 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)))
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 1 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))))
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 1))
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 1)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1/2))
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 4 (/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4))
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) 2)) 1/2)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 4) 1/4)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 1/2 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) 2)))
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)) -1)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1/2) 2)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) normAngle)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(/.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(/.f32 (.f32 normAngle (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) 2)) 2)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(/.f32 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4) 4)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(/.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)) -1)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle))) -2)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(/.f32 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 4)) 8)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4))) 16)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4))) (.f32 2 (.f32 2 (.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))) 4)))) 32)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(pow.f32 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i))) 1)
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(neg.f32 (.f32 (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)) (neg.f32 normAngle)))
(.f32 normAngle (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))

eval325.0ms (1.2%)

Compiler: Compiled 12795 to 6795 computations (46.9% saved)

prune137.0ms (0.5%)

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	614	12	626
Fresh	3	12	15
Picked	1	0	1
Done	3	2	5
Total	621	26	647

Error

0.0b

Counts

647 → 26

Alt Table

Click to see full alt table

Status	Error	Program
	17.5b	(/.f32 (/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 n0_i)) (sin.f32 normAngle))
	12.0b	(/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))))
	9.0b	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	17.5b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	21.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
▶	8.3b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
	0.4b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	0.3b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
▶	0.3b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (pow.f32 normAngle 2))))
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	4.9b	(+.f32 (*.f32 n1_i u) n0_i)
	3.8b	(+.f32 (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (*.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (/.f32 u (sin.f32 normAngle))))
	0.4b	(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
	5.5b	(+.f32 n0_i (/.f32 n1_i (/.f32 normAngle (sin.f32 (*.f32 normAngle u)))))
▶	8.6b	(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 n1_i (*.f32 u normAngle))))
	6.9b	(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
▶	0.2b	(+.f32 n0_i (.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))))
	12.9b	(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
	9.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) normAngle))
▶	12.9b	(*.f32 (-.f32 1 u) n0_i)
	0.4b	(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
	19.7b	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
	13.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 normAngle 1/6))))
	20.2b	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
✓	19.6b	(*.f32 u n1_i)
	16.1b	n0_i

Compiler

Compiled 777 to 534 computations (31.3% saved)

localize273.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 n0_i (.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))))
✓	0.1b	(*.f32 n1_i (pow.f32 normAngle 2))
✓	0.1b	(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
✓	0.1b	(.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2))))))

Compiler

Compiled 78 to 47 computations (39.7% saved)

series12.0ms (0%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
4.0ms	n1_i	@	0	(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
1.0ms	u	@	0	(.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2))))))
1.0ms	n1_i	@	inf	(.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2))))))
0.0ms	normAngle	@	inf	(.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2))))))
0.0ms	n1_i	@	-inf	(.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2))))))

rewrite201.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`exponential.json-3`
1456×	`rational.json-1`
1456×	`rational.json-2`
1456×	`rational.json-4`
1456×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	120
1	118	120
2	247	120
3	528	120
4	1159	120
5	2592	120
6	4129	120
7	5644	120
8	6984	120
9	7186	120
10	7663	120

Stop Event

1×	node limit

Counts

4 → 56

Calls

Call 1

Inputs
(.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2))))))
(.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))
(*.f32 n1_i (pow.f32 normAngle 2))
(+.f32 n0_i (.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 1/2)) (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (.f32 2 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/12)) (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (.f32 (.f32 n1_i 1/6) 1/2) (pow.f32 normAngle 2)) (.f32 (.f32 (.f32 n1_i 1/6) 1/2) (pow.f32 normAngle 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 2/3)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 2/3))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 2/3)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 2/3))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n1_i (pow.f32 normAngle 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 n1_i (pow.f32 normAngle 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/2)) (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 n1_i (pow.f32 normAngle 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n1_i (pow.f32 normAngle 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n1_i (.f32 2 (pow.f32 normAngle 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2)))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 n1_i (pow.f32 normAngle 2)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1)))))

simplify370.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

2266×	`rational.json-simplify-2`
1872×	`rational.json-simplify-35`
1578×	`rational.json-simplify-53`
1308×	`rational.json-simplify-1`
1184×	`rational.json-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	176	5532
1	429	5482
2	942	5374
3	2337	5318
4	4863	5318
5	5662	5310
6	5992	5310
7	6276	5310
8	6640	5310
9	6875	5310

Stop Event

1×	node limit

Counts

152 → 133

Calls

Call 1

Inputs
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 -1 (*.f32 n0_i u)))
(.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))
(+.f32 (.f32 -1 (.f32 u n0_i)) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
(.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u))))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u))))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u))))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_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 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_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 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 (.f32 (+.f32 1 (.f32 -1 u)) n0_i) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
n0_i
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 (.f32 -1 (*.f32 u n0_i)) n0_i))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 (.f32 -1 (*.f32 u n0_i)) n0_i))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 (.f32 -1 (*.f32 u n0_i)) n0_i))
(.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 n0_i (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 n0_i (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 n0_i (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)))))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_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 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_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 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 n0_i (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))) 0)
(+.f32 0 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))
(+.f32 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 1/2)) (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 1/2)))
(-.f32 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))) 0)
(/.f32 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))) 1)
(/.f32 (.f32 u (.f32 2 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 2)
(/.f32 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4)) 4)
(/.f32 (.f32 2 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4)))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4))))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 u (.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)) 4)))))) 64)
(pow.f32 (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))) 1)
(+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) 0)
(+.f32 0 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)))
(+.f32 (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/12)) (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/12)))
(+.f32 (.f32 (.f32 (.f32 n1_i 1/6) 1/2) (pow.f32 normAngle 2)) (.f32 (.f32 (.f32 n1_i 1/6) 1/2) (pow.f32 normAngle 2)))
(-.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) 0)
(/.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) 1)
(/.f32 (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/3)) 2)
(/.f32 (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 2/3) 4)
(/.f32 (.f32 2 (.f32 (*.f32 n1_i (pow.f32 normAngle 2)) 2/3)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 2/3))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 n1_i (pow.f32 normAngle 2)) 2/3)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 n1_i (pow.f32 normAngle 2)) 2/3))))) 64)
(pow.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) 1)
(+.f32 (*.f32 n1_i (pow.f32 normAngle 2)) 0)
(+.f32 0 (*.f32 n1_i (pow.f32 normAngle 2)))
(+.f32 (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/2)) (.f32 n1_i (.f32 (pow.f32 normAngle 2) 1/2)))
(-.f32 (*.f32 n1_i (pow.f32 normAngle 2)) 0)
(/.f32 (*.f32 n1_i (pow.f32 normAngle 2)) 1)
(/.f32 (.f32 n1_i (.f32 2 (pow.f32 normAngle 2))) 2)
(/.f32 (*.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2)) 4)
(/.f32 (.f32 2 (.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2))) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2)))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2))))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 n1_i (pow.f32 (+.f32 normAngle normAngle) 2)))))) 64)
(pow.f32 (*.f32 n1_i (pow.f32 normAngle 2)) 1)
(-.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 0)
(.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1/2))
(.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1)
(.f32 1 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))))
(.f32 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))) 1/2)
(.f32 4 (/.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))
(.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4) 1/4)
(.f32 1/2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))))
(.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1/2) 2)
(.f32 1/4 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))
(.f32 (/.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4) 4)
(/.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1)
(/.f32 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))) 2)
(/.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4)))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))))) 64)
(pow.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1)

Outputs
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u)
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 (+.f32 n1_i (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))) u)
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(+.f32 (.f32 -1 (.f32 n0_i u)) (.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
(.f32 -1 (.f32 n0_i u))
(*.f32 u (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))) u) (.f32 -1 (*.f32 n0_i u)))
(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2)))))
(.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)))
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(.f32 n0_i (+.f32 1 (.f32 u -1)))
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(*.f32 n0_i (-.f32 1 u))
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n0_i
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(.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u)
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(.f32 u (.f32 n1_i (+.f32 (*.f32 1/6 (pow.f32 normAngle 2)) 1)))
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(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4) 1/4)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(.f32 1/2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))))
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1/2) 2)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(.f32 1/4 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(.f32 (/.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4) 4)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(/.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(/.f32 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i))))) 2)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(/.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4) 4)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(/.f32 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4)) 8)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))) 16)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4)))) 32)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 4))))) 64)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))
(pow.f32 (+.f32 n0_i (.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 n1_i 1/6)) (+.f32 (neg.f32 n0_i) n1_i)))) 1)
(+.f32 n0_i (.f32 (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) u))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))))))
(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (*.f32 1/6 (pow.f32 normAngle 2))) (-.f32 n1_i n0_i))))

localize16.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize79.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f32 u normAngle)
✓	0.0b	(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 n1_i (*.f32 u normAngle))))
	0.1b	(.f32 n1_i (.f32 u normAngle))
✓	11.7b	(.f32 (/.f32 1 normAngle) (.f32 n1_i (*.f32 u normAngle)))

Compiler

Compiled 40 to 16 computations (60% saved)

series1.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite73.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`rational.json-1`
1468×	`rational.json-2`
1468×	`rational.json-4`
1468×	`rational.json-3`
1456×	`exponential.json-3`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	95	44
2	227	44
3	508	44
4	1258	20
5	4522	20

Stop Event

1×	node limit

Counts

2 → 95

Calls

Call 1

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

Outputs

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

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

simplify155.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1472×	`rational.json-simplify-2`
930×	`rational.json-simplify-44`
860×	`rational.json-simplify-47`
832×	`rational.json-simplify-35`
718×	`rational.json-simplify-53`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	210	1593
1	724	1581
2	4157	1581
3	7401	1581

Stop Event

1×	node limit

Counts

179 → 100

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

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f32 u normAngle)
✓	0.0b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
	0.1b	(.f32 n1_i (.f32 u normAngle))
✓	11.6b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))

Compiler

Compiled 36 to 9 computations (75% saved)

series20.0ms (0.1%)

Counts

2 → 19

Calls

21 calls:

Time	Variable		Point	Expression
14.0ms	u	@	-inf	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
1.0ms	n1_i	@	-inf	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
1.0ms	normAngle	@	-inf	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
1.0ms	normAngle	@	inf	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
0.0ms	normAngle	@	0	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))

rewrite81.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`rational.json-1`
1538×	`rational.json-2`
1538×	`rational.json-4`
1538×	`rational.json-3`
1524×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	88	52
2	235	52
3	645	52
4	2124	52
5	5506	52

Stop Event

1×	node limit

Counts

2 → 80

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)

Outputs

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

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

simplify122.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1142×	`rational.json-simplify-51`
1116×	`rational.json-simplify-43`
1050×	`rational.json-simplify-61`
910×	`rational.json-simplify-1`
900×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	198	2901
1	474	2697
2	1179	2669
3	2893	2633
4	5524	2633
5	7429	2633

Stop Event

1×	node limit

Counts

99 → 124

Calls

Call 1

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

Outputs
(*.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 n1_i (+.f32 u (.f32 u (*.f32 (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 n1_i (+.f32 u (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)))) (.f32 (pow.f32 normAngle 4) (.f32 (.f32 n1_i u) 7/360)))
(+.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 -1 (.f32 (pow.f32 normAngle 6) (+.f32 (.f32 1/6 (+.f32 (.f32 n1_i (.f32 u 1/120)) (.f32 n1_i (.f32 u -1/36)))) (+.f32 (.f32 (.f32 n1_i u) -1/5040) (.f32 n1_i (.f32 u 1/720))))))) (.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 (pow.f32 normAngle 4) (.f32 (.f32 n1_i u) 7/360)) (+.f32 (.f32 n1_i (+.f32 u (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)))) (.f32 (+.f32 (.f32 (.f32 n1_i u) -7/2160) (.f32 (*.f32 n1_i u) 1/840)) (neg.f32 (pow.f32 normAngle 6)))))
(+.f32 (.f32 n1_i (+.f32 u (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)))) (+.f32 (.f32 (pow.f32 normAngle 4) (.f32 (.f32 n1_i u) 7/360)) (.f32 (pow.f32 normAngle 6) (neg.f32 (.f32 (*.f32 n1_i u) -31/15120)))))
(+.f32 (+.f32 (.f32 n1_i (+.f32 u (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)))) (.f32 (pow.f32 normAngle 4) (.f32 (.f32 n1_i u) 7/360))) (.f32 (pow.f32 normAngle 6) (neg.f32 (.f32 (*.f32 n1_i u) -31/15120))))
n0_i
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (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 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
n0_i
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (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 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 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 (.f32 (.f32 u (pow.f32 normAngle 2)) 1/6)) (+.f32 (.f32 n1_i u) n0_i))
(+.f32 n0_i (.f32 n1_i (+.f32 u (.f32 1/6 (*.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i (+.f32 u (.f32 u (*.f32 (pow.f32 normAngle 2) 1/6)))) 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 (+.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 (.f32 u (pow.f32 normAngle 2)) 1/6)) (+.f32 (.f32 n1_i u) n0_i)))
(+.f32 (.f32 (.f32 (.f32 n1_i u) -7/360) (neg.f32 (pow.f32 normAngle 4))) (+.f32 n0_i (.f32 n1_i (+.f32 u (.f32 1/6 (.f32 u (pow.f32 normAngle 2)))))))
(+.f32 (.f32 (pow.f32 normAngle 4) (.f32 (.f32 n1_i u) 7/360)) (+.f32 (.f32 n1_i (+.f32 u (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)))) n0_i))
(+.f32 (.f32 n1_i (+.f32 u (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)))) (+.f32 (.f32 (pow.f32 normAngle 4) (.f32 (.f32 n1_i u) 7/360)) 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 (.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 (.f32 u (pow.f32 normAngle 2)) 1/6)) (+.f32 (.f32 n1_i u) n0_i))) (.f32 -1 (.f32 (pow.f32 normAngle 6) (+.f32 (.f32 1/6 (+.f32 (.f32 n1_i (.f32 u 1/120)) (.f32 n1_i (.f32 u -1/36)))) (+.f32 (.f32 (.f32 n1_i u) -1/5040) (.f32 n1_i (*.f32 u 1/720)))))))
(+.f32 (.f32 (.f32 (.f32 n1_i u) -7/360) (neg.f32 (pow.f32 normAngle 4))) (+.f32 (+.f32 n0_i (.f32 n1_i (+.f32 u (.f32 1/6 (.f32 u (pow.f32 normAngle 2)))))) (.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 (pow.f32 normAngle 4) (.f32 (.f32 n1_i u) 7/360)) (+.f32 n0_i (+.f32 (.f32 n1_i (+.f32 u (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)))) (.f32 (+.f32 (.f32 (.f32 n1_i u) -7/2160) (.f32 (*.f32 n1_i u) 1/840)) (neg.f32 (pow.f32 normAngle 6))))))
(+.f32 (.f32 n1_i (+.f32 u (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)))) (+.f32 n0_i (+.f32 (.f32 (pow.f32 normAngle 4) (.f32 (.f32 n1_i u) 7/360)) (.f32 (pow.f32 normAngle 6) (neg.f32 (.f32 (*.f32 n1_i u) -31/15120))))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (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 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (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 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
n0_i
n0_i
(+.f32 (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) 0)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(+.f32 0 (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 (sin.f32 normAngle) 2)) (/.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 (sin.f32 normAngle) 2)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(-.f32 (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) 0)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(-.f32 0 (/.f32 (.f32 n1_i (.f32 u normAngle)) (neg.f32 (sin.f32 normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (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 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 normAngle (.f32 n1_i (/.f32 u (sin.f32 normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i (*.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) 1)
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 1 (.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i (*.f32 u (+.f32 normAngle normAngle))) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (*.f32 (+.f32 normAngle normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 normAngle (.f32 (*.f32 u (/.f32 1/2 (sin.f32 normAngle))) (+.f32 n1_i n1_i)))
(.f32 n1_i (.f32 2 (.f32 (.f32 u normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 normAngle (*.f32 (+.f32 u u) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 (.f32 n1_i (.f32 u (+.f32 normAngle normAngle))) (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (.f32 u normAngle))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 2 (/.f32 (.f32 n1_i (.f32 u normAngle)) (.f32 (sin.f32 normAngle) 2)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 2 (/.f32 (.f32 (*.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) 2))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 2 (.f32 (.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))) (.f32 u normAngle)))
(.f32 (.f32 n1_i (*.f32 u (+.f32 normAngle normAngle))) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (*.f32 (+.f32 normAngle normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 normAngle (.f32 (*.f32 u (/.f32 1/2 (sin.f32 normAngle))) (+.f32 n1_i n1_i)))
(.f32 n1_i (.f32 2 (.f32 (.f32 u normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 normAngle (*.f32 (+.f32 u u) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 2 (.f32 (.f32 (.f32 u normAngle) (/.f32 1/2 (sin.f32 normAngle))) n1_i))
(.f32 (.f32 n1_i (*.f32 u (+.f32 normAngle normAngle))) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (*.f32 (+.f32 normAngle normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 normAngle (.f32 (*.f32 u (/.f32 1/2 (sin.f32 normAngle))) (+.f32 n1_i n1_i)))
(.f32 n1_i (.f32 2 (.f32 (.f32 u normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 normAngle (*.f32 (+.f32 u u) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 2 (.f32 (*.f32 normAngle (/.f32 u 2)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 2 (.f32 (/.f32 1/2 (sin.f32 normAngle)) (.f32 n1_i (.f32 u normAngle))))
(.f32 (.f32 n1_i (*.f32 u (+.f32 normAngle normAngle))) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (*.f32 (+.f32 normAngle normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 normAngle (.f32 (*.f32 u (/.f32 1/2 (sin.f32 normAngle))) (+.f32 n1_i n1_i)))
(.f32 n1_i (.f32 2 (.f32 (.f32 u normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 normAngle (*.f32 (+.f32 u u) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 (+.f32 normAngle normAngle) (.f32 (/.f32 u (*.f32 (sin.f32 normAngle) 2)) n1_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (+.f32 normAngle normAngle) (.f32 (/.f32 u 2) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 u (+.f32 normAngle normAngle)) (*.f32 n1_i (/.f32 1/2 (sin.f32 normAngle))))
(.f32 (.f32 n1_i (*.f32 u (+.f32 normAngle normAngle))) (/.f32 1/2 (sin.f32 normAngle)))
(.f32 n1_i (.f32 u (*.f32 (+.f32 normAngle normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 normAngle (.f32 (*.f32 u (/.f32 1/2 (sin.f32 normAngle))) (+.f32 n1_i n1_i)))
(.f32 n1_i (.f32 2 (.f32 (.f32 u normAngle) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 n1_i (.f32 normAngle (*.f32 (+.f32 u u) (/.f32 1/2 (sin.f32 normAngle)))))
(.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i 1/2)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (.f32 u (+.f32 normAngle normAngle)) (*.f32 1/2 (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
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(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) 4)) 8)
(+.f32 n0_i (.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) 4)) (.f32 2 (.f32 (+.f32 (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) 4))) 16)
(+.f32 n0_i (.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(pow.f32 (+.f32 (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))) n0_i) 1)
(+.f32 n0_i (.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle))))
(+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))

localize229.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f32 (-.f32 1 u) n0_i)
✓	0.2b	(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)
✓	0.2b	(-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))))
✓	0.3b	(*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))

Compiler

Compiled 127 to 69 computations (45.7% saved)

series5.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)
0.0ms	n0_i	@	-inf	(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)
0.0ms	u	@	inf	(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)
0.0ms	u	@	-inf	(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)
0.0ms	n1_i	@	0	(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)

rewrite127.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`rational.json-simplify-35`
1678×	`rational.json-1`
1678×	`rational.json-2`
1142×	`rational.json-3`
1136×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	94	81
2	187	81
3	390	81
4	783	81
5	1920	81
6	3867	81
7	5587	81
8	7613	81

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

Inputs
(*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))
(-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))))
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3)))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 n0_i 1/2) (neg.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 n0_i 1/2) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (*.f32 n0_i 1/2) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (-.f32 -1 (+.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (*.f32 n0_i -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (+.f32 (*.f32 n0_i 1/2) (-.f32 1 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (-.f32 2 (+.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (*.f32 n0_i -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) (*.f32 n0_i 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (*.f32 n0_i 1/2) (-.f32 1 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (*.f32 n0_i 1/4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12)) (-.f32 (*.f32 n0_i 1/4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 n0_i 1/2) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 (*.f32 n0_i 1/2) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (+.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (*.f32 n0_i -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (-.f32 (*.f32 n0_i 1/4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (*.f32 n0_i -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (-.f32 (/.f32 n0_i 8) (/.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (+.f32 n0_i n0_i) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 n0_i 1/4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (-.f32 (+.f32 n0_i n0_i) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 n0_i 1/2) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (*.f32 n0_i -1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 n0_i n0_i) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3) n0_i) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3) (+.f32 n0_i n0_i)) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (-.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3) (+.f32 n0_i n0_i))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (-.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3) (+.f32 n0_i n0_i)))) -16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4)))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (*.f32 n0_i 1/2) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (*.f32 n0_i -1/2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/2 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 1/2 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (-.f32 (*.f32 n0_i 1/4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12))) (*.f32 u (-.f32 (*.f32 n0_i 1/4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 1/2 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/2 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3) n0_i) (*.f32 -2 u)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4)))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/2 (*.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))) 1)))))

simplify213.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2360×	`rational.json-simplify-2`
1896×	`rational.json-simplify-35`
924×	`rational.json-simplify-1`
830×	`rational.json-simplify-43`
816×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	162	3759
1	357	3655
2	666	3547
3	1662	3523
4	4025	3523
5	5343	3523
6	6051	3523
7	6748	3523
8	7073	3523
9	7778	3523

Stop Event

1×	node limit

Counts

147 → 99

Calls

Call 1

Inputs
(*.f32 1/6 n0_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 -1/6 n1_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 -1/6 n1_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 -1/6 n1_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 1/6 n0_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 1/6 n0_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(*.f32 1/3 n0_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(*.f32 1/6 n1_i)
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(*.f32 1/6 n1_i)
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(.f32 1/6 (.f32 n1_i u))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(.f32 1/3 (.f32 n0_i u))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(.f32 1/3 (.f32 n0_i u))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 1/6 n0_i)) u)
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(.f32 1/6 (.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(.f32 1/6 (.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 -1/6 (-.f32 n1_i n0_i))) u)
(+.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 0)
(+.f32 0 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12))
(-.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 0)
(/.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 1)
(/.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3) 2)
(/.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3) 4)
(/.f32 (.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3) 8)
(/.f32 (.f32 2 (.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3)))) 64)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) -2/3))))) 128)
(pow.f32 (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 1)
(+.f32 (.f32 n0_i 1/2) (neg.f32 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))))
(+.f32 (-.f32 (.f32 n0_i 1/2) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) 0)
(+.f32 0 (-.f32 (.f32 n0_i 1/2) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))))
(+.f32 1 (-.f32 -1 (+.f32 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (.f32 n0_i -1/2))))
(+.f32 -1 (+.f32 (.f32 n0_i 1/2) (-.f32 1 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 -2 (-.f32 2 (+.f32 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (.f32 n0_i -1/2))))
(+.f32 (neg.f32 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) (.f32 n0_i 1/2))
(+.f32 (+.f32 (.f32 n0_i 1/2) (-.f32 1 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))))) -1)
(+.f32 (-.f32 (.f32 n0_i 1/4) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12)) (-.f32 (.f32 n0_i 1/4) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12)))
(.f32 1/2 (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))
(.f32 (-.f32 (.f32 n0_i 1/2) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) 1)
(.f32 1 (-.f32 (.f32 n0_i 1/2) (*.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))))
(.f32 -1 (+.f32 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (*.f32 n0_i -1/2)))
(.f32 2 (-.f32 (.f32 n0_i 1/4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12)))
(.f32 (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 1/2)
(.f32 (+.f32 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (*.f32 n0_i -1/2)) -1)
(.f32 4 (/.f32 (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 8))
(.f32 4 (-.f32 (/.f32 n0_i 8) (/.f32 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) 4)))
(.f32 (-.f32 (+.f32 n0_i n0_i) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3)) 1/4)
(.f32 (-.f32 (.f32 n0_i 1/4) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12)) 2)
(.f32 1/4 (-.f32 (+.f32 n0_i n0_i) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3)))
(.f32 (/.f32 (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 8) 4)
(/.f32 (-.f32 (.f32 n0_i 1/2) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) 1)
(/.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 2)
(/.f32 (+.f32 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (.f32 n0_i -1/2)) -1)
(/.f32 (-.f32 (+.f32 n0_i n0_i) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3)) 4)
(/.f32 (-.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3) n0_i) -2)
(/.f32 (.f32 (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4) 8)
(/.f32 (-.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3) (+.f32 n0_i n0_i)) -4)
(/.f32 (.f32 2 (.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4)) 16)
(/.f32 (.f32 2 (-.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3) (+.f32 n0_i n0_i))) -8)
(/.f32 (.f32 2 (.f32 2 (.f32 (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4))) 32)
(/.f32 (.f32 2 (.f32 2 (-.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -2/3) (+.f32 n0_i n0_i)))) -16)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4)))) 64)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)) 4))))) 128)
(pow.f32 (-.f32 (.f32 n0_i 1/2) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) 1)
(neg.f32 (+.f32 (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i))) (.f32 n0_i -1/2)))
(+.f32 (.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))) 0)
(+.f32 0 (.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))))
(+.f32 (.f32 u (-.f32 (.f32 n0_i 1/4) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12))) (.f32 u (-.f32 (.f32 n0_i 1/4) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/12))))
(-.f32 (.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))) 0)
(/.f32 (.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))) 1)
(/.f32 (.f32 u (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 2)
(/.f32 (.f32 (-.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3) n0_i) (*.f32 -2 u)) 4)
(/.f32 (.f32 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4) 8)
(/.f32 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4)))) 64)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4))))) 128)
(pow.f32 (.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))) 1)

Outputs
(*.f32 1/6 n0_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 -1/6 n1_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 -1/6 n1_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 -1/6 n1_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 1/6 n0_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 1/6 n0_i)
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(+.f32 (.f32 1/6 n0_i) (.f32 -1/6 n1_i))
(*.f32 1/6 n1_i)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(*.f32 1/3 n0_i)
(*.f32 n0_i 1/3)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(*.f32 1/3 n0_i)
(*.f32 n0_i 1/3)
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(+.f32 (.f32 1/3 n0_i) (.f32 1/6 n1_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i))
(*.f32 n0_i 1/3)
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(*.f32 1/6 n1_i)
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(*.f32 1/6 n1_i)
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(-.f32 (+.f32 (.f32 1/2 n0_i) (.f32 1/6 n1_i)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (.f32 n0_i 1/3))
(.f32 1/6 (.f32 n1_i u))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(.f32 1/3 (.f32 n0_i u))
(.f32 n0_i (.f32 u 1/3))
(.f32 n0_i (.f32 1/3 u))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(.f32 1/3 (.f32 n0_i u))
(.f32 n0_i (.f32 u 1/3))
(.f32 n0_i (.f32 1/3 u))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(+.f32 (.f32 1/3 (.f32 n0_i u)) (.f32 1/6 (.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 1/6 n0_i)) u)
(.f32 n0_i (.f32 u 1/3))
(.f32 n0_i (.f32 1/3 u))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) u) (.f32 1/6 (*.f32 n1_i u)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 u 1/3)))
(+.f32 (.f32 1/6 (.f32 n1_i u)) (.f32 n0_i (.f32 1/3 u)))
(.f32 u (+.f32 (.f32 1/6 n1_i) (*.f32 n0_i 1/3)))
(.f32 1/6 (.f32 n1_i u))
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(/.f32 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4)) 16)
(.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4))) 32)
(.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4)))) 64)
(.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 u (-.f32 n0_i (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))) 4))))) 128)
(.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))))
(pow.f32 (.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3)))) 1)
(.f32 1/2 (.f32 u (-.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/3))))

eval299.0ms (1.1%)

Compiler: Compiled 11526 to 6120 computations (46.9% saved)

prune930.0ms (3.5%)

Pruning

32 alts after pruning (27 fresh and 5 done)

	Pruned	Kept	Total
New	626	12	638
Fresh	4	15	19
Picked	1	0	1
Done	1	5	6
Total	632	32	664

Error

Counts

664 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	9.0b	(/.f32 (+.f32 (.f32 normAngle (.f32 (-.f32 1 u) n0_i)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
	17.5b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	21.9b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
✓	8.3b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
	0.2b	(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
	0.4b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	0.3b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
	7.0b	(+.f32 (.f32 (.f32 n1_i normAngle) (.f32 (/.f32 1/4 (sin.f32 normAngle)) (.f32 u 4))) n0_i)
	0.2b	(+.f32 (.f32 n1_i u) (+.f32 (+.f32 n0_i (.f32 n0_i (neg.f32 u))) (.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (pow.f32 normAngle 2))))
	0.3b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 n1_i)) u) (pow.f32 normAngle 2))))
	0.4b	(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (*.f32 n0_i 1/3) u) (pow.f32 normAngle 2))))
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	4.9b	(+.f32 (*.f32 n1_i u) n0_i)
	0.4b	(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
	5.0b	(+.f32 n0_i (/.f32 (/.f32 (*.f32 n1_i u) normAngle) (/.f32 1 normAngle)))
	5.6b	(+.f32 n0_i (/.f32 (*.f32 normAngle u) (/.f32 normAngle n1_i)))
	7.2b	(+.f32 n0_i (/.f32 (*.f32 normAngle n1_i) (/.f32 normAngle u)))
	5.0b	(+.f32 n0_i (/.f32 u (/.f32 1 n1_i)))
	5.5b	(+.f32 n0_i (/.f32 n1_i (/.f32 normAngle (sin.f32 (*.f32 normAngle u)))))
	5.0b	(+.f32 n0_i (/.f32 n1_i (/.f32 1 u)))
	15.6b	(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 n1_i (+.f32 (-.f32 (*.f32 normAngle u) -1) -1))))
✓	8.6b	(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 n1_i (*.f32 u normAngle))))
	12.9b	(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
	9.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) normAngle))
✓	12.9b	(*.f32 (-.f32 1 u) n0_i)
	0.4b	(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
	19.7b	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
	19.4b	(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
	13.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 normAngle 1/6))))
	20.2b	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
✓	19.6b	(*.f32 u n1_i)
	16.1b	n0_i

Compiler

Compiled 488 to 336 computations (31.1% saved)

regimes632.0ms (2.4%)

Counts

61 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 n0_i (/.f32 n1_i (/.f32 1 u)))
(+.f32 n0_i (/.f32 u (/.f32 1 n1_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 normAngle n1_i) (/.f32 normAngle u)))
(+.f32 n0_i (/.f32 (*.f32 normAngle u) (/.f32 normAngle n1_i)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 n1_i (*.f32 u normAngle))))
(+.f32 n0_i (/.f32 (/.f32 (*.f32 n1_i u) normAngle) (/.f32 1 normAngle)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 n1_i (+.f32 (-.f32 (*.f32 normAngle u) -1) -1))))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 n1_i (/.f32 normAngle (sin.f32 (*.f32 normAngle u)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(+.f32 (.f32 (.f32 n1_i normAngle) (.f32 (/.f32 1/4 (sin.f32 normAngle)) (.f32 u 4))) n0_i)
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 normAngle 1/6))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i)) normAngle))
(+.f32 n0_i (.f32 u (+.f32 (neg.f32 n0_i) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 n0_i normAngle) (.f32 u (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (*.f32 u normAngle))))
(/.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (.f32 normAngle (+.f32 (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (*.f32 n0_i 1/3) u) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 n1_i)) u) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (+.f32 n0_i (.f32 n0_i (neg.f32 u))) (.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (neg.f32 n0_i)))) u) (pow.f32 normAngle 2))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/.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 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 1 n0_i)) (sin.f32 normAngle))
(+.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 1 (sin.f32 normAngle)) (.f32 (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 n0_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (*.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (/.f32 u (sin.f32 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 (-.f32 1 u) n0_i) (.f32 n1_i (+.f32 u (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (pow.f32 normAngle 2))))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (*.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u)) (pow.f32 normAngle 2))))
(.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 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 n1_i u) (+.f32 (.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 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle (-.f32 1 u))))) (.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 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (/.f32 1 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 4 (/.f32 4 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))) n1_i))

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

Calls

5 calls:

288.0ms	n0_i
185.0ms	n1_i
82.0ms	u
32.0ms	(+.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))
27.0ms	normAngle

Results

Error	Segments	Branch
0.2b	1	`normAngle`
0.2b	1	`u`
0.2b	1	`n0_i`
0.2b	1	`n1_i`
0.2b	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 953 to 472 computations (50.5% saved)

regimes129.0ms (0.5%)

Counts

26 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 n0_i (/.f32 n1_i (/.f32 1 u)))
(+.f32 n0_i (/.f32 u (/.f32 1 n1_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 normAngle n1_i) (/.f32 normAngle u)))
(+.f32 n0_i (/.f32 (*.f32 normAngle u) (/.f32 normAngle n1_i)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 n1_i (*.f32 u normAngle))))
(+.f32 n0_i (/.f32 (/.f32 (*.f32 n1_i u) normAngle) (/.f32 1 normAngle)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 n1_i (+.f32 (-.f32 (*.f32 normAngle u) -1) -1))))
(.f32 (.f32 n1_i u) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 n0_i (/.f32 n1_i (/.f32 normAngle (sin.f32 (*.f32 normAngle u)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (.f32 (/.f32 1 normAngle) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) (/.f32 normAngle (sin.f32 normAngle)))
(+.f32 (.f32 (.f32 n1_i normAngle) (.f32 (/.f32 1/4 (sin.f32 normAngle)) (.f32 u 4))) n0_i)

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

Calls

4 calls:

84.0ms	n0_i
15.0ms	u
13.0ms	normAngle
13.0ms	n1_i

Results

Error	Segments	Branch
0.4b	1	`normAngle`
0.4b	1	`u`
0.4b	1	`n0_i`
0.4b	1	`n1_i`

Compiler

Compiled 250 to 113 computations (54.8% saved)

regimes94.0ms (0.4%)

Counts

8 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 n0_i (/.f32 n1_i (/.f32 1 u)))
(+.f32 n0_i (/.f32 u (/.f32 1 n1_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:

75.0ms	n1_i
6.0ms	u
6.0ms	n0_i
5.0ms	normAngle

Results

Error	Segments	Branch
4.9b	1	`normAngle`
4.9b	1	`u`
4.9b	1	`n0_i`
3.5b	3	`n1_i`

Compiler

Compiled 64 to 39 computations (39.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	4.281536364000033e-30	5.3303259654985995e-30
0.0ms	-1.571469952953051e-27	-3.135254578759522e-28

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes27.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

12.0ms	n1_i
5.0ms	normAngle
4.0ms	n0_i
4.0ms	u

Results

Error	Segments	Branch
4.9b	1	`normAngle`
4.9b	1	`u`
4.9b	1	`n0_i`
3.6b	3	`n1_i`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	4.281536364000033e-30	5.3303259654985995e-30
0.0ms	-1.571469952953051e-27	-3.135254578759522e-28

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes38.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	n1_i
10.0ms	n0_i
10.0ms	u
3.0ms	normAngle

Results

Error	Segments	Branch
12.9b	1	`normAngle`
11.7b	2	`u`
9.1b	3	`n0_i`
8.6b	3	`n1_i`

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.0934063035409128e-13	2.6120845395515013e-13
0.0ms	-2.1407183954636443e-14	-1.552213625645102e-14

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes28.0ms (0.1%)

Accuracy

Total -17.1b remaining (-148.3%)

Threshold costs -17.1b (-148.3%)

Counts

2 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)

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

Calls

4 calls:

9.0ms	n1_i
9.0ms	n0_i
5.0ms	u
3.0ms	normAngle

Results

Error	Segments	Branch
16.1b	1	`normAngle`
13.9b	2	`u`
11.9b	3	`n0_i`
11.6b	3	`n1_i`

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.0934063035409128e-13	2.6120845395515013e-13
0.0ms	-5.857476352235822e-17	-2.1563718449085675e-17

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	259

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -5192297/5192296858534827628530496329220096) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 1661535/332306998946228968225951765070086144) (+.f32 n0_i (.f32 u (neg.f32 n0_i))) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -5192297/5192296858534827628530496329220096) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 1661535/332306998946228968225951765070086144) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -2951479/147573952589676412928) (.f32 u n1_i) (if (<=.f32 n1_i 14757395/73786976294838206464) (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))
(if (<=.f32 n1_i -15111573/302231454903657293676544) (.f32 u n1_i) (if (<=.f32 n1_i 14757395/73786976294838206464) n0_i (.f32 u n1_i)))
n0_i

Outputs
(+.f32 (.f32 (-.f32 (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2)))) n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -5192297/5192296858534827628530496329220096) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 1661535/332306998946228968225951765070086144) (+.f32 n0_i (.f32 u (neg.f32 n0_i))) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -5192297/5192296858534827628530496329220096) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 1661535/332306998946228968225951765070086144) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -2951479/147573952589676412928) (.f32 u n1_i) (if (<=.f32 n1_i 14757395/73786976294838206464) (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))
(if (<=.f32 n1_i -15111573/302231454903657293676544) (.f32 u n1_i) (if (<=.f32 n1_i 14757395/73786976294838206464) n0_i (.f32 u n1_i)))
n0_i

Compiler

Compiled 132 to 79 computations (40.2% saved)

soundness1.3s (5%)

Algorithm

4×	egg-herbie

Rules

3388×	`rational.json-simplify-2`
2486×	`rational.json-simplify-35`
1698×	`rational.json-simplify-53`
1668×	`rational.json-simplify-35`
1584×	`rational.json-simplify-35`

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	445	10347
1	1225	10071
2	3039	9951
3	6439	9895
0	237	6889
1	537	6313
2	1055	6161
3	2633	6077
4	4560	6077
5	5788	6041
6	6601	6041
7	7338	6041
0	145	4865
1	344	4813
2	692	4759
3	1845	4759
4	3566	4759
5	4521	4759
6	5295	4759
7	5614	4759
8	5751	4759
9	5877	4759
10	6003	4759
11	6129	4759
12	6293	4759
13	6515	4759
14	6636	4759
15	6689	4759
16	6711	4759
17	6718	4759
18	6844	4759
19	6970	4759

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 750 to 453 computations (39.6% saved)

end130.0ms (0.5%)

Compiler: Compiled 108 to 52 computations (51.9% saved)