Details

analyze523.0ms (2.7%)

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)

sample4.5s (23.5%)

Results

3.7s	8256×	body	256	valid
778.0ms	2051×	body	256	precondition

Bogosity

preprocess48.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

1160×	`rational.json-simplify-29`
996×	`rational.json-simplify-48`
808×	`rational.json-simplify-50`
778×	`rational.json-simplify-41`
762×	`rational.json-simplify-28`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	539
1	183	455
2	535	385
3	1759	385
4	5586	385
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 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.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 n0_i (/.f32 (sin.f32 (.f32 u (-.f32 1 normAngle))) (sin.f32 u))) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 u))))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 n0_i (sin.f32 (.f32 u (-.f32 1 normAngle))))) (sin.f32 u))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 u (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 u))
(+.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 normAngle (/.f32 (sin.f32 (.f32 (-.f32 1 u) n0_i)) (sin.f32 n0_i))) (.f32 n1_i (/.f32 (sin.f32 (.f32 u n0_i)) (sin.f32 n0_i))))
(/.f32 (+.f32 (.f32 normAngle (sin.f32 (.f32 (-.f32 1 u) n0_i))) (.f32 n1_i (sin.f32 (.f32 u n0_i)))) (sin.f32 n0_i))
(/.f32 (+.f32 (.f32 normAngle (sin.f32 (-.f32 n0_i (.f32 u n0_i)))) (.f32 n1_i (sin.f32 (.f32 u n0_i)))) (sin.f32 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 n0_i (/.f32 (sin.f32 n1_i) (sin.f32 (.f32 (-.f32 1 u) n1_i)))) (.f32 normAngle (/.f32 (sin.f32 (*.f32 u n1_i)) (sin.f32 n1_i))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 1 u) n1_i))) (.f32 normAngle (sin.f32 (.f32 u n1_i)))) (sin.f32 n1_i))
(/.f32 (+.f32 (.f32 normAngle (sin.f32 (.f32 u n1_i))) (.f32 n0_i (sin.f32 (-.f32 n1_i (.f32 u n1_i))))) (sin.f32 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 u (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 n0_i))) (sin.f32 normAngle))) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle n0_i)) (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 u (sin.f32 (.f32 normAngle (-.f32 1 n0_i)))) (.f32 n1_i (sin.f32 (.f32 normAngle n0_i)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 u (sin.f32 (-.f32 normAngle (.f32 normAngle n0_i)))) (.f32 n1_i (sin.f32 (.f32 normAngle n0_i)))) (sin.f32 normAngle))
(+.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 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 n1_i))) (sin.f32 normAngle))) (.f32 u (/.f32 (sin.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 n1_i)))) (.f32 u (sin.f32 (.f32 normAngle n1_i)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 normAngle n1_i)))) (.f32 u (sin.f32 (.f32 normAngle n1_i)))) (sin.f32 normAngle))
(+.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 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) n1_i) (.f32 n0_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 u normAngle))) (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n1_i) (.f32 n0_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1156×	`rational.json-simplify-4`
1076×	`rational.json-simplify-5`
1012×	`rational.json-simplify-3`
950×	`rational.json-simplify-2`
754×	`rational.json-simplify-48`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	41	65
2	107	55
3	337	55
4	1156	55
5	4621	55

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

eval1.0ms (0%)

Compiler: Compiled 111 to 55 computations (50.5% saved)

prune3.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1	4	5
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

0.7b

Counts

6 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	0.8b	(+.f32 (.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) n0_i) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
▶	0.9b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))

Compiler

Compiled 98 to 64 computations (34.7% saved)

localize96.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.7b	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series52.0ms (0.3%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
36.0ms	normAngle	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	n0_i	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
1.0ms	normAngle	@	inf	(*.f32 (-.f32 1 u) normAngle)
1.0ms	u	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	normAngle	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`rational.json-simplify-13`
1284×	`rational.json-simplify-29`
958×	`rational.json-1`
958×	`rational.json-2`
958×	`rational.json-4`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	100
1	101	94
2	358	94
3	2114	94

Stop Event

1×	node limit

Counts

4 → 387

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

simplify227.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

980×	`rational.json-simplify-3`
944×	`rational.json-simplify-12`
880×	`rational.json-simplify-13`
828×	`rational.json-simplify-24`
694×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	880	20107
1	3057	19745

Stop Event

1×	node limit

Counts

483 → 649

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))
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)
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))
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(-.f32 (.f32 0 (/.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))) (.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))))
(-.f32 (.f32 0 (neg.f32 n0_i)) (.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))))
(-.f32 (+.f32 (.f32 n0_i (/.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 normAngle u)))))) (.f32 n0_i (/.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 normAngle u))))))) (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 n0_i (/.f32 2 (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 normAngle u))))))))
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(/.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (.f32 (/.f32 1 n0_i) (sin.f32 normAngle)))
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(/.f32 (/.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (sin.f32 normAngle)) (.f32 -1 (neg.f32 (/.f32 1 n0_i))))
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(/.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) 1)
(/.f32 2 (/.f32 (.f32 (sin.f32 normAngle) 2) (.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i)))
(/.f32 2 (.f32 (.f32 (sin.f32 normAngle) 2) (.f32 (/.f32 1 (sin.f32 (-.f32 normAngle (.f32 normAngle u)))) (/.f32 1 n0_i))))
(/.f32 2 (.f32 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) 1/2)) (/.f32 1 n0_i)))
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(/.f32 1/2 (/.f32 (.f32 1/2 (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 normAngle u))))) n0_i))
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(/.f32 (/.f32 -1 (sin.f32 normAngle)) (/.f32 -1 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i)))
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(/.f32 (/.f32 1/2 (.f32 (/.f32 1 (sin.f32 (-.f32 normAngle (.f32 normAngle u)))) (/.f32 1 n0_i))) (*.f32 1/2 (sin.f32 normAngle)))
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(/.f32 (/.f32 (/.f32 n0_i (sin.f32 normAngle)) 2) (/.f32 1/2 (sin.f32 (-.f32 normAngle (*.f32 normAngle u)))))
(/.f32 (/.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) 2) (*.f32 1/2 (sin.f32 normAngle)))
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(/.f32 (-.f32 (+.f32 (.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))) (.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (neg.f32 (sin.f32 normAngle))))) (.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (neg.f32 (sin.f32 normAngle))))) -1)
(neg.f32 (.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))))

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

localize95.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) n0_i)
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.3b	(/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle))
✓	1.6b	(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))

Compiler

Compiled 89 to 37 computations (58.4% saved)

series2.0ms (0%)

Counts

3 → 56

Calls

21 calls:

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

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1014×	`rational.json-simplify-13`
1006×	`rational.json-simplify-21`
962×	`rational.json-simplify-24`
888×	`rational.json-simplify-23`
836×	`rational.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	81
1	94	81
2	325	81
3	1820	81

Stop Event

1×	node limit

Counts

3 → 289

Calls

Call 1

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

Inputs

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

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

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

Outputs
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Outputs

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simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

968×	`rational.json-simplify-24`
706×	`rational.json-simplify-41`
676×	`rational.json-simplify-28`
674×	`rational.json-simplify-13`
540×	`rational.json-simplify-43`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	687	13179
1	2322	12729

Stop Event

1×	node limit

Counts

345 → 399

Calls

Call 1

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

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

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	0.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	7.8b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Compiler

Compiled 79 to 36 computations (54.4% saved)

series32.0ms (0.2%)

Counts

3 → 56

Calls

30 calls:

Time	Variable		Point	Expression
19.0ms	n0_i	@	0	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
3.0ms	normAngle	@	inf	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	normAngle	@	0	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	n1_i	@	0	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
1.0ms	u	@	0	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1092×	`rational.json-1`
1092×	`rational.json-2`
1092×	`rational.json-4`
1092×	`rational.json-3`
944×	`rational.json-simplify-45`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	95
1	107	95
2	388	95
3	2316	95

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

Inputs

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

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

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (/.f32 0 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (neg.f32 (/.f32 0 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (*.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (*.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (/.f32 0 (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (/.f32 -1 (/.f32 (sin.f32 normAngle) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 (sin.f32 normAngle)) (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle))) (*.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) 2) (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 0 (sin.f32 normAngle))) (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) 0) (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) 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simplify135.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1062×	`rational.json-simplify-33`
980×	`rational.json-simplify-35`
666×	`rational.json-simplify-50`
646×	`rational.json-simplify-24`
434×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	490	10571
1	1429	10369
2	6064	10229

Stop Event

1×	node limit

Counts

231 → 261

Calls

Call 1

Inputs
n0_i
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(+.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)))))))
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(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (-.f32 n1_i n1_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (-.f32 n1_i n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (neg.f32 (-.f32 n1_i n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 0 (-.f32 n1_i (sin.f32 (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(+.f32 (.f32 0 (-.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) 0)
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (.f32 u normAngle)) 0))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (-.f32 n1_i n1_i))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (.f32 u normAngle)) (-.f32 n1_i n1_i)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (neg.f32 (-.f32 n1_i n1_i)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 0 (-.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 0 (-.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(-.f32 0 (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(-.f32 (-.f32 n1_i n1_i) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(-.f32 (.f32 0 (neg.f32 (sin.f32 (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(-.f32 (.f32 0 (neg.f32 n1_i)) (.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 n1_i)))
(-.f32 (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 2) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i 3)))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) 0)) (+.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i))))
(-.f32 (+.f32 (-.f32 n1_i n1_i) (-.f32 n1_i n1_i)) (+.f32 (-.f32 n1_i n1_i) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i))))
(-.f32 (+.f32 (.f32 0 (neg.f32 (sin.f32 (.f32 u normAngle)))) (.f32 0 (neg.f32 (sin.f32 (.f32 u normAngle))))) (+.f32 (.f32 0 (neg.f32 (sin.f32 (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i))))
(-.f32 (+.f32 (.f32 0 (neg.f32 n1_i)) (.f32 0 (neg.f32 n1_i))) (+.f32 (.f32 0 (neg.f32 n1_i)) (.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 n1_i))))
(-.f32 (+.f32 (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 2) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 2)) (+.f32 (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 2) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i 3))))
(/.f32 1 (/.f32 (/.f32 1 n1_i) (sin.f32 (*.f32 u normAngle))))
(/.f32 1 (/.f32 (/.f32 1 (sin.f32 (*.f32 u normAngle))) n1_i))
(/.f32 1 (/.f32 1 (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(/.f32 1 (/.f32 -1 (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 n1_i))
(/.f32 n1_i (/.f32 1 (sin.f32 (*.f32 u normAngle))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) 1)
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)) -1)
(/.f32 (neg.f32 n1_i) (neg.f32 (/.f32 1 (sin.f32 (*.f32 u normAngle)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (neg.f32 (/.f32 1 n1_i)))
(/.f32 (+.f32 (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) -1)
(neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))

Outputs
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 n0_i (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
(+.f32 n0_i (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 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 n0_i (+.f32 (.f32 (pow.f32 u 2) (.f32 -1/2 (.f32 n0_i (pow.f32 normAngle 2)))) (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (.f32 (.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))))))
(+.f32 n0_i (+.f32 (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle))) (.f32 n0_i (.f32 -1/2 (*.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))))
(+.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 n0_i (+.f32 (.f32 (pow.f32 u 2) (.f32 -1/2 (.f32 n0_i (pow.f32 normAngle 2)))) (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (.f32 (.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))) (.f32 (+.f32 (/.f32 -1/6 (/.f32 (sin.f32 normAngle) (.f32 n1_i (pow.f32 normAngle 3)))) (/.f32 1/6 (/.f32 (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (pow.f32 normAngle 3)))))) (pow.f32 u 3)))
(+.f32 (+.f32 n0_i (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 3))) (.f32 1/6 (.f32 n0_i (.f32 (cos.f32 normAngle) (pow.f32 normAngle 3))))) (sin.f32 normAngle)) (pow.f32 u 3)) (.f32 n0_i (.f32 -1/2 (*.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))))
(/.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 normAngle (+.f32 1 (.f32 u -1))))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u))))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 (neg.f32 u) normAngle) normAngle))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (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 normAngle (+.f32 1 (.f32 u -1))))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u))))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 (neg.f32 u) normAngle) normAngle))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (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 normAngle (+.f32 1 (.f32 u -1))))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u))))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 (neg.f32 u) normAngle) normAngle))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (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 normAngle (+.f32 1 (.f32 u -1))))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u))))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 (neg.f32 u) normAngle) normAngle))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(+.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 u n1_i) (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 -1/6 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))))))) (.f32 n0_i (-.f32 1 u))))
(+.f32 (.f32 u n1_i) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (-.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 -1/6 (+.f32 (.f32 u n1_i) (*.f32 n0_i (-.f32 1 u))))))))
(+.f32 (.f32 u n1_i) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (neg.f32 (pow.f32 normAngle 2)) (.f32 -1/6 (-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))))))))
(+.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 n1_i (.f32 1/120 (pow.f32 u 5))) (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 1/120 n0_i))) (+.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) 1/120) (.f32 -1/6 (+.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 -1/6 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 u n1_i) (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 -1/6 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))))))) (.f32 n0_i (-.f32 1 u)))))
(+.f32 (+.f32 (.f32 u n1_i) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (pow.f32 normAngle 2) (-.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 -1/6 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))))))) (.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 u n1_i) (.f32 n0_i (-.f32 1 u))) 1/120) (-.f32 (.f32 -1/6 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))))) (.f32 (+.f32 (.f32 u n1_i) (*.f32 n0_i (-.f32 1 u))) 1/36)))) (pow.f32 normAngle 4)))
(+.f32 (+.f32 (.f32 u n1_i) (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (neg.f32 (pow.f32 normAngle 2)) (.f32 -1/6 (-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))))))) (.f32 (-.f32 (.f32 1/120 (+.f32 (.f32 n1_i (pow.f32 u 5)) (.f32 n0_i (pow.f32 (-.f32 1 u) 5)))) (+.f32 (.f32 -1/6 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))))) (.f32 (+.f32 (.f32 u n1_i) (*.f32 n0_i (-.f32 1 u))) -7/360))) (pow.f32 normAngle 4)))
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(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (neg.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 0)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (neg.f32 (-.f32 n0_i n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (-.f32 n0_i n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 0 (-.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 0 (-.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 0 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i)) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 0) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (-.f32 n0_i n0_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i)) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (neg.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 0)) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (neg.f32 (-.f32 n0_i n0_i)) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (-.f32 n0_i n0_i)) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 0 (-.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 0 (-.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i)) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) 0)
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 0))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (-.f32 n0_i n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (neg.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 0)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (neg.f32 (-.f32 n0_i n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (-.f32 n0_i n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 0 (-.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 0 (-.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 0 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 0) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (-.f32 n0_i n0_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i)) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 0 (neg.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))))) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 0 (neg.f32 n0_i)) (.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (neg.f32 n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i)) 2) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n0_i 3)))
(-.f32 (.f32 2 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i))) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n0_i 3)))
(-.f32 (+.f32 (-.f32 n0_i n0_i) (-.f32 n0_i n0_i)) (+.f32 (-.f32 n0_i n0_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 0) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 0)) (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 0) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (+.f32 (.f32 0 (neg.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))))) (.f32 0 (neg.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle)))))) (+.f32 (.f32 0 (neg.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))))) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (+.f32 (.f32 0 (neg.f32 n0_i)) (.f32 0 (neg.f32 n0_i))) (+.f32 (.f32 0 (neg.f32 n0_i)) (.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (neg.f32 n0_i))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(-.f32 (+.f32 (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i)) 2) (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i)) 2)) (+.f32 (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i)) 2) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n0_i 3))))
(-.f32 (.f32 2 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i))) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 n0_i 3)))
(/.f32 1 (/.f32 (/.f32 1 n0_i) (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 1 (/.f32 (/.f32 1 (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 1 (/.f32 1 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 1 (/.f32 -1 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))) (/.f32 1 n0_i))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 n0_i (/.f32 1 (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) 1)
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 (neg.f32 (sin.f32 (-.f32 normAngle (*.f32 u normAngle)))) (neg.f32 (/.f32 1 n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i)) -1)
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 (neg.f32 n0_i) (neg.f32 (/.f32 1 (sin.f32 (-.f32 normAngle (*.f32 u normAngle))))))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(/.f32 (+.f32 (neg.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (+.f32 n0_i n0_i))) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i)) -1)
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(neg.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (neg.f32 n0_i)))
(.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle))))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) 0)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (.f32 u normAngle)) 0))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (-.f32 n1_i n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (.f32 u normAngle)) (-.f32 n1_i n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (neg.f32 (-.f32 n1_i n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 0 (-.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 0 (-.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 0 (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (-.f32 n1_i n1_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (-.f32 n1_i n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (neg.f32 (-.f32 n1_i n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 0 (-.f32 n1_i (sin.f32 (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+.f32 (.f32 0 (-.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) 0)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (.f32 u normAngle)) 0))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (-.f32 n1_i n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (.f32 u normAngle)) (-.f32 n1_i n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (neg.f32 (-.f32 n1_i n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 0 (-.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 0 (-.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 0 (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (-.f32 n1_i n1_i) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 0 (neg.f32 (sin.f32 (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 0 (neg.f32 n1_i)) (.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 2) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i 3)))
(-.f32 (.f32 2 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i))) (.f32 n1_i (.f32 (sin.f32 (.f32 u normAngle)) 3)))
(-.f32 (.f32 2 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i))) (.f32 n1_i (.f32 3 (sin.f32 (.f32 u normAngle)))))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) 0)) (+.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (+.f32 (-.f32 n1_i n1_i) (-.f32 n1_i n1_i)) (+.f32 (-.f32 n1_i n1_i) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (+.f32 (.f32 0 (neg.f32 (sin.f32 (.f32 u normAngle)))) (.f32 0 (neg.f32 (sin.f32 (.f32 u normAngle))))) (+.f32 (.f32 0 (neg.f32 (sin.f32 (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (+.f32 (.f32 0 (neg.f32 n1_i)) (.f32 0 (neg.f32 n1_i))) (+.f32 (.f32 0 (neg.f32 n1_i)) (.f32 (sin.f32 (*.f32 u normAngle)) (neg.f32 n1_i))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(-.f32 (+.f32 (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 2) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 2)) (+.f32 (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 2) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i 3))))
(-.f32 (.f32 2 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i))) (.f32 n1_i (.f32 (sin.f32 (.f32 u normAngle)) 3)))
(-.f32 (.f32 2 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i))) (.f32 n1_i (.f32 3 (sin.f32 (.f32 u normAngle)))))
(/.f32 1 (/.f32 (/.f32 1 n1_i) (sin.f32 (*.f32 u normAngle))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 1 (/.f32 (/.f32 1 (sin.f32 (*.f32 u normAngle))) n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 1 (/.f32 1 (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 1 (/.f32 -1 (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 n1_i))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 n1_i (/.f32 1 (sin.f32 (*.f32 u normAngle))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) 1)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)) -1)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (neg.f32 n1_i) (neg.f32 (/.f32 1 (sin.f32 (*.f32 u normAngle)))))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (neg.f32 (sin.f32 (*.f32 u normAngle))) (neg.f32 (/.f32 1 n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(/.f32 (+.f32 (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) -1)
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) (neg.f32 n1_i)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 75 to 13 computations (82.7% saved)

series11.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite93.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1054×	`rational.json-simplify-29`
1022×	`rational.json-1`
1022×	`rational.json-2`
1022×	`rational.json-4`
1022×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	123
1	96	123
2	357	123
3	2103	123

Stop Event

1×	node limit

Counts

3 → 196

Calls

Call 1

Inputs

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

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

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

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (/.f32 1/2 (sin.f32 normAngle))) (*.f32 (/.f32 1/2 (sin.f32 normAngle)) (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i) (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle 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 u)) n1_i) (/.f32 1/2 (sin.f32 normAngle))) (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i) (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i) (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (/.f32 1/2 (sin.f32 normAngle))) (*.f32 1 (/.f32 (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i) (+.f32 (*.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) n0_i) (*.f32 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simplify149.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1050×	`rational.json-simplify-24`
790×	`rational.json-simplify-50`
502×	`rational.json-simplify-1`
474×	`rational.json-simplify-2`
418×	`rational.json-simplify-63`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	563	17076
1	1758	16370

Stop Event

1×	node limit

Counts

328 → 316

Calls

Call 1

Inputs
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
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n0_i
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(-.f32 (.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) 2) (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 3))
(-.f32 (.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 3) 1/2) (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1/2))
(.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1)
(.f32 1 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))
(.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))
(.f32 1/2 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (+.f32 n0_i n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) (+.f32 n1_i n1_i))))
(.f32 1/2 (+.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) (.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) (+.f32 n0_i n0_i))))
(.f32 -1 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
(.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) -1)
(.f32 -1/2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))
(.f32 -1/2 (.f32 1 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2))))
(.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) -1/2)
(.f32 (.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) 2) 1/4)
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)
(/.f32 1 (/.f32 1 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(/.f32 1 (/.f32 -1 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))
(/.f32 1 (/.f32 (/.f32 1 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2)) 1/2))
(/.f32 1/2 (/.f32 1 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2)))
(/.f32 1/2 (/.f32 -1 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2))))
(/.f32 -1 (/.f32 -1 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(/.f32 -1 (/.f32 1 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))
(/.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) -1)
(neg.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle 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 (.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 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) -1/6)) (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 n1_i (.f32 1/120 (pow.f32 u 5))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 1/120 n0_i)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (+.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (+.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))) (pow.f32 normAngle 2)) (.f32 (-.f32 1 u) n0_i))))
(+.f32 (.f32 n1_i u) (+.f32 (.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 (.f32 -1/6 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))))) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/36)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (-.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) -1/6)) (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 (-.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 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 1/120 n0_i)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (+.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))))))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (+.f32 (.f32 n1_i (.f32 -1/5040 (pow.f32 u 7))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 7) (.f32 -1/5040 n0_i)) (+.f32 (.f32 (+.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6))) 1/120) (+.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 1/120 n0_i)) (+.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 -1/6 (+.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (-.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 -1/6 n0_i)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)))))))) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/5040))))) (pow.f32 normAngle 6))))))
(+.f32 (.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 (.f32 -1/6 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))))) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/36)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/6)) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (+.f32 (.f32 n1_i (pow.f32 u 7)) (.f32 n0_i (pow.f32 (-.f32 1 u) 7)))) (+.f32 (-.f32 (.f32 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))) 1/120) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/720)) (+.f32 (.f32 1/6 (+.f32 (-.f32 (.f32 -1/6 (.f32 -1/6 (+.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))))) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/36)) (-.f32 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) 1/120) (.f32 1/120 (+.f32 (.f32 n1_i (pow.f32 u 5)) (.f32 n0_i (pow.f32 (-.f32 1 u) 5))))))) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -1/5040)))) (pow.f32 normAngle 6)) (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)))))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 u normAngle) (.f32 normAngle -1))))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (.f32 normAngle (+.f32 u -1))))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 u normAngle) (.f32 normAngle -1))))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (.f32 normAngle (+.f32 u -1))))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 u normAngle) (.f32 normAngle -1))))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (.f32 normAngle (+.f32 u -1))))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 -1 normAngle) (.f32 u normAngle))))) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (+.f32 (.f32 u normAngle) (.f32 normAngle -1))))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 n0_i (sin.f32 (neg.f32 (.f32 normAngle (+.f32 u -1))))) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (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 n0_i (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 -1 (.f32 n0_i (*.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (neg.f32 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 n0_i (+.f32 (.f32 -1/2 (.f32 n0_i (.f32 (pow.f32 normAngle 2) (pow.f32 u 2)))) (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 -1 (.f32 n0_i (.f32 (cos.f32 normAngle) normAngle))) (sin.f32 normAngle))))))
(+.f32 (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle))) (+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (*.f32 n0_i (pow.f32 normAngle 2)))) n0_i))
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(-.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (-.f32 n0_i n0_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (-.f32 n0_i (-.f32 n0_i (.f32 n1_i (sin.f32 (.f32 u normAngle))))))
(-.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 0))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(-.f32 0 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(-.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(-.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) (.f32 -1 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(-.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i))) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 (sin.f32 (.f32 u normAngle)) (-.f32 (+.f32 n1_i n1_i) n1_i)))
(-.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (+.f32 n0_i n0_i))) (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(-.f32 (.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) 2) (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 3))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(-.f32 (.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 3) 1/2) (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1/2))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 1)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 1 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2) 1/2)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 1/2 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 1/2 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (+.f32 n0_i n0_i)) (.f32 (sin.f32 (*.f32 normAngle u)) (+.f32 n1_i n1_i))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 1/2 (+.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)) (.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) (+.f32 n0_i n0_i))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 -1 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) -1)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 -1/2 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 -1/2 (.f32 1 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) -1/2)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(.f32 (.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2) 2) 1/4)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 1 (/.f32 -1 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 1 (/.f32 (/.f32 1 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2)) 1/2))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 1/2 (/.f32 1 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2)))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 1/2 (/.f32 -1 (neg.f32 (.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) 2))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 -1 (/.f32 -1 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 -1 (/.f32 1 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) -1)
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(neg.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
(+.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (.f32 u normAngle))))

eval752.0ms (3.9%)

Compiler: Compiled 63297 to 23118 computations (63.5% saved)

prune840.0ms (4.4%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1973	20	1993
Fresh	0	0	0
Picked	0	1	1
Done	3	0	3
Total	1976	21	1997

Error

0.0b

Counts

1997 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	8.7b	(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 n1_i))) (sin.f32 normAngle))
✓	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	8.0b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 u (.f32 n1_i normAngle))) (sin.f32 normAngle))
▶	8.7b	(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
	23.2b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	15.9b	(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
	4.9b	(+.f32 (-.f32 (/.f32 (+.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 2)) (.f32 (/.f32 1 n0_i) (.f32 (sin.f32 normAngle) 2))) (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (/.f32 1/2 (sin.f32 normAngle)))) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	0.9b	(+.f32 (.f32 (/.f32 (sin.f32 (/.f32 (-.f32 1 u) (/.f32 1 normAngle))) (sin.f32 normAngle)) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
▶	0.5b	(+.f32 (.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 u n1_i))
	7.5b	(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 n1_i n1_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (-.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
	0.8b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	0.6b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	0.9b	(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
▶	0.5b	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
▶	6.4b	(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	6.5b	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
▶	3.5b	(+.f32 n0_i (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle))))
	12.4b	(.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
	20.8b	(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
	16.4b	n0_i

Compiler

Compiled 839 to 529 computations (36.9% saved)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite89.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1298×	`rational.json-simplify-1`
620×	`rational.json-simplify-23`
620×	`rational.json-1`
620×	`rational.json-2`
620×	`rational.json-4`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	45
1	65	45
2	234	39
3	1273	39
4	7676	39

Stop Event

1×	node limit

Counts

3 → 318

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (*.f32 n0_i (neg.f32 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (*.f32 1/2 (-.f32 (*.f32 n0_i (neg.f32 u)) (*.f32 n0_i u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 n0_i u)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 u u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 n0_i n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 n0_i u)) (*.f32 n0_i (-.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 (-.f32 u u) (-.f32 n0_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 (-.f32 n0_i n0_i) (-.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 n0_i u)) (*.f32 1 (-.f32 (-.f32 u u) (-.f32 n0_i n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (*.f32 n0_i u)) 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((#(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) (-.f32 u u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u n1_i) (-.f32 n1_i n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u n1_i) (*.f32 u (-.f32 n1_i n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u n1_i) (*.f32 0 (-.f32 n1_i u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u n1_i) (*.f32 0 (-.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u n1_i) (*.f32 1 (*.f32 0 (-.f32 n1_i u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u n1_i) (*.f32 1 (*.f32 0 (-.f32 u n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 n1_i (neg.f32 u)) (*.f32 n1_i (+.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 u u) (*.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 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u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1/2 (/.f32 -1 (+.f32 (*.f32 n1_i (neg.f32 u)) (*.f32 n1_i (neg.f32 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i 1/2) (/.f32 1/2 u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u 1/2) (/.f32 1/2 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 u 3) (*.f32 (+.f32 u u) 2)) (/.f32 -1 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 n1_i 3) (*.f32 (+.f32 n1_i n1_i) 2)) (/.f32 -1 u))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 n1_i (*.f32 u 3)) (*.f32 (*.f32 n1_i (+.f32 u u)) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 n1_i (neg.f32 u)))))))

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

912×	`rational.json-simplify-3`
860×	`rational.json-simplify-12`
850×	`rational.json-simplify-5`
780×	`rational.json-simplify-2`
728×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	660	10638
1	2507	10484

Stop Event

1×	node limit

Counts

402 → 519

Calls

Call 1

Inputs
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 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 (.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)
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 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(*.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 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 n0_i (.f32 1/2 (-.f32 (.f32 n0_i (neg.f32 u)) (*.f32 n0_i u))))
(+.f32 (-.f32 n0_i (*.f32 n0_i u)) 0)
(+.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 u u))
(+.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 n0_i n0_i))
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(-.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (/.f32 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) -1))
(-.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (.f32 -1 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)))
(-.f32 (-.f32 n0_i n0_i) (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(-.f32 (-.f32 n0_i n0_i) (+.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (-.f32 n0_i n0_i)))
(-.f32 (.f32 n0_i (neg.f32 u)) (/.f32 (+.f32 n0_i (.f32 u n1_i)) -1))
(-.f32 (.f32 n0_i (neg.f32 u)) (.f32 -1 (+.f32 n0_i (*.f32 u n1_i))))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 u u)))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 n1_i n1_i)))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 n0_i n0_i)))
(-.f32 (+.f32 (.f32 u n1_i) (+.f32 n0_i n0_i)) (+.f32 n0_i (.f32 n0_i u)))
(-.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 n1_i (+.f32 u u))) (*.f32 u n1_i))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (-.f32 n0_i (.f32 n0_i u)))
(-.f32 (.f32 n0_i (+.f32 u u)) (+.f32 (.f32 n0_i u) (-.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2))))
(-.f32 (.f32 (+.f32 n0_i (.f32 u n1_i)) 2) (+.f32 (.f32 n0_i u) (+.f32 n0_i (.f32 u n1_i))))
(-.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) 2) (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 3))
(-.f32 (.f32 (+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u n1_i))) 1/2) (.f32 1/2 (*.f32 n0_i u)))
(-.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 3) 1/2) (.f32 1/2 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(-.f32 (+.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 u (-.f32 n1_i n0_i))) (+.f32 (neg.f32 n0_i) (*.f32 u (-.f32 n1_i n0_i))))
(-.f32 (+.f32 (+.f32 (.f32 u n1_i) (+.f32 n0_i n0_i)) (+.f32 (.f32 u n1_i) (+.f32 n0_i n0_i))) (+.f32 (+.f32 n0_i (.f32 n0_i u)) (+.f32 (.f32 u n1_i) (+.f32 n0_i n0_i))))
(-.f32 (+.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 n1_i (+.f32 u u))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 n1_i (+.f32 u u)))) (+.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 n1_i (+.f32 u u)))))
(-.f32 (+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))))
(-.f32 (+.f32 (.f32 (+.f32 n0_i (.f32 u n1_i)) 2) (.f32 (+.f32 n0_i (.f32 u n1_i)) 2)) (+.f32 (.f32 (+.f32 n0_i (.f32 u n1_i)) 2) (+.f32 (.f32 n0_i u) (+.f32 n0_i (.f32 u n1_i)))))
(-.f32 (+.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) 2) (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) 2)) (+.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) 2) (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 3)))
(.f32 1 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))
(.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 1)
(.f32 2 (/.f32 1/2 (/.f32 1 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))))
(.f32 -1 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))))
(.f32 -1 (-.f32 (-.f32 u u) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))))
(.f32 -1 (-.f32 (-.f32 n1_i n1_i) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))))
(.f32 -1 (-.f32 (-.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)) (*.f32 n0_i u)))
(.f32 -1 (-.f32 (neg.f32 n0_i) (.f32 u (-.f32 n1_i n0_i))))
(.f32 -1 (-.f32 (+.f32 n0_i (.f32 n0_i u)) (+.f32 (*.f32 u n1_i) (+.f32 n0_i n0_i))))
(.f32 -1 (-.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 n1_i (+.f32 u u)))))
(.f32 -1 (-.f32 (-.f32 n0_i (.f32 n0_i u)) (+.f32 (.f32 u n1_i) (.f32 n0_i (*.f32 (+.f32 u -1) -2)))))
(.f32 -1 (-.f32 (+.f32 (.f32 n0_i u) (+.f32 n0_i (.f32 u n1_i))) (.f32 (+.f32 n0_i (*.f32 u n1_i)) 2)))
(.f32 -1 (-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 3) (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) 2)))
(.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) -1)
(.f32 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2))
(.f32 1/2 (+.f32 (.f32 n1_i (+.f32 u u)) (.f32 n0_i (.f32 (+.f32 u -1) -2))))
(.f32 (+.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))) -1/2)
(.f32 -1/2 (+.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))
(.f32 -1/2 (-.f32 0 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2)))
(.f32 -1/2 (-.f32 (.f32 n0_i u) (+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u n1_i)))))
(.f32 -1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 3)))
(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 1)
(/.f32 -1 (/.f32 1 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))
(/.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) -1)
(/.f32 1/2 (/.f32 1 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)))
(/.f32 1/2 (/.f32 -1 (+.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))))))
(/.f32 (-.f32 (-.f32 u u) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) -1)
(/.f32 (-.f32 (-.f32 n1_i n1_i) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) -1)
(/.f32 (-.f32 (-.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)) (.f32 n0_i u)) -1)
(/.f32 (-.f32 (neg.f32 n0_i) (*.f32 u (-.f32 n1_i n0_i))) -1)
(/.f32 (-.f32 (+.f32 n0_i (.f32 n0_i u)) (+.f32 (.f32 u n1_i) (+.f32 n0_i n0_i))) -1)
(/.f32 (-.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 n1_i (+.f32 u u)))) -1)
(/.f32 (-.f32 (-.f32 n0_i (.f32 n0_i u)) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))) -1)
(/.f32 (-.f32 (+.f32 (.f32 n0_i u) (+.f32 n0_i (.f32 u n1_i))) (.f32 (+.f32 n0_i (.f32 u n1_i)) 2)) -1)
(/.f32 (-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 3) (.f32 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) 2)) -1)
(/.f32 (-.f32 (+.f32 (neg.f32 n0_i) (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u))) -1)
(neg.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(+.f32 (*.f32 u n1_i) 0)
(+.f32 (*.f32 u n1_i) (-.f32 u u))
(+.f32 (*.f32 u n1_i) (-.f32 n1_i n1_i))
(+.f32 (.f32 u n1_i) (.f32 u (-.f32 n1_i n1_i)))
(+.f32 (.f32 u n1_i) (.f32 0 (-.f32 n1_i u)))
(+.f32 (.f32 u n1_i) (.f32 0 (-.f32 u n1_i)))
(+.f32 (.f32 u n1_i) (.f32 1 (*.f32 0 (-.f32 n1_i u))))
(+.f32 (.f32 u n1_i) (.f32 1 (*.f32 0 (-.f32 u n1_i))))
(+.f32 0 (*.f32 u n1_i))
(+.f32 (.f32 n1_i (neg.f32 u)) (.f32 n1_i (+.f32 u u)))
(+.f32 (-.f32 u u) (*.f32 u n1_i))
(+.f32 (-.f32 n1_i n1_i) (*.f32 u n1_i))
(+.f32 (.f32 n1_i (+.f32 u u)) (.f32 n1_i (neg.f32 u)))
(+.f32 (.f32 u (-.f32 n1_i n1_i)) (.f32 u n1_i))
(+.f32 (.f32 0 (-.f32 n1_i u)) (.f32 u n1_i))
(+.f32 (.f32 0 (-.f32 u n1_i)) (.f32 u n1_i))
(+.f32 (.f32 1 (.f32 0 (-.f32 n1_i u))) (*.f32 u n1_i))
(+.f32 (.f32 1 (.f32 0 (-.f32 u n1_i))) (*.f32 u n1_i))
(+.f32 (.f32 (.f32 u n1_i) 1/2) (.f32 1/2 (.f32 u n1_i)))
(+.f32 (.f32 1/2 (.f32 u n1_i)) (.f32 (.f32 u n1_i) 1/2))
(-.f32 (*.f32 u n1_i) 0)
(-.f32 (*.f32 u n1_i) (-.f32 u u))
(-.f32 (*.f32 u n1_i) (-.f32 n1_i n1_i))
(-.f32 (.f32 u n1_i) (.f32 u (-.f32 n1_i n1_i)))
(-.f32 (.f32 u n1_i) (.f32 0 (-.f32 n1_i u)))
(-.f32 (.f32 u n1_i) (.f32 0 (-.f32 u n1_i)))
(-.f32 (*.f32 u n1_i) (+.f32 (-.f32 u u) (-.f32 n1_i n1_i)))
(-.f32 (.f32 u n1_i) (+.f32 (-.f32 n1_i n1_i) (.f32 u (-.f32 n1_i n1_i))))
(-.f32 (.f32 u n1_i) (+.f32 (-.f32 u u) (.f32 u (-.f32 n1_i n1_i))))
(-.f32 (.f32 u n1_i) (+.f32 (.f32 u (-.f32 n1_i n1_i)) (*.f32 u (-.f32 n1_i n1_i))))
(-.f32 0 (*.f32 n1_i (neg.f32 u)))
(-.f32 (*.f32 n1_i (neg.f32 u)) (/.f32 (+.f32 n1_i n1_i) (/.f32 -1 u)))
(-.f32 (*.f32 n1_i (neg.f32 u)) (/.f32 (+.f32 u u) (/.f32 -1 n1_i)))
(-.f32 (.f32 n1_i (neg.f32 u)) (/.f32 (.f32 n1_i (+.f32 u u)) -1))
(-.f32 (.f32 n1_i (neg.f32 u)) (.f32 (neg.f32 u) (+.f32 n1_i n1_i)))
(-.f32 (.f32 n1_i (neg.f32 u)) (.f32 (neg.f32 n1_i) (+.f32 u u)))
(-.f32 (.f32 n1_i (neg.f32 u)) (.f32 -1 (*.f32 n1_i (+.f32 u u))))
(-.f32 (-.f32 u u) (*.f32 n1_i (neg.f32 u)))
(-.f32 (-.f32 n1_i n1_i) (*.f32 n1_i (neg.f32 u)))
(-.f32 (.f32 n1_i (+.f32 u u)) (.f32 u n1_i))
(-.f32 (.f32 (.f32 n1_i (+.f32 u u)) 2) (.f32 n1_i (.f32 u 3)))
(-.f32 (.f32 (.f32 (+.f32 n1_i n1_i) 2) u) (.f32 n1_i (.f32 u 3)))
(-.f32 (.f32 (.f32 (+.f32 u u) 2) n1_i) (.f32 n1_i (.f32 u 3)))
(-.f32 (.f32 (-.f32 u u) -1) (.f32 n1_i (neg.f32 u)))
(-.f32 (.f32 (-.f32 n1_i n1_i) -1) (.f32 n1_i (neg.f32 u)))
(-.f32 (.f32 (.f32 n1_i (.f32 u 3)) 1/2) (.f32 1/2 (*.f32 u n1_i)))
(-.f32 (+.f32 (.f32 (.f32 n1_i (+.f32 u u)) 2) (.f32 (.f32 n1_i (+.f32 u u)) 2)) (+.f32 (.f32 n1_i (.f32 u 3)) (.f32 (.f32 n1_i (+.f32 u u)) 2)))
(/.f32 1 (/.f32 1 (*.f32 u n1_i)))
(/.f32 u (/.f32 1 n1_i))
(/.f32 u (neg.f32 (/.f32 -1 n1_i)))
(/.f32 n1_i (/.f32 1 u))
(/.f32 n1_i (neg.f32 (/.f32 -1 u)))
(/.f32 (*.f32 u n1_i) 1)
(/.f32 -1 (/.f32 1 (*.f32 n1_i (neg.f32 u))))
(/.f32 (neg.f32 n1_i) (/.f32 -1 u))
(/.f32 (neg.f32 u) (/.f32 -1 n1_i))
(/.f32 (*.f32 n1_i (neg.f32 u)) -1)
(/.f32 (+.f32 n1_i n1_i) (/.f32 (/.f32 1 u) 1/2))
(/.f32 (+.f32 u u) (/.f32 (/.f32 1 n1_i) 1/2))
(/.f32 1/2 (/.f32 (/.f32 1/2 n1_i) u))
(/.f32 1/2 (/.f32 (/.f32 1/2 u) n1_i))
(/.f32 1/2 (/.f32 (/.f32 1 u) (+.f32 n1_i n1_i)))
(/.f32 1/2 (/.f32 (/.f32 1 n1_i) (+.f32 u u)))
(/.f32 1/2 (/.f32 1 (*.f32 n1_i (+.f32 u u))))
(/.f32 1/2 (/.f32 -1 (+.f32 (.f32 n1_i (neg.f32 u)) (.f32 n1_i (neg.f32 u)))))
(/.f32 (*.f32 n1_i 1/2) (/.f32 1/2 u))
(/.f32 (*.f32 u 1/2) (/.f32 1/2 n1_i))
(/.f32 (-.f32 (.f32 u 3) (.f32 (+.f32 u u) 2)) (/.f32 -1 n1_i))
(/.f32 (-.f32 (.f32 n1_i 3) (.f32 (+.f32 n1_i n1_i) 2)) (/.f32 -1 u))
(/.f32 (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 (.f32 n1_i (+.f32 u u)) 2)) -1)
(neg.f32 (*.f32 n1_i (neg.f32 u)))

Outputs
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(.f32 -1 (.f32 u n0_i))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(.f32 -1 (.f32 u n0_i))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
n0_i
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.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 (neg.f32 n0_i))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.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 (neg.f32 n0_i)))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.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 (neg.f32 n0_i))))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.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 (neg.f32 n1_i))))
(.f32 u (.f32 -1 (+.f32 n0_i (neg.f32 n1_i))))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 u (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 n0_i (.f32 u (.f32 -1 (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 u (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 n0_i (.f32 u (.f32 -1 (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 (.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i))) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 u (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 n0_i (.f32 u (.f32 -1 (+.f32 n0_i (neg.f32 n1_i)))))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))
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(/.f32 (-.f32 (.f32 u 3) (.f32 (+.f32 u u) 2)) (/.f32 -1 n1_i))
(.f32 (-.f32 (.f32 u 3) (*.f32 2 (+.f32 u u))) (neg.f32 n1_i))
(/.f32 (-.f32 (.f32 n1_i 3) (.f32 (+.f32 n1_i n1_i) 2)) (/.f32 -1 u))
(.f32 (-.f32 (.f32 n1_i 3) (*.f32 2 (+.f32 n1_i n1_i))) (neg.f32 u))
(/.f32 (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 (.f32 n1_i (+.f32 u u)) 2)) -1)
(neg.f32 (-.f32 (.f32 u (.f32 n1_i 3)) (.f32 2 (.f32 n1_i (+.f32 u u)))))
(/.f32 (.f32 n1_i (-.f32 (.f32 2 (+.f32 u u)) (*.f32 u 3))) 1)
(neg.f32 (*.f32 n1_i (neg.f32 u)))
(*.f32 u n1_i)

localize60.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 27 computations (51.8% saved)

series15.0ms (0.1%)

Counts

4 → 106

Calls

39 calls:

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

rewrite92.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1392×	`rational.json-simplify-13`
1032×	`rational.json-1`
1032×	`rational.json-2`
1032×	`rational.json-4`
1032×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	110
1	90	110
2	327	110
3	2113	92

Stop Event

1×	node limit

Counts

4 → 274

Calls

Call 1

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

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

simplify171.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

752×	`rational.json-simplify-24`
730×	`rational.json-simplify-2`
710×	`rational.json-simplify-3`
666×	`rational.json-simplify-12`
618×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	586	13442
1	1875	12712

Stop Event

1×	node limit

Counts

380 → 421

Calls

Call 1

Inputs
(/.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)))
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(-.f32 (-.f32 n0_i (.f32 u n0_i)) (neg.f32 (.f32 (-.f32 1 u) 0)))
(-.f32 (-.f32 n0_i (*.f32 u n0_i)) (neg.f32 (-.f32 n0_i n0_i)))
(-.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 0 (-.f32 n0_i (-.f32 1 u))))
(-.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 0 (-.f32 (-.f32 1 u) n0_i)))
(-.f32 0 (-.f32 (*.f32 u n0_i) n0_i))
(-.f32 (.f32 (-.f32 1 u) 0) (-.f32 (.f32 u n0_i) n0_i))
(-.f32 (-.f32 n0_i n0_i) (-.f32 (*.f32 u n0_i) n0_i))
(-.f32 (.f32 u n0_i) (-.f32 n0_i (.f32 (-.f32 1 u) (+.f32 n0_i n0_i))))
(-.f32 (+.f32 n0_i n0_i) (*.f32 n0_i (+.f32 u 1)))
(-.f32 (.f32 n0_i (+.f32 u 1)) (.f32 n0_i (-.f32 2 (*.f32 (+.f32 u -1) -2))))
(-.f32 (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) (-.f32 n0_i (.f32 u n0_i)))
(-.f32 (*.f32 n0_i (-.f32 2 u)) n0_i)
(-.f32 (-.f32 n0_i (.f32 (-.f32 1 u) 0)) (.f32 u n0_i))
(-.f32 (-.f32 (+.f32 n0_i n0_i) (.f32 (-.f32 1 u) 0)) (.f32 n0_i (+.f32 u 1)))
(-.f32 (.f32 0 (+.f32 u -1)) (-.f32 (.f32 u n0_i) n0_i))
(-.f32 (.f32 0 (neg.f32 n0_i)) (-.f32 (.f32 u n0_i) n0_i))
(-.f32 (.f32 (+.f32 u 1) (neg.f32 n0_i)) (.f32 2 (neg.f32 n0_i)))
(-.f32 (*.f32 u (neg.f32 n0_i)) (neg.f32 n0_i))
(-.f32 (.f32 n0_i 4) (.f32 n0_i (+.f32 u 3)))
(-.f32 (.f32 (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) 2) (.f32 (-.f32 1 u) (.f32 n0_i 3)))
(-.f32 (+.f32 (.f32 n0_i 4) (.f32 n0_i 4)) (+.f32 (.f32 n0_i 4) (.f32 n0_i (+.f32 u 3))))
(-.f32 (+.f32 (.f32 (-.f32 1 u) 0) (.f32 (-.f32 1 u) 0)) (+.f32 (.f32 (-.f32 1 u) 0) (-.f32 (.f32 u n0_i) n0_i)))
(-.f32 (+.f32 (-.f32 n0_i n0_i) (-.f32 n0_i n0_i)) (+.f32 (-.f32 n0_i n0_i) (-.f32 (*.f32 u n0_i) n0_i)))
(-.f32 (+.f32 (.f32 n0_i (+.f32 u 1)) (.f32 n0_i (+.f32 u 1))) (+.f32 (.f32 n0_i (+.f32 u 1)) (.f32 n0_i (-.f32 2 (*.f32 (+.f32 u -1) -2)))))
(-.f32 (+.f32 (.f32 u n0_i) (.f32 u n0_i)) (+.f32 (.f32 u n0_i) (-.f32 n0_i (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)))))
(-.f32 (+.f32 (.f32 n0_i (-.f32 2 u)) (.f32 n0_i (-.f32 2 u))) (+.f32 (*.f32 n0_i (-.f32 2 u)) n0_i))
(-.f32 (+.f32 (-.f32 n0_i (.f32 (-.f32 1 u) 0)) (-.f32 n0_i (.f32 (-.f32 1 u) 0))) (+.f32 (-.f32 n0_i (.f32 (-.f32 1 u) 0)) (.f32 u n0_i)))
(-.f32 (+.f32 (-.f32 (+.f32 n0_i n0_i) (.f32 (-.f32 1 u) 0)) (-.f32 (+.f32 n0_i n0_i) (.f32 (-.f32 1 u) 0))) (+.f32 (-.f32 (+.f32 n0_i n0_i) (.f32 (-.f32 1 u) 0)) (.f32 n0_i (+.f32 u 1))))
(-.f32 (+.f32 (.f32 0 (+.f32 u -1)) (.f32 0 (+.f32 u -1))) (+.f32 (.f32 0 (+.f32 u -1)) (-.f32 (.f32 u n0_i) n0_i)))
(-.f32 (+.f32 (.f32 u (neg.f32 n0_i)) (.f32 u (neg.f32 n0_i))) (+.f32 (*.f32 u (neg.f32 n0_i)) (neg.f32 n0_i)))
(-.f32 (+.f32 (.f32 0 (neg.f32 n0_i)) (.f32 0 (neg.f32 n0_i))) (+.f32 (.f32 0 (neg.f32 n0_i)) (-.f32 (.f32 u n0_i) n0_i)))
(-.f32 (+.f32 (.f32 (+.f32 u 1) (neg.f32 n0_i)) (.f32 (+.f32 u 1) (neg.f32 n0_i))) (+.f32 (.f32 (+.f32 u 1) (neg.f32 n0_i)) (.f32 2 (neg.f32 n0_i))))
(-.f32 (+.f32 (.f32 (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) 2) (.f32 (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) 2)) (+.f32 (.f32 (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) 2) (.f32 (-.f32 1 u) (.f32 n0_i 3))))
(/.f32 1 (/.f32 1 (-.f32 n0_i (*.f32 u n0_i))))
(/.f32 (-.f32 1 u) (/.f32 1 n0_i))
(/.f32 n0_i (/.f32 1 (-.f32 1 u)))
(/.f32 (-.f32 n0_i (*.f32 u n0_i)) 1)
(/.f32 1/2 (/.f32 (/.f32 1/2 n0_i) (-.f32 1 u)))
(/.f32 1/2 (/.f32 (/.f32 1 (*.f32 (+.f32 u -1) -2)) n0_i))
(/.f32 (+.f32 u -1) (neg.f32 (/.f32 1 n0_i)))
(/.f32 (+.f32 u -1) (/.f32 -1 n0_i))
(/.f32 (-.f32 (*.f32 u n0_i) n0_i) -1)
(/.f32 (neg.f32 n0_i) (neg.f32 (/.f32 1 (-.f32 1 u))))
(/.f32 (neg.f32 n0_i) (/.f32 -1 (-.f32 1 u)))
(/.f32 (-.f32 (neg.f32 n0_i) (*.f32 u (neg.f32 n0_i))) -1)
(/.f32 (-.f32 (+.f32 u 1) (+.f32 u u)) (/.f32 1 n0_i))
(/.f32 (-.f32 (+.f32 u 3) (*.f32 (+.f32 u 1) 2)) (/.f32 1 n0_i))
(neg.f32 (-.f32 (*.f32 u n0_i) n0_i))
(-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0)
(-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 n1_i n1_i))
(-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 u u))
(-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0))
(-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (-.f32 1 u) 0))
(-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 n0_i n0_i))
(-.f32 0 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 n1_i n1_i)))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 u u)))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (-.f32 1 u) 0)))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 n0_i n0_i)))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(-.f32 (+.f32 (.f32 n1_i u) (+.f32 n0_i n0_i)) (.f32 n0_i (+.f32 u 1)))
(-.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) (+.f32 n0_i n0_i))) (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u (+.f32 n1_i n1_i))) (*.f32 n1_i u))
(-.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) 2) (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 3))
(-.f32 (+.f32 (+.f32 (.f32 n1_i u) n0_i) (+.f32 (.f32 n1_i u) n0_i)) (+.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i)))
(-.f32 (+.f32 (+.f32 (.f32 n1_i u) (+.f32 n0_i n0_i)) (+.f32 (.f32 n1_i u) (+.f32 n0_i n0_i))) (+.f32 (+.f32 (.f32 n1_i u) (+.f32 n0_i n0_i)) (.f32 n0_i (+.f32 u 1))))
(-.f32 (+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) (+.f32 n0_i n0_i))) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)))) (+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) (+.f32 n0_i n0_i))) (-.f32 n0_i (*.f32 u n0_i))))
(-.f32 (+.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u (+.f32 n1_i n1_i))) (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u (+.f32 n1_i n1_i)))) (+.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u (+.f32 n1_i n1_i))) (*.f32 n1_i u)))
(-.f32 (+.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) 2) (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) 2)) (+.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) 2) (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 3)))
(.f32 1 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))
(.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 1)
(.f32 2 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 1/2))
(.f32 1/2 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2))
(.f32 1/2 (+.f32 (.f32 u (+.f32 n1_i n1_i)) (*.f32 (-.f32 1 u) (+.f32 n0_i n0_i))))
(.f32 1/2 (+.f32 (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) (*.f32 u (+.f32 n1_i n1_i))))
(.f32 -1 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))))
(.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) -1)
(.f32 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) 1/2)
(.f32 -1/2 (neg.f32 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2)))
(.f32 (neg.f32 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2)) -1/2)
(.f32 (+.f32 (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u))) (+.f32 (-.f32 (.f32 u n0_i) n0_i) (*.f32 n1_i (neg.f32 u)))) -1/2)
(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 1)
(/.f32 1/2 (/.f32 1 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)))
(/.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) -1)
(/.f32 (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u))) -1)
(/.f32 (-.f32 (neg.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)) (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u)))) -1)
(/.f32 (+.f32 (neg.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) -1)
(neg.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(neg.f32 (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u))))

Outputs
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
(.f32 (.f32 n0_i normAngle) (/.f32 (-.f32 1 u) (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 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 u (.f32 n1_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)) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 u (.f32 n1_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)) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 u (.f32 n1_i 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 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
(+.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)) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 u (.f32 n1_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)) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 u (.f32 n1_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)) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 u (.f32 n1_i 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 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
(+.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)) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 u (.f32 n1_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)) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 u (.f32 n1_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)) (.f32 n1_i (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 u (.f32 n1_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 n1_i (.f32 -1 n0_i)) (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 (*.f32 u normAngle) (+.f32 n1_i (neg.f32 n0_i)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 u (.f32 (+.f32 n1_i (neg.f32 n0_i)) normAngle)) (*.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 (*.f32 u normAngle) (+.f32 n1_i (neg.f32 n0_i)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 u (.f32 (+.f32 n1_i (neg.f32 n0_i)) normAngle)) (*.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 (*.f32 u normAngle) (+.f32 n1_i (neg.f32 n0_i)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 u (.f32 (+.f32 n1_i (neg.f32 n0_i)) normAngle)) (*.f32 n0_i normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) (*.f32 u normAngle)) (sin.f32 normAngle))
(.f32 (.f32 u normAngle) (/.f32 (+.f32 n1_i (neg.f32 n0_i)) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 (*.f32 u normAngle) (+.f32 n1_i (neg.f32 n0_i)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 u (.f32 (+.f32 n1_i (neg.f32 n0_i)) normAngle)) (*.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 (*.f32 u normAngle) (+.f32 n1_i (neg.f32 n0_i)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 u (.f32 (+.f32 n1_i (neg.f32 n0_i)) normAngle)) (*.f32 n0_i normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) (.f32 u normAngle)) (sin.f32 normAngle)))
(/.f32 (+.f32 (.f32 n0_i normAngle) (.f32 (*.f32 u normAngle) (+.f32 n1_i (neg.f32 n0_i)))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 u (.f32 (+.f32 n1_i (neg.f32 n0_i)) normAngle)) (*.f32 n0_i normAngle)) (sin.f32 normAngle))
(.f32 -1 (/.f32 (.f32 u (.f32 (+.f32 (.f32 -1 n1_i) n0_i) normAngle)) (sin.f32 normAngle)))
(.f32 -1 (.f32 (.f32 normAngle (+.f32 n0_i (.f32 n1_i -1))) (/.f32 u (sin.f32 normAngle))))
(/.f32 (.f32 normAngle (.f32 u (+.f32 n0_i (neg.f32 n1_i)))) (neg.f32 (sin.f32 normAngle)))
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(.f32 1/2 (+.f32 (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) (*.f32 u (+.f32 n1_i n1_i))))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (*.f32 u (+.f32 n1_i n1_i)) 1/2))
(.f32 1/2 (+.f32 (.f32 (-.f32 1 u) (+.f32 n0_i n0_i)) (*.f32 u (+.f32 n1_i n1_i))))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 (*.f32 u (+.f32 n1_i n1_i)) 1/2))
(.f32 -1 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))))
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) -1)
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) 1/2)
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 -1/2 (neg.f32 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2)))
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (neg.f32 (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2)) -1/2)
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (+.f32 (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u))) (+.f32 (-.f32 (.f32 u n0_i) n0_i) (*.f32 n1_i (neg.f32 u)))) -1/2)
(neg.f32 (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u))))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (neg.f32 (.f32 n1_i (neg.f32 u))))
(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 1)
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 1/2 (/.f32 1 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)))
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) -1)
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u))) -1)
(neg.f32 (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u))))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (neg.f32 (.f32 n1_i (neg.f32 u))))
(/.f32 (-.f32 (neg.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)) (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u)))) -1)
(neg.f32 (-.f32 (neg.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))) (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u)))))
(-.f32 (+.f32 (.f32 u n0_i) (-.f32 (.f32 n1_i (neg.f32 u)) n0_i)) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) -2))
(/.f32 (+.f32 (neg.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2)) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) -1)
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(neg.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(neg.f32 (+.f32 (-.f32 (.f32 u n0_i) n0_i) (.f32 n1_i (neg.f32 u))))
(+.f32 (-.f32 n0_i (.f32 u n0_i)) (neg.f32 (.f32 n1_i (neg.f32 u))))

localize84.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 u normAngle)
✓	0.0b	(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i)
✓	0.1b	(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	1.6b	(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))

Compiler

Compiled 44 to 10 computations (77.3% saved)

series36.0ms (0.2%)

Counts

3 → 84

Calls

27 calls:

Time	Variable		Point	Expression
29.0ms	normAngle	@	0	(*.f32 u normAngle)
1.0ms	normAngle	@	0	(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
0.0ms	normAngle	@	-inf	(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
0.0ms	normAngle	@	inf	(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
0.0ms	u	@	-inf	(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))

rewrite86.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1184×	`rational.json-simplify-6`
972×	`rational.json-simplify-3`
792×	`rational.json-simplify-12`
788×	`rational.json-simplify-2`
760×	`rational.json-simplify-13`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	74	67
2	243	67
3	1296	67

Stop Event

1×	node limit

Counts

3 → 286

Calls

Call 1

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

Outputs

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

simplify125.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1286×	`rational.json-simplify-3`
1092×	`rational.json-simplify-12`
1088×	`rational.json-simplify-2`
812×	`rational.json-simplify-1`
804×	`rational.json-simplify-5`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	646	16236
1	2414	15734

Stop Event

1×	node limit

Counts

370 → 481

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)))
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)))
(+.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 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 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/5040 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))) (sin.f32 normAngle))) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 5) (pow.f32 normAngle 5))) (sin.f32 normAngle))))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
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(/.f32 (-.f32 (neg.f32 (sin.f32 (.f32 u normAngle))) (sin.f32 (.f32 u normAngle))) (.f32 -1 (.f32 (/.f32 1 n1_i) (*.f32 (sin.f32 normAngle) 2))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (/.f32 n1_i 2) (.f32 (sin.f32 normAngle) (/.f32 1/2 (sin.f32 (.f32 u normAngle)))))
(/.f32 (/.f32 (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) 2)) (/.f32 1 n1_i)) (/.f32 (sin.f32 normAngle) -1/2))
(/.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 u normAngle))))
(/.f32 (/.f32 n1_i 1/2) (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (.f32 u normAngle)) 1/2)))
(/.f32 (/.f32 1 (/.f32 (sin.f32 normAngle) n1_i)) (/.f32 1 (sin.f32 (*.f32 u normAngle))))
(/.f32 (/.f32 (-.f32 (neg.f32 (sin.f32 (.f32 u normAngle))) (sin.f32 (.f32 u normAngle))) (.f32 (/.f32 1 n1_i) (.f32 (sin.f32 normAngle) 2))) -1)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) 1/2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (-.f32 0 (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (-.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle))) -1/2)
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 1/2) (/.f32 (sin.f32 normAngle) 1/4))
(/.f32 (-.f32 (-.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i))) -1)
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)))
(+.f32 (*.f32 u normAngle) 0)
(+.f32 (*.f32 u normAngle) (-.f32 u u))
(+.f32 (*.f32 u normAngle) (-.f32 normAngle normAngle))
(+.f32 (.f32 u normAngle) (-.f32 (.f32 u normAngle) (*.f32 u normAngle)))
(+.f32 (*.f32 u normAngle) (-.f32 (-.f32 normAngle normAngle) (-.f32 u u)))
(+.f32 (*.f32 u normAngle) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle)))
(+.f32 (.f32 u normAngle) (+.f32 0 (-.f32 (.f32 u normAngle) (*.f32 u normAngle))))
(+.f32 (*.f32 u normAngle) (+.f32 0 (-.f32 (-.f32 normAngle normAngle) (-.f32 u u))))
(+.f32 (*.f32 u normAngle) (+.f32 0 (-.f32 (-.f32 u u) (-.f32 normAngle normAngle))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 u u) (-.f32 normAngle normAngle)))
(+.f32 (.f32 u normAngle) (+.f32 (-.f32 u u) (-.f32 (.f32 u normAngle) (*.f32 u normAngle))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 u u) (-.f32 (-.f32 normAngle normAngle) (-.f32 u u))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 u u) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 normAngle normAngle) (-.f32 u u)))
(+.f32 (.f32 u normAngle) (+.f32 (-.f32 normAngle normAngle) (-.f32 (.f32 u normAngle) (*.f32 u normAngle))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 normAngle normAngle) (-.f32 (-.f32 normAngle normAngle) (-.f32 u u))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 normAngle normAngle) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle))))
(+.f32 (.f32 u normAngle) (.f32 u (-.f32 normAngle normAngle)))
(+.f32 (.f32 u normAngle) (.f32 normAngle (-.f32 u u)))
(+.f32 (.f32 u normAngle) (.f32 1 (-.f32 (.f32 u normAngle) (.f32 u normAngle))))
(+.f32 (.f32 u normAngle) (.f32 1 (-.f32 (-.f32 normAngle normAngle) (-.f32 u u))))
(+.f32 (.f32 u normAngle) (.f32 1 (-.f32 (-.f32 u u) (-.f32 normAngle normAngle))))
(+.f32 (.f32 u normAngle) (.f32 1/2 (-.f32 (.f32 u normAngle) (.f32 u normAngle))))
(+.f32 0 (*.f32 u normAngle))
(+.f32 (neg.f32 (.f32 u normAngle)) (.f32 u (+.f32 normAngle normAngle)))
(+.f32 (-.f32 u u) (*.f32 u normAngle))
(+.f32 (-.f32 normAngle normAngle) (*.f32 u normAngle))
(+.f32 (.f32 u (+.f32 normAngle normAngle)) (neg.f32 (.f32 u normAngle)))
(+.f32 (-.f32 (.f32 u normAngle) (.f32 u normAngle)) (*.f32 u normAngle))
(+.f32 (-.f32 (-.f32 normAngle normAngle) (-.f32 u u)) (*.f32 u normAngle))
(+.f32 (-.f32 (-.f32 u u) (-.f32 normAngle normAngle)) (*.f32 u normAngle))
(+.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (-.f32 0 (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle)))))
(+.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (-.f32 (-.f32 u u) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle)))))
(+.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (-.f32 (-.f32 normAngle normAngle) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle)))))
(+.f32 (.f32 (.f32 u normAngle) 1/2) (.f32 1/2 (.f32 u normAngle)))
(-.f32 (*.f32 u normAngle) 0)
(-.f32 (*.f32 u normAngle) (-.f32 u u))
(-.f32 (*.f32 u normAngle) (-.f32 normAngle normAngle))
(-.f32 (.f32 u normAngle) (-.f32 (.f32 u normAngle) (*.f32 u normAngle)))
(-.f32 (*.f32 u normAngle) (-.f32 (-.f32 normAngle normAngle) (-.f32 u u)))
(-.f32 (*.f32 u normAngle) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle)))
(-.f32 (*.f32 u normAngle) (/.f32 0 (neg.f32 (/.f32 1 normAngle))))
(-.f32 (*.f32 u normAngle) (/.f32 0 (neg.f32 (/.f32 1 u))))
(-.f32 0 (neg.f32 (*.f32 u normAngle)))
(-.f32 (neg.f32 (.f32 u normAngle)) (-.f32 0 (.f32 u (+.f32 normAngle normAngle))))
(-.f32 (neg.f32 (.f32 u normAngle)) (-.f32 (-.f32 u u) (.f32 u (+.f32 normAngle normAngle))))
(-.f32 (neg.f32 (.f32 u normAngle)) (-.f32 (-.f32 normAngle normAngle) (.f32 u (+.f32 normAngle normAngle))))
(-.f32 (neg.f32 (*.f32 u normAngle)) (/.f32 (+.f32 u u) (neg.f32 (/.f32 1 normAngle))))
(-.f32 (neg.f32 (*.f32 u normAngle)) (/.f32 (+.f32 normAngle normAngle) (neg.f32 (/.f32 1 u))))
(-.f32 (neg.f32 (.f32 u normAngle)) (/.f32 (.f32 u (+.f32 normAngle normAngle)) -1))
(-.f32 (-.f32 u u) (neg.f32 (*.f32 u normAngle)))
(-.f32 (-.f32 normAngle normAngle) (neg.f32 (*.f32 u normAngle)))
(-.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u normAngle))
(-.f32 (-.f32 (.f32 u normAngle) (.f32 u normAngle)) (neg.f32 (*.f32 u normAngle)))
(-.f32 (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))) (*.f32 u (+.f32 normAngle normAngle)))
(-.f32 (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))) (-.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (*.f32 u (+.f32 normAngle normAngle))))
(-.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))))
(-.f32 (+.f32 (-.f32 u u) (-.f32 normAngle normAngle)) (neg.f32 (*.f32 u normAngle)))
(-.f32 (+.f32 (-.f32 normAngle normAngle) (-.f32 u u)) (neg.f32 (*.f32 u normAngle)))
(-.f32 (+.f32 (-.f32 u u) (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle)))) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))))
(-.f32 (+.f32 (-.f32 normAngle normAngle) (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle)))) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))))
(-.f32 (/.f32 (+.f32 (+.f32 u u) (+.f32 u u)) (/.f32 1 normAngle)) (/.f32 (+.f32 u (+.f32 u u)) (/.f32 1 normAngle)))
(-.f32 (/.f32 (+.f32 (+.f32 normAngle normAngle) (+.f32 normAngle normAngle)) (/.f32 1 u)) (/.f32 (+.f32 normAngle (+.f32 normAngle normAngle)) (/.f32 1 u)))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 normAngle))) (neg.f32 (*.f32 u normAngle)))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 u))) (neg.f32 (*.f32 u normAngle)))
(/.f32 u (/.f32 1 normAngle))
(/.f32 u (*.f32 -1 (neg.f32 (/.f32 1 normAngle))))
(/.f32 u (neg.f32 (neg.f32 (/.f32 1 normAngle))))
(/.f32 normAngle (/.f32 1 u))
(/.f32 normAngle (*.f32 -1 (neg.f32 (/.f32 1 u))))
(/.f32 normAngle (neg.f32 (neg.f32 (/.f32 1 u))))
(/.f32 (*.f32 u normAngle) 1)
(/.f32 1 (/.f32 1 (*.f32 u normAngle)))
(/.f32 1/2 (/.f32 (/.f32 1/2 normAngle) u))
(/.f32 1/2 (/.f32 (/.f32 1/2 u) normAngle))
(/.f32 (neg.f32 u) (neg.f32 (/.f32 1 normAngle)))
(/.f32 (neg.f32 u) (/.f32 -1 normAngle))
(/.f32 (neg.f32 normAngle) (neg.f32 (/.f32 1 u)))
(/.f32 (neg.f32 normAngle) (/.f32 -1 u))
(/.f32 (neg.f32 (*.f32 u normAngle)) -1)
(/.f32 (/.f32 normAngle 2) (/.f32 1/2 u))
(/.f32 (*.f32 1/2 u) (/.f32 1/2 normAngle))
(/.f32 (-.f32 (-.f32 (neg.f32 (.f32 u normAngle)) (.f32 u normAngle)) (neg.f32 (*.f32 u normAngle))) -1)
(neg.f32 (neg.f32 (*.f32 u 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 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 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 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 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 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 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 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 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 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
n0_i
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)))
(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (sin.f32 normAngle))) n0_i))
(+.f32 (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)) (+.f32 n0_i (.f32 -1/6 (.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (/.f32 n1_i (sin.f32 normAngle))))))
(+.f32 (+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))) (.f32 -1/6 (.f32 (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (/.f32 n1_i (sin.f32 normAngle)))))
(+.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 (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (/.f32 n1_i (sin.f32 normAngle)))) (+.f32 (.f32 1/120 (.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (/.f32 n1_i (sin.f32 normAngle)))) n0_i)))
(+.f32 (.f32 -1/6 (.f32 (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)) (/.f32 n1_i (sin.f32 normAngle)))) (+.f32 (.f32 1/120 (.f32 (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)) (/.f32 n1_i (sin.f32 normAngle)))) (+.f32 n0_i (.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 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 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 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 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 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 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 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 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 u n1_i) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u))) (pow.f32 normAngle 2)) n0_i))
(+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 (-.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (.f32 u (.f32 -1/6 n1_i))) (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 (.f32 n1_i u) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u))) (pow.f32 normAngle 2)) (+.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u)))) (.f32 n1_i (.f32 1/120 u)))) (pow.f32 normAngle 4))))
(+.f32 (+.f32 n0_i (+.f32 (.f32 u n1_i) (.f32 (-.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) (.f32 u (.f32 -1/6 n1_i))) (pow.f32 normAngle 2)))) (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (-.f32 (.f32 (.f32 n1_i (.f32 -1/6 (pow.f32 u 3))) -1/6) (.f32 (.f32 u n1_i) 1/36)) (.f32 u (.f32 1/120 n1_i)))) (pow.f32 normAngle 4)))
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(/.f32 (-.f32 (neg.f32 (sin.f32 (.f32 u normAngle))) (sin.f32 (.f32 u normAngle))) (.f32 (/.f32 1 n1_i) (.f32 (sin.f32 normAngle) -2)))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) 1/2) (*.f32 (sin.f32 normAngle) 2))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (-.f32 0 (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 0 (sin.f32 normAngle)))
(/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) 0) (sin.f32 normAngle))
(/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) 0) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (neg.f32 (sin.f32 normAngle)))
(-.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 0 (sin.f32 normAngle))))
(/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (.f32 u normAngle)) 0)) (sin.f32 normAngle))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (-.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle))) -1/2)
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (*.f32 (-.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)) -1/2))
(/.f32 (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) 1/2) (/.f32 (sin.f32 normAngle) 1/4))
(.f32 (.f32 (+.f32 n1_i n1_i) (/.f32 (sin.f32 (*.f32 u normAngle)) 1/2)) (/.f32 1/4 (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 n1_i n1_i)) (*.f32 1/2 (/.f32 (sin.f32 normAngle) 1/4)))
(/.f32 (-.f32 (-.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i))) -1)
(neg.f32 (-.f32 (-.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i))))
(-.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) -1)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(neg.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (neg.f32 n1_i)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (*.f32 u normAngle) 0)
(*.f32 u normAngle)
(+.f32 (*.f32 u normAngle) (-.f32 u u))
(+.f32 (*.f32 u normAngle) (-.f32 normAngle normAngle))
(+.f32 normAngle (-.f32 (*.f32 u normAngle) normAngle))
(+.f32 (.f32 u normAngle) (-.f32 (.f32 u normAngle) (*.f32 u normAngle)))
(*.f32 u normAngle)
(+.f32 (*.f32 u normAngle) (-.f32 (-.f32 normAngle normAngle) (-.f32 u u)))
(+.f32 (*.f32 u normAngle) (-.f32 u (-.f32 u (-.f32 normAngle normAngle))))
(+.f32 normAngle (-.f32 (-.f32 (*.f32 u normAngle) normAngle) (-.f32 u u)))
(+.f32 (*.f32 u normAngle) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle)))
(+.f32 (-.f32 u (-.f32 normAngle normAngle)) (-.f32 (*.f32 u normAngle) u))
(+.f32 (.f32 u normAngle) (+.f32 0 (-.f32 (.f32 u normAngle) (*.f32 u normAngle))))
(*.f32 u normAngle)
(+.f32 (*.f32 u normAngle) (+.f32 0 (-.f32 (-.f32 normAngle normAngle) (-.f32 u u))))
(+.f32 (*.f32 u normAngle) (-.f32 u (-.f32 u (-.f32 normAngle normAngle))))
(+.f32 normAngle (-.f32 (-.f32 (*.f32 u normAngle) normAngle) (-.f32 u u)))
(+.f32 (*.f32 u normAngle) (+.f32 0 (-.f32 (-.f32 u u) (-.f32 normAngle normAngle))))
(+.f32 (*.f32 u normAngle) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle)))
(+.f32 (-.f32 u (-.f32 normAngle normAngle)) (-.f32 (*.f32 u normAngle) u))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 u u) (-.f32 normAngle normAngle)))
(+.f32 (*.f32 u normAngle) (+.f32 normAngle (-.f32 (-.f32 u u) normAngle)))
(+.f32 u (+.f32 (-.f32 normAngle normAngle) (-.f32 (*.f32 u normAngle) u)))
(+.f32 (.f32 u normAngle) (+.f32 (-.f32 u u) (-.f32 (.f32 u normAngle) (*.f32 u normAngle))))
(+.f32 (*.f32 u normAngle) (-.f32 u u))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 u u) (-.f32 (-.f32 normAngle normAngle) (-.f32 u u))))
(+.f32 (*.f32 u normAngle) (-.f32 (+.f32 normAngle (-.f32 (-.f32 u u) normAngle)) (-.f32 u u)))
(+.f32 (-.f32 normAngle normAngle) (+.f32 (-.f32 u u) (-.f32 (*.f32 u normAngle) (-.f32 u u))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 u u) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle))))
(+.f32 (*.f32 u normAngle) (-.f32 (+.f32 (-.f32 u u) (-.f32 u u)) (-.f32 normAngle normAngle)))
(+.f32 (*.f32 u normAngle) (-.f32 normAngle (-.f32 normAngle (+.f32 (-.f32 u u) (-.f32 u u)))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 normAngle normAngle) (-.f32 u u)))
(+.f32 (*.f32 u normAngle) (+.f32 normAngle (-.f32 (-.f32 u u) normAngle)))
(+.f32 u (+.f32 (-.f32 normAngle normAngle) (-.f32 (*.f32 u normAngle) u)))
(+.f32 (.f32 u normAngle) (+.f32 (-.f32 normAngle normAngle) (-.f32 (.f32 u normAngle) (*.f32 u normAngle))))
(+.f32 (*.f32 u normAngle) (-.f32 normAngle normAngle))
(+.f32 normAngle (-.f32 (*.f32 u normAngle) normAngle))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 normAngle normAngle) (-.f32 (-.f32 normAngle normAngle) (-.f32 u u))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 normAngle normAngle) (-.f32 u (-.f32 u (-.f32 normAngle normAngle)))))
(+.f32 (-.f32 normAngle normAngle) (+.f32 normAngle (-.f32 (-.f32 (*.f32 u normAngle) normAngle) (-.f32 u u))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 normAngle normAngle) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle))))
(+.f32 (*.f32 u normAngle) (+.f32 (-.f32 u u) (-.f32 (-.f32 normAngle normAngle) (-.f32 normAngle normAngle))))
(+.f32 (*.f32 u normAngle) (+.f32 normAngle (-.f32 (-.f32 normAngle normAngle) (-.f32 u (-.f32 u normAngle)))))
(+.f32 (.f32 u normAngle) (.f32 u (-.f32 normAngle normAngle)))
(*.f32 u normAngle)
(+.f32 (.f32 u normAngle) (.f32 normAngle (-.f32 u u)))
(*.f32 u normAngle)
(+.f32 (.f32 u normAngle) (.f32 1 (-.f32 (.f32 u normAngle) (.f32 u normAngle))))
(*.f32 u normAngle)
(+.f32 (.f32 u normAngle) (.f32 1 (-.f32 (-.f32 normAngle normAngle) (-.f32 u u))))
(+.f32 (*.f32 u normAngle) (-.f32 u (-.f32 u (-.f32 normAngle normAngle))))
(+.f32 normAngle (-.f32 (-.f32 (*.f32 u normAngle) normAngle) (-.f32 u u)))
(+.f32 (.f32 u normAngle) (.f32 1 (-.f32 (-.f32 u u) (-.f32 normAngle normAngle))))
(+.f32 (*.f32 u normAngle) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle)))
(+.f32 (-.f32 u (-.f32 normAngle normAngle)) (-.f32 (*.f32 u normAngle) u))
(+.f32 (.f32 u normAngle) (.f32 1/2 (-.f32 (.f32 u normAngle) (.f32 u normAngle))))
(+.f32 (.f32 u normAngle) (.f32 1/2 (*.f32 u (-.f32 normAngle normAngle))))
(+.f32 (.f32 u normAngle) (.f32 normAngle (*.f32 1/2 (-.f32 u u))))
(+.f32 0 (*.f32 u normAngle))
(*.f32 u normAngle)
(+.f32 (neg.f32 (.f32 u normAngle)) (.f32 u (+.f32 normAngle normAngle)))
(*.f32 u normAngle)
(+.f32 (-.f32 u u) (*.f32 u normAngle))
(+.f32 (*.f32 u normAngle) (-.f32 u u))
(+.f32 (-.f32 normAngle normAngle) (*.f32 u normAngle))
(+.f32 (*.f32 u normAngle) (-.f32 normAngle normAngle))
(+.f32 normAngle (-.f32 (*.f32 u normAngle) normAngle))
(+.f32 (.f32 u (+.f32 normAngle normAngle)) (neg.f32 (.f32 u normAngle)))
(*.f32 u normAngle)
(+.f32 (-.f32 (.f32 u normAngle) (.f32 u normAngle)) (*.f32 u normAngle))
(*.f32 u normAngle)
(+.f32 (-.f32 (-.f32 normAngle normAngle) (-.f32 u u)) (*.f32 u normAngle))
(+.f32 (*.f32 u normAngle) (-.f32 u (-.f32 u (-.f32 normAngle normAngle))))
(+.f32 normAngle (-.f32 (-.f32 (*.f32 u normAngle) normAngle) (-.f32 u u)))
(+.f32 (-.f32 (-.f32 u u) (-.f32 normAngle normAngle)) (*.f32 u normAngle))
(+.f32 (*.f32 u normAngle) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle)))
(+.f32 (-.f32 u (-.f32 normAngle normAngle)) (-.f32 (*.f32 u normAngle) u))
(+.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (-.f32 0 (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle)))))
(*.f32 u normAngle)
(+.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (-.f32 (-.f32 u u) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle)))))
(+.f32 (*.f32 u normAngle) (-.f32 u u))
(+.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (-.f32 (-.f32 normAngle normAngle) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle)))))
(+.f32 (*.f32 u normAngle) (-.f32 normAngle normAngle))
(+.f32 normAngle (-.f32 (*.f32 u normAngle) normAngle))
(+.f32 (.f32 (.f32 u normAngle) 1/2) (.f32 1/2 (.f32 u normAngle)))
(.f32 1/2 (.f32 u (+.f32 normAngle normAngle)))
(.f32 (+.f32 normAngle normAngle) (.f32 u 1/2))
(-.f32 (*.f32 u normAngle) 0)
(*.f32 u normAngle)
(-.f32 (*.f32 u normAngle) (-.f32 u u))
(-.f32 (*.f32 u normAngle) (-.f32 normAngle normAngle))
(-.f32 (.f32 u normAngle) (-.f32 (.f32 u normAngle) (*.f32 u normAngle)))
(*.f32 u normAngle)
(-.f32 (*.f32 u normAngle) (-.f32 (-.f32 normAngle normAngle) (-.f32 u u)))
(-.f32 (*.f32 u normAngle) (-.f32 u (-.f32 u (-.f32 normAngle normAngle))))
(-.f32 normAngle (-.f32 (-.f32 u (-.f32 u normAngle)) (*.f32 u normAngle)))
(-.f32 (*.f32 u normAngle) (-.f32 (-.f32 u u) (-.f32 normAngle normAngle)))
(-.f32 (-.f32 normAngle normAngle) (-.f32 (-.f32 u u) (*.f32 u normAngle)))
(-.f32 (*.f32 u normAngle) (/.f32 0 (neg.f32 (/.f32 1 normAngle))))
(-.f32 (.f32 u normAngle) (.f32 0 (/.f32 normAngle -2)))
(-.f32 (*.f32 u normAngle) (/.f32 0 (neg.f32 (/.f32 1 u))))
(-.f32 (*.f32 u normAngle) (/.f32 0 (/.f32 -1 u)))
(-.f32 0 (neg.f32 (*.f32 u normAngle)))
(*.f32 u normAngle)
(-.f32 (neg.f32 (.f32 u normAngle)) (-.f32 0 (.f32 u (+.f32 normAngle normAngle))))
(*.f32 u normAngle)
(-.f32 (neg.f32 (.f32 u normAngle)) (-.f32 (-.f32 u u) (.f32 u (+.f32 normAngle normAngle))))
(-.f32 u (-.f32 (-.f32 u (.f32 u (+.f32 normAngle normAngle))) (neg.f32 (.f32 u normAngle))))
(-.f32 (neg.f32 (.f32 u normAngle)) (-.f32 (-.f32 normAngle normAngle) (.f32 u (+.f32 normAngle normAngle))))
(-.f32 (.f32 u (+.f32 normAngle normAngle)) (-.f32 (-.f32 normAngle normAngle) (neg.f32 (.f32 u normAngle))))
(-.f32 (neg.f32 (*.f32 u normAngle)) (/.f32 (+.f32 u u) (neg.f32 (/.f32 1 normAngle))))
(*.f32 u normAngle)
(-.f32 (neg.f32 (*.f32 u normAngle)) (/.f32 (+.f32 normAngle normAngle) (neg.f32 (/.f32 1 u))))
(*.f32 u normAngle)
(-.f32 (neg.f32 (.f32 u normAngle)) (/.f32 (.f32 u (+.f32 normAngle normAngle)) -1))
(*.f32 u normAngle)
(-.f32 (-.f32 u u) (neg.f32 (*.f32 u normAngle)))
(-.f32 (*.f32 u normAngle) (neg.f32 (-.f32 u u)))
(-.f32 (-.f32 normAngle normAngle) (neg.f32 (*.f32 u normAngle)))
(-.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u normAngle))
(*.f32 u normAngle)
(-.f32 (-.f32 (.f32 u normAngle) (.f32 u normAngle)) (neg.f32 (*.f32 u normAngle)))
(*.f32 u normAngle)
(-.f32 (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))) (*.f32 u (+.f32 normAngle normAngle)))
(*.f32 u normAngle)
(-.f32 (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))) (-.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (*.f32 u (+.f32 normAngle normAngle))))
(*.f32 u normAngle)
(-.f32 (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle))) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))))
(*.f32 u normAngle)
(-.f32 (+.f32 (-.f32 u u) (-.f32 normAngle normAngle)) (neg.f32 (*.f32 u normAngle)))
(+.f32 (-.f32 u u) (-.f32 (-.f32 normAngle normAngle) (neg.f32 (*.f32 u normAngle))))
(-.f32 (+.f32 (-.f32 normAngle normAngle) (-.f32 (*.f32 u normAngle) (neg.f32 u))) u)
(-.f32 (+.f32 (-.f32 normAngle normAngle) (-.f32 u u)) (neg.f32 (*.f32 u normAngle)))
(+.f32 (-.f32 u u) (-.f32 (-.f32 normAngle normAngle) (neg.f32 (*.f32 u normAngle))))
(-.f32 (+.f32 (-.f32 normAngle normAngle) (-.f32 (*.f32 u normAngle) (neg.f32 u))) u)
(-.f32 (+.f32 (-.f32 u u) (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle)))) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))))
(+.f32 (*.f32 u normAngle) (-.f32 u u))
(-.f32 (+.f32 (-.f32 normAngle normAngle) (+.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 u (+.f32 normAngle normAngle)))) (+.f32 (.f32 u normAngle) (.f32 u (+.f32 normAngle normAngle))))
(+.f32 (*.f32 u normAngle) (-.f32 normAngle normAngle))
(+.f32 normAngle (-.f32 (*.f32 u normAngle) normAngle))
(-.f32 (/.f32 (+.f32 (+.f32 u u) (+.f32 u u)) (/.f32 1 normAngle)) (/.f32 (+.f32 u (+.f32 u u)) (/.f32 1 normAngle)))
(/.f32 (-.f32 (+.f32 u (+.f32 u (+.f32 u u))) (+.f32 u (+.f32 u u))) (/.f32 1 normAngle))
(/.f32 normAngle (/.f32 1 (+.f32 u (-.f32 u u))))
(-.f32 (/.f32 (+.f32 (+.f32 normAngle normAngle) (+.f32 normAngle normAngle)) (/.f32 1 u)) (/.f32 (+.f32 normAngle (+.f32 normAngle normAngle)) (/.f32 1 u)))
(/.f32 (-.f32 (+.f32 normAngle (+.f32 normAngle (+.f32 normAngle normAngle))) (+.f32 normAngle (+.f32 normAngle normAngle))) (/.f32 1 u))
(/.f32 u (/.f32 1 (-.f32 (+.f32 normAngle normAngle) normAngle)))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 normAngle))) (neg.f32 (*.f32 u normAngle)))
(*.f32 u normAngle)
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 u))) (neg.f32 (*.f32 u normAngle)))
(*.f32 u normAngle)
(/.f32 u (/.f32 1 normAngle))
(*.f32 u normAngle)
(/.f32 u (*.f32 -1 (neg.f32 (/.f32 1 normAngle))))
(*.f32 u normAngle)
(/.f32 u (neg.f32 (neg.f32 (/.f32 1 normAngle))))
(*.f32 u normAngle)
(/.f32 normAngle (/.f32 1 u))
(*.f32 u normAngle)
(/.f32 normAngle (*.f32 -1 (neg.f32 (/.f32 1 u))))
(*.f32 u normAngle)
(/.f32 normAngle (neg.f32 (neg.f32 (/.f32 1 u))))
(*.f32 u normAngle)
(/.f32 (*.f32 u normAngle) 1)
(*.f32 u normAngle)
(/.f32 1 (/.f32 1 (*.f32 u normAngle)))
(*.f32 u normAngle)
(/.f32 1/2 (/.f32 (/.f32 1/2 normAngle) u))
(*.f32 u normAngle)
(/.f32 1/2 (/.f32 (/.f32 1/2 u) normAngle))
(*.f32 u normAngle)
(/.f32 (neg.f32 u) (neg.f32 (/.f32 1 normAngle)))
(*.f32 u normAngle)
(/.f32 (neg.f32 u) (/.f32 -1 normAngle))
(*.f32 u normAngle)
(/.f32 (neg.f32 normAngle) (neg.f32 (/.f32 1 u)))
(*.f32 u normAngle)
(/.f32 (neg.f32 normAngle) (/.f32 -1 u))
(*.f32 u normAngle)
(/.f32 (neg.f32 (*.f32 u normAngle)) -1)
(*.f32 u normAngle)
(/.f32 (/.f32 normAngle 2) (/.f32 1/2 u))
(*.f32 u normAngle)
(/.f32 (*.f32 1/2 u) (/.f32 1/2 normAngle))
(*.f32 u normAngle)
(/.f32 (-.f32 (-.f32 (neg.f32 (.f32 u normAngle)) (.f32 u normAngle)) (neg.f32 (*.f32 u normAngle))) -1)
(*.f32 u normAngle)
(neg.f32 (neg.f32 (*.f32 u normAngle)))
(*.f32 u normAngle)

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 34 computations (46% saved)

series3.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite46.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

954×	`rational.json-simplify-24`
912×	`rational.json-simplify-21`
880×	`rational.json-simplify-13`
856×	`rational.json-1`
856×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	45
1	93	45
2	312	45
3	1776	45

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

754×	`rational.json-simplify-63`
748×	`rational.json-simplify-1`
696×	`rational.json-simplify-24`
652×	`rational.json-simplify-21`
608×	`rational.json-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	159	4346
1	502	4292
2	2160	4050

Stop Event

1×	node limit

Counts

80 → 88

Calls

Call 1

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

Outputs
n0_i
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))) n1_i) u))
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (.f32 (.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) n1_i) u))
(+.f32 n0_i (.f32 (+.f32 (/.f32 (neg.f32 (.f32 normAngle (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle)) n1_i) u))
(+.f32 n0_i (.f32 (+.f32 (.f32 (*.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (neg.f32 (sin.f32 normAngle)))) n1_i) u))
(+.f32 (.f32 -1/2 (.f32 (pow.f32 u 2) (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 n0_i (.f32 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))) n1_i) u)))
(+.f32 n0_i (+.f32 (.f32 (pow.f32 u 2) (.f32 -1/2 (.f32 n0_i (pow.f32 normAngle 2)))) (.f32 (+.f32 (.f32 -1 (.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) n1_i) u)))
(+.f32 n0_i (+.f32 (.f32 (+.f32 (/.f32 (neg.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle)) n1_i) u) (.f32 -1/2 (.f32 n0_i (.f32 (pow.f32 u 2) (pow.f32 normAngle 2))))))
(+.f32 n0_i (+.f32 (.f32 (+.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (neg.f32 (sin.f32 normAngle)))) n1_i) u) (.f32 n0_i (.f32 -1/2 (.f32 (pow.f32 u 2) (pow.f32 normAngle 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 (+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle))) n1_i) u))))
(+.f32 (.f32 (pow.f32 u 2) (.f32 -1/2 (.f32 n0_i (pow.f32 normAngle 2)))) (+.f32 (.f32 1/6 (.f32 (.f32 n0_i (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (+.f32 n0_i (.f32 (+.f32 (.f32 -1 (.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) n1_i) u))))
(+.f32 n0_i (+.f32 (.f32 1/6 (.f32 (cos.f32 normAngle) (/.f32 (.f32 (pow.f32 u 3) (.f32 n0_i (pow.f32 normAngle 3))) (sin.f32 normAngle)))) (+.f32 (.f32 (+.f32 (/.f32 (neg.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle)) n1_i) u) (.f32 -1/2 (.f32 n0_i (.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))))))
(+.f32 n0_i (+.f32 (.f32 (pow.f32 u 3) (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (pow.f32 normAngle 3))) (/.f32 (sin.f32 normAngle) 1/6))) (+.f32 (.f32 (+.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) (/.f32 n0_i (neg.f32 (sin.f32 normAngle)))) n1_i) u) (.f32 n0_i (.f32 -1/2 (*.f32 (pow.f32 u 2) (pow.f32 normAngle 2)))))))
(*.f32 n1_i u)
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 n1_i u))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 n1_i u))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)) (*.f32 n1_i u))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))) (sin.f32 normAngle)) (.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (+.f32 1 (.f32 -1 u)))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 normAngle (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))) (sin.f32 normAngle)) (.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (+.f32 1 (.f32 -1 u)))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 normAngle (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (+.f32 1 (.f32 -1 u)) normAngle))) (sin.f32 normAngle)) (.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (+.f32 1 (.f32 -1 u)))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (+.f32 1 (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 normAngle (neg.f32 u)))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i 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 n1_i u) (*.f32 (-.f32 1 u) n0_i)))
(+.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i u)) (.f32 (pow.f32 normAngle 2) (-.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (.f32 (-.f32 1 u) (*.f32 -1/6 n0_i)))))
(+.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i 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 n0_i (-.f32 1 u)) (.f32 n1_i u)) (.f32 (pow.f32 normAngle 2) (.f32 1/6 (*.f32 n0_i (-.f32 (-.f32 1 u) (pow.f32 (-.f32 1 u) 3))))))
(+.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 n1_i u) (*.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 -1/6 n0_i)))) (+.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i u)) (.f32 (-.f32 (.f32 1/120 (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (+.f32 (.f32 (-.f32 1 u) (.f32 1/120 n0_i)) (.f32 1/6 (-.f32 (.f32 (-.f32 1 u) (.f32 -1/6 n0_i)) (.f32 -1/6 (*.f32 n0_i (pow.f32 (-.f32 1 u) 3))))))) (pow.f32 normAngle 4))))
(+.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i 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 n0_i (.f32 1/120 (pow.f32 (-.f32 1 u) 5))) (+.f32 (.f32 n0_i (.f32 1/120 (-.f32 1 u))) (.f32 1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n0_i (pow.f32 (-.f32 1 u) 3))))))) (pow.f32 normAngle 4))))
(+.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i u)) (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 1/6 (.f32 n0_i (-.f32 (-.f32 1 u) (pow.f32 (-.f32 1 u) 3))))) (.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i 1/120)) (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i 1/36)) (.f32 (.f32 n0_i (-.f32 1 u)) -7/360))) (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 n1_i u) (+.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 -1/6 n0_i)))) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n0_i (pow.f32 (-.f32 1 u) 5))) (+.f32 (.f32 (-.f32 1 u) (.f32 1/120 n0_i)) (.f32 1/6 (-.f32 (.f32 (-.f32 1 u) (.f32 -1/6 n0_i)) (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))))))) (pow.f32 normAngle 4)) (+.f32 (+.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 -1/5040 n0_i)) (+.f32 (.f32 1/6 (-.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 1/120 n0_i)) (.f32 1/6 (-.f32 (.f32 (-.f32 1 u) (.f32 -1/6 n0_i)) (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)))))) (.f32 1/120 (.f32 n0_i (pow.f32 (-.f32 1 u) 5))))) (.f32 (-.f32 (.f32 -1/6 (.f32 n0_i (pow.f32 (-.f32 1 u) 3))) (.f32 (-.f32 1 u) (.f32 -1/6 n0_i))) 1/120)))) (pow.f32 normAngle 6))) (*.f32 n1_i u))))
(+.f32 (.f32 n1_i 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 (.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 n0_i (.f32 1/120 (-.f32 1 u))) (-.f32 (.f32 1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n0_i (pow.f32 (-.f32 1 u) 3))))) (.f32 n0_i (.f32 1/120 (pow.f32 (-.f32 1 u) 5)))))) (.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 (.f32 n0_i (-.f32 1 u)) (.f32 (-.f32 (.f32 n0_i (.f32 1/120 (pow.f32 (-.f32 1 u) 5))) (+.f32 (.f32 n0_i (.f32 1/120 (-.f32 1 u))) (.f32 1/6 (.f32 -1/6 (-.f32 (.f32 n0_i (-.f32 1 u)) (*.f32 n0_i (pow.f32 (-.f32 1 u) 3))))))) (pow.f32 normAngle 4))))))
(+.f32 (+.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i u)) (.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 7) (.f32 n0_i -1/5040)) (+.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i -1/720)) (.f32 -1/6 (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i 1/36)) (.f32 (.f32 n0_i (-.f32 1 u)) -7/360)))) (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i -1/720)) (.f32 (.f32 n0_i (-.f32 1 u)) 1/840)))) (pow.f32 normAngle 6))) (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 1/6 (.f32 n0_i (-.f32 (-.f32 1 u) (pow.f32 (-.f32 1 u) 3))))) (.f32 (-.f32 (.f32 (pow.f32 (-.f32 1 u) 5) (.f32 n0_i 1/120)) (+.f32 (.f32 (pow.f32 (-.f32 1 u) 3) (.f32 n0_i 1/36)) (.f32 (.f32 n0_i (-.f32 1 u)) -7/360))) (pow.f32 normAngle 4))))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 n1_i u) (/.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
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(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) (+.f32 n0_i n0_i))) (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (.f32 n1_i u) (-.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (+.f32 n0_i n0_i)) (.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))))
(+.f32 (.f32 n1_i u) (-.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (+.f32 n0_i n0_i)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))))
(+.f32 (.f32 n1_i u) (.f32 (/.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) (sin.f32 normAngle)) (-.f32 (+.f32 n0_i n0_i) n0_i)))
(-.f32 (+.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)) 2) (.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)) 2)) (+.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i)) 2)))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(.f32 1 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)) 1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(.f32 1/2 (.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i)) 2))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(.f32 -1 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i))))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i)) 2) 1/2)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(.f32 (+.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i))) (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i)))) -1/2)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(/.f32 1 (/.f32 1 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i)) 1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(/.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(/.f32 (-.f32 (-.f32 u u) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i u) (-.f32 u u)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (-.f32 u (-.f32 u (*.f32 n1_i u))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (-.f32 u (-.f32 u (*.f32 n1_i u))))
(/.f32 (-.f32 (-.f32 n1_i n1_i) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i u) (-.f32 n1_i n1_i)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (-.f32 n1_i (-.f32 n1_i (*.f32 n1_i u))))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (-.f32 n1_i (-.f32 n1_i (*.f32 n1_i u))))
(/.f32 (-.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 0 (sin.f32 normAngle))) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (-.f32 (.f32 n1_i u) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 0 (sin.f32 normAngle)))))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (-.f32 (.f32 n1_i u) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 0 (sin.f32 normAngle)))))
(+.f32 (.f32 n1_i u) (/.f32 (-.f32 n0_i 0) (/.f32 (sin.f32 normAngle) (sin.f32 (-.f32 normAngle (.f32 normAngle u))))))
(/.f32 (-.f32 (-.f32 n0_i n0_i) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (-.f32 (*.f32 n1_i u) (-.f32 n0_i n0_i)))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (-.f32 (*.f32 n1_i u) (-.f32 n0_i n0_i)))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (-.f32 n0_i (-.f32 n0_i (*.f32 n1_i u))))
(/.f32 (-.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)) 0) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(/.f32 (-.f32 (.f32 u n1_i) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (*.f32 u n1_i) 2))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(/.f32 (-.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (+.f32 (.f32 u n1_i) (.f32 (/.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) (+.f32 n0_i n0_i)))) -1)
(+.f32 (.f32 n1_i u) (-.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (+.f32 n0_i n0_i)) (.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)))))
(+.f32 (.f32 n1_i u) (-.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle)) (+.f32 n0_i n0_i)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle)))))
(+.f32 (.f32 n1_i u) (.f32 (/.f32 (sin.f32 (-.f32 normAngle (*.f32 normAngle u))) (sin.f32 normAngle)) (-.f32 (+.f32 n0_i n0_i) n0_i)))
(/.f32 (-.f32 (+.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)) 2)) (+.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)) 2) (.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i)) 2))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(/.f32 (-.f32 (+.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i))) (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 u n1_i)))) (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i)))) -1)
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(neg.f32 (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 u n1_i))))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 n1_i u))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (*.f32 n0_i (neg.f32 normAngle))))
✓	0.1b	(+.f32 n0_i (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle))))
✓	0.1b	(.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle)))
✓	6.1b	(/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (*.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle))

Compiler

Compiled 87 to 14 computations (83.9% saved)

series21.0ms (0.1%)

Counts

4 → 168

Calls

42 calls:

Time	Variable		Point	Expression
4.0ms	normAngle	@	inf	(/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (*.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle))
2.0ms	u	@	0	(.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle)))
1.0ms	normAngle	@	-inf	(/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (*.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle))
1.0ms	n1_i	@	0	(/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (*.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle))
1.0ms	normAngle	@	0	(.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (neg.f32 normAngle)))) (sin.f32 normAngle)))

rewrite129.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1350×	`rational.json-1`
1350×	`rational.json-2`
1350×	`rational.json-4`
1350×	`rational.json-3`
744×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	180
1	110	180
2	459	172
3	3047	156

Stop Event

1×	node limit

Counts

4 → 267

Calls

Call 1

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

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

simplify217.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1036×	`rational.json-simplify-24`
668×	`rational.json-simplify-43`
666×	`rational.json-simplify-2`
588×	`rational.json-simplify-28`
582×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	653	24155
1	2025	19873

Stop Event

1×	node limit

Counts

435 → 419

Calls

Call 1

Inputs
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))
(+.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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.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 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
(+.f32 n1_i (*.f32 -1 n0_i))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) (pow.f32 normAngle 2)) (+.f32 n1_i (*.f32 -1 n0_i)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) (pow.f32 normAngle 2)) (+.f32 n1_i (+.f32 (.f32 (-.f32 (.f32 -1/24 n0_i) (+.f32 (.f32 1/120 (+.f32 n1_i (.f32 -1 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i))))))) (pow.f32 normAngle 4)) (*.f32 -1 n0_i))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/720 n0_i) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/24 n0_i) (+.f32 (.f32 1/120 (+.f32 n1_i (.f32 -1 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))))))) (+.f32 (.f32 1/120 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i))))) (.f32 -1/5040 (+.f32 n1_i (.f32 -1 n0_i)))))) (pow.f32 normAngle 6)) (+.f32 n1_i (+.f32 (.f32 (-.f32 (.f32 -1/24 n0_i) (+.f32 (.f32 1/120 (+.f32 n1_i (.f32 -1 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i))))))) (pow.f32 normAngle 4)) (*.f32 -1 n0_i)))))
(/.f32 (.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle) (sin.f32 normAngle))
(/.f32 (.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle) (sin.f32 normAngle))
(/.f32 (.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle) (sin.f32 normAngle))
(/.f32 (.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle) (sin.f32 normAngle))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle) (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle)) (sin.f32 normAngle))))
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(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(*.f32 n1_i normAngle)
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(.f32 (+.f32 n1_i (.f32 -1 n0_i)) normAngle)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) normAngle) (.f32 1/2 (.f32 n0_i (pow.f32 normAngle 3))))
(+.f32 (.f32 -1/24 (.f32 n0_i (pow.f32 normAngle 5))) (+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) normAngle) (.f32 1/2 (.f32 n0_i (pow.f32 normAngle 3)))))
(+.f32 (.f32 1/720 (.f32 n0_i (pow.f32 normAngle 7))) (+.f32 (.f32 -1/24 (.f32 n0_i (pow.f32 normAngle 5))) (+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) normAngle) (.f32 1/2 (.f32 n0_i (pow.f32 normAngle 3))))))
(.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle)
(.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle)
(.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle)
(.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle)
(.f32 -1 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle))
(.f32 -1 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle))
(.f32 -1 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle))
(.f32 -1 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle))
(*.f32 n1_i normAngle)
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(.f32 -1 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(.f32 -1 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
(+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (.f32 n1_i normAngle))
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(+.f32 (/.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (sin.f32 normAngle)) 0)
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(+.f32 0 (/.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (sin.f32 normAngle)))
(+.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (cos.f32 normAngle) (*.f32 normAngle (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))))
(+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
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(-.f32 (/.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (sin.f32 normAngle)) 0)
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(-.f32 (/.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (sin.f32 normAngle)) (/.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (/.f32 (sin.f32 normAngle) 0)))
(-.f32 (/.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (sin.f32 normAngle)) (neg.f32 (/.f32 0 (sin.f32 normAngle))))
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(-.f32 (/.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (sin.f32 normAngle)) (-.f32 (/.f32 0 (sin.f32 normAngle)) (/.f32 0 (sin.f32 normAngle))))
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(/.f32 (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (*.f32 normAngle (neg.f32 n1_i))) -1)
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(neg.f32 (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (*.f32 normAngle (neg.f32 n1_i))))

Outputs
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))
(.f32 -1 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(.f32 normAngle (.f32 (cos.f32 normAngle) (/.f32 n0_i (neg.f32 (sin.f32 normAngle)))))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.f32 n1_i (*.f32 -1 n0_i))
(+.f32 n1_i (neg.f32 n0_i))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) (pow.f32 normAngle 2)) (+.f32 n1_i (*.f32 -1 n0_i)))
(+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (-.f32 (.f32 n0_i 1/2) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)) (pow.f32 normAngle 2)))
(+.f32 n1_i (+.f32 (.f32 (pow.f32 normAngle 2) (-.f32 (.f32 n0_i 1/2) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6))) (neg.f32 n0_i)))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) (pow.f32 normAngle 2)) (+.f32 n1_i (+.f32 (.f32 (-.f32 (.f32 -1/24 n0_i) (+.f32 (.f32 1/120 (+.f32 n1_i (.f32 -1 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i))))))) (pow.f32 normAngle 4)) (*.f32 -1 n0_i))))
(+.f32 n1_i (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 n0_i -1/24) (+.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 1/120) (.f32 -1/6 (-.f32 (.f32 n0_i 1/2) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6))))) (pow.f32 normAngle 4)) (neg.f32 n0_i))))
(+.f32 n1_i (+.f32 (.f32 (pow.f32 normAngle 2) (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6))) (+.f32 (.f32 (-.f32 (.f32 n0_i -1/24) (+.f32 (.f32 (.f32 n0_i 1/2) -1/6) (-.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 1/120) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 1/36)))) (pow.f32 normAngle 4)) (neg.f32 n0_i))))
(+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/720 n0_i) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/24 n0_i) (+.f32 (.f32 1/120 (+.f32 n1_i (.f32 -1 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i)))))))) (+.f32 (.f32 1/120 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i))))) (.f32 -1/5040 (+.f32 n1_i (.f32 -1 n0_i)))))) (pow.f32 normAngle 6)) (+.f32 n1_i (+.f32 (.f32 (-.f32 (.f32 -1/24 n0_i) (+.f32 (.f32 1/120 (+.f32 n1_i (.f32 -1 n0_i))) (.f32 -1/6 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (+.f32 n1_i (.f32 -1 n0_i))))))) (pow.f32 normAngle 4)) (*.f32 -1 n0_i)))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)) (pow.f32 normAngle 2)) (+.f32 (+.f32 n1_i (+.f32 (.f32 (-.f32 (.f32 n0_i -1/24) (+.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 1/120) (.f32 -1/6 (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6))))) (pow.f32 normAngle 4)) (neg.f32 n0_i))) (.f32 (-.f32 (.f32 n0_i 1/720) (+.f32 (.f32 -1/6 (-.f32 (.f32 n0_i -1/24) (+.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 1/120) (.f32 -1/6 (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)))))) (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)) 1/120) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/5040)))) (pow.f32 normAngle 6))))
(+.f32 n1_i (+.f32 (.f32 (-.f32 (.f32 n0_i 1/720) (+.f32 (.f32 1/6 (-.f32 (+.f32 (.f32 (.f32 n0_i 1/2) -1/6) (-.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 1/120) (.f32 (+.f32 n1_i (neg.f32 n0_i)) 1/36))) (.f32 n0_i -1/24))) (+.f32 (.f32 (.f32 n0_i 1/2) 1/120) (-.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/5040) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/720))))) (pow.f32 normAngle 6)) (+.f32 (.f32 (pow.f32 normAngle 2) (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6))) (+.f32 (.f32 (-.f32 (.f32 n0_i -1/24) (+.f32 (.f32 (.f32 n0_i 1/2) -1/6) (-.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) 1/120) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) 1/36)))) (pow.f32 normAngle 4)) (neg.f32 n0_i)))))
(/.f32 (.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle) (sin.f32 normAngle))
(+.f32 (.f32 -1 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle) (sin.f32 normAngle))
(+.f32 (.f32 -1 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle) (sin.f32 normAngle))
(+.f32 (.f32 -1 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 n1_i (.f32 -1 (*.f32 (cos.f32 normAngle) n0_i))) normAngle) (sin.f32 normAngle))
(+.f32 (.f32 -1 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 normAngle (+.f32 (*.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i))) (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (neg.f32 normAngle)) (sin.f32 normAngle))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 normAngle (+.f32 (*.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i))) (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (neg.f32 normAngle)) (sin.f32 normAngle))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 normAngle (+.f32 (*.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i))) (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (neg.f32 normAngle)) (sin.f32 normAngle))
(.f32 -1 (/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (.f32 -1 n1_i)) normAngle) (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 normAngle (+.f32 (*.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i))) (sin.f32 normAngle)))
(/.f32 (.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (neg.f32 normAngle)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))
(.f32 -1 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(.f32 normAngle (.f32 (cos.f32 normAngle) (/.f32 n0_i (neg.f32 (sin.f32 normAngle)))))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))
(.f32 -1 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))))
(.f32 normAngle (.f32 (cos.f32 normAngle) (/.f32 n0_i (neg.f32 (sin.f32 normAngle)))))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(+.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 (.f32 (*.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle)))
(.f32 (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (/.f32 normAngle (sin.f32 normAngle)))
(/.f32 (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (*.f32 n1_i normAngle))) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (*.f32 normAngle n0_i)))) (/.f32 u (sin.f32 normAngle)))
(.f32 normAngle (.f32 (/.f32 u (sin.f32 normAngle)) (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))))
(/.f32 (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (*.f32 n1_i normAngle))) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (*.f32 normAngle n0_i)))) (/.f32 u (sin.f32 normAngle)))
(.f32 normAngle (.f32 (/.f32 u (sin.f32 normAngle)) (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))))
(/.f32 (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (*.f32 n1_i normAngle))) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (*.f32 normAngle n0_i)))) (/.f32 u (sin.f32 normAngle)))
(.f32 normAngle (.f32 (/.f32 u (sin.f32 normAngle)) (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))))
(/.f32 (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (*.f32 n1_i normAngle))) (sin.f32 normAngle))
(.f32 (+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (*.f32 normAngle n0_i)))) (/.f32 u (sin.f32 normAngle)))
(.f32 normAngle (.f32 (/.f32 u (sin.f32 normAngle)) (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))))
(/.f32 (.f32 u (+.f32 (.f32 -1 (.f32 (cos.f32 normAngle) (.f32 n0_i normAngle))) (*.f32 n1_i normAngle))) (sin.f32 normAngle))
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(/.f32 (+.f32 (neg.f32 n0_i) (.f32 (/.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (sin.f32 normAngle)) (neg.f32 u))) -1)
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (.f32 (.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle))) u))
(+.f32 n0_i (.f32 normAngle (.f32 (/.f32 u (sin.f32 normAngle)) (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i))))))
(neg.f32 (neg.f32 (+.f32 n0_i (.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (/.f32 u (sin.f32 normAngle))))))
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (.f32 (.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle))) u))
(+.f32 n0_i (.f32 normAngle (.f32 (/.f32 u (sin.f32 normAngle)) (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i))))))
(neg.f32 (+.f32 (neg.f32 n0_i) (.f32 (/.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (sin.f32 normAngle)) (neg.f32 u))))
(+.f32 n0_i (.f32 (+.f32 (.f32 -1 (.f32 (.f32 normAngle n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (/.f32 n1_i (/.f32 (sin.f32 normAngle) normAngle))) u))
(+.f32 n0_i (.f32 normAngle (.f32 (/.f32 u (sin.f32 normAngle)) (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i))))))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 0)
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (*.f32 (cos.f32 normAngle) 0))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (*.f32 n0_i (-.f32 normAngle normAngle)))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (*.f32 normAngle (-.f32 n0_i n0_i)))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (-.f32 n1_i n1_i))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (-.f32 normAngle normAngle))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 0))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(-.f32 0 (neg.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(-.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(-.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) (+.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (-.f32 n1_i n1_i)))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (-.f32 n1_i n1_i))
(-.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) (+.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (-.f32 normAngle normAngle)))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (-.f32 normAngle normAngle))
(-.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) (+.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (.f32 (cos.f32 normAngle) 0)))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (*.f32 (cos.f32 normAngle) 0))
(-.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) (+.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (.f32 n0_i (-.f32 normAngle normAngle))))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (*.f32 n0_i (-.f32 normAngle normAngle)))
(-.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) (*.f32 normAngle (-.f32 n0_i n0_i)))
(-.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 normAngle -2)))) (.f32 (cos.f32 normAngle) (.f32 normAngle (neg.f32 n0_i))))
(-.f32 (+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 normAngle (.f32 n0_i -2)))) (.f32 normAngle (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (-.f32 (.f32 normAngle (.f32 n0_i -2)) (*.f32 normAngle (neg.f32 n0_i)))))
(-.f32 (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle (neg.f32 n0_i))) (.f32 normAngle (+.f32 n1_i n1_i))) (.f32 n1_i normAngle))
(+.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (-.f32 (.f32 normAngle (+.f32 n1_i n1_i)) (.f32 normAngle n1_i)))
(+.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (*.f32 normAngle (-.f32 (+.f32 n1_i n1_i) n1_i)))
(-.f32 (.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) 2) (.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 3))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(-.f32 (+.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 normAngle -2)))) (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 normAngle -2))))) (+.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 normAngle -2)))) (.f32 (cos.f32 normAngle) (.f32 normAngle (neg.f32 n0_i)))))
(-.f32 (+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 normAngle (.f32 n0_i -2)))) (.f32 normAngle (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (-.f32 (.f32 normAngle (.f32 n0_i -2)) (*.f32 normAngle (neg.f32 n0_i)))))
(-.f32 (+.f32 (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle (neg.f32 n0_i))) (.f32 normAngle (+.f32 n1_i n1_i))) (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle (neg.f32 n0_i))) (.f32 normAngle (+.f32 n1_i n1_i)))) (+.f32 (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle (neg.f32 n0_i))) (.f32 normAngle (+.f32 n1_i n1_i))) (.f32 n1_i normAngle)))
(+.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (-.f32 (.f32 normAngle (+.f32 n1_i n1_i)) (.f32 normAngle n1_i)))
(+.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) (neg.f32 n0_i))) (*.f32 normAngle (-.f32 (+.f32 n1_i n1_i) n1_i)))
(-.f32 (+.f32 (.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) 2) (.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) 2)) (+.f32 (.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) 2) (.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 3)))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(*.f32 normAngle (+.f32 n1_i (/.f32 (neg.f32 n0_i) (/.f32 1 (cos.f32 normAngle)))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 (neg.f32 normAngle) (+.f32 (neg.f32 n1_i) (.f32 (cos.f32 normAngle) n0_i)))
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (*.f32 -1 normAngle))
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (neg.f32 normAngle))
(*.f32 (neg.f32 normAngle) (+.f32 (neg.f32 n1_i) (/.f32 n0_i (/.f32 1 (cos.f32 normAngle)))))
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (*.f32 -1 normAngle))
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (neg.f32 normAngle))
(.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 1)
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 1 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 -1 (neg.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i))))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2) 1/2)
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 1/2 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 1/2 (+.f32 (.f32 normAngle (+.f32 n1_i n1_i)) (.f32 (cos.f32 normAngle) (.f32 n0_i (*.f32 normAngle -2)))))
(.f32 1/2 (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle (.f32 n0_i -2))) (*.f32 normAngle (+.f32 n1_i n1_i))))
(.f32 1/2 (+.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) (.f32 n0_i -2))) (*.f32 normAngle (+.f32 n1_i n1_i))))
(.f32 1/2 (+.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 normAngle -2))) (*.f32 normAngle (+.f32 n1_i n1_i))))
(.f32 1/2 (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle (.f32 n0_i -2))) (*.f32 normAngle (+.f32 n1_i n1_i))))
(.f32 1/2 (+.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) (.f32 n0_i -2))) (*.f32 normAngle (+.f32 n1_i n1_i))))
(.f32 (neg.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i))))) -1)
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 -1/2 (neg.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2)))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 -1/2 (+.f32 (neg.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))) (neg.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 (neg.f32 (.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2)) -1/2)
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(.f32 (+.f32 (neg.f32 n1_i) (.f32 (cos.f32 normAngle) n0_i)) (neg.f32 normAngle))
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (*.f32 -1 normAngle))
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (neg.f32 normAngle))
(.f32 (+.f32 (neg.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))) (neg.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))))) -1/2)
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(/.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 1)
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(/.f32 1 (/.f32 1 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(/.f32 1/2 (/.f32 1 (.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) 2)))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(/.f32 (neg.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))) -1)
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(/.f32 (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (*.f32 normAngle (neg.f32 n1_i))) -1)
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (*.f32 -1 normAngle))
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (neg.f32 normAngle))
(neg.f32 (neg.f32 (.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))))
(+.f32 (.f32 normAngle n1_i) (.f32 (cos.f32 normAngle) (.f32 -1 (.f32 normAngle n0_i))))
(.f32 normAngle (+.f32 n1_i (.f32 (cos.f32 normAngle) (neg.f32 n0_i))))
(neg.f32 (+.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (*.f32 normAngle (neg.f32 n1_i))))
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (*.f32 -1 normAngle))
(.f32 (+.f32 (.f32 (cos.f32 normAngle) n0_i) (neg.f32 n1_i)) (neg.f32 normAngle))

eval758.0ms (4%)

Compiler: Compiled 56424 to 19447 computations (65.5% saved)

prune1.3s (7.1%)

Pruning

38 alts after pruning (36 fresh and 2 done)

	Pruned	Kept	Total
New	2449	30	2479
Fresh	9	6	15
Picked	1	0	1
Done	3	2	5
Total	2462	38	2500

Error

Counts

2500 → 38

Alt Table

Click to see full alt table

Status	Error	Program
	8.7b	(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 n1_i))) (sin.f32 normAngle))
✓	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	8.0b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 u (.f32 n1_i normAngle))) (sin.f32 normAngle))
	23.2b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	20.8b	(/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
	8.7b	(/.f32 (.f32 normAngle (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (sin.f32 normAngle))
	0.6b	(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
	0.5b	(-.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 n1_i (+.f32 u u))) (*.f32 u n1_i))
	1.0b	(-.f32 (+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))))
	0.6b	(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (-.f32 n0_i (.f32 n0_i u)))
	0.5b	(-.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 n0_i u))
	16.1b	(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 u (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) u)))
	5.3b	(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 n1_i (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) n1_i)))
▶	9.7b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
	0.5b	(+.f32 (/.f32 u (/.f32 1 n1_i)) (*.f32 n0_i (-.f32 1 u)))
▶	0.5b	(+.f32 (/.f32 n1_i (/.f32 1 u)) (*.f32 n0_i (-.f32 1 u)))
	9.5b	(+.f32 (-.f32 u (-.f32 u (.f32 u n1_i))) (.f32 n0_i (-.f32 1 u)))
	5.6b	(+.f32 (-.f32 n1_i (-.f32 n1_i (.f32 u n1_i))) (.f32 n0_i (-.f32 1 u)))
	0.7b	(+.f32 (.f32 (-.f32 (.f32 n1_i 3) (.f32 2 (+.f32 n1_i n1_i))) (neg.f32 u)) (.f32 n0_i (-.f32 1 u)))
	0.8b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
▶	0.9b	(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (/.f32 1 (+.f32 u -1))))
	0.6b	(+.f32 (*.f32 u n1_i) (/.f32 (-.f32 1 u) (/.f32 1 n0_i)))
	0.6b	(+.f32 (*.f32 u n1_i) (/.f32 n0_i (/.f32 -1 (+.f32 u -1))))
	13.5b	(+.f32 (.f32 u n1_i) (-.f32 (-.f32 u (-.f32 u n0_i)) (.f32 u n0_i)))
	1.4b	(+.f32 (.f32 u n1_i) (-.f32 (+.f32 (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2) (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2)) (+.f32 (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2) (.f32 n0_i (.f32 (-.f32 1 u) 3)))))
	1.4b	(+.f32 (.f32 u n1_i) (-.f32 (.f32 8 n0_i) (*.f32 n0_i (+.f32 4 (+.f32 u 3)))))
	1.0b	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 8 (+.f32 u 7))))
✓	0.5b	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
	6.0b	(+.f32 (*.f32 u n1_i) n0_i)
	5.4b	(+.f32 n0_i (/.f32 (.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) u) (sin.f32 normAngle)))
	12.7b	(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 u (-.f32 n1_i n0_i)))))
	3.6b	(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle))))
	0.5b	(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
▶	0.3b	(+.f32 n0_i (.f32 u (+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)) (pow.f32 normAngle 2)))))
▶	20.4b	(*.f32 u n1_i)
	22.4b	(.f32 -1 (.f32 (.f32 normAngle (+.f32 n0_i (.f32 n1_i -1))) (/.f32 u (sin.f32 normAngle))))
	16.4b	n0_i

Compiler

Compiled 1360 to 900 computations (33.8% saved)

localize107.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (-.f32 (.f32 n0_i 1/2) (*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)) (pow.f32 normAngle 2))
✓	0.1b	(.f32 u (+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)) (pow.f32 normAngle 2))))
✓	0.3b	(-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6))
✓	0.5b	(*.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)

Compiler

Compiled 116 to 58 computations (50% saved)

series11.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

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

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1000×	`rational.json-1`
1000×	`rational.json-2`
1000×	`rational.json-4`
1000×	`rational.json-3`
998×	`rational.json-simplify-23`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	150
1	113	130
2	353	130
3	1979	124

Stop Event

1×	node limit

Counts

4 → 357

Calls

Call 1

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

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

simplify199.0ms (1%)

Algorithm

1×	egg-herbie

Rules

954×	`rational.json-simplify-21`
920×	`rational.json-simplify-5`
914×	`rational.json-simplify-3`
864×	`rational.json-simplify-12`
820×	`rational.json-simplify-13`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	778	26827
1	3012	25503

Stop Event

1×	node limit

Counts

489 → 714

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 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u)
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u))
(.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u) (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u) (.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 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u))))
(+.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u))))
(+.f32 (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u) (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u))))
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(/.f32 (-.f32 (.f32 (pow.f32 normAngle 2) (-.f32 n0_i (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2))) (.f32 (pow.f32 normAngle 2) (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3))))) -1)
(/.f32 (-.f32 (.f32 (-.f32 n1_i n0_i) (.f32 (pow.f32 normAngle 2) -1/6)) (-.f32 (.f32 n0_i (.f32 1/2 (pow.f32 normAngle 2))) (.f32 (neg.f32 (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3))) 0))) -1)
(/.f32 (-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)))) (-.f32 (.f32 n0_i (pow.f32 normAngle 2)) (.f32 (neg.f32 (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3))) 0))) -1)
(/.f32 (-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (.f32 0 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)))) -1)
(/.f32 (-.f32 (.f32 (neg.f32 (pow.f32 normAngle 2)) (.f32 n0_i 1/2)) (.f32 (pow.f32 normAngle 2) (.f32 (-.f32 n1_i n0_i) 1/6))) -1)
(/.f32 (-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (.f32 0 (neg.f32 (pow.f32 normAngle 2)))) -1)
(/.f32 (-.f32 (.f32 (neg.f32 (pow.f32 normAngle 2)) n0_i) (.f32 (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (neg.f32 (pow.f32 normAngle 2)))) -1)
(/.f32 (-.f32 (+.f32 (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) (neg.f32 (pow.f32 normAngle 2))) (.f32 (pow.f32 normAngle 2) (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2))) (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2)) (.f32 (pow.f32 normAngle 2) (.f32 (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3)) -2)))) -1)
(/.f32 (-.f32 (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (*.f32 (-.f32 n1_i n0_i) -1/3)) (/.f32 1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (*.f32 (-.f32 n1_i n0_i) -1/3)) (neg.f32 (/.f32 -1 (pow.f32 normAngle 2))))
(/.f32 (-.f32 (+.f32 n0_i (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)))) (+.f32 (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))))) (/.f32 1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (+.f32 n0_i (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)))) (+.f32 (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))))) (neg.f32 (/.f32 -1 (pow.f32 normAngle 2))))
(/.f32 (-.f32 (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2)) (*.f32 (-.f32 n1_i n0_i) -1/6)) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (.f32 (neg.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) 0) (neg.f32 (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3)))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (-.f32 n0_i (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2)) (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3)))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (neg.f32 (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2)) (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (-.f32 (+.f32 n0_i n0_i) (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2)) (+.f32 n0_i (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3))))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (+.f32 (+.f32 n0_i n0_i) (+.f32 n0_i (+.f32 n0_i (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))))) (+.f32 (+.f32 n0_i n0_i) (+.f32 n0_i n0_i))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (+.f32 (neg.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2)) (+.f32 (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2) (.f32 (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3)) -2))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (.f32 (pow.f32 normAngle 2) 0) (pow.f32 normAngle 2)) (/.f32 2 (-.f32 (.f32 (-.f32 n1_i n0_i) -1/3) n0_i)))
(/.f32 (-.f32 (+.f32 (pow.f32 normAngle 2) (.f32 2 (pow.f32 normAngle 2))) (+.f32 (.f32 2 (pow.f32 normAngle 2)) (.f32 2 (pow.f32 normAngle 2)))) (/.f32 2 (-.f32 (.f32 (-.f32 n1_i n0_i) -1/3) n0_i)))
(/.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3)))) -1)
(neg.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3))))

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 (.f32 n0_i 1/2) (.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 1/6 n1_i) (.f32 n0_i 1/2)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (-.f32 (.f32 n0_i 1/2) (*.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 1/6 n1_i) (.f32 n0_i 1/2)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (-.f32 (.f32 n0_i 1/2) (*.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 1/6 n1_i) (.f32 n0_i 1/2)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (-.f32 (.f32 n0_i 1/2) (*.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 1/6 n1_i) (.f32 n0_i 1/2)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (-.f32 (.f32 n0_i 1/2) (*.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 1/6 n1_i) (.f32 n0_i 1/2)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (-.f32 (.f32 n0_i 1/2) (*.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 1/6 n1_i) (.f32 n0_i 1/2)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (-.f32 (.f32 n0_i 1/2) (*.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 1/6 n1_i) (.f32 n0_i 1/2)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (-.f32 (.f32 n0_i 1/2) (*.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 1/6 n1_i) (.f32 n0_i 1/2)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (-.f32 (.f32 n0_i 1/2) (*.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 1/6 n1_i) (.f32 n0_i 1/2)) (*.f32 1/6 n0_i))
(+.f32 (.f32 1/6 n1_i) (-.f32 (.f32 n0_i 1/2) (*.f32 1/6 n0_i)))
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (+.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 -1/6 (-.f32 n1_i n0_i))) (pow.f32 normAngle 2)) n1_i) n0_i) u)
(.f32 (+.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2)) (-.f32 n1_i n0_i)) u)
(.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 (-.f32 n0_i n1_i))) (pow.f32 normAngle 2))) u)
(.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u)
(.f32 u (-.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u))
(+.f32 (.f32 u (-.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)) (.f32 n1_i (.f32 (+.f32 (*.f32 1/6 (pow.f32 normAngle 2)) 1) u)))
(+.f32 (.f32 (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) 1) (.f32 n1_i u)) (.f32 (-.f32 (.f32 (-.f32 (.f32 1/2 n0_i) (*.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i) u))
(+.f32 (.f32 u (-.f32 (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 1/6 n0_i)) (pow.f32 normAngle 2)) n0_i)) (.f32 n1_i (.f32 (+.f32 (*.f32 1/6 (pow.f32 normAngle 2)) 1) u)))
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(/.f32 (-.f32 (+.f32 n0_i (+.f32 (+.f32 n0_i n0_i) n0_i)) (+.f32 n0_i (+.f32 (+.f32 n0_i n0_i) (+.f32 n0_i (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))))) (/.f32 1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 n0_i (+.f32 n0_i (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (/.f32 1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (+.f32 (neg.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2)) (+.f32 (.f32 (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)) -2) (.f32 (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3)) -2))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (+.f32 (.f32 -2 (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3))) (.f32 -2 (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (+.f32 (neg.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3))) (.f32 -2 (+.f32 (.f32 -1/6 n1_i) (*.f32 n0_i -1/3))))) (/.f32 1 (pow.f32 normAngle 2)))
(.f32 (-.f32 (neg.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3))) (.f32 -2 (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (neg.f32 (pow.f32 normAngle 2)))
(/.f32 (-.f32 (.f32 (pow.f32 normAngle 2) 0) (pow.f32 normAngle 2)) (/.f32 2 (-.f32 (.f32 (-.f32 n1_i n0_i) -1/3) n0_i)))
(.f32 (-.f32 (.f32 (pow.f32 normAngle 2) 0) (pow.f32 normAngle 2)) (/.f32 (-.f32 (*.f32 (-.f32 n1_i n0_i) -1/3) n0_i) 2))
(.f32 (-.f32 (.f32 (pow.f32 normAngle 2) 0) (pow.f32 normAngle 2)) (-.f32 (*.f32 1/6 (-.f32 n0_i n1_i)) (/.f32 n0_i 2)))
(/.f32 (-.f32 (+.f32 (pow.f32 normAngle 2) (.f32 2 (pow.f32 normAngle 2))) (+.f32 (.f32 2 (pow.f32 normAngle 2)) (.f32 2 (pow.f32 normAngle 2)))) (/.f32 2 (-.f32 (.f32 (-.f32 n1_i n0_i) -1/3) n0_i)))
(.f32 (-.f32 (+.f32 (pow.f32 normAngle 2) (.f32 2 (pow.f32 normAngle 2))) (+.f32 (.f32 2 (pow.f32 normAngle 2)) (.f32 2 (pow.f32 normAngle 2)))) (/.f32 (-.f32 (*.f32 (-.f32 n1_i n0_i) -1/3) n0_i) 2))
(/.f32 (-.f32 (.f32 2 (pow.f32 normAngle 2)) (pow.f32 normAngle 2)) (/.f32 2 (-.f32 n0_i (.f32 (-.f32 n1_i n0_i) -1/3))))
(/.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (.f32 n0_i -1/3)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3)))) -1)
(neg.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 n0_i -1/3)))))
(neg.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3))) (-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 n0_i -1/3))))))
(neg.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i -1/6) (*.f32 n0_i -1/3))))
(.f32 (+.f32 (.f32 -1/6 n1_i) (*.f32 n0_i -1/3)) (neg.f32 (pow.f32 normAngle 2)))
(.f32 (pow.f32 normAngle 2) (neg.f32 (+.f32 (.f32 -1/6 n1_i) (*.f32 n0_i -1/3))))

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)

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 35 to 22 computations (37.1% saved)

series1.0ms (0%)

Counts

2 → 60

Calls

15 calls:

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

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`rational.json-simplify-13`
952×	`rational.json-simplify-21`
896×	`rational.json-simplify-24`
836×	`rational.json-simplify-23`
780×	`rational.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	78	32
2	315	26
3	1777	26

Stop Event

1×	node limit

Counts

2 → 135

Calls

Call 1

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

Outputs

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

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

simplify70.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1572×	`rational.json-simplify-29`
1512×	`rational.json-simplify-1`
1226×	`rational.json-simplify-13`
824×	`rational.json-simplify-27`
412×	`rational.json-simplify-63`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	280	3213
1	989	2821
2	4840	2795

Stop Event

1×	node limit

Counts

195 → 168

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

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

localize83.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (/.f32 1 (+.f32 u -1))))
✓	0.1b	(/.f32 1 (+.f32 u -1))
✓	0.2b	(/.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (/.f32 1 (+.f32 u -1)))
✓	0.8b	(-.f32 (.f32 n0_i 3) (.f32 n0_i 4))

Compiler

Compiled 65 to 45 computations (30.8% saved)

series16.0ms (0.1%)

Counts

4 → 84

Calls

21 calls:

Time	Variable		Point	Expression
12.0ms	u	@	0	(/.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (/.f32 1 (+.f32 u -1)))
0.0ms	n0_i	@	0	(-.f32 (.f32 n0_i 3) (.f32 n0_i 4))
0.0ms	n0_i	@	inf	(/.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (/.f32 1 (+.f32 u -1)))
0.0ms	n0_i	@	0	(/.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (/.f32 1 (+.f32 u -1)))
0.0ms	n1_i	@	0	(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (/.f32 1 (+.f32 u -1))))

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1416×	`rational.json-1`
1416×	`rational.json-2`
1416×	`rational.json-4`
1416×	`rational.json-3`
774×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	106
1	113	70
2	460	56
3	3203	54

Stop Event

1×	node limit

Counts

4 → 275

Calls

Call 1

Inputs
(-.f32 (.f32 n0_i 3) (.f32 n0_i 4))
(/.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (/.f32 1 (+.f32 u -1)))
(/.f32 1 (+.f32 u -1))
(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (/.f32 1 (+.f32 u -1))))

Outputs
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((#(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)))) (.f32 (+.f32 u -1) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (-.f32 n0_i n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (-.f32 u u))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (-.f32 n1_i n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 n0_i (.f32 4 (+.f32 u -1))) (-.f32 (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u))) (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 u n1_i) (.f32 4 (.f32 n0_i (-.f32 1 u)))) (.f32 3 (.f32 n0_i (-.f32 1 u))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u))) (.f32 n0_i (.f32 4 (+.f32 u -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (+.f32 u -1) 0) (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (neg.f32 n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u (+.f32 n1_i n1_i))) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 u n1_i) (.f32 (+.f32 u -1) (.f32 n0_i 6))) (.f32 (+.f32 u -1) (.f32 n0_i 7)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 2 (/.f32 u 1/2)))) (.f32 n0_i (-.f32 1 u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u))) 2) (+.f32 (.f32 n0_i (.f32 4 (+.f32 u -1))) (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 2) (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 3))))) (#(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 -1 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))))) (#(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 1/2 (.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 n0_i (-.f32 2 (/.f32 u 1/2))) (.f32 u (+.f32 n1_i n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (+.f32 (.f32 u (+.f32 n1_i n1_i)) (.f32 n0_i (-.f32 2 (/.f32 u 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1/2 (+.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))))) (#(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 (+.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 -1 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))))) (#(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 (neg.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 -1)) (.f32 u (neg.f32 n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (.f32 n0_i (+.f32 u -1)) (*.f32 u (neg.f32 n1_i))))))))

simplify83.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

800×	`rational.json-simplify-24`
630×	`rational.json-simplify-42`
550×	`rational.json-simplify-1`
550×	`rational.json-simplify-5`
538×	`rational.json-simplify-47`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	587	7655
1	1960	6221

Stop Event

1×	node limit

Counts

359 → 391

Calls

Call 1

Inputs
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(*.f32 -1 n0_i)
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(.f32 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)) u)
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(.f32 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)) u)
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
-1
(-.f32 (*.f32 -1 u) 1)
(-.f32 (+.f32 (.f32 -1 u) (.f32 -1 (pow.f32 u 2))) 1)
(-.f32 (+.f32 (.f32 -1 u) (+.f32 (.f32 -1 (pow.f32 u 3)) (*.f32 -1 (pow.f32 u 2)))) 1)
(/.f32 1 u)
(+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u)))
(+.f32 (/.f32 1 (pow.f32 u 4)) (+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u))))
(/.f32 1 u)
(+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u)))
(+.f32 (/.f32 1 (pow.f32 u 4)) (+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u))))
(.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (*.f32 4 n0_i)) u)
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(.f32 -1 (.f32 u (+.f32 (.f32 -1 n1_i) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))))
(+.f32 (.f32 -1 (.f32 u (+.f32 (.f32 -1 n1_i) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)))))) (.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i))))
(+.f32 (.f32 -1 (.f32 u (+.f32 (.f32 -1 n1_i) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)))))) (.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i))))
(+.f32 (.f32 -1 (.f32 u (+.f32 (.f32 -1 n1_i) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)))))) (.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i))))
(.f32 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)) (-.f32 u 1))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(*.f32 n1_i u)
(+.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)))
(.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)))
(.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)))
(+.f32 n0_i (*.f32 n0_i -2))
(+.f32 (.f32 n0_i 3) (.f32 n0_i -4))
(+.f32 (.f32 n0_i 3) (-.f32 (.f32 n0_i -5) (neg.f32 n0_i)))
(+.f32 (*.f32 n0_i 3) (/.f32 -1 (/.f32 1/4 n0_i)))
(+.f32 (neg.f32 n0_i) 0)
(+.f32 (neg.f32 n0_i) (-.f32 n0_i n0_i))
(+.f32 0 (neg.f32 n0_i))
(+.f32 (.f32 n0_i 6) (neg.f32 (.f32 n0_i 7)))
(+.f32 (.f32 n0_i 6) (-.f32 (.f32 n0_i -8) (neg.f32 n0_i)))
(+.f32 (.f32 n0_i 6) (-.f32 (.f32 n0_i 3) (*.f32 n0_i 10)))
(+.f32 (*.f32 n0_i -2) n0_i)
(+.f32 (.f32 n0_i -4) (.f32 n0_i 3))
(+.f32 (-.f32 n0_i n0_i) (neg.f32 n0_i))
(+.f32 (.f32 n0_i 3/2) (.f32 1/2 (*.f32 n0_i -5)))
(+.f32 (/.f32 n0_i -2) (/.f32 n0_i -2))
(+.f32 (.f32 n0_i 12) (neg.f32 (.f32 n0_i 13)))
(+.f32 (neg.f32 (.f32 n0_i 7)) (.f32 n0_i 6))
(+.f32 (neg.f32 (.f32 n0_i 13)) (.f32 n0_i 12))
(+.f32 (-.f32 (.f32 n0_i -5) (neg.f32 n0_i)) (.f32 n0_i 3))
(+.f32 (-.f32 (.f32 n0_i -8) (neg.f32 n0_i)) (.f32 n0_i 6))
(+.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 10)) (*.f32 n0_i 6))
(+.f32 (.f32 1/2 (.f32 n0_i -5)) (*.f32 n0_i 3/2))
(*.f32 n0_i -1)
(*.f32 (neg.f32 n0_i) 1)
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(.f32 (.f32 -1 (/.f32 2 (+.f32 u -1))) -1/2)
(*.f32 (/.f32 1/2 (-.f32 1 u)) -2)
(*.f32 (/.f32 1/2 (+.f32 -2 (/.f32 u 1/2))) 4)
(neg.f32 (/.f32 1 (-.f32 1 u)))
(-.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)))) (.f32 (+.f32 u -1) 0))
(-.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (-.f32 n0_i n0_i))
(-.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (-.f32 u u))
(-.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (-.f32 n1_i n1_i))
(-.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 0))
(-.f32 0 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(-.f32 (.f32 n0_i (.f32 4 (+.f32 u -1))) (-.f32 (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u))) (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2)))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 4 (.f32 n0_i (-.f32 1 u)))) (.f32 3 (*.f32 n0_i (-.f32 1 u))))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u))) (.f32 n0_i (*.f32 4 (+.f32 u -1))))
(-.f32 (.f32 (+.f32 u -1) 0) (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))
(-.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) (neg.f32 n0_i))
(-.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u (+.f32 n1_i n1_i))) (*.f32 u n1_i))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 (+.f32 u -1) (.f32 n0_i 6))) (.f32 (+.f32 u -1) (*.f32 n0_i 7)))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 2 (/.f32 u 1/2)))) (*.f32 n0_i (-.f32 1 u)))
(-.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u))) 2) (+.f32 (.f32 n0_i (.f32 4 (+.f32 u -1))) (+.f32 (.f32 u n1_i) (.f32 (*.f32 n0_i -3) (-.f32 1 u)))))
(-.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 2) (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 3))
(.f32 1 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))
(.f32 -1 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)
(.f32 1/2 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2))
(.f32 1/2 (+.f32 (.f32 n0_i (-.f32 2 (/.f32 u 1/2))) (*.f32 u (+.f32 n1_i n1_i))))
(.f32 1/2 (+.f32 (.f32 u (+.f32 n1_i n1_i)) (*.f32 n0_i (-.f32 2 (/.f32 u 1/2)))))
(.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) -1)
(.f32 -1/2 (+.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))
(.f32 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 1/2)
(.f32 (+.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))) -1/2)
(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(/.f32 1 (/.f32 -1 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))
(/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)
(/.f32 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))) -1)
(/.f32 (+.f32 (.f32 n0_i (+.f32 u -1)) (.f32 u (neg.f32 n1_i))) -1)
(neg.f32 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(neg.f32 (+.f32 (.f32 n0_i (+.f32 u -1)) (.f32 u (neg.f32 n1_i))))

Outputs
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(*.f32 -1 n0_i)
(neg.f32 n0_i)
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(*.f32 n0_i (-.f32 1 u))
(.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)))
(.f32 -1 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)))
(*.f32 1 n0_i)
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(*.f32 n0_i (-.f32 1 u))
(.f32 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)) u)
(.f32 u (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(*.f32 n0_i (-.f32 1 u))
(.f32 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)) u)
(.f32 u (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(*.f32 n0_i (-.f32 1 u))
-1
(-.f32 (*.f32 -1 u) 1)
(+.f32 (neg.f32 u) -1)
(-.f32 -1 u)
(-.f32 (+.f32 (.f32 -1 u) (.f32 -1 (pow.f32 u 2))) 1)
(+.f32 (+.f32 (*.f32 -1 (pow.f32 u 2)) (neg.f32 u)) -1)
(+.f32 (neg.f32 (pow.f32 u 2)) (-.f32 -1 u))
(-.f32 (+.f32 (.f32 -1 u) (+.f32 (.f32 -1 (pow.f32 u 3)) (*.f32 -1 (pow.f32 u 2)))) 1)
(+.f32 (+.f32 (.f32 -1 (pow.f32 u 3)) (+.f32 (.f32 -1 (pow.f32 u 2)) (neg.f32 u))) -1)
(+.f32 (*.f32 -1 (+.f32 (pow.f32 u 2) (pow.f32 u 3))) (-.f32 -1 u))
(/.f32 1 u)
(+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u))
(+.f32 (/.f32 1 u) (/.f32 1 (pow.f32 u 2)))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u)))
(+.f32 (/.f32 1 (pow.f32 u 2)) (+.f32 (/.f32 1 (pow.f32 u 3)) (/.f32 1 u)))
(+.f32 (/.f32 1 u) (+.f32 (/.f32 1 (pow.f32 u 3)) (/.f32 1 (pow.f32 u 2))))
(+.f32 (/.f32 1 (pow.f32 u 4)) (+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 4)) (+.f32 (/.f32 1 u) (/.f32 1 (pow.f32 u 2)))))
(+.f32 (/.f32 1 (pow.f32 u 2)) (+.f32 (/.f32 1 (pow.f32 u 4)) (+.f32 (/.f32 1 u) (/.f32 1 (pow.f32 u 3)))))
(/.f32 1 u)
(+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u))
(+.f32 (/.f32 1 u) (/.f32 1 (pow.f32 u 2)))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u)))
(+.f32 (/.f32 1 (pow.f32 u 2)) (+.f32 (/.f32 1 (pow.f32 u 3)) (/.f32 1 u)))
(+.f32 (/.f32 1 u) (+.f32 (/.f32 1 (pow.f32 u 3)) (/.f32 1 (pow.f32 u 2))))
(+.f32 (/.f32 1 (pow.f32 u 4)) (+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 2)) (/.f32 1 u))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 1 (pow.f32 u 4)) (+.f32 (/.f32 1 u) (/.f32 1 (pow.f32 u 2)))))
(+.f32 (/.f32 1 (pow.f32 u 2)) (+.f32 (/.f32 1 (pow.f32 u 4)) (+.f32 (/.f32 1 u) (/.f32 1 (pow.f32 u 3)))))
(.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)))
(.f32 -1 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)))
(*.f32 1 n0_i)
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (.f32 u (+.f32 (.f32 n0_i 3) (-.f32 n1_i (.f32 n0_i 4)))))
(+.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (.f32 1 n0_i))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (.f32 u (+.f32 (.f32 n0_i 3) (-.f32 n1_i (.f32 n0_i 4)))))
(+.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (.f32 1 n0_i))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (.f32 u (+.f32 (.f32 n0_i 3) (-.f32 n1_i (.f32 n0_i 4)))))
(+.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (.f32 1 n0_i))
(.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (*.f32 4 n0_i)) u)
(.f32 u (+.f32 (.f32 n0_i 3) (-.f32 n1_i (*.f32 n0_i 4))))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (.f32 u (+.f32 (.f32 n0_i 3) (-.f32 n1_i (.f32 n0_i 4)))))
(+.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (.f32 1 n0_i))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (.f32 u (+.f32 (.f32 n0_i 3) (-.f32 n1_i (.f32 n0_i 4)))))
(+.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (.f32 1 n0_i))
(+.f32 (.f32 (-.f32 (+.f32 (.f32 3 n0_i) n1_i) (.f32 4 n0_i)) u) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))
(+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (.f32 u (+.f32 (.f32 n0_i 3) (-.f32 n1_i (.f32 n0_i 4)))))
(+.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (.f32 1 n0_i))
(.f32 -1 (.f32 u (+.f32 (.f32 -1 n1_i) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i))))))
(.f32 -1 (.f32 u (+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4))) (neg.f32 n1_i))))
(.f32 u (+.f32 (.f32 (neg.f32 n1_i) -1) (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u (+.f32 (.f32 -1 n1_i) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)))))) (.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i))))
(+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (.f32 -1 (.f32 u (+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (neg.f32 n1_i)))))
(+.f32 (.f32 u (+.f32 (.f32 (neg.f32 n1_i) -1) (neg.f32 n0_i))) (*.f32 1 n0_i))
(+.f32 (.f32 -1 (.f32 u (+.f32 (.f32 -1 n1_i) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)))))) (.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i))))
(+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (.f32 -1 (.f32 u (+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (neg.f32 n1_i)))))
(+.f32 (.f32 u (+.f32 (.f32 (neg.f32 n1_i) -1) (neg.f32 n0_i))) (*.f32 1 n0_i))
(+.f32 (.f32 -1 (.f32 u (+.f32 (.f32 -1 n1_i) (.f32 -1 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)))))) (.f32 -1 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i))))
(+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (.f32 -1 (.f32 u (+.f32 (.f32 -1 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4))) (neg.f32 n1_i)))))
(+.f32 (.f32 u (+.f32 (.f32 (neg.f32 n1_i) -1) (neg.f32 n0_i))) (*.f32 1 n0_i))
(.f32 (-.f32 (.f32 3 n0_i) (*.f32 4 n0_i)) (-.f32 u 1))
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 3 n0_i) (.f32 4 n0_i)) (-.f32 u 1)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
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(/.f32 -1 (-.f32 1 u))
(*.f32 1/2 (/.f32 2 (+.f32 u -1)))
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(*.f32 (/.f32 1/2 (+.f32 u -1)) 2)
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(.f32 -1/2 (.f32 -1 (/.f32 2 (+.f32 u -1))))
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(*.f32 (/.f32 2 (+.f32 u -1)) 1/2)
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(*.f32 -2 (neg.f32 (/.f32 1/2 (+.f32 u -1))))
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(*.f32 -2 (/.f32 1/2 (-.f32 1 u)))
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(*.f32 (neg.f32 (/.f32 1/2 (+.f32 u -1))) -2)
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(.f32 (.f32 -1 (/.f32 2 (+.f32 u -1))) -1/2)
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(*.f32 (/.f32 1/2 (-.f32 1 u)) -2)
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(*.f32 (/.f32 1/2 (+.f32 -2 (/.f32 u 1/2))) 4)
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(neg.f32 (/.f32 1 (-.f32 1 u)))
(/.f32 1 (+.f32 -1 u))
(/.f32 -1 (-.f32 1 u))
(-.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 0)
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (.f32 (+.f32 u -1) 0))
(+.f32 n0_i (-.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (.f32 0 (+.f32 -1 u))))
(+.f32 n0_i (-.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (+.f32 0 (.f32 0 u))))
(-.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (-.f32 n0_i n0_i))
(+.f32 n0_i (-.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) (-.f32 n0_i n0_i)))
(+.f32 n0_i (-.f32 n0_i (-.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(-.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (-.f32 u u))
(+.f32 n0_i (-.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) (-.f32 u u)))
(-.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (-.f32 n1_i n1_i))
(-.f32 n1_i (-.f32 n1_i (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) (-.f32 n0_i (-.f32 n1_i n1_i)))
(-.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 0))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 0 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (.f32 n0_i (.f32 4 (+.f32 u -1))) (-.f32 (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u))) (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 4 (.f32 n0_i (-.f32 1 u)))) (.f32 3 (*.f32 n0_i (-.f32 1 u))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u))) (.f32 n0_i (*.f32 4 (+.f32 u -1))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (.f32 (+.f32 u -1) 0) (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 n0_i (-.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (.f32 0 (+.f32 -1 u))))
(+.f32 n0_i (-.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (+.f32 0 (.f32 0 u))))
(-.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) (neg.f32 n0_i))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u (+.f32 n1_i n1_i))) (*.f32 u n1_i))
(+.f32 (.f32 n0_i (-.f32 1 u)) (-.f32 (.f32 u (+.f32 n1_i n1_i)) (*.f32 u n1_i)))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u (-.f32 (+.f32 n1_i n1_i) n1_i)))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 (+.f32 u -1) (.f32 n0_i 6))) (.f32 (+.f32 u -1) (*.f32 n0_i 7)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 2 (/.f32 u 1/2)))) (*.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (.f32 (+.f32 (.f32 u n1_i) (.f32 (.f32 n0_i -3) (-.f32 1 u))) 2) (+.f32 (.f32 n0_i (.f32 4 (+.f32 u -1))) (+.f32 (.f32 u n1_i) (.f32 (*.f32 n0_i -3) (-.f32 1 u)))))
(-.f32 (.f32 2 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i -3)) (.f32 u n1_i))) (+.f32 (.f32 n0_i (+.f32 (.f32 u 4) -4)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i -3)) (*.f32 u n1_i))))
(-.f32 (.f32 2 (+.f32 (.f32 (.f32 n0_i 3) (+.f32 -1 u)) (.f32 u n1_i))) (+.f32 (.f32 (.f32 n0_i 3) (+.f32 -1 u)) (+.f32 (.f32 (+.f32 -1 u) (.f32 n0_i 4)) (*.f32 u n1_i))))
(-.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 2) (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 3))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 1 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 -1 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 1/2 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 1/2 (+.f32 (.f32 n0_i (-.f32 2 (/.f32 u 1/2))) (*.f32 u (+.f32 n1_i n1_i))))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u (*.f32 1/2 (+.f32 n1_i n1_i))))
(.f32 1/2 (+.f32 (.f32 u (+.f32 n1_i n1_i)) (*.f32 n0_i (-.f32 2 (/.f32 u 1/2)))))
(.f32 1/2 (+.f32 (.f32 n0_i (-.f32 2 (/.f32 u 1/2))) (*.f32 u (+.f32 n1_i n1_i))))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 u (*.f32 1/2 (+.f32 n1_i n1_i))))
(.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) -1)
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 -1/2 (+.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 2) 1/2)
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(.f32 (+.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))) -1/2)
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(/.f32 1 (/.f32 -1 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(/.f32 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))) -1)
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(/.f32 (+.f32 (.f32 n0_i (+.f32 u -1)) (.f32 u (neg.f32 n1_i))) -1)
(neg.f32 (+.f32 (.f32 n0_i (+.f32 -1 u)) (.f32 u (neg.f32 n1_i))))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (neg.f32 n1_i) (neg.f32 u)))
(neg.f32 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 (.f32 (-.f32 (.f32 n0_i 3) (.f32 n0_i 4)) (+.f32 -1 u)) (.f32 u n1_i))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(neg.f32 (+.f32 (.f32 n0_i (+.f32 u -1)) (.f32 u (neg.f32 n1_i))))
(neg.f32 (+.f32 (.f32 n0_i (+.f32 -1 u)) (.f32 u (neg.f32 n1_i))))
(+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 (neg.f32 n1_i) (neg.f32 u)))

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f32 u normAngle)
✓	0.1b	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
✓	0.1b	(.f32 n1_i (.f32 u normAngle))
✓	12.8b	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))

Compiler

Compiled 36 to 9 computations (75% saved)

series8.0ms (0%)

Counts

3 → 19

Calls

30 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1356×	`rational.json-simplify-29`
1184×	`rational.json-simplify-42`
1024×	`rational.json-simplify-47`
996×	`rational.json-simplify-14`
904×	`rational.json-simplify-37`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	73	65
2	264	65
3	1587	65

Stop Event

1×	node limit

Counts

3 → 516

Calls

Call 1

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

Outputs

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

simplify222.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

842×	`rational.json-simplify-41`
652×	`rational.json-simplify-13`
650×	`rational.json-simplify-5`
624×	`rational.json-simplify-1`
622×	`rational.json-simplify-28`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	971	19047
1	3093	17427

Stop Event

1×	node limit

Counts

535 → 684

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 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) 0)
(+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (/.f32 0 (sin.f32 normAngle)))
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(/.f32 (/.f32 (neg.f32 n1_i) (/.f32 1 u)) (neg.f32 (/.f32 1 normAngle)))
(/.f32 (/.f32 1 (/.f32 1 (*.f32 n1_i normAngle))) (/.f32 1 u))
(/.f32 (/.f32 (*.f32 (neg.f32 n1_i) normAngle) (/.f32 1 u)) -1)
(/.f32 (/.f32 (*.f32 normAngle (neg.f32 n1_i)) (/.f32 1 u)) -1)
(/.f32 (/.f32 (*.f32 u (neg.f32 n1_i)) (/.f32 1 normAngle)) -1)
(neg.f32 (.f32 u (neg.f32 (.f32 n1_i normAngle))))
(-.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 0)
(-.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) (/.f32 0 (sin.f32 normAngle)))
(-.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) (.f32 (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i) 0))
(-.f32 0 (neg.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i)))
(-.f32 0 (.f32 -1 (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i)))
(-.f32 (neg.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i)) (.f32 -1 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 2)))
(-.f32 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 2) (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i))
(-.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (+.f32 n0_i n0_i)) n0_i)
(-.f32 (+.f32 n0_i (.f32 n1_i (/.f32 (.f32 u (+.f32 normAngle normAngle)) (sin.f32 normAngle)))) (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(-.f32 (.f32 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 2) 2) (.f32 (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i) 3))
(-.f32 (.f32 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 3) 1/2) (.f32 1/2 (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i)))
(.f32 (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i) 1)
(.f32 1 (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i))
(.f32 1/2 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 2))
(.f32 1/2 (+.f32 (.f32 n1_i (/.f32 (*.f32 u (+.f32 normAngle normAngle)) (sin.f32 normAngle))) (+.f32 n0_i n0_i)))
(.f32 1/2 (+.f32 (+.f32 n0_i n0_i) (.f32 n1_i (/.f32 (*.f32 u (+.f32 normAngle normAngle)) (sin.f32 normAngle)))))
(.f32 -1 (neg.f32 (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i)))
(.f32 -1 (-.f32 (/.f32 0 (sin.f32 normAngle)) (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i)))
(.f32 -1 (-.f32 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 0) (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i)))
(.f32 -1 (-.f32 n0_i (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) (+.f32 n0_i n0_i))))
(.f32 -1 (-.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (+.f32 n0_i (.f32 n1_i (/.f32 (*.f32 u (+.f32 normAngle normAngle)) (sin.f32 normAngle))))))
(.f32 -1 (-.f32 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 3) (.f32 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 2) 2)))
(.f32 (neg.f32 (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i)) -1)
(.f32 -1/2 (-.f32 0 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 2)))
(.f32 -1/2 (-.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 3)))
(.f32 (.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 2) 1/2)
(.f32 (+.f32 (neg.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i)) (neg.f32 (+.f32 (.f32 n1_i (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))) n0_i))) -1/2)
(/.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i) 1)
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i)))
(/.f32 1 (/.f32 -1 (neg.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i))))
(/.f32 (neg.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i)) -1)
(/.f32 (-.f32 (+.f32 (neg.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i)) (neg.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i))) (neg.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i))) -1)
(neg.f32 (neg.f32 (+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i)))

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

eval774.0ms (4.1%)

Compiler: Compiled 51374 to 25555 computations (50.3% saved)

prune1.2s (6.1%)

Pruning

45 alts after pruning (42 fresh and 3 done)

	Pruned	Kept	Total
New	2412	22	2434
Fresh	11	20	31
Picked	1	0	1
Done	3	3	6
Total	2427	45	2472

Error

Counts

2472 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	8.7b	(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 n1_i))) (sin.f32 normAngle))
✓	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	8.0b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 u (.f32 n1_i normAngle))) (sin.f32 normAngle))
	20.8b	(/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
▶	8.7b	(/.f32 (.f32 normAngle (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (sin.f32 normAngle))
	20.5b	(/.f32 n1_i (/.f32 1 u))
	0.6b	(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
	20.5b	(/.f32 1 (/.f32 1 (*.f32 u n1_i)))
▶	0.5b	(-.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 n1_i (+.f32 u u))) (*.f32 n1_i u))
	0.6b	(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 2 (/.f32 u 1/2)))) (*.f32 n0_i (-.f32 1 u)))
	0.5b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	16.1b	(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 u (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) u)))
	5.3b	(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 n1_i (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) n1_i)))
	26.5b	(-.f32 u (-.f32 u (*.f32 u n1_i)))
	5.6b	(-.f32 n1_i (-.f32 n1_i (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
	23.7b	(-.f32 n1_i (-.f32 n1_i (*.f32 u n1_i)))
	0.5b	(-.f32 n0_i (*.f32 (-.f32 n0_i n1_i) u))
	12.4b	(-.f32 n0_i (*.f32 u n0_i))
	10.1b	(+.f32 (/.f32 (/.f32 u (/.f32 1 (*.f32 n1_i normAngle))) (sin.f32 normAngle)) n0_i)
	9.8b	(+.f32 (/.f32 (*.f32 n1_i (/.f32 (-.f32 (+.f32 u (+.f32 u (+.f32 u u))) (+.f32 u (+.f32 u u))) (/.f32 1 normAngle))) (sin.f32 normAngle)) n0_i)
	0.5b	(+.f32 (/.f32 u (/.f32 1 n1_i)) (*.f32 n0_i (-.f32 1 u)))
	6.1b	(+.f32 (/.f32 n1_i (/.f32 1 u)) n0_i)
	8.1b	(+.f32 (.f32 (/.f32 u (sin.f32 normAngle)) (.f32 n1_i normAngle)) n0_i)
	0.7b	(+.f32 (.f32 (-.f32 (.f32 n1_i 3) (.f32 2 (+.f32 n1_i n1_i))) (neg.f32 u)) (.f32 n0_i (-.f32 1 u)))
	0.8b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	3.5b	(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (-.f32 -1 u)))
	0.6b	(+.f32 (*.f32 u n1_i) (/.f32 (-.f32 1 u) (/.f32 1 n0_i)))
	0.6b	(+.f32 (*.f32 u n1_i) (/.f32 n0_i (/.f32 -1 (+.f32 u -1))))
	13.5b	(+.f32 (.f32 u n1_i) (-.f32 (-.f32 u (-.f32 u n0_i)) (.f32 u n0_i)))
	1.9b	(+.f32 (.f32 u n1_i) (-.f32 (.f32 (+.f32 u -1) (.f32 n0_i 12)) (.f32 (+.f32 u -1) (*.f32 n0_i 13))))
	1.9b	(+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i 13) (-.f32 (.f32 n0_i 12) (.f32 n0_i (neg.f32 u)))))
	1.5b	(+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i 7) (*.f32 n0_i (-.f32 6 (neg.f32 u)))))
	1.0b	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 8 (+.f32 u 7))))
✓	0.5b	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
	6.0b	(+.f32 (*.f32 u n1_i) n0_i)
	5.4b	(+.f32 n0_i (/.f32 (.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) u) (sin.f32 normAngle)))
▶	12.7b	(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 u (-.f32 n1_i n0_i)))))
	12.3b	(+.f32 n0_i (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (*.f32 n0_i u)))
▶	0.3b	(+.f32 n0_i (.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (neg.f32 u)))
	3.6b	(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle))))
	0.4b	(+.f32 n0_i (.f32 u (+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (*.f32 n0_i 1/3) (pow.f32 normAngle 2)))))
▶	12.4b	(*.f32 (-.f32 1 u) n0_i)
✓	20.4b	(*.f32 u n1_i)
	16.4b	n0_i

Compiler

Compiled 1423 to 945 computations (33.6% saved)

localize74.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 n0_i -1/3)))
✓	0.1b	(.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (neg.f32 u))
✓	0.3b	(*.f32 -1/6 n1_i)
✓	0.4b	(*.f32 n0_i -1/3)

Compiler

Compiled 96 to 58 computations (39.6% saved)

series11.0ms (0.1%)

Counts

4 → 96

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	u	@	0	(.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (neg.f32 u))
1.0ms	n0_i	@	0	(.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (neg.f32 u))
1.0ms	normAngle	@	inf	(.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (neg.f32 u))
1.0ms	n1_i	@	0	(.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (neg.f32 u))
1.0ms	n1_i	@	inf	(.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (neg.f32 u))

rewrite131.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`rational.json-1`
1062×	`rational.json-2`
1062×	`rational.json-4`
1062×	`rational.json-3`
982×	`rational.json-simplify-23`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	98
1	113	98
2	358	94
3	2080	94

Stop Event

1×	node limit

Counts

4 → 326

Calls

Call 1

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

Outputs
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(+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))))))

simplify194.0ms (1%)

Algorithm

1×	egg-herbie

Rules

940×	`rational.json-simplify-5`
920×	`rational.json-simplify-2`
778×	`rational.json-simplify-3`
776×	`rational.json-simplify-13`
714×	`rational.json-simplify-12`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	747	22896
1	2881	22090

Stop Event

1×	node limit

Counts

422 → 586

Calls

Call 1

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

Outputs
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(*.f32 -1/3 n0_i)
(.f32 -1 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 2))) n1_i) u))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 2))) n1_i) u)) (.f32 -1 (.f32 (+.f32 1 (.f32 -1/3 (pow.f32 normAngle 2))) (.f32 u n0_i))))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 2))) n1_i) u)) (.f32 -1 (.f32 u (.f32 (+.f32 1 (.f32 -1/3 (pow.f32 normAngle 2))) n0_i))))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 normAngle 2))) n1_i) u)) (.f32 -1 (.f32 (+.f32 1 (.f32 -1/3 (pow.f32 normAngle 2))) (.f32 n0_i u))))
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(-.f32 (neg.f32 (.f32 0 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))
(-.f32 (.f32 0 (neg.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))
(-.f32 (/.f32 (+.f32 (.f32 (pow.f32 normAngle 2) 2) (.f32 (pow.f32 normAngle 2) 2)) (/.f32 1 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)))) (/.f32 (+.f32 (pow.f32 normAngle 2) (.f32 (pow.f32 normAngle 2) 2)) (/.f32 1 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)))))
(/.f32 (+.f32 (pow.f32 normAngle 2) (-.f32 (.f32 2 (pow.f32 normAngle 2)) (+.f32 (.f32 2 (pow.f32 normAngle 2)) (.f32 2 (pow.f32 normAngle 2))))) (/.f32 -1 (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i))))
(/.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)) (/.f32 1 (-.f32 (*.f32 2 (pow.f32 normAngle 2)) (pow.f32 normAngle 2))))
(-.f32 (/.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/3 n1_i)) (/.f32 1 (pow.f32 normAngle 2))) (.f32 (.f32 -1/6 n1_i) (pow.f32 normAngle 2)))
(-.f32 (/.f32 (.f32 -1/3 (+.f32 n0_i n1_i)) (/.f32 1 (pow.f32 normAngle 2))) (.f32 (pow.f32 normAngle 2) (*.f32 -1/6 n1_i)))
(-.f32 (.f32 (.f32 -1/3 (+.f32 n0_i n1_i)) (/.f32 (pow.f32 normAngle 2) 1)) (.f32 (pow.f32 normAngle 2) (.f32 -1/6 n1_i)))
(-.f32 (/.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -2/3)) (/.f32 1 (pow.f32 normAngle 2))) (.f32 (.f32 n0_i -1/3) (pow.f32 normAngle 2)))
(-.f32 (.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -2/3)) (/.f32 (pow.f32 normAngle 2) 1)) (.f32 (pow.f32 normAngle 2) (*.f32 -1/3 n0_i)))
(-.f32 (/.f32 (+.f32 (.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) 2) (.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) 2)) (/.f32 1 (pow.f32 normAngle 2))) (/.f32 (+.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) (.f32 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)) 2)) (/.f32 1 (pow.f32 normAngle 2))))
(/.f32 (+.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)) (-.f32 (.f32 2 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i))) (+.f32 (.f32 2 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i))) (.f32 2 (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (pow.f32 normAngle 2) (/.f32 1 (-.f32 (.f32 2 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i))) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))))
(-.f32 (/.f32 0 (.f32 -1 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))
(-.f32 (/.f32 0 (/.f32 1 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6))))
(-.f32 (/.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)) (/.f32 1 0)) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6))))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))
(-.f32 (/.f32 0 (/.f32 1 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6))))
(-.f32 (/.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)) (/.f32 1 0)) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6))))
(-.f32 (/.f32 0 (.f32 -1 (/.f32 1 (pow.f32 normAngle 2)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))))
(-.f32 (/.f32 0 (/.f32 1 (pow.f32 normAngle 2))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6))))
(-.f32 (.f32 0 (/.f32 (pow.f32 normAngle 2) -2)) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))
(-.f32 (/.f32 0 (neg.f32 (/.f32 1 (pow.f32 normAngle 2)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))
(-.f32 (/.f32 0 (/.f32 1 (pow.f32 normAngle 2))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6))))
(-.f32 (.f32 0 (/.f32 (pow.f32 normAngle 2) -2)) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))
(/.f32 (pow.f32 normAngle 2) (/.f32 1 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (pow.f32 normAngle 2) (.f32 -1 (.f32 -1 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (pow.f32 normAngle 2) (.f32 -1 (neg.f32 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i))))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (pow.f32 normAngle 2) (neg.f32 (.f32 -1 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i))))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (pow.f32 normAngle 2) (neg.f32 (neg.f32 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) (/.f32 1 (pow.f32 normAngle 2)))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) (.f32 -1 (.f32 -1 (/.f32 1 (pow.f32 normAngle 2)))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) (*.f32 -1 (neg.f32 (/.f32 1 (pow.f32 normAngle 2)))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) (neg.f32 (*.f32 -1 (/.f32 1 (pow.f32 normAngle 2)))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) (neg.f32 (neg.f32 (/.f32 1 (pow.f32 normAngle 2)))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i))) 1)
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 1 (/.f32 1 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (neg.f32 (pow.f32 normAngle 2)) (.f32 -1 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (neg.f32 (pow.f32 normAngle 2)) (neg.f32 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (neg.f32 (pow.f32 normAngle 2)) (/.f32 -1 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (neg.f32 (pow.f32 normAngle 2)) (.f32 1 (.f32 -1 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (neg.f32 (pow.f32 normAngle 2)) (.f32 1 (neg.f32 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i))))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))) -1)
(.f32 (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6)) (neg.f32 (pow.f32 normAngle 2)))
(/.f32 (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)) (*.f32 -1 (/.f32 1 (pow.f32 normAngle 2))))
(.f32 (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6)) (neg.f32 (pow.f32 normAngle 2)))
(/.f32 (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)) (neg.f32 (/.f32 1 (pow.f32 normAngle 2))))
(.f32 (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6)) (neg.f32 (pow.f32 normAngle 2)))
(/.f32 (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)) (/.f32 -1 (pow.f32 normAngle 2)))
(.f32 (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6)) (neg.f32 (pow.f32 normAngle 2)))
(/.f32 (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)) (.f32 1 (.f32 -1 (/.f32 1 (pow.f32 normAngle 2)))))
(.f32 (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6)) (neg.f32 (pow.f32 normAngle 2)))
(/.f32 (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)) (*.f32 1 (neg.f32 (/.f32 1 (pow.f32 normAngle 2)))))
(.f32 (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6)) (neg.f32 (pow.f32 normAngle 2)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))) (pow.f32 normAngle 2)))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 1/2 (/.f32 (/.f32 1/2 (pow.f32 normAngle 2)) (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (.f32 1/2 (pow.f32 normAngle 2)) (/.f32 1/2 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i))))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (.f32 1/2 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i))) (/.f32 1/2 (pow.f32 normAngle 2)))
(.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))
(/.f32 (-.f32 (-.f32 n1_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)))) -1)
(neg.f32 (-.f32 (-.f32 n1_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))))
(-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i))) (neg.f32 (-.f32 n1_i n1_i)))
(/.f32 (-.f32 (.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) (.f32 (pow.f32 normAngle 2) 0)) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)))) -1)
(/.f32 (.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)) (-.f32 (pow.f32 normAngle 2) (.f32 (pow.f32 normAngle 2) 0))) 1)
(/.f32 (-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (.f32 0 (neg.f32 (pow.f32 normAngle 2)))) -1)
(neg.f32 (-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))) (.f32 0 (neg.f32 (pow.f32 normAngle 2)))))
(neg.f32 (-.f32 (.f32 (pow.f32 normAngle 2) 0) (.f32 (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6)) (neg.f32 (pow.f32 normAngle 2)))))
(/.f32 (-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (.f32 0 (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) -1)
(neg.f32 (-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))) (.f32 0 (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6)))))
(/.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i))) (.f32 (pow.f32 normAngle 2) (.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) 2))) (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) 2)) (.f32 (pow.f32 normAngle 2) (.f32 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)) 2)))) -1)
(/.f32 (-.f32 (.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)) (.f32 2 (pow.f32 normAngle 2))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))) 1)
(-.f32 (/.f32 (.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)) (.f32 2 (pow.f32 normAngle 2))) 1) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i))))
(/.f32 (-.f32 (.f32 (pow.f32 normAngle 2) 0) (pow.f32 normAngle 2)) (neg.f32 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)))))
(/.f32 (-.f32 (pow.f32 normAngle 2) (.f32 (pow.f32 normAngle 2) 0)) (/.f32 1 (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i))))
(/.f32 (-.f32 (+.f32 (pow.f32 normAngle 2) (.f32 (pow.f32 normAngle 2) 2)) (+.f32 (.f32 (pow.f32 normAngle 2) 2) (.f32 (pow.f32 normAngle 2) 2))) (neg.f32 (/.f32 1 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)))))
(/.f32 (+.f32 (pow.f32 normAngle 2) (-.f32 (.f32 2 (pow.f32 normAngle 2)) (+.f32 (.f32 2 (pow.f32 normAngle 2)) (.f32 2 (pow.f32 normAngle 2))))) (/.f32 -1 (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i))))
(/.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)) (/.f32 1 (-.f32 (*.f32 2 (pow.f32 normAngle 2)) (pow.f32 normAngle 2))))
(/.f32 (-.f32 (.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) 0) (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i))) (neg.f32 (/.f32 1 (pow.f32 normAngle 2))))
(/.f32 (-.f32 (.f32 0 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i))) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (pow.f32 normAngle 2) (/.f32 -1 (-.f32 (.f32 0 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i))) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))))
(/.f32 (-.f32 (.f32 -1/6 n1_i) (+.f32 (.f32 n0_i -1/3) (*.f32 -1/3 n1_i))) (neg.f32 (/.f32 1 (pow.f32 normAngle 2))))
(/.f32 (-.f32 (.f32 -1/6 n1_i) (.f32 -1/3 (+.f32 n0_i n1_i))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (pow.f32 normAngle 2) (/.f32 -1 (-.f32 (.f32 -1/6 n1_i) (.f32 -1/3 (+.f32 n0_i n1_i)))))
(/.f32 (-.f32 (.f32 n0_i -1/3) (+.f32 (.f32 -1/6 n1_i) (*.f32 n0_i -2/3))) (neg.f32 (/.f32 1 (pow.f32 normAngle 2))))
(/.f32 (+.f32 (.f32 n0_i -2/3) (-.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i))) (/.f32 1 (pow.f32 normAngle 2)))
(/.f32 (pow.f32 normAngle 2) (/.f32 1 (+.f32 (.f32 n0_i -2/3) (-.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))))
(/.f32 (-.f32 (+.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) (.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) 2)) (+.f32 (.f32 (+.f32 (.f32 n0_i -1/3) (.f32 -1/6 n1_i)) 2) (.f32 (+.f32 (.f32 n0_i -1/3) (*.f32 -1/6 n1_i)) 2))) (neg.f32 (/.f32 1 (pow.f32 normAngle 2))))
(/.f32 (+.f32 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i)) (-.f32 (.f32 2 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i))) (+.f32 (.f32 2 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i))) (.f32 2 (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))))) (/.f32 -1 (pow.f32 normAngle 2)))
(/.f32 (pow.f32 normAngle 2) (/.f32 1 (-.f32 (.f32 2 (+.f32 (.f32 -1/6 n1_i) (.f32 -1/3 n0_i))) (+.f32 (.f32 -1/6 n1_i) (*.f32 -1/3 n0_i)))))
(/.f32 (-.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (.f32 n0_i 1/3)))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3)))) -1)
(neg.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))) (-.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6))))))
(neg.f32 (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n1_i 1/6) (*.f32 n0_i 1/3))))
(.f32 (+.f32 (.f32 n0_i 1/3) (*.f32 n1_i 1/6)) (neg.f32 (pow.f32 normAngle 2)))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 u (*.f32 u (-.f32 n1_i n0_i)))
✓	0.1b	(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 u (-.f32 n1_i n0_i)))))
✓	0.1b	(*.f32 u (-.f32 n1_i n0_i))
✓	22.1b	(-.f32 u (-.f32 u (*.f32 u (-.f32 n1_i n0_i))))

Compiler

Compiled 42 to 9 computations (78.6% saved)

series6.0ms (0%)

Counts

4 → 144

Calls

36 calls:

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

rewrite114.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1100×	`rational.json-1`
1100×	`rational.json-2`
1100×	`rational.json-4`
1100×	`rational.json-3`
844×	`rational.json-simplify-42`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	100
1	75	100
2	338	64
3	2404	64

Stop Event

1×	node limit

Counts

4 → 463

Calls

Call 1

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

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

simplify170.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1442×	`rational.json-simplify-3`
1340×	`rational.json-simplify-5`
1074×	`rational.json-simplify-4`
1050×	`rational.json-simplify-1`
1012×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	834	18439
1	3049	18251

Stop Event

1×	node limit

Counts

607 → 697

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

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 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(.f32 -1 (.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(.f32 -1 (.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_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 (-.f32 n1_i n0_i) u)
(.f32 -1 (.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(.f32 -1 (.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(.f32 -1 (.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) (.f32 n1_i u))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) (.f32 n1_i u))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 -1 (.f32 n0_i (+.f32 u -1)))
(.f32 (+.f32 u -1) (.f32 -1 n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 -1 (.f32 n0_i (+.f32 u -1))) (*.f32 n1_i u))
(+.f32 (.f32 (+.f32 u -1) (.f32 -1 n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 -1 (.f32 n0_i (+.f32 u -1))) (*.f32 n1_i u))
(+.f32 (.f32 (+.f32 u -1) (.f32 -1 n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 -1 (.f32 n0_i (+.f32 u -1))) (*.f32 n1_i u))
(+.f32 (.f32 (+.f32 u -1) (.f32 -1 n0_i)) (*.f32 n1_i u))
n0_i
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n1_i u)))
(*.f32 (-.f32 (+.f32 1 n0_i) n1_i) u)
(*.f32 u (+.f32 n0_i (-.f32 1 n1_i)))
(*.f32 (-.f32 (+.f32 1 n0_i) n1_i) u)
(*.f32 u (+.f32 n0_i (-.f32 1 n1_i)))
(*.f32 (-.f32 (+.f32 1 n0_i) n1_i) u)
(*.f32 u (+.f32 n0_i (-.f32 1 n1_i)))
(*.f32 (-.f32 (+.f32 1 n0_i) n1_i) u)
(*.f32 u (+.f32 n0_i (-.f32 1 n1_i)))
(*.f32 (-.f32 (+.f32 1 n0_i) n1_i) u)
(*.f32 u (+.f32 n0_i (-.f32 1 n1_i)))
(*.f32 (-.f32 (+.f32 1 n0_i) n1_i) u)
(*.f32 u (+.f32 n0_i (-.f32 1 n1_i)))
(*.f32 (-.f32 (+.f32 1 n0_i) n1_i) u)
(*.f32 u (+.f32 n0_i (-.f32 1 n1_i)))
(*.f32 (-.f32 (+.f32 1 n0_i) n1_i) u)
(*.f32 u (+.f32 n0_i (-.f32 1 n1_i)))
(.f32 (+.f32 1 (.f32 -1 (-.f32 n1_i n0_i))) u)
(.f32 u (+.f32 1 (.f32 (-.f32 n1_i n0_i) -1)))
(.f32 (+.f32 1 (.f32 -1 (-.f32 n1_i n0_i))) u)
(.f32 u (+.f32 1 (.f32 (-.f32 n1_i n0_i) -1)))
(.f32 (+.f32 1 (.f32 -1 (-.f32 n1_i n0_i))) u)
(.f32 u (+.f32 1 (.f32 (-.f32 n1_i n0_i) -1)))
(.f32 (+.f32 1 (.f32 -1 (-.f32 n1_i n0_i))) u)
(.f32 u (+.f32 1 (.f32 (-.f32 n1_i n0_i) -1)))
(-.f32 u (.f32 -1 (.f32 u n0_i)))
(-.f32 u (*.f32 n0_i (neg.f32 u)))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) u) (.f32 -1 (.f32 u n0_i)))
(-.f32 (+.f32 u (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u)))
(+.f32 u (-.f32 (.f32 n1_i (neg.f32 u)) (.f32 n0_i (neg.f32 u))))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) u) (.f32 -1 (.f32 u n0_i)))
(-.f32 (+.f32 u (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u)))
(+.f32 u (-.f32 (.f32 n1_i (neg.f32 u)) (.f32 n0_i (neg.f32 u))))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) u) (.f32 -1 (.f32 u n0_i)))
(-.f32 (+.f32 u (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u)))
(+.f32 u (-.f32 (.f32 n1_i (neg.f32 u)) (.f32 n0_i (neg.f32 u))))
(.f32 -1 (.f32 n1_i u))
(*.f32 n1_i (neg.f32 u))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) u) (.f32 -1 (.f32 u n0_i)))
(-.f32 (+.f32 u (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u)))
(+.f32 u (-.f32 (.f32 n1_i (neg.f32 u)) (.f32 n0_i (neg.f32 u))))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) u) (.f32 -1 (.f32 u n0_i)))
(-.f32 (+.f32 u (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u)))
(+.f32 u (-.f32 (.f32 n1_i (neg.f32 u)) (.f32 n0_i (neg.f32 u))))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) u) (.f32 -1 (.f32 u n0_i)))
(-.f32 (+.f32 u (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u)))
(+.f32 u (-.f32 (.f32 n1_i (neg.f32 u)) (.f32 n0_i (neg.f32 u))))
(.f32 -1 (.f32 n1_i u))
(*.f32 n1_i (neg.f32 u))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) u) (.f32 -1 (.f32 u n0_i)))
(-.f32 (+.f32 u (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u)))
(+.f32 u (-.f32 (.f32 n1_i (neg.f32 u)) (.f32 n0_i (neg.f32 u))))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) u) (.f32 -1 (.f32 u n0_i)))
(-.f32 (+.f32 u (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u)))
(+.f32 u (-.f32 (.f32 n1_i (neg.f32 u)) (.f32 n0_i (neg.f32 u))))
(-.f32 (+.f32 (.f32 -1 (.f32 n1_i u)) u) (.f32 -1 (.f32 u n0_i)))
(-.f32 (+.f32 u (.f32 n1_i (neg.f32 u))) (.f32 n0_i (neg.f32 u)))
(+.f32 u (-.f32 (.f32 n1_i (neg.f32 u)) (.f32 n0_i (neg.f32 u))))
(-.f32 u (*.f32 n1_i u))
(-.f32 (+.f32 (.f32 u n0_i) u) (.f32 n1_i u))
(+.f32 u (*.f32 u (-.f32 n0_i n1_i)))
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(-.f32 u (*.f32 (-.f32 n1_i n0_i) u))
(/.f32 1/2 (/.f32 1 (.f32 (+.f32 u (.f32 u (-.f32 n0_i n1_i))) 2)))
(/.f32 (.f32 2 (+.f32 u (.f32 u (-.f32 n0_i n1_i)))) 2)
(/.f32 1/2 (/.f32 -1 (.f32 (-.f32 (.f32 u (-.f32 n1_i n0_i)) u) 2)))
(/.f32 (.f32 (-.f32 (.f32 (-.f32 n1_i n0_i) u) u) 2) -2)
(neg.f32 (-.f32 (*.f32 u (-.f32 n1_i n0_i)) u))
(neg.f32 (-.f32 (*.f32 (-.f32 n1_i n0_i) u) u))
(-.f32 u (*.f32 (-.f32 n1_i n0_i) u))

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 11 computations (78.8% saved)

series6.0ms (0%)

Counts

4 → 108

Calls

30 calls:

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

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`rational.json-1`
886×	`rational.json-2`
886×	`rational.json-4`
886×	`rational.json-3`
786×	`rational.json-simplify-23`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	12	94
1	76	76
2	277	76
3	1827	64

Stop Event

1×	node limit

Counts

4 → 376

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (+.f32 (.f32 u n1_i) (-.f32 n0_i (+.f32 n0_i (.f32 n0_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (-.f32 (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i)) (.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (+.f32 n0_i (.f32 n0_i u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 n0_i (.f32 1 (+.f32 (.f32 u n1_i) (-.f32 n0_i (+.f32 n0_i (.f32 n0_i u))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 (+.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 1/2 (+.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (-.f32 (.f32 n0_i u) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n1_i (+.f32 u u)) (-.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n1_i (+.f32 u u)) (-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (neg.f32 (.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (-.f32 n0_i (.f32 n0_i u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (-.f32 n1_i n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 n1_i n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (-.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 n1_i n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (.f32 1 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 n1_i n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (.f32 1 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (.f32 1 (-.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 n1_i n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (.f32 1/2 (+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (-.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 n0_i n0_i) (-.f32 (.f32 u n1_i) (+.f32 n0_i (.f32 n0_i u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 n0_i n0_i) (-.f32 (-.f32 (.f32 n1_i (+.f32 u u)) (+.f32 n0_i (.f32 n0_i u))) (.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 n0_i n0_i) (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (+.f32 (.f32 n0_i u) (.f32 n0_i 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2) (neg.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2) (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 (.f32 u n1_i) (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u n1_i)) (.f32 n1_i (+.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))) (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (.f32 u n1_i)) (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x 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n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (-.f32 n1_i n0_i)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 u n1_i) (+.f32 n0_i (.f32 n0_i u))) (+.f32 n0_i n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i u) n0_i)) (.f32 (-.f32 n0_i (.f32 n0_i u)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 u n1_i) (+.f32 (.f32 n0_i u) (.f32 n0_i 3))) (.f32 (+.f32 n0_i n0_i) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))) (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (+.f32 (.f32 u n1_i) (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 3))) (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i)) (.f32 u n1_i)) n0_i)))) 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simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1654×	`rational.json-simplify-3`
1520×	`rational.json-simplify-5`
1514×	`rational.json-simplify-2`
1056×	`rational.json-simplify-4`
920×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	777	18448
1	3007	18246

Stop Event

1×	node limit

Counts

484 → 720

Calls

Call 1

Inputs
(-.f32 (.f32 2 (.f32 n1_i u)) (*.f32 n1_i u))
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (.f32 n1_i u))) (.f32 n1_i u))
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (.f32 n1_i u))) (.f32 n1_i u))
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (.f32 n1_i u))) (.f32 n1_i u))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (-.f32 1 u) n0_i)) (.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (-.f32 1 u) n0_i)) (.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (-.f32 1 u) n0_i)) (.f32 n1_i u))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (*.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (*.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (*.f32 n1_i u))
n0_i
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (+.f32 (.f32 -1 n1_i) (*.f32 -1 n0_i))) u))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (+.f32 (.f32 -1 n1_i) (*.f32 -1 n0_i))) u)) n0_i)
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (+.f32 (.f32 -1 n1_i) (*.f32 -1 n0_i))) u)) n0_i)
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (+.f32 (.f32 -1 n1_i) (*.f32 -1 n0_i))) u)) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(.f32 (-.f32 (.f32 2 u) u) n1_i)
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(.f32 -1 (.f32 (-.f32 (.f32 -2 u) (.f32 -1 u)) n1_i))
(-.f32 (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 u) (.f32 -1 u)) n1_i)) n0_i) (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 u) (.f32 -1 u)) n1_i)) n0_i) (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 u) (.f32 -1 u)) n1_i)) n0_i) (*.f32 u n0_i))
(.f32 2 (.f32 n1_i u))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (*.f32 n1_i u)))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (*.f32 n1_i u)))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
n0_i
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(.f32 (-.f32 (.f32 2 n1_i) n0_i) u)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (.f32 -1 n0_i)) u))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (.f32 -1 n0_i)) u)) n0_i)
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (.f32 -1 n0_i)) u)) n0_i)
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (.f32 -1 n0_i)) u)) n0_i)
(-.f32 n0_i (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(.f32 2 (.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(.f32 2 (.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(.f32 (+.f32 1 (.f32 -1 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 (.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 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(*.f32 n0_i u)
(+.f32 n0_i (+.f32 (.f32 u n1_i) (-.f32 n0_i (+.f32 n0_i (.f32 n0_i u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (-.f32 (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i)) (.f32 u n1_i)))
(+.f32 n0_i (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (+.f32 n0_i (*.f32 n0_i u)))))
(+.f32 n0_i (.f32 1 (+.f32 (.f32 u n1_i) (-.f32 n0_i (+.f32 n0_i (*.f32 n0_i u))))))
(+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u n1_i))
(+.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 (+.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))))
(+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 1/2 (+.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (-.f32 (.f32 n0_i u) n0_i))))
(+.f32 (.f32 n1_i (+.f32 u u)) (-.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 u n1_i)))
(+.f32 (.f32 n1_i (+.f32 u u)) (-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))))
(+.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))
(+.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (neg.f32 (.f32 u n1_i)))
(+.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3))))))
(+.f32 (.f32 u n1_i) (-.f32 n0_i (.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 u (-.f32 n1_i n1_i))))
(+.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 n1_i n1_i)))
(+.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 u u)))
(+.f32 (.f32 u n1_i) (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (*.f32 u n1_i)))
(+.f32 (.f32 u n1_i) (-.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 n1_i n1_i)))
(+.f32 (.f32 u n1_i) (.f32 1 (+.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 n1_i n1_i))))
(+.f32 (.f32 u n1_i) (.f32 1 (+.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 u u))))
(+.f32 (.f32 u n1_i) (.f32 1 (-.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 n1_i n1_i))))
(+.f32 (.f32 u n1_i) (.f32 1/2 (+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (-.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 u n1_i)))))
(+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0)
(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0))
(+.f32 0 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))
(+.f32 (+.f32 n0_i n0_i) (-.f32 (.f32 u n1_i) (+.f32 n0_i (.f32 n0_i u))))
(+.f32 (+.f32 n0_i n0_i) (-.f32 (-.f32 (.f32 n1_i (+.f32 u u)) (+.f32 n0_i (.f32 n0_i u))) (*.f32 u n1_i)))
(+.f32 (+.f32 n0_i n0_i) (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (+.f32 (.f32 n0_i u) (.f32 n0_i 3)))))
(+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2) (neg.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (*.f32 n1_i 3)))))
(+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2) (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 (.f32 u n1_i) (.f32 (+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 3)))))
(+.f32 (-.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u n1_i)) (*.f32 n1_i (+.f32 u u)))
(+.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))) (+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))))
(+.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2))
(+.f32 (neg.f32 (.f32 u n1_i)) (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))))
(+.f32 (neg.f32 (.f32 u n1_i)) (.f32 -1 (-.f32 (.f32 u (-.f32 n1_i n1_i)) (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))))))
(+.f32 (neg.f32 (.f32 u n1_i)) (/.f32 (-.f32 (.f32 u (-.f32 n1_i n1_i)) (+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i)))) -1))
(+.f32 (.f32 n1_i (.f32 2 (neg.f32 u))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (*.f32 n1_i 3))))
(+.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i)))) (.f32 -1 (-.f32 (.f32 u n1_i) (.f32 (+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2))))
(+.f32 (neg.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i)))) (/.f32 (-.f32 (.f32 u n1_i) (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2)) -1))
(+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(+.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2) 2) (neg.f32 (+.f32 (.f32 u n1_i) (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 3))))
(+.f32 (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2) 2) (.f32 1 (neg.f32 (+.f32 (.f32 u n1_i) (.f32 (+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 3)))))
(+.f32 (/.f32 (+.f32 u u) (/.f32 1/2 n1_i)) (-.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (*.f32 n1_i 3))))
(+.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) 2) (+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i u) n0_i)))
(+.f32 (.f32 (+.f32 n0_i n0_i) 2) (-.f32 (.f32 u n1_i) (+.f32 (.f32 n0_i u) (.f32 n0_i 3))))
(+.f32 (.f32 (+.f32 n0_i n0_i) 2) (.f32 1 (-.f32 (.f32 u n1_i) (+.f32 (.f32 n0_i u) (*.f32 n0_i 3)))))
(+.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (-.f32 n1_i n1_i))) (*.f32 u n1_i))
(+.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 n1_i n1_i)) (.f32 u n1_i))
(+.f32 (+.f32 (.f32 u n1_i) (-.f32 n0_i (+.f32 n0_i (.f32 n0_i u)))) n0_i)
(+.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 u u)) (.f32 u n1_i))
(+.f32 (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u n1_i)) (*.f32 u n1_i))
(+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 0) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))
(+.f32 (-.f32 (-.f32 n0_i (.f32 n0_i u)) (-.f32 n1_i n1_i)) (.f32 u n1_i))
(+.f32 (-.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (*.f32 n1_i 3))) (/.f32 (+.f32 u u) (/.f32 1/2 n1_i)))
(+.f32 (*.f32 u (-.f32 n1_i n0_i)) n0_i)
(+.f32 (-.f32 (.f32 u n1_i) (+.f32 n0_i (.f32 n0_i u))) (+.f32 n0_i n0_i))
(+.f32 (+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i u) n0_i)) (.f32 (-.f32 n0_i (.f32 n0_i u)) 2))
(+.f32 (-.f32 (.f32 u n1_i) (+.f32 (.f32 n0_i u) (.f32 n0_i 3))) (.f32 (+.f32 n0_i n0_i) 2))
(+.f32 (neg.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))) (.f32 (+.f32 n0_i (*.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2))
(+.f32 (neg.f32 (+.f32 (.f32 u n1_i) (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 3))) (.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) 2) 2))
(+.f32 (-.f32 (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i)) (.f32 u n1_i)) n0_i)
(+.f32 (-.f32 (-.f32 (.f32 n1_i (+.f32 u u)) (+.f32 n0_i (.f32 n0_i u))) (*.f32 u n1_i)) (+.f32 n0_i n0_i))
(+.f32 (-.f32 (+.f32 (.f32 u n1_i) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))) (-.f32 n0_i (.f32 n0_i u)))
(+.f32 (-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 u (.f32 n1_i 3)))) (.f32 n1_i (+.f32 u u)))
(+.f32 (.f32 n0_i 1/2) (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (.f32 n0_i u))))
(+.f32 (.f32 n0_i 1/2) (.f32 1/2 (+.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (-.f32 n0_i (+.f32 n0_i (.f32 n0_i u))))))
(+.f32 (.f32 (.f32 u n1_i) 1/2) (.f32 1/2 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))
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(-.f32 (.f32 (.f32 (.f32 n0_i u) 3) 1/2) (.f32 1/2 (*.f32 n0_i u)))
(/.f32 n0_i (/.f32 1 u))
(/.f32 n0_i (neg.f32 (/.f32 -1 u)))
(/.f32 u (/.f32 1 n0_i))
(/.f32 u (neg.f32 (/.f32 -1 n0_i)))
(/.f32 (*.f32 n0_i u) 1)
(/.f32 (+.f32 u u) (/.f32 (/.f32 1 n0_i) 1/2))
(/.f32 1 (/.f32 1 (*.f32 n0_i u)))
(/.f32 (+.f32 n0_i n0_i) (/.f32 (/.f32 1 u) 1/2))
(/.f32 (*.f32 n0_i (neg.f32 u)) -1)
(/.f32 -1 (/.f32 1 (*.f32 n0_i (neg.f32 u))))
(/.f32 (neg.f32 n0_i) (/.f32 -1 u))
(/.f32 (neg.f32 u) (/.f32 -1 n0_i))
(/.f32 1/2 (/.f32 (/.f32 1/2 u) n0_i))
(/.f32 1/2 (/.f32 (/.f32 1/2 n0_i) u))
(/.f32 1/2 (/.f32 (/.f32 1 n0_i) (+.f32 u u)))
(/.f32 1/2 (/.f32 (/.f32 1 u) (+.f32 n0_i n0_i)))
(/.f32 1/2 (/.f32 1 (*.f32 n0_i (+.f32 u u))))
(/.f32 1/2 (/.f32 -1 (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n0_i (neg.f32 u)))))
(/.f32 (*.f32 n0_i 1/2) (/.f32 1/2 u))
(/.f32 (*.f32 u 1/2) (/.f32 1/2 n0_i))
(/.f32 (-.f32 (.f32 n0_i 3) (.f32 (+.f32 n0_i n0_i) 2)) (/.f32 -1 u))
(/.f32 (-.f32 (.f32 u 3) (+.f32 u (.f32 u 3))) (/.f32 -1 n0_i))
(/.f32 (-.f32 (+.f32 u u) (-.f32 (+.f32 u u) (neg.f32 u))) (/.f32 -1 n0_i))
(/.f32 (-.f32 (.f32 n0_i (-.f32 u u)) (.f32 n0_i u)) -1)
(/.f32 (-.f32 (.f32 (.f32 n0_i u) 3) (.f32 (.f32 n0_i (+.f32 u u)) 2)) -1)
(/.f32 (-.f32 (-.f32 u u) u) (/.f32 -1 n0_i))
(/.f32 (.f32 (+.f32 (.f32 n0_i (neg.f32 u)) (*.f32 n0_i (neg.f32 u))) 1/2) -1)
(neg.f32 (*.f32 n0_i (neg.f32 u)))

Outputs
(-.f32 (.f32 2 (.f32 n1_i u)) (*.f32 n1_i u))
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (.f32 n1_i u))) (.f32 n1_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i u)))
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (.f32 n1_i u))) (.f32 n1_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i u)))
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (.f32 n1_i u))) (.f32 n1_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i u)))
(*.f32 (-.f32 1 u) n0_i)
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (-.f32 1 u) n0_i)) (.f32 n1_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i u)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (-.f32 1 u) n0_i)) (.f32 n1_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i u)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (-.f32 1 u) n0_i)) (.f32 n1_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i u)))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (*.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 n0_i (+.f32 1 (neg.f32 u)))) (.f32 n1_i u))
(+.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) (-.f32 (.f32 2 (.f32 n1_i u)) (.f32 n1_i u)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (*.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 n0_i (+.f32 1 (neg.f32 u)))) (.f32 n1_i u))
(+.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) (-.f32 (.f32 2 (.f32 n1_i u)) (.f32 n1_i u)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i)) (*.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) (.f32 n0_i (+.f32 1 (neg.f32 u)))) (.f32 n1_i u))
(+.f32 (.f32 n0_i (+.f32 1 (neg.f32 u))) (-.f32 (.f32 2 (.f32 n1_i u)) (.f32 n1_i u)))
n0_i
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i))))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i))))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i))))
(.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u)
(.f32 u (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i))))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i))))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) (+.f32 n1_i n0_i))))
(.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (+.f32 (.f32 -1 n1_i) (*.f32 -1 n0_i))) u))
(.f32 (-.f32 (.f32 n1_i -2) (+.f32 (*.f32 n1_i -1) (neg.f32 n0_i))) (neg.f32 u))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (+.f32 (.f32 -1 n1_i) (*.f32 -1 n0_i))) u)) n0_i)
(+.f32 n0_i (.f32 (-.f32 (.f32 n1_i -2) (+.f32 (*.f32 n1_i -1) (neg.f32 n0_i))) (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (+.f32 (.f32 -1 n1_i) (*.f32 -1 n0_i))) u)) n0_i)
(+.f32 n0_i (.f32 (-.f32 (.f32 n1_i -2) (+.f32 (*.f32 n1_i -1) (neg.f32 n0_i))) (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (+.f32 (.f32 -1 n1_i) (*.f32 -1 n0_i))) u)) n0_i)
(+.f32 n0_i (.f32 (-.f32 (.f32 n1_i -2) (+.f32 (*.f32 n1_i -1) (neg.f32 n0_i))) (neg.f32 u)))
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(+.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 n0_i (-.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(+.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 n0_i (-.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(+.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 n0_i (-.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (*.f32 u n0_i)))
(.f32 (-.f32 (.f32 2 u) u) n1_i)
(.f32 n1_i (-.f32 (.f32 2 u) u))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(+.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 n0_i (-.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(+.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 n0_i (-.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 u) u) n1_i) n0_i) (*.f32 u n0_i))
(+.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (-.f32 n0_i (*.f32 u n0_i)))
(+.f32 n0_i (-.f32 (.f32 n1_i (-.f32 (.f32 2 u) u)) (*.f32 u n0_i)))
(.f32 -1 (.f32 (-.f32 (.f32 -2 u) (.f32 -1 u)) n1_i))
(.f32 -1 (.f32 n1_i (-.f32 (*.f32 u -2) (neg.f32 u))))
(.f32 (-.f32 (.f32 u -2) (neg.f32 u)) (*.f32 n1_i -1))
(-.f32 (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 u) (.f32 -1 u)) n1_i)) n0_i) (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 n1_i (-.f32 (.f32 u -2) (neg.f32 u)))) (-.f32 n0_i (.f32 u n0_i)))
(+.f32 (.f32 (-.f32 (.f32 u -2) (neg.f32 u)) (.f32 n1_i -1)) (-.f32 n0_i (.f32 u n0_i)))
(-.f32 (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 u) (.f32 -1 u)) n1_i)) n0_i) (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 n1_i (-.f32 (.f32 u -2) (neg.f32 u)))) (-.f32 n0_i (.f32 u n0_i)))
(+.f32 (.f32 (-.f32 (.f32 u -2) (neg.f32 u)) (.f32 n1_i -1)) (-.f32 n0_i (.f32 u n0_i)))
(-.f32 (+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 u) (.f32 -1 u)) n1_i)) n0_i) (*.f32 u n0_i))
(+.f32 (.f32 -1 (.f32 n1_i (-.f32 (.f32 u -2) (neg.f32 u)))) (-.f32 n0_i (.f32 u n0_i)))
(+.f32 (.f32 (-.f32 (.f32 u -2) (neg.f32 u)) (.f32 n1_i -1)) (-.f32 n0_i (.f32 u n0_i)))
(.f32 2 (.f32 n1_i u))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (*.f32 n1_i u)))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (*.f32 n1_i u)))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 2 (*.f32 n1_i u)))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 (-.f32 1 u) n0_i))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 2 (.f32 n1_i u)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (.f32 2 (.f32 n1_i u)) (*.f32 n0_i (+.f32 1 (neg.f32 u))))
n0_i
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) n0_i)))
(.f32 (-.f32 (.f32 2 n1_i) n0_i) u)
(.f32 u (-.f32 (.f32 2 n1_i) n0_i))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i)
(+.f32 n0_i (.f32 u (-.f32 (.f32 2 n1_i) n0_i)))
(.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (.f32 -1 n0_i)) u))
(.f32 (-.f32 (.f32 n1_i -2) (neg.f32 n0_i)) (neg.f32 u))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (.f32 -1 n0_i)) u)) n0_i)
(+.f32 n0_i (.f32 (-.f32 (.f32 n1_i -2) (neg.f32 n0_i)) (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (.f32 -1 n0_i)) u)) n0_i)
(+.f32 n0_i (.f32 (-.f32 (.f32 n1_i -2) (neg.f32 n0_i)) (neg.f32 u)))
(+.f32 (.f32 -1 (.f32 (-.f32 (.f32 -2 n1_i) (.f32 -1 n0_i)) u)) n0_i)
(+.f32 n0_i (.f32 (-.f32 (.f32 n1_i -2) (neg.f32 n0_i)) (neg.f32 u)))
(-.f32 n0_i (*.f32 n0_i u))
(-.f32 n0_i (*.f32 u n0_i))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 n0_i (*.f32 u n0_i)))
(.f32 2 (.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 n0_i (*.f32 u n0_i)))
(.f32 2 (.f32 n1_i u))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 n0_i (*.f32 u n0_i)))
(-.f32 (+.f32 (.f32 2 (.f32 n1_i u)) n0_i) (*.f32 n0_i u))
(+.f32 (.f32 2 (.f32 n1_i u)) (-.f32 n0_i (*.f32 u n0_i)))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(*.f32 (-.f32 1 u) n0_i)
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
n0_i
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(.f32 -1 (.f32 u n0_i))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(.f32 -1 (.f32 u n0_i))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(*.f32 n0_i u)
(*.f32 u n0_i)
(+.f32 n0_i (+.f32 (.f32 u n1_i) (-.f32 n0_i (+.f32 n0_i (.f32 n0_i u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 n0_i (-.f32 (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i)) (.f32 u n1_i)))
(+.f32 (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i))) (-.f32 n0_i (.f32 n1_i u)))
(+.f32 n0_i (.f32 1/2 (-.f32 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))) (+.f32 n0_i (*.f32 n0_i u)))))
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(-.f32 (.f32 (+.f32 u (.f32 u 3)) n0_i) (.f32 (.f32 n0_i u) 3))
(-.f32 (.f32 n0_i (+.f32 u (.f32 u 3))) (.f32 (.f32 u n0_i) 3))
(-.f32 (.f32 (-.f32 u u) -1) (.f32 n0_i (neg.f32 u)))
(-.f32 (neg.f32 (-.f32 u u)) (*.f32 n0_i (neg.f32 u)))
(-.f32 (.f32 (-.f32 (+.f32 u u) (neg.f32 u)) n0_i) (.f32 n0_i (+.f32 u u)))
(*.f32 n0_i (-.f32 (-.f32 (+.f32 u u) (neg.f32 u)) (+.f32 u u)))
(*.f32 n0_i (-.f32 (-.f32 u u) (neg.f32 u)))
(-.f32 (.f32 (.f32 (+.f32 n0_i n0_i) 2) u) (.f32 (.f32 n0_i u) 3))
(-.f32 (.f32 u (.f32 2 (+.f32 n0_i n0_i))) (.f32 (.f32 u n0_i) 3))
(-.f32 (.f32 (-.f32 n0_i n0_i) -1) (.f32 n0_i (neg.f32 u)))
(-.f32 (neg.f32 (-.f32 n0_i n0_i)) (*.f32 n0_i (neg.f32 u)))
(-.f32 (.f32 (.f32 (.f32 n0_i u) 3) 1/2) (.f32 1/2 (*.f32 n0_i u)))
(.f32 1/2 (-.f32 (.f32 (.f32 u n0_i) 3) (.f32 u n0_i)))
(/.f32 n0_i (/.f32 1 u))
(*.f32 u n0_i)
(/.f32 n0_i (neg.f32 (/.f32 -1 u)))
(/.f32 u (/.f32 1 n0_i))
(*.f32 u n0_i)
(/.f32 u (neg.f32 (/.f32 -1 n0_i)))
(/.f32 (*.f32 n0_i u) 1)
(*.f32 u n0_i)
(/.f32 (+.f32 u u) (/.f32 (/.f32 1 n0_i) 1/2))
(*.f32 u n0_i)
(/.f32 1 (/.f32 1 (*.f32 n0_i u)))
(*.f32 u n0_i)
(/.f32 (+.f32 n0_i n0_i) (/.f32 (/.f32 1 u) 1/2))
(*.f32 u n0_i)
(/.f32 (*.f32 n0_i (neg.f32 u)) -1)
(*.f32 (neg.f32 u) (neg.f32 n0_i))
(/.f32 -1 (/.f32 1 (*.f32 n0_i (neg.f32 u))))
(*.f32 (neg.f32 u) (neg.f32 n0_i))
(/.f32 (neg.f32 n0_i) (/.f32 -1 u))
(*.f32 (neg.f32 n0_i) (neg.f32 u))
(/.f32 (neg.f32 u) (/.f32 -1 n0_i))
(*.f32 (neg.f32 u) (neg.f32 n0_i))
(/.f32 1/2 (/.f32 (/.f32 1/2 u) n0_i))
(*.f32 1/2 (/.f32 n0_i (/.f32 1/2 u)))
(*.f32 1/2 (/.f32 u (/.f32 1/2 n0_i)))
(/.f32 1/2 (/.f32 (/.f32 1/2 n0_i) u))
(*.f32 1/2 (/.f32 n0_i (/.f32 1/2 u)))
(*.f32 1/2 (/.f32 u (/.f32 1/2 n0_i)))
(/.f32 1/2 (/.f32 (/.f32 1 n0_i) (+.f32 u u)))
(*.f32 u n0_i)
(/.f32 1/2 (/.f32 (/.f32 1 u) (+.f32 n0_i n0_i)))
(*.f32 u n0_i)
(/.f32 1/2 (/.f32 1 (*.f32 n0_i (+.f32 u u))))
(*.f32 u n0_i)
(/.f32 1/2 (/.f32 -1 (+.f32 (.f32 n0_i (neg.f32 u)) (.f32 n0_i (neg.f32 u)))))
(/.f32 (*.f32 (+.f32 n0_i n0_i) (neg.f32 u)) -2)
(/.f32 (*.f32 n0_i 1/2) (/.f32 1/2 u))
(*.f32 1/2 (/.f32 n0_i (/.f32 1/2 u)))
(*.f32 1/2 (/.f32 u (/.f32 1/2 n0_i)))
(/.f32 (*.f32 u 1/2) (/.f32 1/2 n0_i))
(*.f32 1/2 (/.f32 n0_i (/.f32 1/2 u)))
(*.f32 1/2 (/.f32 u (/.f32 1/2 n0_i)))
(/.f32 (-.f32 (.f32 n0_i 3) (.f32 (+.f32 n0_i n0_i) 2)) (/.f32 -1 u))
(.f32 (-.f32 (.f32 n0_i 3) (*.f32 2 (+.f32 n0_i n0_i))) (neg.f32 u))
(/.f32 (-.f32 (.f32 u 3) (+.f32 u (.f32 u 3))) (/.f32 -1 n0_i))
(.f32 (-.f32 (.f32 u 3) (+.f32 u (*.f32 u 3))) (neg.f32 n0_i))
(/.f32 (-.f32 (+.f32 u u) (-.f32 (+.f32 u u) (neg.f32 u))) (/.f32 -1 n0_i))
(*.f32 (-.f32 (neg.f32 u) (-.f32 u u)) (neg.f32 n0_i))
(/.f32 (-.f32 (.f32 n0_i (-.f32 u u)) (.f32 n0_i u)) -1)
(*.f32 u n0_i)
(/.f32 (-.f32 (.f32 (.f32 n0_i u) 3) (.f32 (.f32 n0_i (+.f32 u u)) 2)) -1)
(neg.f32 (-.f32 (.f32 (.f32 u n0_i) 3) (.f32 2 (.f32 n0_i (+.f32 u u)))))
(/.f32 (-.f32 (-.f32 u u) u) (/.f32 -1 n0_i))
(*.f32 (-.f32 (-.f32 u u) u) (neg.f32 n0_i))
(/.f32 (.f32 (+.f32 (.f32 n0_i (neg.f32 u)) (*.f32 n0_i (neg.f32 u))) 1/2) -1)
(/.f32 (*.f32 (+.f32 n0_i n0_i) (neg.f32 u)) -2)
(neg.f32 (*.f32 n0_i (neg.f32 u)))
(*.f32 (neg.f32 u) (neg.f32 n0_i))

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 46 to 10 computations (78.3% saved)

series10.0ms (0.1%)

Counts

3 → 132

Calls

33 calls:

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

rewrite75.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1194×	`rational.json-1`
1194×	`rational.json-2`
1194×	`rational.json-4`
1194×	`rational.json-3`
856×	`rational.json-simplify-67`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	79
1	88	79
2	377	79
3	2419	79

Stop Event

1×	node limit

Counts

3 → 251

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (/.f32 0 (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (*.f32 normAngle (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (neg.f32 (/.f32 0 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (/.f32 (-.f32 normAngle normAngle) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (/.f32 0 (/.f32 (sin.f32 normAngle) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (/.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (/.f32 0 (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (/.f32 0 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (*.f32 0 (/.f32 normAngle (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) (/.f32 -1 (/.f32 (sin.f32 normAngle) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 (sin.f32 normAngle)) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (/.f32 normAngle (neg.f32 (sin.f32 normAngle)))) (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))) (*.f32 normAngle (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))) (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (/.f32 (sin.f32 normAngle) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (sin.f32 normAngle))) (*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) 2)) (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (/.f32 normAngle (neg.f32 (sin.f32 normAngle)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 normAngle (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0)) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))) 0) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 0 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 normAngle normAngle) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 (/.f32 (sin.f32 normAngle) normAngle)) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 0) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 0 (*.f32 (sin.f32 normAngle) 2)) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 normAngle n0_i) (*.f32 (sin.f32 normAngle) 2)) (/.f32 (*.f32 normAngle (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))) (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (/.f32 0 (sin.f32 normAngle))) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 0 (/.f32 normAngle (sin.f32 normAngle))) (*.f32 normAngle (/.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n0_i (*.f32 n0_i u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 normAngle (sin.f32 normAngle)) (-.f32 n0_i (*.f32 n0_i u))) (*.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (/.f32 1/2 (sin.f32 normAngle))) (*.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 normAngle n0_i) (/.f32 1/2 (sin.f32 normAngle))) (*.f32 (/.f32 1/2 (sin.f32 normAngle)) (*.f32 normAngle (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 1/2 (sin.f32 normAngle)) (*.f32 normAngle (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))) (*.f32 (*.f32 normAngle n0_i) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 u (-.f32 n1_i n0_i)) (/.f32 (sin.f32 normAngle) normAngle)) (*.f32 normAngle (/.f32 n0_i (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 u n1_i) (/.f32 (sin.f32 normAngle) normAngle)) (/.f32 (-.f32 n0_i (*.f32 n0_i u)) (/.f32 (sin.f32 normAngle) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (-.f32 n0_i (*.f32 n0_i u)) (/.f32 (sin.f32 normAngle) normAngle)) (/.f32 (*.f32 u n1_i) (/.f32 (sin.f32 normAngle) normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (*.f32 (sin.f32 normAngle) 2)) (/.f32 (*.f32 normAngle (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (*.f32 (sin.f32 normAngle) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 normAngle (+.f32 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(-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (-.f32 u u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) (+.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) (*.f32 (-.f32 n1_i n0_i) 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (*.f32 n1_i (+.f32 u u))) (*.f32 u (+.f32 n0_i n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) (+.f32 u u))) (*.f32 u (-.f32 n1_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i n0_i)) n0_i)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 n0_i (*.f32 u n1_i)) (+.f32 n0_i (*.f32 u n1_i))) (+.f32 (*.f32 n0_i u) (+.f32 n0_i (*.f32 u n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) 2) (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 n0_i (+.f32 u u)) (+.f32 (*.f32 n0_i u) (-.f32 (+.f32 n0_i (*.f32 u n1_i)) (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (-.f32 u u) (-.f32 u u)) (+.f32 (-.f32 u u) (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 n0_i (*.f32 n1_i (+.f32 u u))) (+.f32 n0_i (*.f32 n1_i (+.f32 u u)))) (+.f32 (+.f32 n0_i (*.f32 n1_i (+.f32 u u))) (*.f32 u (+.f32 n0_i n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) (+.f32 u u))) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) (+.f32 u u)))) (+.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) (+.f32 u u))) (*.f32 u (-.f32 n1_i n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i n0_i)) (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i n0_i))) (+.f32 (+.f32 (*.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i n0_i)) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (+.f32 (+.f32 n0_i (*.f32 u n1_i)) (+.f32 n0_i (*.f32 u n1_i))) (+.f32 (+.f32 n0_i (*.f32 u n1_i)) (+.f32 n0_i (*.f32 u n1_i)))) (+.f32 (+.f32 (+.f32 n0_i (*.f32 u n1_i)) (+.f32 n0_i (*.f32 u n1_i))) (+.f32 (*.f32 n0_i u) (+.f32 n0_i (*.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) 2) (*.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) 2)) (+.f32 (*.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) 2) (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (-.f32 n0_i (*.f32 n0_i u)) (-.f32 n0_i (*.f32 n0_i u))) (+.f32 (-.f32 n0_i (*.f32 n0_i u)) (*.f32 n1_i (neg.f32 u))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (+.f32 n0_i n0_i) (*.f32 (-.f32 n1_i n0_i) (+.f32 u u))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 (-.f32 n1_i n0_i) (+.f32 u u)) (+.f32 n0_i n0_i)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (+.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1/2 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (+.f32 (neg.f32 n0_i) (*.f32 u (-.f32 n0_i n1_i))) (+.f32 (neg.f32 n0_i) (*.f32 u (-.f32 n0_i n1_i)))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 n0_i) (*.f32 u (-.f32 n0_i n1_i))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (+.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))) (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))) (+.f32 (neg.f32 n0_i) (*.f32 u (-.f32 n0_i n1_i)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (neg.f32 n0_i) (*.f32 u (-.f32 n0_i n1_i))))))))

simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

890×	`rational.json-simplify-24`
682×	`rational.json-simplify-2`
604×	`rational.json-simplify-5`
506×	`rational.json-simplify-1`
504×	`rational.json-simplify-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	14295
1	1775	13671

Stop Event

1×	node limit

Counts

383 → 409

Calls

Call 1

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

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

eval710.0ms (3.7%)

Compiler: Compiled 57924 to 23177 computations (60% saved)

prune1.0s (5.5%)

Pruning

55 alts after pruning (50 fresh and 5 done)

	Pruned	Kept	Total
New	2652	22	2674
Fresh	9	28	37
Picked	0	1	1
Done	3	4	7
Total	2664	55	2719

Error

Counts

2719 → 55

Alt Table

Click to see full alt table

Status	Error	Program
	12.6b	(/.f32 (-.f32 (+.f32 u 3) (*.f32 (+.f32 u 1) 2)) (/.f32 1 n0_i))
	12.4b	(/.f32 (-.f32 1 u) (/.f32 1 n0_i))
	8.7b	(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 n1_i))) (sin.f32 normAngle))
✓	7.9b	(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	8.0b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 u (.f32 n1_i normAngle))) (sin.f32 normAngle))
	20.8b	(/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
✓	8.7b	(/.f32 (.f32 normAngle (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (sin.f32 normAngle))
	20.5b	(/.f32 n1_i (/.f32 1 u))
	12.4b	(/.f32 n0_i (/.f32 1 (-.f32 1 u)))
	0.6b	(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
	20.5b	(/.f32 1 (/.f32 1 (*.f32 u n1_i)))
	0.7b	(-.f32 (/.f32 1 (/.f32 1 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))))) (.f32 n1_i u))
	1.4b	(-.f32 (+.f32 (/.f32 (-.f32 (+.f32 (.f32 (+.f32 n0_i n0_i) 2) (+.f32 (.f32 n0_i u) (.f32 n0_i 3))) (+.f32 (.f32 (+.f32 n0_i n0_i) 2) (.f32 (+.f32 n0_i n0_i) 2))) -1) (.f32 n1_i (+.f32 u u))) (*.f32 n1_i u))
	0.9b	(-.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 n1_i u))) (*.f32 n1_i u))
	0.5b	(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i) (*.f32 n1_i u))
	0.6b	(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 2 (/.f32 u 1/2)))) (*.f32 n0_i (-.f32 1 u)))
	0.5b	(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
	0.9b	(-.f32 (.f32 1/2 (-.f32 (.f32 2 (+.f32 n0_i (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 u n0_i)))) (.f32 n1_i (+.f32 u u)))) (*.f32 n1_i u))
	26.5b	(-.f32 u (-.f32 u (*.f32 u n1_i)))
	23.7b	(-.f32 n1_i (-.f32 n1_i (*.f32 u n1_i)))
	0.5b	(-.f32 n0_i (*.f32 (-.f32 n0_i n1_i) u))
	12.4b	(-.f32 n0_i (*.f32 u n0_i))
	10.1b	(+.f32 (/.f32 (/.f32 u (/.f32 1 (*.f32 n1_i normAngle))) (sin.f32 normAngle)) n0_i)
	9.8b	(+.f32 (/.f32 (*.f32 n1_i (/.f32 (-.f32 (+.f32 u (+.f32 u (+.f32 u u))) (+.f32 u (+.f32 u u))) (/.f32 1 normAngle))) (sin.f32 normAngle)) n0_i)
	6.1b	(+.f32 (/.f32 n1_i (/.f32 1 u)) n0_i)
	8.1b	(+.f32 (.f32 (/.f32 u (sin.f32 normAngle)) (.f32 n1_i normAngle)) n0_i)
	0.7b	(+.f32 (.f32 (-.f32 (.f32 n1_i 3) (.f32 2 (+.f32 n1_i n1_i))) (neg.f32 u)) (.f32 n0_i (-.f32 1 u)))
	0.8b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	3.5b	(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (-.f32 -1 u)))
	1.9b	(+.f32 (.f32 u n1_i) (-.f32 (.f32 (+.f32 u -1) (.f32 n0_i 12)) (.f32 (+.f32 u -1) (*.f32 n0_i 13))))
	1.9b	(+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i 13) (-.f32 (.f32 n0_i 12) (.f32 n0_i (neg.f32 u)))))
	1.0b	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 8 (+.f32 u 7))))
✓	0.5b	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
	6.0b	(+.f32 (*.f32 u n1_i) n0_i)
	1.3b	(+.f32 (.f32 n1_i u) (-.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))) 3) (.f32 2 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 n1_i (*.f32 u 3))))))
	20.1b	(+.f32 u (-.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 -1 (+.f32 u (-.f32 (+.f32 n0_i u) (*.f32 u 3))))))
	5.4b	(+.f32 n0_i (/.f32 (.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) u) (sin.f32 normAngle)))
	0.5b	(+.f32 n0_i (/.f32 u (/.f32 1 (-.f32 n1_i n0_i))))
	0.6b	(+.f32 n0_i (/.f32 1/2 (/.f32 (/.f32 1/2 u) (-.f32 n1_i n0_i))))
	15.6b	(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 n0_i (neg.f32 u)))))
	13.3b	(+.f32 n0_i (-.f32 u (-.f32 u (.f32 -1 (-.f32 (.f32 2 (neg.f32 (.f32 u (-.f32 (-.f32 n1_i n0_i) 2)))) (+.f32 (+.f32 u (.f32 u (-.f32 n0_i n1_i))) (*.f32 u 3)))))))
	13.0b	(+.f32 n0_i (+.f32 (+.f32 u u) (*.f32 u (-.f32 (-.f32 n1_i n0_i) 2))))
	12.3b	(+.f32 n0_i (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (*.f32 n0_i u)))
	0.4b	(+.f32 n0_i (.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 -1/3 (*.f32 n0_i (pow.f32 normAngle 2)))) (neg.f32 u)))
	3.6b	(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle))))
	12.6b	(+.f32 n0_i (*.f32 u (-.f32 1 (-.f32 1 (-.f32 n1_i n0_i)))))
	0.3b	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))))
✓	12.4b	(*.f32 (-.f32 1 u) n0_i)
✓	20.4b	(*.f32 u n1_i)
	12.5b	(*.f32 n0_i (-.f32 4 (+.f32 u 3)))
	29.6b	(*.f32 n0_i (neg.f32 u))
	2.2b	(.f32 1 (+.f32 (.f32 2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))) (-.f32 (.f32 2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))) 3) (.f32 2 (.f32 2 (+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))))))))
	11.3b	(.f32 1/2 (-.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) (+.f32 u u))) (-.f32 u (+.f32 n0_i u))))
	16.4b	n0_i

Compiler

Compiled 991 to 658 computations (33.6% saved)

regimes238.0ms (1.2%)

Counts

99 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(/.f32 n1_i (/.f32 1 u))
(*.f32 n0_i (-.f32 4 (+.f32 u 3)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (/.f32 n1_i (/.f32 1 u)) n0_i)
(-.f32 n0_i (*.f32 (-.f32 n0_i n1_i) u))
(-.f32 n1_i (-.f32 n1_i (*.f32 u n1_i)))
(-.f32 u (-.f32 u (*.f32 u n1_i)))
(/.f32 1 (/.f32 1 (*.f32 u n1_i)))
(/.f32 n0_i (/.f32 1 (-.f32 1 u)))
(/.f32 (-.f32 1 u) (/.f32 1 n0_i))
(+.f32 n0_i (/.f32 u (/.f32 1 (-.f32 n1_i n0_i))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(-.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 n0_i u))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 n0_i (neg.f32 u)))))
(+.f32 n0_i (*.f32 u (-.f32 1 (-.f32 1 (-.f32 n1_i n0_i)))))
(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 u (-.f32 n1_i n0_i)))))
(+.f32 n0_i (/.f32 1/2 (/.f32 (/.f32 1/2 u) (-.f32 n1_i n0_i))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 8 (+.f32 u 7))))
(+.f32 (*.f32 u n1_i) (/.f32 n0_i (/.f32 -1 (+.f32 u -1))))
(+.f32 (*.f32 u n1_i) (/.f32 (-.f32 1 u) (/.f32 1 n0_i)))
(+.f32 (/.f32 n1_i (/.f32 1 u)) (*.f32 n0_i (-.f32 1 u)))
(+.f32 (/.f32 u (/.f32 1 n1_i)) (*.f32 n0_i (-.f32 1 u)))
(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(-.f32 n1_i (-.f32 n1_i (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 n0_i (+.f32 (+.f32 u u) (*.f32 u (-.f32 (-.f32 n1_i n0_i) 2))))
(+.f32 (.f32 u n1_i) (-.f32 (-.f32 u (-.f32 u n0_i)) (.f32 u n0_i)))
(+.f32 (-.f32 n1_i (-.f32 n1_i (.f32 u n1_i))) (.f32 n0_i (-.f32 1 u)))
(+.f32 (-.f32 u (-.f32 u (.f32 u n1_i))) (.f32 n0_i (-.f32 1 u)))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i) (*.f32 n1_i u))
(/.f32 (-.f32 (+.f32 u 3) (*.f32 (+.f32 u 1) 2)) (/.f32 1 n0_i))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i 7) (*.f32 n0_i (-.f32 6 (neg.f32 u)))))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 8 n0_i) (*.f32 n0_i (+.f32 4 (+.f32 u 3)))))
(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (-.f32 -1 u)))
(-.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 n1_i (+.f32 u u))) (*.f32 u n1_i))
(-.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 n1_i (+.f32 u u))) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i 13) (-.f32 (.f32 n0_i 12) (.f32 n0_i (neg.f32 u)))))
(.f32 1/2 (-.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) (+.f32 u u))) (-.f32 u (+.f32 n0_i u))))
(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (/.f32 1 (+.f32 u -1))))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (-.f32 n0_i (.f32 n0_i u)))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 2 (/.f32 u 1/2)))) (*.f32 n0_i (-.f32 1 u)))
(-.f32 (/.f32 1 (/.f32 1 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))))) (.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 n1_i 3) (.f32 2 (+.f32 n1_i n1_i))) (neg.f32 u)) (.f32 n0_i (-.f32 1 u)))
(+.f32 u (-.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 -1 (+.f32 u (-.f32 (+.f32 n0_i u) (*.f32 u 3))))))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 (+.f32 u -1) (.f32 n0_i 12)) (.f32 (+.f32 u -1) (*.f32 n0_i 13))))
(-.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 n1_i u))) (*.f32 n1_i u))
(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 n1_i (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) n1_i)))
(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 u (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) u)))
(-.f32 (.f32 1/2 (-.f32 (.f32 2 (+.f32 n0_i (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 u n0_i)))) (.f32 n1_i (+.f32 u u)))) (*.f32 n1_i u))
(+.f32 (.f32 n1_i u) (-.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))) 3) (.f32 2 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 n1_i (*.f32 u 3))))))
(+.f32 n0_i (-.f32 u (-.f32 u (.f32 -1 (-.f32 (.f32 2 (neg.f32 (.f32 u (-.f32 (-.f32 n1_i n0_i) 2)))) (+.f32 (+.f32 u (.f32 u (-.f32 n0_i n1_i))) (*.f32 u 3)))))))
(-.f32 (+.f32 (/.f32 (-.f32 (+.f32 (.f32 (+.f32 n0_i n0_i) 2) (+.f32 (.f32 n0_i u) (.f32 n0_i 3))) (+.f32 (.f32 (+.f32 n0_i n0_i) 2) (.f32 (+.f32 n0_i n0_i) 2))) -1) (.f32 n1_i (+.f32 u u))) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (-.f32 (+.f32 (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2) (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2)) (+.f32 (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2) (.f32 n0_i (.f32 (-.f32 1 u) 3)))))
(-.f32 (+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))))
(.f32 1 (+.f32 (.f32 2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))) (-.f32 (.f32 2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))) 3) (.f32 2 (.f32 2 (+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))))))))
(/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
(+.f32 (.f32 (/.f32 u (sin.f32 normAngle)) (.f32 n1_i normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (/.f32 u (/.f32 1 (*.f32 n1_i normAngle))) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 normAngle (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (*.f32 n0_i u)))
(.f32 -1 (.f32 (.f32 normAngle (+.f32 n0_i (.f32 n1_i -1))) (/.f32 u (sin.f32 normAngle))))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (*.f32 n0_i 1/3) (pow.f32 normAngle 2)))))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 -1/3 (*.f32 n0_i (pow.f32 normAngle 2)))) (neg.f32 u)))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 -1/6 n1_i) (.f32 n0_i -1/3)))) (neg.f32 u)))
(+.f32 n0_i (.f32 u (+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (-.f32 (.f32 n0_i 1/2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) -1/6)) (pow.f32 normAngle 2)))))
(+.f32 (/.f32 (*.f32 n1_i (/.f32 (-.f32 (+.f32 u (+.f32 u (+.f32 u u))) (+.f32 u (+.f32 u u))) (/.f32 1 normAngle))) (sin.f32 normAngle)) n0_i)
(.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 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 n0_i (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(/.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) n0_i) (*.f32 u n1_i))
(+.f32 n0_i (/.f32 (.f32 (.f32 normAngle (+.f32 n1_i (*.f32 (cos.f32 normAngle) (neg.f32 n0_i)))) u) (sin.f32 normAngle)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 u (.f32 n1_i normAngle))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (/.f32 (+.f32 (.f32 n1_i normAngle) (.f32 (cos.f32 normAngle) (.f32 n0_i (neg.f32 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 normAngle (.f32 u normAngle))) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (/.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 1 n1_i))) (sin.f32 normAngle))
(+.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)) n0_i) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(+.f32 (.f32 (/.f32 (sin.f32 (/.f32 (-.f32 1 u) (/.f32 1 normAngle))) (sin.f32 normAngle)) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 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 u normAngle)) (sin.f32 normAngle)) (+.f32 n1_i n1_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (-.f32 (.f32 n0_i (sin.f32 (-.f32 normAngle (.f32 u normAngle)))) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))))
(+.f32 (-.f32 (/.f32 (+.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) 2)) (.f32 (/.f32 1 n0_i) (.f32 (sin.f32 normAngle) 2))) (.f32 (.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) n0_i) (/.f32 1/2 (sin.f32 normAngle)))) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))

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

Calls

5 calls:

43.0ms	u
42.0ms	(+.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))
41.0ms	n0_i
41.0ms	normAngle
40.0ms	n1_i

Results

Error	Segments	Branch
0.3b	1	`normAngle`
0.3b	1	`u`
0.3b	1	`n0_i`
0.3b	1	`n1_i`
0.3b	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 1587 to 699 computations (56% saved)

regimes141.0ms (0.7%)

Counts

72 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(/.f32 n1_i (/.f32 1 u))
(*.f32 n0_i (-.f32 4 (+.f32 u 3)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (/.f32 n1_i (/.f32 1 u)) n0_i)
(-.f32 n0_i (*.f32 (-.f32 n0_i n1_i) u))
(-.f32 n1_i (-.f32 n1_i (*.f32 u n1_i)))
(-.f32 u (-.f32 u (*.f32 u n1_i)))
(/.f32 1 (/.f32 1 (*.f32 u n1_i)))
(/.f32 n0_i (/.f32 1 (-.f32 1 u)))
(/.f32 (-.f32 1 u) (/.f32 1 n0_i))
(+.f32 n0_i (/.f32 u (/.f32 1 (-.f32 n1_i n0_i))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(-.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 n0_i u))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 n0_i (neg.f32 u)))))
(+.f32 n0_i (*.f32 u (-.f32 1 (-.f32 1 (-.f32 n1_i n0_i)))))
(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 u (-.f32 n1_i n0_i)))))
(+.f32 n0_i (/.f32 1/2 (/.f32 (/.f32 1/2 u) (-.f32 n1_i n0_i))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 8 (+.f32 u 7))))
(+.f32 (*.f32 u n1_i) (/.f32 n0_i (/.f32 -1 (+.f32 u -1))))
(+.f32 (*.f32 u n1_i) (/.f32 (-.f32 1 u) (/.f32 1 n0_i)))
(+.f32 (/.f32 n1_i (/.f32 1 u)) (*.f32 n0_i (-.f32 1 u)))
(+.f32 (/.f32 u (/.f32 1 n1_i)) (*.f32 n0_i (-.f32 1 u)))
(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(-.f32 n1_i (-.f32 n1_i (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 n0_i (+.f32 (+.f32 u u) (*.f32 u (-.f32 (-.f32 n1_i n0_i) 2))))
(+.f32 (.f32 u n1_i) (-.f32 (-.f32 u (-.f32 u n0_i)) (.f32 u n0_i)))
(+.f32 (-.f32 n1_i (-.f32 n1_i (.f32 u n1_i))) (.f32 n0_i (-.f32 1 u)))
(+.f32 (-.f32 u (-.f32 u (.f32 u n1_i))) (.f32 n0_i (-.f32 1 u)))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i) (*.f32 n1_i u))
(/.f32 (-.f32 (+.f32 u 3) (*.f32 (+.f32 u 1) 2)) (/.f32 1 n0_i))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i 7) (*.f32 n0_i (-.f32 6 (neg.f32 u)))))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 8 n0_i) (*.f32 n0_i (+.f32 4 (+.f32 u 3)))))
(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (-.f32 -1 u)))
(-.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 n1_i (+.f32 u u))) (*.f32 u n1_i))
(-.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 n1_i (+.f32 u u))) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i 13) (-.f32 (.f32 n0_i 12) (.f32 n0_i (neg.f32 u)))))
(.f32 1/2 (-.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) (+.f32 u u))) (-.f32 u (+.f32 n0_i u))))
(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (/.f32 1 (+.f32 u -1))))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (-.f32 n0_i (.f32 n0_i u)))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 2 (/.f32 u 1/2)))) (*.f32 n0_i (-.f32 1 u)))
(-.f32 (/.f32 1 (/.f32 1 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))))) (.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 n1_i 3) (.f32 2 (+.f32 n1_i n1_i))) (neg.f32 u)) (.f32 n0_i (-.f32 1 u)))
(+.f32 u (-.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 -1 (+.f32 u (-.f32 (+.f32 n0_i u) (*.f32 u 3))))))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 (+.f32 u -1) (.f32 n0_i 12)) (.f32 (+.f32 u -1) (*.f32 n0_i 13))))
(-.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 n1_i u))) (*.f32 n1_i u))
(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 n1_i (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) n1_i)))
(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 u (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) u)))
(-.f32 (.f32 1/2 (-.f32 (.f32 2 (+.f32 n0_i (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 u n0_i)))) (.f32 n1_i (+.f32 u u)))) (*.f32 n1_i u))
(+.f32 (.f32 n1_i u) (-.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))) 3) (.f32 2 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 n1_i (*.f32 u 3))))))
(+.f32 n0_i (-.f32 u (-.f32 u (.f32 -1 (-.f32 (.f32 2 (neg.f32 (.f32 u (-.f32 (-.f32 n1_i n0_i) 2)))) (+.f32 (+.f32 u (.f32 u (-.f32 n0_i n1_i))) (*.f32 u 3)))))))
(-.f32 (+.f32 (/.f32 (-.f32 (+.f32 (.f32 (+.f32 n0_i n0_i) 2) (+.f32 (.f32 n0_i u) (.f32 n0_i 3))) (+.f32 (.f32 (+.f32 n0_i n0_i) 2) (.f32 (+.f32 n0_i n0_i) 2))) -1) (.f32 n1_i (+.f32 u u))) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (-.f32 (+.f32 (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2) (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2)) (+.f32 (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2) (.f32 n0_i (.f32 (-.f32 1 u) 3)))))
(-.f32 (+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))))
(.f32 1 (+.f32 (.f32 2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))) (-.f32 (.f32 2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))) 3) (.f32 2 (.f32 2 (+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))))))))
(/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
(+.f32 (.f32 (/.f32 u (sin.f32 normAngle)) (.f32 n1_i normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (/.f32 u (/.f32 1 (*.f32 n1_i normAngle))) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 normAngle (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (*.f32 n0_i u)))
(.f32 -1 (.f32 (.f32 normAngle (+.f32 n0_i (.f32 n1_i -1))) (/.f32 u (sin.f32 normAngle))))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (*.f32 n0_i 1/3) (pow.f32 normAngle 2)))))
(+.f32 n0_i (.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 -1/3 (*.f32 n0_i (pow.f32 normAngle 2)))) (neg.f32 u)))

Outputs
(+.f32 n0_i (.f32 u (+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (*.f32 n0_i 1/3) (pow.f32 normAngle 2)))))

Calls

4 calls:

31.0ms	normAngle
30.0ms	n1_i
30.0ms	u
30.0ms	n0_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 1042 to 490 computations (53% saved)

regimes133.0ms (0.7%)

Counts

70 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(/.f32 n1_i (/.f32 1 u))
(*.f32 n0_i (-.f32 4 (+.f32 u 3)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(+.f32 (/.f32 n1_i (/.f32 1 u)) n0_i)
(-.f32 n0_i (*.f32 (-.f32 n0_i n1_i) u))
(-.f32 n1_i (-.f32 n1_i (*.f32 u n1_i)))
(-.f32 u (-.f32 u (*.f32 u n1_i)))
(/.f32 1 (/.f32 1 (*.f32 u n1_i)))
(/.f32 n0_i (/.f32 1 (-.f32 1 u)))
(/.f32 (-.f32 1 u) (/.f32 1 n0_i))
(+.f32 n0_i (/.f32 u (/.f32 1 (-.f32 n1_i n0_i))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 1 u)))
(-.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 n0_i u))
(-.f32 (+.f32 (.f32 n1_i u) n0_i) (.f32 u n0_i))
(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 n0_i (neg.f32 u)))))
(+.f32 n0_i (*.f32 u (-.f32 1 (-.f32 1 (-.f32 n1_i n0_i)))))
(+.f32 n0_i (-.f32 u (-.f32 u (*.f32 u (-.f32 n1_i n0_i)))))
(+.f32 n0_i (/.f32 1/2 (/.f32 (/.f32 1/2 u) (-.f32 n1_i n0_i))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 8 (+.f32 u 7))))
(+.f32 (*.f32 u n1_i) (/.f32 n0_i (/.f32 -1 (+.f32 u -1))))
(+.f32 (*.f32 u n1_i) (/.f32 (-.f32 1 u) (/.f32 1 n0_i)))
(+.f32 (/.f32 n1_i (/.f32 1 u)) (*.f32 n0_i (-.f32 1 u)))
(+.f32 (/.f32 u (/.f32 1 n1_i)) (*.f32 n0_i (-.f32 1 u)))
(/.f32 1 (/.f32 1 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))
(-.f32 n1_i (-.f32 n1_i (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(+.f32 n0_i (+.f32 (+.f32 u u) (*.f32 u (-.f32 (-.f32 n1_i n0_i) 2))))
(+.f32 (.f32 u n1_i) (-.f32 (-.f32 u (-.f32 u n0_i)) (.f32 u n0_i)))
(+.f32 (-.f32 n1_i (-.f32 n1_i (.f32 u n1_i))) (.f32 n0_i (-.f32 1 u)))
(+.f32 (-.f32 u (-.f32 u (.f32 u n1_i))) (.f32 n0_i (-.f32 1 u)))
(-.f32 (+.f32 (.f32 (-.f32 (.f32 2 n1_i) n0_i) u) n0_i) (*.f32 n1_i u))
(/.f32 (-.f32 (+.f32 u 3) (*.f32 (+.f32 u 1) 2)) (/.f32 1 n0_i))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i 7) (*.f32 n0_i (-.f32 6 (neg.f32 u)))))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 8 n0_i) (*.f32 n0_i (+.f32 4 (+.f32 u 3)))))
(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (-.f32 -1 u)))
(-.f32 (+.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 n1_i (+.f32 u u))) (*.f32 u n1_i))
(-.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 n1_i (+.f32 u u))) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 n0_i 13) (-.f32 (.f32 n0_i 12) (.f32 n0_i (neg.f32 u)))))
(.f32 1/2 (-.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) (+.f32 u u))) (-.f32 u (+.f32 n0_i u))))
(+.f32 (.f32 u n1_i) (/.f32 (-.f32 (.f32 n0_i 3) (*.f32 n0_i 4)) (/.f32 1 (+.f32 u -1))))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (-.f32 n0_i (.f32 n0_i u)))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 2 (/.f32 u 1/2)))) (*.f32 n0_i (-.f32 1 u)))
(-.f32 (/.f32 1 (/.f32 1 (+.f32 n0_i (.f32 u (-.f32 (+.f32 n1_i n1_i) n0_i))))) (.f32 n1_i u))
(+.f32 (.f32 (-.f32 (.f32 n1_i 3) (.f32 2 (+.f32 n1_i n1_i))) (neg.f32 u)) (.f32 n0_i (-.f32 1 u)))
(+.f32 u (-.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 -1 (+.f32 u (-.f32 (+.f32 n0_i u) (*.f32 u 3))))))
(+.f32 (.f32 u n1_i) (-.f32 (.f32 (+.f32 u -1) (.f32 n0_i 12)) (.f32 (+.f32 u -1) (*.f32 n0_i 13))))
(-.f32 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 n1_i u))) (*.f32 n1_i u))
(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 n1_i (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) n1_i)))
(-.f32 (.f32 2 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (+.f32 u (-.f32 (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))) u)))
(-.f32 (.f32 1/2 (-.f32 (.f32 2 (+.f32 n0_i (-.f32 (.f32 n1_i (.f32 u 3)) (.f32 u n0_i)))) (.f32 n1_i (+.f32 u u)))) (*.f32 n1_i u))
(+.f32 (.f32 n1_i u) (-.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))) 3) (.f32 2 (+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 n1_i (*.f32 u 3))))))
(+.f32 n0_i (-.f32 u (-.f32 u (.f32 -1 (-.f32 (.f32 2 (neg.f32 (.f32 u (-.f32 (-.f32 n1_i n0_i) 2)))) (+.f32 (+.f32 u (.f32 u (-.f32 n0_i n1_i))) (*.f32 u 3)))))))
(-.f32 (+.f32 (/.f32 (-.f32 (+.f32 (.f32 (+.f32 n0_i n0_i) 2) (+.f32 (.f32 n0_i u) (.f32 n0_i 3))) (+.f32 (.f32 (+.f32 n0_i n0_i) 2) (.f32 (+.f32 n0_i n0_i) 2))) -1) (.f32 n1_i (+.f32 u u))) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (-.f32 (+.f32 (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2) (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2)) (+.f32 (.f32 (.f32 n0_i (.f32 (+.f32 u -1) -2)) 2) (.f32 n0_i (.f32 (-.f32 1 u) 3)))))
(-.f32 (+.f32 (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2))) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))) (+.f32 (-.f32 n0_i (.f32 n0_i u)) (+.f32 (.f32 u n1_i) (.f32 n0_i (.f32 (+.f32 u -1) -2)))))
(.f32 1 (+.f32 (.f32 2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))) (-.f32 (.f32 2 (.f32 2 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))) 3) (.f32 2 (.f32 2 (+.f32 n0_i (*.f32 u (+.f32 n1_i (-.f32 n1_i n0_i)))))))))))
(/.f32 (*.f32 u normAngle) (/.f32 (sin.f32 normAngle) n1_i))
(+.f32 (.f32 (/.f32 u (sin.f32 normAngle)) (.f32 n1_i normAngle)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (/.f32 u (/.f32 1 (*.f32 n1_i normAngle))) (sin.f32 normAngle)) n0_i)
(/.f32 (.f32 normAngle (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (sin.f32 normAngle))
(+.f32 n0_i (.f32 u (/.f32 (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 (-.f32 (.f32 1/3 (pow.f32 normAngle 2)) 1) (*.f32 n0_i u)))
(.f32 -1 (.f32 (.f32 normAngle (+.f32 n0_i (.f32 n1_i -1))) (/.f32 u (sin.f32 normAngle))))
(/.f32 (.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle) (sin.f32 normAngle))

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

Calls

4 calls:

29.0ms	n1_i
29.0ms	u
28.0ms	n0_i
28.0ms	normAngle

Results

Error	Segments	Branch
0.5b	1	`normAngle`
0.5b	1	`u`
0.5b	1	`n0_i`
0.5b	1	`n1_i`

Compiler

Compiled 1010 to 474 computations (53.1% saved)

regimes33.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (neg.f32 u))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(-.f32 n0_i (*.f32 u n0_i))
(/.f32 n1_i (/.f32 1 u))
(*.f32 n0_i (-.f32 4 (+.f32 u 3)))

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

Calls

4 calls:

16.0ms	n1_i
5.0ms	normAngle
5.0ms	n0_i
5.0ms	u

Results

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

Compiler

Compiled 59 to 37 computations (37.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes27.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	n1_i
6.0ms	u
4.0ms	n0_i
4.0ms	normAngle

Results

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes30.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	n0_i
10.0ms	n1_i
4.0ms	normAngle
4.0ms	u

Results

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

Compiler

Compiled 37 to 26 computations (29.7% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes36.0ms (0.2%)

Accuracy

Total -18.2b remaining (-157%)

Threshold costs -18.2b (-157%)

Counts

3 → 3

Calls

Call 1

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

Outputs
n0_i
(*.f32 u n1_i)
n0_i

Calls

4 calls:

13.0ms	n0_i
12.0ms	n1_i
7.0ms	u
3.0ms	normAngle

Results

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

Compiler

Compiled 32 to 23 computations (28.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

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

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	314

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))))
(+.f32 n0_i (.f32 u (+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (*.f32 n0_i 1/3) (pow.f32 normAngle 2)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i -6084723/20282409603651670423947251286016) (+.f32 (.f32 u n1_i) n0_i) (if (<=.f32 n1_i 2028241/10141204801825835211973625643008) (-.f32 n0_i (.f32 u n0_i)) (+.f32 (*.f32 u n1_i) n0_i)))
(if (<=.f32 n1_i -6084723/20282409603651670423947251286016) (+.f32 (.f32 u n1_i) n0_i) (if (<=.f32 n1_i 2028241/10141204801825835211973625643008) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 u n1_i) n0_i)))
(if (<=.f32 n0_i -5192297/2596148429267413814265248164610048) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 14894895/633825300114114700748351602688) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -5192297/1298074214633706907132624082305024) n0_i (if (<=.f32 n0_i 928455/154742504910672534362390528) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (pow.f32 normAngle 2) (+.f32 (.f32 n0_i 1/3) (.f32 n1_i 1/6))))))
(+.f32 n0_i (.f32 u (+.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 (*.f32 n0_i 1/3) (pow.f32 normAngle 2)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n1_i -6084723/20282409603651670423947251286016) (+.f32 (.f32 u n1_i) n0_i) (if (<=.f32 n1_i 2028241/10141204801825835211973625643008) (-.f32 n0_i (.f32 u n0_i)) (+.f32 (*.f32 u n1_i) n0_i)))
(if (<=.f32 n1_i -6084723/20282409603651670423947251286016) (+.f32 (.f32 u n1_i) n0_i) (if (<=.f32 n1_i 2028241/10141204801825835211973625643008) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 u n1_i) n0_i)))
(if (<=.f32 n0_i -5192297/2596148429267413814265248164610048) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 14894895/633825300114114700748351602688) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -5192297/1298074214633706907132624082305024) n0_i (if (<=.f32 n0_i 928455/154742504910672534362390528) (*.f32 u n1_i) n0_i))
n0_i

Compiler

Compiled 155 to 98 computations (36.8% saved)

soundness372.0ms (1.9%)

Algorithm

5×	egg-herbie

Rules

1156×	`rational.json-simplify-4`
1076×	`rational.json-simplify-5`
1050×	`rational.json-simplify-24`
1036×	`rational.json-simplify-24`
1012×	`rational.json-simplify-3`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	41	65
2	107	55
3	337	55
4	1156	55
5	4621	55
0	563	17076
1	1758	16370
0	653	24155
1	2025	19873
0	778	26827
1	3012	25503
0	747	22896
1	2881	22090

Stop Event

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

Compiler

Compiled 811 to 444 computations (45.3% saved)

end52.0ms (0.3%)

Compiler: Compiled 127 to 65 computations (48.8% saved)