Details

analyze728.0ms (3.7%)

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)

sample5.4s (27.1%)

Results

4.4s	8256×	body	256	valid
911.0ms	1992×	body	256	precondition

Bogosity

preprocess18.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

188×	`rational_best.json-simplify-2`
56×	`rational_best.json-simplify-44`
30×	`trig.json-simplify-2`
28×	`rational_best.json-simplify-1`
28×	`rational_best.json-simplify-47`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	539
1	156	539
2	206	427
3	284	427
4	291	427
0	4	4

Stop Event

1×	saturated
1×	saturated

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify14.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

30×	`rational_best.json-simplify-2`
8×	`rational_best.json-simplify-44`
6×	`trig.json-simplify-2`
4×	`rational_best.json-simplify-1`
4×	`rational_best.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	37	77
2	45	61
3	57	61
4	58	61

Stop Event

1×

saturated

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

Compiler: Compiled 119 to 65 computations (45.4% saved)

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.6b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
▶	4.7b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 n0_i (/.f32 1 (sin.f32 normAngle)))) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
▶	7.9b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

Status

Error

Program

▶

0.8b

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

▶

4.7b

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

▶

7.9b

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

Compiler

Compiled 82 to 57 computations (30.5% saved)

localize78.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 85 to 40 computations (52.9% saved)

series21.0ms (0.1%)

Counts

4 → 80

Calls

36 calls:

Time	Variable		Point	Expression
6.0ms	n0_i	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
2.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
1.0ms	normAngle	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
1.0ms	u	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
1.0ms	n1_i	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

rewrite68.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1282×	`rational_best.json-5`
1280×	`rational_best.json-2`
1280×	`rational_best.json-3`
1280×	`rational_best.json-1`
1280×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	114
1	167	114
2	589	114
3	2593	114

Stop Event

1×	node limit

Counts

4 → 28

Calls

Call 1

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

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

simplify188.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1560×	`rational_best.json-simplify-80`
1272×	`rational_best.json-simplify-78`
1194×	`rational_best.json-simplify-47`
1064×	`rational_best.json-simplify-2`
1000×	`rational_best.json-simplify-132`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	5902
1	482	5706
2	924	5642
3	1837	5614
4	3778	5614
5	6797	5614

Stop Event

1×	node limit

Counts

108 → 136

Calls

Call 1

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

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

localize81.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 97 to 46 computations (52.6% saved)

series60.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
48.0ms	u	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
3.0ms	n1_i	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
1.0ms	normAngle	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))
1.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))
0.0ms	n0_i	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1358×	`rational_best.json-5`
1356×	`rational_best.json-2`
1356×	`rational_best.json-3`
1356×	`rational_best.json-1`
1356×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	171	89
2	615	89
3	2718	89

Stop Event

1×	node limit

Counts

3 → 21

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

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

simplify256.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1684×	`rational_best.json-simplify-47`
1250×	`rational_best.json-simplify-132`
1040×	`rational_best.json-simplify-80`
944×	`rational_best.json-simplify-78`
868×	`rational_best.json-simplify-44`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	203	4727
1	431	4561
2	764	4465
3	1388	4401
4	4019	4375

Stop Event

1×	node limit

Counts

117 → 123

Calls

Call 1

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

Outputs
(*.f32 n1_i u)
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 n1_i u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u))) (pow.f32 normAngle 2)))
(+.f32 (.f32 n1_i u) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (*.f32 n1_i u))) (pow.f32 normAngle 2)))
(+.f32 (.f32 n1_i u) (.f32 -1/6 (.f32 (pow.f32 normAngle 2) (.f32 n1_i (-.f32 (pow.f32 u 3) u)))))
(+.f32 (.f32 n1_i u) (.f32 n1_i (.f32 (pow.f32 normAngle 2) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))))
(.f32 n1_i (+.f32 (.f32 (pow.f32 normAngle 2) (*.f32 -1/6 (-.f32 (pow.f32 u 3) u))) u))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (.f32 n1_i u)))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u)))) (.f32 n1_i (.f32 1/120 u)))) (pow.f32 normAngle 4)) (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u))) (pow.f32 normAngle 2))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 -1/6 (.f32 (pow.f32 normAngle 2) (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 n1_i (.f32 (pow.f32 normAngle 2) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) 1/36) (.f32 u (*.f32 n1_i 1/120)))) (pow.f32 normAngle 4))))
(+.f32 (.f32 n1_i (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) u)) (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (+.f32 (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) 1/36) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4)))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (-.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u))))) (.f32 1/120 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))))))) (pow.f32 normAngle 6)) (.f32 n1_i u))))
(+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u)))) (.f32 n1_i (.f32 1/120 u)))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 n1_i (.f32 -1/5040 (pow.f32 u 7))) (+.f32 (.f32 n1_i (.f32 -1/5040 u)) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u)))) (.f32 n1_i (.f32 1/120 u))))) (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 n1_i (.f32 -1/6 u))) 1/120)))) (pow.f32 normAngle 6)))))
(+.f32 (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 (.f32 n1_i (.f32 -1/5040 (pow.f32 u 7))) (+.f32 (.f32 n1_i (.f32 u -1/5040)) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u)))) (.f32 n1_i (.f32 u 1/120))))) (.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (pow.f32 u 3)) (.f32 n1_i u))) 1/120)))) (pow.f32 normAngle 6)))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 -1/5040 (pow.f32 u 7))) (+.f32 (.f32 n1_i (.f32 u -1/5040)) (+.f32 (.f32 -1/6 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 n1_i (.f32 u 1/120))))) (.f32 -1/6 (.f32 1/120 (.f32 n1_i (-.f32 (pow.f32 u 3) u))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 normAngle 2) (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 -1/6 (.f32 -1/6 (.f32 n1_i (-.f32 (pow.f32 u 3) u)))) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4)))))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 (.f32 n1_i (.f32 -1/5040 (pow.f32 u 7))) (+.f32 (.f32 n1_i (.f32 u -1/5040)) (.f32 -1/6 (+.f32 (.f32 n1_i (.f32 1/120 (-.f32 (pow.f32 u 3) u))) (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) 1/36) (.f32 u (.f32 n1_i 1/120)))))))) (pow.f32 normAngle 6)) (+.f32 (.f32 n1_i (.f32 (pow.f32 normAngle 2) (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) (.f32 (-.f32 (.f32 n1_i (.f32 1/120 (pow.f32 u 5))) (+.f32 (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) 1/36) (.f32 u (*.f32 n1_i 1/120)))) (pow.f32 normAngle 4)))))
(+.f32 (.f32 n1_i (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 -1/6 (-.f32 (pow.f32 u 3) u))) u)) (+.f32 (.f32 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (+.f32 (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) 1/36) (.f32 n1_i (.f32 u 1/120)))) (pow.f32 normAngle 4)) (.f32 (-.f32 (.f32 (pow.f32 u 7) (.f32 n1_i -1/5040)) (+.f32 (.f32 n1_i (.f32 u -1/5040)) (+.f32 (.f32 -1/6 (-.f32 (.f32 (pow.f32 u 5) (.f32 n1_i 1/120)) (+.f32 (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) 1/36) (.f32 n1_i (.f32 u 1/120))))) (.f32 (.f32 n1_i (-.f32 (pow.f32 u 3) u)) -1/720)))) (pow.f32 normAngle 6))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 u (.f32 n1_i 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 -1/6 (/.f32 (.f32 n1_i (pow.f32 (*.f32 u normAngle) 3)) (sin.f32 normAngle))))
(+.f32 (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (pow.f32 (*.f32 u 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 -1/6 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 3)) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 5)) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 3)) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (pow.f32 (.f32 u 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 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 3)) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 5)) (sin.f32 normAngle)))) (.f32 -1/5040 (/.f32 (.f32 n1_i (pow.f32 (*.f32 u normAngle) 7)) (sin.f32 normAngle)))))
(+.f32 (.f32 1/120 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 5)) (sin.f32 normAngle))) (+.f32 (+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 3)) (sin.f32 normAngle)))) (.f32 -1/5040 (/.f32 (.f32 n1_i (pow.f32 (*.f32 u normAngle) 7)) (sin.f32 normAngle)))))
(+.f32 (/.f32 (.f32 u (.f32 n1_i normAngle)) (sin.f32 normAngle)) (+.f32 (+.f32 (.f32 -1/6 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 3)) (sin.f32 normAngle))) (.f32 1/120 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 5)) (sin.f32 normAngle)))) (.f32 -1/5040 (/.f32 (.f32 n1_i (pow.f32 (*.f32 u normAngle) 7)) (sin.f32 normAngle)))))
(+.f32 (+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1/6 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 3)) (sin.f32 normAngle)))) (+.f32 (.f32 1/120 (/.f32 (.f32 n1_i (pow.f32 (.f32 u normAngle) 5)) (sin.f32 normAngle))) (.f32 -1/5040 (/.f32 (.f32 n1_i (pow.f32 (*.f32 u normAngle) 7)) (sin.f32 normAngle)))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
n0_i
(+.f32 n0_i (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 u (.f32 n0_i normAngle))) (sin.f32 normAngle))))
(+.f32 n0_i (.f32 -1 (/.f32 (.f32 u (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i))) (sin.f32 normAngle))))
(+.f32 n0_i (neg.f32 (/.f32 (.f32 u (.f32 normAngle (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle))))
(+.f32 n0_i (neg.f32 (/.f32 (.f32 u (.f32 (cos.f32 normAngle) (*.f32 normAngle n0_i))) (sin.f32 normAngle))))
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(/.f32 (.f32 n0_i (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 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 1 u)))) (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i normAngle)
(+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle))
(+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 1/6 normAngle)))
(+.f32 (/.f32 n0_i normAngle) (.f32 normAngle (.f32 1/6 n0_i)))
(+.f32 (/.f32 n0_i normAngle) (.f32 normAngle (.f32 n0_i 1/6)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 1/6 (.f32 n0_i normAngle)) (/.f32 n0_i normAngle)))
(+.f32 (+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 1/6 normAngle))) (.f32 -1 (.f32 (pow.f32 normAngle 3) (+.f32 (.f32 1/120 n0_i) (.f32 n0_i -1/36)))))
(+.f32 (+.f32 (/.f32 n0_i normAngle) (.f32 normAngle (.f32 1/6 n0_i))) (neg.f32 (.f32 (pow.f32 normAngle 3) (.f32 n0_i -7/360))))
(+.f32 (/.f32 n0_i normAngle) (+.f32 (.f32 normAngle (.f32 n0_i 1/6)) (.f32 (pow.f32 normAngle 3) (.f32 n0_i 7/360))))
(+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (+.f32 (.f32 (neg.f32 (pow.f32 normAngle 3)) -7/360) (*.f32 normAngle 1/6))))
(+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (+.f32 (.f32 (pow.f32 normAngle 3) 7/360) (*.f32 normAngle 1/6))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i)) (pow.f32 normAngle 3))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 n0_i) (+.f32 (.f32 -1/5040 n0_i) (.f32 1/6 (+.f32 (.f32 1/120 n0_i) (.f32 -1/36 n0_i))))) (pow.f32 normAngle 5))) (+.f32 (.f32 1/6 (*.f32 n0_i normAngle)) (/.f32 n0_i normAngle))))
(+.f32 (+.f32 (/.f32 n0_i normAngle) (.f32 n0_i (.f32 1/6 normAngle))) (+.f32 (.f32 -1 (.f32 (pow.f32 normAngle 5) (+.f32 (.f32 n0_i 1/720) (+.f32 (.f32 -1/5040 n0_i) (.f32 1/6 (+.f32 (.f32 1/120 n0_i) (.f32 n0_i -1/36))))))) (.f32 -1 (.f32 (pow.f32 normAngle 3) (+.f32 (.f32 1/120 n0_i) (*.f32 n0_i -1/36))))))
(+.f32 (+.f32 (/.f32 n0_i normAngle) (.f32 normAngle (.f32 1/6 n0_i))) (.f32 -1 (+.f32 (.f32 (pow.f32 normAngle 3) (.f32 n0_i -7/360)) (.f32 (pow.f32 normAngle 5) (+.f32 (.f32 1/6 (.f32 n0_i -7/360)) (*.f32 n0_i 1/840))))))
(+.f32 (/.f32 n0_i normAngle) (+.f32 (+.f32 (.f32 normAngle (.f32 n0_i 1/6)) (.f32 (pow.f32 normAngle 3) (.f32 n0_i 7/360))) (.f32 (+.f32 (.f32 n0_i -7/2160) (*.f32 n0_i 1/840)) (neg.f32 (pow.f32 normAngle 5)))))
(+.f32 (/.f32 n0_i normAngle) (+.f32 (.f32 (.f32 n0_i -31/15120) (neg.f32 (pow.f32 normAngle 5))) (.f32 n0_i (+.f32 (.f32 (neg.f32 (pow.f32 normAngle 3)) -7/360) (*.f32 normAngle 1/6)))))
(+.f32 (/.f32 n0_i normAngle) (+.f32 (.f32 (pow.f32 normAngle 5) (neg.f32 (.f32 n0_i -31/15120))) (.f32 n0_i (+.f32 (.f32 (pow.f32 normAngle 3) 7/360) (*.f32 normAngle 1/6)))))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(+.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 normAngle u)))) 0)
(.f32 n1_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(+.f32 0 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 normAngle u)))))
(.f32 n1_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(-.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 normAngle u)))) 0)
(.f32 n1_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 normAngle u)))) 1)
(.f32 n1_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (.f32 normAngle u)))) (/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (.f32 normAngle u)))) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 normAngle u))))))
(.f32 n1_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (.f32 (sin.f32 (.f32 normAngle u)) 2))) 2)
(/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i 2))) 2)
(/.f32 (.f32 2 (.f32 n1_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))))) 2)
(pow.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 normAngle u)))) 1)
(.f32 n1_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))))
(+.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)) 0)
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))
(+.f32 0 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))
(-.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)) 0)
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))
(/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)) 1)
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))
(/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i)) (/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 n0_i n0_i))) 2)
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))
(pow.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)) 1)
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))
(+.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i) 0)
(*.f32 n0_i (/.f32 1 (sin.f32 normAngle)))
(+.f32 0 (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))
(*.f32 n0_i (/.f32 1 (sin.f32 normAngle)))
(-.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i) 0)
(*.f32 n0_i (/.f32 1 (sin.f32 normAngle)))
(/.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i) 1)
(*.f32 n0_i (/.f32 1 (sin.f32 normAngle)))
(/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i) (/.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)))
(*.f32 n0_i (/.f32 1 (sin.f32 normAngle)))
(/.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 n0_i n0_i)) 2)
(*.f32 n0_i (/.f32 1 (sin.f32 normAngle)))
(pow.f32 (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i) 1)
(*.f32 n0_i (/.f32 1 (sin.f32 normAngle)))

localize522.0ms (2.6%)

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)
✓	0.5b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.3b	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series8.0ms (0%)

Counts

3 → 84

Calls

21 calls:

Time	Variable		Point	Expression
2.0ms	normAngle	@	-inf	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
1.0ms	normAngle	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
0.0ms	normAngle	@	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
0.0ms	u	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1190×	`rational_best.json-5`
1188×	`rational_best.json-2`
1188×	`rational_best.json-3`
1188×	`rational_best.json-1`
1188×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	99
1	150	99
2	538	99
3	2393	99

Stop Event

1×	node limit

Counts

3 → 21

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify437.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1778×	`rational_best.json-simplify-78`
1194×	`rational_best.json-simplify-47`
1162×	`rational_best.json-simplify-132`
952×	`rational_best.json-simplify-80`
856×	`rational_best.json-simplify-76`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	4937
1	427	4783
2	704	4741
3	1244	4669
4	3482	4669
5	7054	4669

Stop Event

1×	node limit

Counts

105 → 133

Calls

Call 1

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

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

eval652.0ms (3.3%)

Compiler: Compiled 19010 to 11067 computations (41.8% saved)

prune100.0ms (0.5%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	413	13	426
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	416	13	429

Error

0.1b

Counts

429 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.7b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	22.0b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	4.7b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
▶	0.7b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
▶	0.4b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 n0_i (/.f32 1 (sin.f32 normAngle)))) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (*.f32 n1_i u))))
	0.6b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 n0_i (/.f32 1 (sin.f32 normAngle)))) (.f32 n1_i u))
	3.8b	(+.f32 (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))) (+.f32 n0_i (.f32 n0_i (.f32 -1/2 (pow.f32 (*.f32 u normAngle) 2)))))
▶	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
▶	8.8b	(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
	5.6b	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
	3.8b	(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))))
	8.6b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	16.7b	n0_i

Compiler

Compiled 593 to 406 computations (31.5% saved)

localize634.0ms (3.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 -1/6 (.f32 n1_i u))
	0.3b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 n0_i (/.f32 1 (sin.f32 normAngle))))
✓	0.4b	(+.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)))
✓	0.5b	(.f32 1/120 (.f32 n1_i u))

Compiler

Compiled 392 to 248 computations (36.7% saved)

series16.0ms (0.1%)

Counts

3 → 24

Calls

18 calls:

Time	Variable		Point	Expression
6.0ms	u	@	inf	(+.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)))
3.0ms	u	@	0	(+.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)))
1.0ms	n1_i	@	0	(+.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)))
1.0ms	u	@	-inf	(+.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)))
1.0ms	n1_i	@	inf	(+.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)))

rewrite133.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

952×	`rational_best.json-simplify-47`
906×	`rational_best.json-5`
904×	`rational_best.json-2`
904×	`rational_best.json-3`
904×	`rational_best.json-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	87
1	140	81
2	450	75
3	1916	75
4	7853	75

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs
(.f32 1/120 (.f32 n1_i u))
(+.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 -1/6 (.f32 n1_i u))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 1/120 (*.f32 n1_i u)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 1/120 (*.f32 n1_i u)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 1/120 (*.f32 n1_i u)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/120 (*.f32 n1_i u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 1/120 (*.f32 n1_i u)) (/.f32 (*.f32 n1_i (*.f32 u 1/60)) (*.f32 n1_i (*.f32 u 1/60))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 n1_i (*.f32 u 1/60)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/120 (*.f32 n1_i u)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 1 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 1 (/.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (/.f32 1 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 1 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))) (*.f32 (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 1 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (*.f32 1/120 (*.f32 n1_i u)) (*.f32 -1/6 (*.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 1)))))

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

simplify223.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

892×	`rational_best.json-simplify-2`
722×	`rational_best.json-simplify-78`
686×	`rational_best.json-simplify-24`
678×	`rational_best.json-simplify-29`
672×	`rational_best.json-simplify-33`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	102	2197
1	193	1991
2	629	1991
3	1492	1991
4	3599	1991
5	6322	1991

Stop Event

1×	node limit

Counts

55 → 66

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 -1 (.f32 (+.f32 (.f32 -1/120 u) (.f32 -1/6 (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) n1_i))
(.f32 -1 (.f32 (+.f32 (.f32 -1/120 u) (.f32 -1/6 (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) n1_i))
(.f32 -1 (.f32 (+.f32 (.f32 -1/120 u) (.f32 -1/6 (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) n1_i))
(.f32 -1 (.f32 (+.f32 (.f32 -1/120 u) (.f32 -1/6 (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) n1_i))
(.f32 (+.f32 (.f32 1/120 n1_i) (*.f32 -1/36 n1_i)) u)
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(.f32 1/36 (.f32 n1_i (pow.f32 u 3)))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(.f32 1/36 (.f32 n1_i (pow.f32 u 3)))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/120 n1_i) (.f32 1/36 n1_i)) u)) (.f32 1/36 (.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/120 n1_i) (.f32 1/36 n1_i)) u)) (.f32 1/36 (.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/120 n1_i) (.f32 1/36 n1_i)) u)) (.f32 1/36 (.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 1/120 (.f32 n1_i u)) 0)
(+.f32 0 (.f32 1/120 (.f32 n1_i u)))
(-.f32 (.f32 1/120 (.f32 n1_i u)) 0)
(/.f32 (.f32 1/120 (.f32 n1_i u)) 1)
(/.f32 (.f32 1/120 (.f32 n1_i u)) (/.f32 (.f32 n1_i (.f32 u 1/60)) (.f32 n1_i (.f32 u 1/60))))
(/.f32 (.f32 n1_i (.f32 u 1/60)) 2)
(pow.f32 (.f32 1/120 (.f32 n1_i u)) 1)
(-.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 0)
(.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 1)
(.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))
(.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 1 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))))
(.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 1 (/.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))))
(.f32 1 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))
(.f32 (/.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))
(.f32 (/.f32 1 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))
(.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (/.f32 1 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))
(.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 1 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))
(.f32 (/.f32 (/.f32 1 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))) (.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))
(.f32 (/.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 1 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))) (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))
(/.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 1)
(/.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (/.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u))))))
(/.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 2) 2)
(pow.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 1)
(+.f32 (.f32 n1_i (.f32 u -1/6)) 0)
(+.f32 0 (.f32 n1_i (.f32 u -1/6)))
(-.f32 (.f32 n1_i (.f32 u -1/6)) 0)
(/.f32 (.f32 n1_i (.f32 u -1/6)) 1)
(/.f32 (.f32 n1_i (.f32 u -1/6)) (/.f32 (.f32 n1_i (.f32 u -1/6)) (.f32 n1_i (.f32 u -1/6))))
(/.f32 (.f32 n1_i (.f32 u -1/3)) 2)
(pow.f32 (.f32 n1_i (.f32 u -1/6)) 1)

Outputs
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 -1/6 u)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (-.f32 (.f32 -1/6 (pow.f32 u 3)) (*.f32 u -1/6)))) n1_i)
(.f32 (+.f32 (.f32 1/120 u) (.f32 -1/6 (.f32 -1/6 (-.f32 (pow.f32 u 3) u)))) n1_i)
(.f32 -1 (.f32 (+.f32 (.f32 -1/120 u) (.f32 -1/6 (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) n1_i))
(.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (-.f32 (.f32 (pow.f32 u 3) 1/6) (.f32 u 1/6)))) (.f32 -1 n1_i))
(neg.f32 (.f32 n1_i (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u))))))
(.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u)))) (neg.f32 n1_i))
(.f32 n1_i (neg.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u))))))
(.f32 -1 (.f32 (+.f32 (.f32 -1/120 u) (.f32 -1/6 (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) n1_i))
(.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (-.f32 (.f32 (pow.f32 u 3) 1/6) (.f32 u 1/6)))) (.f32 -1 n1_i))
(neg.f32 (.f32 n1_i (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u))))))
(.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u)))) (neg.f32 n1_i))
(.f32 n1_i (neg.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u))))))
(.f32 -1 (.f32 (+.f32 (.f32 -1/120 u) (.f32 -1/6 (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) n1_i))
(.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (-.f32 (.f32 (pow.f32 u 3) 1/6) (.f32 u 1/6)))) (.f32 -1 n1_i))
(neg.f32 (.f32 n1_i (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u))))))
(.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u)))) (neg.f32 n1_i))
(.f32 n1_i (neg.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u))))))
(.f32 -1 (.f32 (+.f32 (.f32 -1/120 u) (.f32 -1/6 (-.f32 (.f32 1/6 (pow.f32 u 3)) (.f32 1/6 u)))) n1_i))
(.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (-.f32 (.f32 (pow.f32 u 3) 1/6) (.f32 u 1/6)))) (.f32 -1 n1_i))
(neg.f32 (.f32 n1_i (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u))))))
(.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u)))) (neg.f32 n1_i))
(.f32 n1_i (neg.f32 (+.f32 (.f32 u -1/120) (.f32 -1/6 (.f32 1/6 (-.f32 (pow.f32 u 3) u))))))
(.f32 (+.f32 (.f32 1/120 n1_i) (*.f32 -1/36 n1_i)) u)
(.f32 u (+.f32 (.f32 1/120 n1_i) (*.f32 n1_i -1/36)))
(.f32 u (.f32 n1_i -7/360))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 u (+.f32 (.f32 1/120 n1_i) (.f32 n1_i -1/36))) (.f32 n1_i (*.f32 1/36 (pow.f32 u 3))))
(+.f32 (.f32 u (.f32 n1_i -7/360)) (.f32 (pow.f32 u 3) (.f32 n1_i 1/36)))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 u (+.f32 (.f32 1/120 n1_i) (.f32 n1_i -1/36))) (.f32 n1_i (*.f32 1/36 (pow.f32 u 3))))
(+.f32 (.f32 u (.f32 n1_i -7/360)) (.f32 (pow.f32 u 3) (.f32 n1_i 1/36)))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 u (+.f32 (.f32 1/120 n1_i) (.f32 n1_i -1/36))) (.f32 n1_i (*.f32 1/36 (pow.f32 u 3))))
(+.f32 (.f32 u (.f32 n1_i -7/360)) (.f32 (pow.f32 u 3) (.f32 n1_i 1/36)))
(.f32 1/36 (.f32 n1_i (pow.f32 u 3)))
(.f32 n1_i (.f32 1/36 (pow.f32 u 3)))
(.f32 (pow.f32 u 3) (.f32 n1_i 1/36))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 u (+.f32 (.f32 1/120 n1_i) (.f32 n1_i -1/36))) (.f32 n1_i (*.f32 1/36 (pow.f32 u 3))))
(+.f32 (.f32 u (.f32 n1_i -7/360)) (.f32 (pow.f32 u 3) (.f32 n1_i 1/36)))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 u (+.f32 (.f32 1/120 n1_i) (.f32 n1_i -1/36))) (.f32 n1_i (*.f32 1/36 (pow.f32 u 3))))
(+.f32 (.f32 u (.f32 n1_i -7/360)) (.f32 (pow.f32 u 3) (.f32 n1_i 1/36)))
(+.f32 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) u) (.f32 1/36 (*.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 u (+.f32 (.f32 1/120 n1_i) (.f32 n1_i -1/36))) (.f32 n1_i (*.f32 1/36 (pow.f32 u 3))))
(+.f32 (.f32 u (.f32 n1_i -7/360)) (.f32 (pow.f32 u 3) (.f32 n1_i 1/36)))
(.f32 1/36 (.f32 n1_i (pow.f32 u 3)))
(.f32 n1_i (.f32 1/36 (pow.f32 u 3)))
(.f32 (pow.f32 u 3) (.f32 n1_i 1/36))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/120 n1_i) (.f32 1/36 n1_i)) u)) (.f32 1/36 (.f32 n1_i (pow.f32 u 3))))
(+.f32 (.f32 n1_i (.f32 1/36 (pow.f32 u 3))) (.f32 (+.f32 (.f32 n1_i -1/120) (.f32 n1_i 1/36)) (.f32 -1 u)))
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(+.f32 (.f32 u (.f32 1/120 n1_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (*.f32 -1/6 n1_i))))
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 -1/6 (.f32 -1/6 (*.f32 n1_i (-.f32 (pow.f32 u 3) u)))))
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (*.f32 -1/6 n1_i))))
(/.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 2) 2)
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 -1/6 (.f32 (*.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u))))
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 -1/6 (.f32 -1/6 (*.f32 (-.f32 (pow.f32 u 3) u) n1_i))))
(+.f32 (.f32 u (.f32 1/120 n1_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (*.f32 -1/6 n1_i))))
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 -1/6 (.f32 -1/6 (*.f32 n1_i (-.f32 (pow.f32 u 3) u)))))
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (*.f32 -1/6 n1_i))))
(pow.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/6 (.f32 (*.f32 n1_i -1/6) (-.f32 (pow.f32 u 3) u)))) 1)
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 -1/6 (.f32 (*.f32 -1/6 n1_i) (-.f32 (pow.f32 u 3) u))))
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 -1/6 (.f32 -1/6 (*.f32 (-.f32 (pow.f32 u 3) u) n1_i))))
(+.f32 (.f32 u (.f32 1/120 n1_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (*.f32 -1/6 n1_i))))
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 -1/6 (.f32 -1/6 (*.f32 n1_i (-.f32 (pow.f32 u 3) u)))))
(+.f32 (.f32 1/120 (.f32 u n1_i)) (.f32 (-.f32 (pow.f32 u 3) u) (.f32 -1/6 (*.f32 -1/6 n1_i))))
(+.f32 (.f32 n1_i (.f32 u -1/6)) 0)
(.f32 u (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 u n1_i))
(+.f32 0 (.f32 n1_i (.f32 u -1/6)))
(.f32 u (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 u n1_i))
(-.f32 (.f32 n1_i (.f32 u -1/6)) 0)
(.f32 u (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 u n1_i))
(/.f32 (.f32 n1_i (.f32 u -1/6)) 1)
(.f32 u (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 u n1_i))
(/.f32 (.f32 n1_i (.f32 u -1/6)) (/.f32 (.f32 n1_i (.f32 u -1/6)) (.f32 n1_i (.f32 u -1/6))))
(.f32 u (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 u n1_i))
(/.f32 (.f32 n1_i (.f32 u -1/3)) 2)
(/.f32 (.f32 u (.f32 n1_i -1/3)) 2)
(pow.f32 (.f32 n1_i (.f32 u -1/6)) 1)
(.f32 u (.f32 -1/6 n1_i))
(.f32 -1/6 (.f32 u n1_i))

localize35.0ms (0.2%)

Local error

Found 2 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)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts

2 → 30

Calls

15 calls:

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

rewrite107.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

994×	`rational_best.json-simplify-57`
756×	`rational_best.json-simplify-80`
666×	`rational_best.json-simplify-43`
592×	`rational_best.json-simplify-44`
522×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	82	38
2	264	38
3	1115	38
4	4956	38

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

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

simplify183.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1276×	`rational_best.json-simplify-2`
638×	`rational_best.json-simplify-80`
614×	`rational_best.json-simplify-129`
600×	`rational_best.json-simplify-49`
570×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	81	1226
1	156	1174
2	590	1174
3	2408	1174
4	5813	1174

Stop Event

1×	node limit

Counts

62 → 60

Calls

Call 1

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

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

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (*.f32 (-.f32 1 u) normAngle))
	0.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	10.7b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))

Compiler

Compiled 43 to 26 computations (39.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

15 calls:

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

rewrite135.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`rational_best.json-5`
864×	`rational_best.json-2`
864×	`rational_best.json-3`
864×	`rational_best.json-1`
864×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	113	50
2	408	50
3	1765	50
4	7923	50

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

Outputs

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

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

simplify159.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

978×	`rational_best.json-simplify-2`
894×	`rational_best.json-simplify-48`
866×	`rational_best.json-simplify-80`
780×	`rational_best.json-simplify-78`
598×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	2785
1	439	2705
2	900	2663
3	1899	2663
4	4048	2663

Stop Event

1×	node limit

Counts

73 → 126

Calls

Call 1

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

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

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 1 (sin.f32 normAngle))
✓	0.1b	(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
✓	0.1b	(.f32 n1_i (sin.f32 (.f32 u normAngle)))
	12.9b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 u normAngle))))

Compiler

Compiled 52 to 18 computations (65.4% saved)

series6.0ms (0%)

Counts

3 → 88

Calls

24 calls:

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

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1016×	`rational_best.json-5`
1014×	`rational_best.json-2`
1014×	`rational_best.json-3`
1014×	`rational_best.json-1`
1014×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	67
1	133	67
2	473	67
3	2049	67

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

Outputs

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

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

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

simplify242.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1136×	`rational_best.json-simplify-2`
898×	`rational_best.json-simplify-24`
782×	`rational_best.json-simplify-78`
642×	`rational_best.json-simplify-80`
642×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	164	4058
1	352	3968
2	906	3926
3	2028	3926
4	4334	3926
5	7395	3926

Stop Event

1×	node limit

Counts

128 → 105

Calls

Call 1

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

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

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i)
✓	0.1b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
	0.1b	(*.f32 (-.f32 1 u) n0_i)
	1.3b	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

Compiler

Compiled 67 to 30 computations (55.2% saved)

series3.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1118×	`rational_best.json-5`
1116×	`rational_best.json-2`
1116×	`rational_best.json-3`
1116×	`rational_best.json-1`
1116×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	84
1	148	84
2	522	84
3	2283	84

Stop Event

1×	node limit

Counts

2 → 24

Calls

Call 1

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

Outputs

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

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

simplify261.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

920×	`rational_best.json-simplify-2`
820×	`rational_best.json-simplify-1`
718×	`rational_best.json-simplify-78`
686×	`rational_best.json-simplify-24`
678×	`rational_best.json-simplify-29`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	145	5320
1	305	5214
2	787	5130
3	1693	5130
4	3831	5130
5	6481	5130

Stop Event

1×	node limit

Counts

108 → 116

Calls

Call 1

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

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

eval995.0ms (5%)

Compiler: Compiled 28931 to 17401 computations (39.9% saved)

prune436.0ms (2.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	686	13	699
Fresh	6	2	8
Picked	1	0	1
Done	2	2	4
Total	695	17	712

Error

0.0b

Counts

712 → 17

Alt Table

Click to see full alt table

Status	Error	Program
▶	16.7b	(/.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (sin.f32 normAngle))
✓	16.7b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	22.0b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
▶	0.7b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	5.4b	(+.f32 (*.f32 n1_i u) n0_i)
	14.0b	(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 normAngle u))) (sin.f32 normAngle))) (+.f32 n0_i (.f32 -1/2 (.f32 n0_i (pow.f32 (*.f32 normAngle u) 2)))))
	8.8b	(+.f32 n0_i (/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle)))
	8.8b	(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u (*.f32 normAngle n1_i))))
	8.8b	(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (+.f32 (.f32 normAngle 1/6) (.f32 (pow.f32 normAngle 3) 7/360))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
	8.9b	(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
	5.6b	(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n1_i (/.f32 1 (sin.f32 normAngle)))))
▶	0.4b	(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
	13.4b	(*.f32 (-.f32 1 u) n0_i)
▶	0.7b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))
▶	19.3b	(*.f32 u n1_i)
	16.7b	n0_i

Compiler

Compiled 515 to 350 computations (32% saved)

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite104.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1086×	`rational_best.json-simplify-57`
720×	`rational_best.json-simplify-43`
598×	`rational_best.json-simplify-44`
542×	`rational_best.json-5`
540×	`rational_best.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	40
1	89	40
2	300	40
3	1193	40
4	5183	40

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (*.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))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) (/.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (*.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)))) 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 u (+.f32 n1_i (neg.f32 n0_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (+.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)))) (*.f32 (+.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (/.f32 1 (/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))))) (#(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 (/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))) (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.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 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)))) (+.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.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 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.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 (/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.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 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (+.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 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)))) (+.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 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.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 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (+.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 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 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (/.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.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 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 (+.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 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) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_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))))))))))

simplify251.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1376×	`rational_best.json-simplify-80`
1324×	`rational_best.json-simplify-129`
1288×	`rational_best.json-simplify-78`
1226×	`rational_best.json-simplify-94`
1130×	`rational_best.json-simplify-135`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	87	2432
1	175	1930
2	712	1930
3	3658	1930

Stop Event

1×	node limit

Counts

104 → 63

Calls

Call 1

Inputs
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (-.f32 n1_i n0_i) u)
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
n0_i
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(*.f32 n1_i u)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 0)
(+.f32 0 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(-.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 0)
(-.f32 0 (neg.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))
(/.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 1)
(/.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (/.f32 (.f32 u (+.f32 n1_i (neg.f32 n0_i))) (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))
(/.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u)) 2)
(/.f32 (neg.f32 (*.f32 (+.f32 n1_i (neg.f32 n0_i)) (+.f32 u u))) -2)
(pow.f32 (*.f32 u (+.f32 n1_i (neg.f32 n0_i))) 1)
(neg.f32 (neg.f32 (*.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 u (+.f32 n1_i (neg.f32 n0_i)))) 1)
(.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)))) (+.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 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 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (/.f32 1 (/.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_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 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))
(.f32 (/.f32 1 (+.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 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)))) (+.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 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 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))
(.f32 (/.f32 1 (/.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.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 (/.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.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 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))))
(.f32 (/.f32 (/.f32 1 (+.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 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)))) (+.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 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))
(.f32 (/.f32 (/.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.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 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(.f32 (/.f32 (.f32 (+.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 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 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))))
(.f32 (/.f32 (/.f32 1 (/.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i)))) (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.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 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 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 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) 2)
(/.f32 (.f32 (neg.f32 (+.f32 n0_i (.f32 u (+.f32 n1_i (neg.f32 n0_i))))) 2) -2)
(pow.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) 1)
(neg.f32 (neg.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))))

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

localize8.0ms (0%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

localize70.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 91 to 48 computations (47.3% saved)

series5.0ms (0%)

Counts

3 → 108

Calls

27 calls:

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

rewrite141.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

858×	`rational_best.json-simplify-44`
680×	`rational_best.json-5`
678×	`rational_best.json-2`
678×	`rational_best.json-3`
678×	`rational_best.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	117
1	101	117
2	337	117
3	1459	117
4	6990	117

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

Inputs

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

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

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

Outputs

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n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (/.f32 1 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))) (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))) (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 1 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))) (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))) (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (*.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))) (+.f32 (*.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))) (*.f32 (+.f32 (*.f32 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simplify219.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1370×	`rational_best.json-simplify-48`
960×	`rational_best.json-simplify-44`
940×	`rational_best.json-simplify-54`
906×	`rational_best.json-simplify-80`
900×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	9160
1	644	9010
2	1843	8990
3	4357	8990

Stop Event

1×	node limit

Counts

200 → 204

Calls

Call 1

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

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

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)
✓	0.1b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	0.1b	(*.f32 (-.f32 1 u) n0_i)
✓	1.1b	(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))

Compiler

Compiled 50 to 18 computations (64% saved)

series11.0ms (0.1%)

Counts

3 → 88

Calls

27 calls:

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

rewrite128.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`rational_best.json-5`
916×	`rational_best.json-2`
916×	`rational_best.json-3`
916×	`rational_best.json-1`
916×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	81
1	129	81
2	448	81
3	1910	81
4	7873	81

Stop Event

1×	node limit

Counts

3 → 40

Calls

Call 1

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

Outputs

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

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

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

simplify262.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1102×	`rational_best.json-simplify-2`
818×	`rational_best.json-simplify-78`
678×	`rational_best.json-simplify-80`
638×	`rational_best.json-simplify-43`
512×	`rational_best.json-simplify-94`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	153	4416
1	322	4134
2	858	4134
3	1952	4128
4	4512	4128
5	7865	4128

Stop Event

1×	node limit

Counts

128 → 115

Calls

Call 1

Inputs
u
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) u)
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (.f32 1/120 u)) (pow.f32 normAngle 4))) u))
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 u) (+.f32 (.f32 -1/5040 u) (.f32 1/6 (+.f32 (.f32 -1/36 u) (.f32 1/120 u))))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (*.f32 1/120 u)) (pow.f32 normAngle 4))) u)))
n0_i
(+.f32 (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 -1 n0_i)) u) n0_i)
(+.f32 (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 -1 n0_i)) u) n0_i)
(.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 -1 n0_i)) u)
(+.f32 n0_i (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 -1 n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 -1 n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 -1 n0_i)) u))
(.f32 -1 (.f32 u (+.f32 n0_i (.f32 -1 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle))))))
(+.f32 n0_i (.f32 -1 (.f32 u (+.f32 n0_i (.f32 -1 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)))))))
(+.f32 n0_i (.f32 -1 (.f32 u (+.f32 n0_i (.f32 -1 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)))))))
(+.f32 n0_i (.f32 -1 (.f32 u (+.f32 n0_i (.f32 -1 (/.f32 (.f32 n1_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 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 1/6 (.f32 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 (-.f32 1 u) n0_i) (.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2)))))))
(+.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 (-.f32 1 u) n0_i) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (*.f32 (-.f32 1 u) 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))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u))) (pow.f32 normAngle 4))) (+.f32 (.f32 n1_i u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 (.f32 n1_i u)) (.f32 -1/36 (.f32 n1_i u)))) (+.f32 (.f32 -1/5040 (.f32 n1_i u)) (.f32 1/720 (*.f32 n1_i u)))) (pow.f32 normAngle 6))))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) 0)
(+.f32 0 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(-.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) 0)
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) 1)
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 1 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 1 (/.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))))
(.f32 1 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 1 (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (/.f32 1 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 1 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)))
(.f32 (/.f32 (/.f32 1 (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))) (.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))))
(.f32 (/.f32 (/.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))
(.f32 (/.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 1 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))) (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (/.f32 (.f32 u normAngle) (sin.f32 normAngle))))
(pow.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) 1)
(-.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)) 0)
(.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) 1)
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (/.f32 1 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)))))
(.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)))
(.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)))) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)))
(.f32 (/.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)))) (.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)))))
(.f32 (/.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(.f32 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)))) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)) 1)
(/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))))
(/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)) 2) 2)
(pow.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i)) 1)
(+.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i) 0)
(+.f32 0 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
(-.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i) 0)
(/.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i) 1)
(/.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i) (/.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)))
(/.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) (+.f32 n1_i n1_i)) 2)
(pow.f32 (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i) 1)

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

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (+.f32 normAngle (*.f32 u (neg.f32 normAngle))))
✓	0.1b	(+.f32 normAngle (*.f32 u (neg.f32 normAngle)))
✓	0.1b	(.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i)
✓	10.7b	(/.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (sin.f32 normAngle))

Compiler

Compiled 49 to 11 computations (77.6% saved)

series11.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

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

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`rational_best.json-5`
1080×	`rational_best.json-2`
1080×	`rational_best.json-3`
1080×	`rational_best.json-1`
1080×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	102
1	127	102
2	508	102
3	2166	102

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

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

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

simplify212.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational_best.json-simplify-48`
1048×	`rational_best.json-simplify-2`
644×	`rational_best.json-simplify-132`
590×	`rational_best.json-simplify-49`
572×	`rational_best.json-simplify-1`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	291	6805
1	621	6451
2	1537	6409
3	3494	6409
4	7753	6409

Stop Event

1×	node limit

Counts

197 → 197

Calls

Call 1

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

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

eval739.0ms (3.7%)

Compiler: Compiled 29715 to 14967 computations (49.6% saved)

prune295.0ms (1.5%)

Pruning

23 alts after pruning (19 fresh and 4 done)

	Pruned	Kept	Total
New	766	11	777
Fresh	2	8	10
Picked	0	1	1
Done	3	3	6
Total	771	23	794

Error

0.0b

Counts

794 → 23

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.7b	(/.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (sin.f32 normAngle))
✓	16.7b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	22.0b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	22.0b	(/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle))
▶	0.4b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	5.4b	(+.f32 (*.f32 n1_i u) n0_i)
	14.1b	(+.f32 (neg.f32 (/.f32 (.f32 u (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) (+.f32 n0_i (.f32 n0_i (.f32 -1/2 (pow.f32 (.f32 u normAngle) 2)))))
	8.8b	(+.f32 n0_i (/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle)))
	5.6b	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	8.8b	(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (+.f32 (.f32 normAngle 1/6) (.f32 (pow.f32 normAngle 3) 7/360))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
▶	8.9b	(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
	5.6b	(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n1_i (/.f32 1 (sin.f32 normAngle)))))
	13.4b	(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
▶	13.4b	(*.f32 (-.f32 1 u) n0_i)
▶	5.5b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (*.f32 u n1_i)))))
	8.9b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))
▶	16.5b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))))
	19.9b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (*.f32 n1_i u))))
	0.6b	(.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)))) (/.f32 1 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))
	16.2b	(.f32 (.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))
✓	19.3b	(*.f32 u n1_i)
	16.7b	n0_i

Compiler

Compiled 1052 to 650 computations (38.2% saved)

localize19.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 7 computations (68.2% saved)

series2.0ms (0%)

Counts

2 → 51

Calls

18 calls:

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

rewrite145.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`rational_best.json-simplify-57`
672×	`rational_best.json-simplify-80`
614×	`rational_best.json-simplify-43`
590×	`rational_best.json-simplify-49`
464×	`rational_best.json-simplify-78`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	32
1	68	32
2	236	32
3	991	32
4	4333	32

Stop Event

1×	node limit

Counts

2 → 42

Calls

Call 1

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

Outputs

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

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

simplify200.0ms (1%)

Algorithm

1×	egg-herbie

Rules

814×	`rational_best.json-simplify-2`
810×	`rational_best.json-simplify-135`
782×	`rational_best.json-simplify-49`
736×	`rational_best.json-simplify-129`
678×	`rational_best.json-simplify-80`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	1911
1	204	1719
2	886	1665
3	2872	1665
4	6160	1665

Stop Event

1×	node limit

Counts

93 → 83

Calls

Call 1

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

Outputs
(.f32 -1 (.f32 n0_i u))
(neg.f32 (*.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (*.f32 n1_i u))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 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 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 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 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(.f32 -1 (.f32 n0_i u))
(neg.f32 (*.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(.f32 -1 (.f32 n0_i u))
(neg.f32 (*.f32 n0_i u))
(*.f32 n0_i (neg.f32 u))
(*.f32 u (neg.f32 n0_i))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 n0_i u)))
(+.f32 (.f32 u n1_i) (.f32 -1 (*.f32 n0_i u)))
(.f32 u (+.f32 n1_i (.f32 -1 n0_i)))
(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 n0_i (.f32 -1 (.f32 n0_i u)))
(+.f32 n0_i (neg.f32 (*.f32 n0_i u)))
(+.f32 n0_i (*.f32 n0_i (neg.f32 u)))
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 -1 n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 -1 n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 -1 n0_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 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 -1 (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 -1 n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 -1 (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 -1 n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 -1 (*.f32 n0_i u))))
(+.f32 (.f32 -1 (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 -1 n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(*.f32 n1_i u)
(*.f32 u n1_i)
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 -1 n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 -1 n0_i))))
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
(+.f32 (.f32 -1 (.f32 n0_i u)) (+.f32 n0_i (*.f32 u n1_i)))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 -1 n0_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 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(.f32 n0_i (+.f32 1 (.f32 -1 u)))
(*.f32 n0_i (+.f32 1 (neg.f32 u)))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(+.f32 (.f32 n1_i u) (.f32 (+.f32 1 (*.f32 -1 u)) n0_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (*.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 n0_i (+.f32 1 (neg.f32 u))))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(.f32 (+.f32 u -1) (.f32 -1 n0_i))
(neg.f32 (*.f32 n0_i (+.f32 -1 u)))
(*.f32 (+.f32 -1 u) (neg.f32 n0_i))
(*.f32 n0_i (neg.f32 (+.f32 -1 u)))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 u n1_i) (.f32 (+.f32 u -1) (*.f32 -1 n0_i)))
(+.f32 (.f32 u n1_i) (neg.f32 (.f32 n0_i (+.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 (+.f32 -1 u) (neg.f32 n0_i)))
(+.f32 (.f32 u n1_i) (.f32 n0_i (neg.f32 (+.f32 -1 u))))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 u n1_i) (.f32 (+.f32 u -1) (*.f32 -1 n0_i)))
(+.f32 (.f32 u n1_i) (neg.f32 (.f32 n0_i (+.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 (+.f32 -1 u) (neg.f32 n0_i)))
(+.f32 (.f32 u n1_i) (.f32 n0_i (neg.f32 (+.f32 -1 u))))
(+.f32 (.f32 n1_i u) (.f32 -1 (*.f32 (-.f32 u 1) n0_i)))
(+.f32 (.f32 u n1_i) (.f32 (+.f32 u -1) (*.f32 -1 n0_i)))
(+.f32 (.f32 u n1_i) (neg.f32 (.f32 n0_i (+.f32 -1 u))))
(+.f32 (.f32 u n1_i) (.f32 (+.f32 -1 u) (neg.f32 n0_i)))
(+.f32 (.f32 u n1_i) (.f32 n0_i (neg.f32 (+.f32 -1 u))))
n0_i
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 u (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) 0)
(*.f32 u (-.f32 n1_i n0_i))
(+.f32 0 (*.f32 (-.f32 n1_i n0_i) u))
(*.f32 u (-.f32 n1_i n0_i))
(-.f32 (*.f32 (-.f32 n1_i n0_i) u) 0)
(*.f32 u (-.f32 n1_i n0_i))
(-.f32 0 (neg.f32 (*.f32 (-.f32 n1_i n0_i) u)))
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (*.f32 (-.f32 n1_i n0_i) u) 1)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (.f32 (-.f32 n1_i n0_i) u) (/.f32 (.f32 (-.f32 n1_i n0_i) u) (*.f32 (-.f32 n1_i n0_i) u)))
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (*.f32 (-.f32 n1_i n0_i) (+.f32 u u)) 2)
(*.f32 u (-.f32 n1_i n0_i))
(/.f32 (.f32 (neg.f32 (.f32 (-.f32 n1_i n0_i) u)) 2) -2)
(*.f32 u (-.f32 n1_i n0_i))
(pow.f32 (*.f32 (-.f32 n1_i n0_i) u) 1)
(*.f32 u (-.f32 n1_i n0_i))
(neg.f32 (neg.f32 (*.f32 (-.f32 n1_i n0_i) u)))
(*.f32 u (-.f32 n1_i n0_i))
(-.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 0)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(-.f32 0 (neg.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 1)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 1 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 1 (/.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 (+.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 n1_i n0_i) u)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (/.f32 1 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (/.f32 (/.f32 (+.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 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 1 (/.f32 (+.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 n1_i n0_i) u)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 1 (/.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 (/.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (/.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (/.f32 (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (/.f32 (/.f32 (/.f32 (+.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 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (/.f32 (/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 (/.f32 (+.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 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (.f32 (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))))) (/.f32 (/.f32 (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 (/.f32 (/.f32 (+.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 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 (/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 (/.f32 (/.f32 1 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))))) (.f32 (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)))) (.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(.f32 (/.f32 (/.f32 1 (/.f32 (+.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 n1_i n0_i) u))) (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (/.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) 2) 2)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(/.f32 (.f32 (neg.f32 (+.f32 n0_i (.f32 (-.f32 n1_i n0_i) u))) 2) -2)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(pow.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u)) 1)
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(neg.f32 (neg.f32 (+.f32 n0_i (*.f32 (-.f32 n1_i n0_i) u))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f32 (-.f32 1 u) n0_i)
✓	0.2b	(/.f32 1 (+.f32 n0_i (*.f32 u n1_i)))
✓	0.2b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (*.f32 u n1_i)))))
✓	0.4b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (.f32 u n1_i))))

Compiler

Compiled 84 to 37 computations (56% saved)

series77.0ms (0.4%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
64.0ms	n0_i	@	-inf	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (*.f32 u n1_i)))))
2.0ms	u	@	inf	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (.f32 u n1_i))))
1.0ms	u	@	-inf	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (*.f32 u n1_i)))))
1.0ms	n1_i	@	-inf	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (*.f32 u n1_i)))))
1.0ms	u	@	inf	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (*.f32 u n1_i)))))

rewrite120.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1346×	`rational_best.json-simplify-57`
750×	`rational_best.json-5`
748×	`rational_best.json-2`
748×	`rational_best.json-3`
748×	`rational_best.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	147
1	117	147
2	375	147
3	1605	147
4	6636	147

Stop Event

1×	node limit

Counts

3 → 37

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify733.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1132×	`rational_best.json-simplify-1`
952×	`rational_best.json-simplify-44`
740×	`rational_best.json-simplify-132`
640×	`rational_best.json-simplify-2`
586×	`rational_best.json-simplify-49`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	485	12139
1	963	11249
2	1612	11161
3	3241	11079
4	4675	11055
5	7428	10995

Stop Event

1×	node limit

Counts

145 → 341

Calls

Call 1

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

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

localize413.0ms (2.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))
✓	0.3b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))
✓	0.3b	(.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))
✓	15.4b	(.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))))

Compiler

Compiled 391 to 218 computations (44.2% saved)

series23.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1020×	`rational_best.json-5`
1018×	`rational_best.json-2`
1018×	`rational_best.json-3`
1018×	`rational_best.json-1`
1018×	`exponential.json-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	328
1	137	184
2	461	184
3	2029	184

Stop Event

1×	node limit

Counts

4 → 63

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) n0_i))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))) (#(struct:change #<rule 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(#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (/.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (neg.f32 (/.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (-.f32 0 (neg.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (-.f32 0 (/.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (fabs.f32 (/.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (/.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) 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simplify344.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1350×	`rational_best.json-simplify-132`
834×	`rational_best.json-simplify-44`
812×	`rational_best.json-simplify-1`
742×	`rational_best.json-simplify-80`
730×	`rational_best.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	430	13253
1	924	12357
2	1536	12333
3	3606	12331
4	7314	12331

Stop Event

1×	node limit

Counts

207 → 256

Calls

Call 1

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

Outputs
n0_i
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 (+.f32 n1_i (.f32 n0_i -1)) u))
(+.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) u))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 (+.f32 n1_i (.f32 n0_i -1)) u))
(+.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) u))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 (+.f32 n1_i (.f32 n0_i -1)) u))
(+.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) u))
(.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)
(.f32 (+.f32 n1_i (.f32 n0_i -1)) u)
(*.f32 (+.f32 n1_i (neg.f32 n0_i)) u)
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 (+.f32 n1_i (.f32 n0_i -1)) u))
(+.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) u))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 (+.f32 n1_i (.f32 n0_i -1)) u))
(+.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) u))
(+.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) n0_i)
(+.f32 n0_i (.f32 (+.f32 n1_i (.f32 n0_i -1)) u))
(+.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) u))
(.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i)))
(.f32 u (.f32 -1 (+.f32 n0_i (*.f32 n1_i -1))))
(neg.f32 (*.f32 u (+.f32 n0_i (neg.f32 n1_i))))
(*.f32 u (neg.f32 (+.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 u (.f32 -1 (+.f32 n0_i (*.f32 n1_i -1)))))
(+.f32 n0_i (neg.f32 (*.f32 u (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 n0_i (*.f32 u (neg.f32 (+.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 u (.f32 -1 (+.f32 n0_i (*.f32 n1_i -1)))))
(+.f32 n0_i (neg.f32 (*.f32 u (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 n0_i (*.f32 u (neg.f32 (+.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 u (.f32 -1 (+.f32 n0_i (*.f32 n1_i -1)))))
(+.f32 n0_i (neg.f32 (*.f32 u (+.f32 n0_i (neg.f32 n1_i)))))
(+.f32 n0_i (*.f32 u (neg.f32 (+.f32 n0_i (neg.f32 n1_i)))))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(*.f32 (-.f32 1 u) n0_i)
(*.f32 n0_i (-.f32 1 u))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(*.f32 n1_i u)
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))
(/.f32 1 (pow.f32 n0_i 2))
(+.f32 (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (*.f32 -1 n0_i)) u) (pow.f32 n0_i 3))) (/.f32 1 (pow.f32 n0_i 2)))
(+.f32 (/.f32 1 (pow.f32 n0_i 2)) (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (*.f32 n0_i -1)) u) (pow.f32 n0_i 3))))
(+.f32 (/.f32 1 (pow.f32 n0_i 2)) (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) u) (pow.f32 n0_i 3))))
(+.f32 (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (pow.f32 n0_i 3))) (+.f32 (/.f32 1 (pow.f32 n0_i 2)) (.f32 -1 (.f32 (pow.f32 u 2) (+.f32 (.f32 -4 (/.f32 (pow.f32 (+.f32 n1_i (.f32 -1 n0_i)) 2) (pow.f32 n0_i 4))) (/.f32 (pow.f32 (+.f32 n1_i (.f32 -1 n0_i)) 2) (pow.f32 n0_i 4)))))))
(+.f32 (.f32 -1 (.f32 (pow.f32 u 2) (+.f32 (/.f32 (pow.f32 (+.f32 n1_i (.f32 n0_i -1)) 2) (pow.f32 n0_i 4)) (.f32 -4 (/.f32 (pow.f32 (+.f32 n1_i (.f32 n0_i -1)) 2) (pow.f32 n0_i 4)))))) (+.f32 (/.f32 1 (pow.f32 n0_i 2)) (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (.f32 n0_i -1)) u) (pow.f32 n0_i 3)))))
(+.f32 (+.f32 (/.f32 1 (pow.f32 n0_i 2)) (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) u) (pow.f32 n0_i 3)))) (neg.f32 (.f32 (pow.f32 u 2) (+.f32 (/.f32 (pow.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) (pow.f32 n0_i 4)) (.f32 -4 (/.f32 (pow.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) (pow.f32 n0_i 4)))))))
(+.f32 (/.f32 1 (pow.f32 n0_i 2)) (+.f32 (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) u) (pow.f32 n0_i 3))) (neg.f32 (.f32 (pow.f32 u 2) (+.f32 (/.f32 (pow.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) (pow.f32 n0_i 4)) (.f32 -4 (/.f32 (pow.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) (pow.f32 n0_i 4))))))))
(+.f32 (+.f32 (/.f32 1 (pow.f32 n0_i 2)) (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (neg.f32 n0_i)) u) (pow.f32 n0_i 3)))) (.f32 (+.f32 (/.f32 (pow.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) (pow.f32 n0_i 4)) (.f32 -4 (/.f32 (pow.f32 (+.f32 n1_i (neg.f32 n0_i)) 2) (pow.f32 n0_i 4)))) (neg.f32 (pow.f32 u 2))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -2 (/.f32 (pow.f32 (+.f32 n1_i (.f32 -1 n0_i)) 3) (pow.f32 n0_i 5))) (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) (+.f32 (.f32 -4 (/.f32 (pow.f32 (+.f32 n1_i (.f32 -1 n0_i)) 2) (pow.f32 n0_i 4))) (/.f32 (pow.f32 (+.f32 n1_i (.f32 -1 n0_i)) 2) (pow.f32 n0_i 4)))) n0_i))) (pow.f32 u 3))) (+.f32 (.f32 -2 (/.f32 (.f32 (+.f32 n1_i (.f32 -1 n0_i)) u) (pow.f32 n0_i 3))) (+.f32 (/.f32 1 (pow.f32 n0_i 2)) (.f32 -1 (.f32 (pow.f32 u 2) (+.f32 (.f32 -4 (/.f32 (pow.f32 (+.f32 n1_i (.f32 -1 n0_i)) 2) (pow.f32 n0_i 4))) (/.f32 (pow.f32 (+.f32 n1_i (.f32 -1 n0_i)) 2) (pow.f32 n0_i 4))))))))
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(*.f32 (pow.f32 n1_i 2) (pow.f32 u 2))
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(*.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 n0_i 2))
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(*.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 n0_i 2))
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(+.f32 (pow.f32 (.f32 n0_i (-.f32 1 u)) 2) (.f32 n0_i (.f32 (.f32 u (-.f32 1 u)) (+.f32 n1_i n1_i))))
(+.f32 (pow.f32 (.f32 n0_i (-.f32 1 u)) 2) (.f32 n0_i (.f32 (-.f32 1 u) (.f32 n1_i (+.f32 u u)))))
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(*.f32 (pow.f32 (-.f32 1 u) 2) (pow.f32 n0_i 2))
(pow.f32 (*.f32 n0_i (-.f32 1 u)) 2)
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(+.f32 (pow.f32 (.f32 n0_i (-.f32 1 u)) 2) (.f32 n0_i (+.f32 (.f32 n1_i (.f32 u (-.f32 1 u))) (.f32 n1_i (.f32 u (-.f32 1 u))))))
(+.f32 (pow.f32 (.f32 n0_i (-.f32 1 u)) 2) (.f32 n0_i (.f32 (.f32 u (-.f32 1 u)) (+.f32 n1_i n1_i))))
(+.f32 (pow.f32 (.f32 n0_i (-.f32 1 u)) 2) (.f32 n0_i (.f32 (-.f32 1 u) (.f32 n1_i (+.f32 u u)))))
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(*.f32 (pow.f32 n1_i 2) (pow.f32 u 2))
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(+.f32 (pow.f32 (.f32 n1_i u) 2) (.f32 n0_i (.f32 (.f32 u (-.f32 1 u)) (+.f32 n1_i n1_i))))
(+.f32 (pow.f32 (.f32 n1_i u) 2) (.f32 n0_i (.f32 (-.f32 1 u) (.f32 n1_i (+.f32 u u)))))
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(*.f32 (pow.f32 n1_i 2) (pow.f32 u 2))
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n0_i
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(+.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) u))
(.f32 (+.f32 n1_i (.f32 -1 n0_i)) u)
(.f32 (+.f32 n1_i (.f32 n0_i -1)) u)
(*.f32 (+.f32 n1_i (neg.f32 n0_i)) u)
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(+.f32 n0_i (.f32 (+.f32 n1_i (.f32 n0_i -1)) u))
(+.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) u))
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(+.f32 n0_i (.f32 (+.f32 n1_i (.f32 n0_i -1)) u))
(+.f32 n0_i (*.f32 (+.f32 n1_i (neg.f32 n0_i)) u))
(.f32 -1 (.f32 u (+.f32 (*.f32 -1 n1_i) n0_i)))
(.f32 u (.f32 -1 (+.f32 n0_i (*.f32 n1_i -1))))
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(fabs.f32 (neg.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (fabs.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (neg.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (-.f32 0 (neg.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (-.f32 0 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (fabs.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (neg.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (fabs.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (fabs.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (fabs.f32 (/.f32 (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 (neg.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (fabs.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(fabs.f32 (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) 2) (fabs.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)) 2)))))
(.f32 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u))) (+.f32 (.f32 n1_i u) (*.f32 n0_i (-.f32 1 u))))
(+.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) 0)
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(+.f32 0 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(-.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) 0)
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 1 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))) 1)
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (/.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (/.f32 1 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (/.f32 1 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (/.f32 (/.f32 1 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))) (.f32 (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (/.f32 (/.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(.f32 (/.f32 (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))))) (.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i))))))
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))
(pow.f32 (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) 1)
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 1 u)))))

localize92.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
	0.1b	(.f32 n1_i (sin.f32 (.f32 u normAngle)))
✓	0.3b	(*.f32 normAngle 1/6)
✓	12.9b	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))

Compiler

Compiled 66 to 31 computations (53% saved)

series8.0ms (0%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	n1_i	@	0	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
1.0ms	u	@	0	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
1.0ms	u	@	inf	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
1.0ms	normAngle	@	0	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
0.0ms	n1_i	@	inf	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))

rewrite174.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1018×	`rational_best.json-5`
1016×	`rational_best.json-2`
1016×	`rational_best.json-3`
1016×	`rational_best.json-1`
1016×	`exponential.json-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	95
1	148	95
2	497	95
3	2108	95

Stop Event

1×	node limit

Counts

3 → 31

Calls

Call 1

Inputs

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

(*.f32 normAngle 1/6)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (/.f32 (*.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (*.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) (*.f32 (sin.f32 (*.f32 normAngle u)) (+.f32 n1_i n1_i))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) (*.f32 n1_i (sin.f32 (*.f32 normAngle u)))) 1)))))

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

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

simplify275.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

850×	`rational_best.json-simplify-78`
742×	`rational_best.json-simplify-2`
726×	`rational_best.json-simplify-43`
722×	`rational_best.json-simplify-24`
694×	`rational_best.json-simplify-80`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	159	5707
1	362	5599
2	956	5599
3	2017	5599
4	4289	5599
5	7378	5599

Stop Event

1×	node limit

Counts

127 → 119

Calls

Call 1

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

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

eval715.0ms (3.6%)

Compiler: Compiled 52068 to 29626 computations (43.1% saved)

prune222.0ms (1.1%)

Pruning

24 alts after pruning (17 fresh and 7 done)

	Pruned	Kept	Total
New	869	10	879
Fresh	7	7	14
Picked	1	0	1
Done	1	7	8
Total	878	24	902

Error

0.0b

Counts

902 → 24

Alt Table

Click to see full alt table

Status	Error	Program
✓	16.7b	(/.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (sin.f32 normAngle))
✓	16.7b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	22.0b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	5.6b	(-.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) (*.f32 2 n0_i))) n0_i)
	7.1b	(-.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 2)) (.f32 (-.f32 1 u) (.f32 u (+.f32 n1_i n1_i)))) (.f32 (*.f32 u n1_i) (pow.f32 (-.f32 1 u) 2)))
✓	0.4b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	13.4b	(+.f32 (*.f32 u (neg.f32 n0_i)) n0_i)
	5.4b	(+.f32 (*.f32 u n1_i) n0_i)
✓	0.5b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	14.1b	(+.f32 (neg.f32 (/.f32 (.f32 u (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) (+.f32 n0_i (.f32 n0_i (.f32 -1/2 (pow.f32 (.f32 u normAngle) 2)))))
	8.8b	(+.f32 n0_i (/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle)))
	5.6b	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	8.8b	(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (+.f32 (.f32 normAngle 1/6) (.f32 (pow.f32 normAngle 3) 7/360))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
	8.9b	(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 u (.f32 normAngle n1_i))))
	5.7b	(+.f32 n0_i (.f32 n1_i (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
✓	13.4b	(*.f32 (-.f32 1 u) n0_i)
	16.8b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (-.f32 (+.f32 (/.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i u)) 1) (/.f32 n0_i (.f32 n1_i u))))
	11.9b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 1 (neg.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 (.f32 n0_i (-.f32 1 u)) u)) n1_i))))
	8.9b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))
	22.8b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (.f32 (+.f32 (pow.f32 n0_i 2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 u (.f32 n0_i 2)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))))
✓	16.5b	(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))))
	0.7b	(.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (.f32 u n1_i)))))
✓	19.3b	(*.f32 u n1_i)
	16.7b	n0_i

Compiler

Compiled 583 to 377 computations (35.3% saved)

regimes126.0ms (0.6%)

Counts

51 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

22.0ms	(+.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))
21.0ms	n1_i
21.0ms	u
21.0ms	n0_i
20.0ms	normAngle

Results

Error	Segments	Branch
0.4b	1	`normAngle`
0.4b	1	`u`
0.4b	1	`n0_i`
0.4b	1	`n1_i`
0.4b	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 1149 to 574 computations (50% saved)

regimes366.0ms (1.8%)

Counts

50 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 (-.f32 1 u) n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 (*.f32 u (neg.f32 n0_i)) n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
(-.f32 (+.f32 (.f32 u n1_i) (.f32 (-.f32 1 u) (*.f32 2 n0_i))) n0_i)
(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 u (.f32 normAngle n1_i))))
(.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (.f32 u n1_i)))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (*.f32 n1_i u))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 1 (neg.f32 (/.f32 (-.f32 (/.f32 n0_i u) (/.f32 (.f32 n0_i (-.f32 1 u)) u)) n1_i))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 n0_i (*.f32 u n1_i)))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (-.f32 (+.f32 (/.f32 (.f32 (-.f32 1 u) n0_i) (.f32 n1_i u)) 1) (/.f32 n0_i (.f32 n1_i u))))
(.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)))) (/.f32 1 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))
(.f32 (.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (.f32 (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))))
(/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
(+.f32 n0_i (/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle)))
(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u (*.f32 normAngle n1_i))))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
(+.f32 n0_i (.f32 n1_i (.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (.f32 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)) (/.f32 1 (.f32 (.f32 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i))) (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))) (.f32 (+.f32 (pow.f32 n0_i 2) (.f32 (+.f32 n1_i (neg.f32 n0_i)) (.f32 u (.f32 n0_i 2)))) (/.f32 1 (/.f32 1 (+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 u n1_i)))))))))
(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n1_i (/.f32 1 (sin.f32 normAngle)))))
(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 n0_i (/.f32 1 (sin.f32 normAngle)))) (.f32 n1_i u))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (+.f32 (.f32 normAngle 1/6) (.f32 (pow.f32 normAngle 3) 7/360))) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))))
(-.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 2)) (.f32 (-.f32 1 u) (.f32 u (+.f32 n1_i n1_i)))) (.f32 (*.f32 u n1_i) (pow.f32 (-.f32 1 u) 2)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (.f32 normAngle (.f32 n0_i (cos.f32 normAngle))) (sin.f32 normAngle))))))
(+.f32 (neg.f32 (/.f32 (.f32 u (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))) (+.f32 n0_i (.f32 n0_i (.f32 -1/2 (pow.f32 (.f32 u normAngle) 2)))))
(+.f32 (.f32 -1 (/.f32 (.f32 (cos.f32 normAngle) (.f32 n0_i (.f32 normAngle u))) (sin.f32 normAngle))) (+.f32 n0_i (.f32 -1/2 (.f32 n0_i (pow.f32 (*.f32 normAngle u) 2)))))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 n0_i (/.f32 1 (sin.f32 normAngle)))) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(+.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 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))))) (+.f32 n0_i (.f32 n0_i (.f32 -1/2 (pow.f32 (*.f32 u normAngle) 2)))))

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

Calls

5 calls:

199.0ms	u
86.0ms	n0_i
21.0ms	(+.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))
20.0ms	n1_i
20.0ms	normAngle

Results

Error	Segments	Branch
0.4b	1	`normAngle`
0.4b	1	`u`
0.4b	1	`n0_i`
0.4b	1	`n1_i`
0.4b	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 1080 to 530 computations (50.9% saved)

regimes29.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	n1_i
5.0ms	u
5.0ms	n0_i
5.0ms	normAngle

Results

Error	Segments	Branch
5.4b	1	`normAngle`
5.4b	1	`u`
5.4b	1	`n0_i`
3.7b	3	`n1_i`

Compiler

Compiled 55 to 31 computations (43.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	9.915390549246785e-26	5.601624374036146e-25
0.0ms	-6.190836786837847e-26	-4.7467711248995956e-26

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes25.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
5.4b	1	`normAngle`
5.4b	1	`u`
5.4b	1	`n0_i`
3.7b	3	`n1_i`

Compiler

Compiled 43 to 27 computations (37.2% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	9.915390549246785e-26	5.601624374036146e-25
0.0ms	-6.190836786837847e-26	-4.7467711248995956e-26

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes33.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

10.0ms	u
10.0ms	n0_i
9.0ms	n1_i
3.0ms	normAngle

Results

Error	Segments	Branch
13.4b	1	`normAngle`
12.4b	3	`u`
8.9b	3	`n0_i`
8.8b	3	`n1_i`

Compiler

Compiled 33 to 24 computations (27.3% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.715173831795857e-19	7.264834704911551e-19
0.0ms	-2.159422817879908e-17	-5.0916589753721836e-18

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes72.0ms (0.4%)

Accuracy

Total -17.1b remaining (-148.1%)

Threshold costs -17.1b (-148.1%)

Counts

2 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)

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

Calls

4 calls:

44.0ms	n0_i
11.0ms	n1_i
9.0ms	u
8.0ms	normAngle

Results

Error	Segments	Branch
15.5b	3	`normAngle`
13.7b	2	`u`
11.8b	3	`n0_i`
11.5b	3	`n1_i`

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.715173831795857e-19	7.264834704911551e-19
0.0ms	-3.376763710149566e-21	-8.50756774623727e-22

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify7.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	71	423

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 n0_i (/.f32 1 (sin.f32 normAngle)))) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (*.f32 n1_i u))))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -2028241/40564819207303340847894502572032) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/20282409603651670423947251286016) (+.f32 n0_i (.f32 u (neg.f32 n0_i))) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -2028241/40564819207303340847894502572032) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/20282409603651670423947251286016) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -6044629/302231454903657293676544) (.f32 u n1_i) (if (<=.f32 n1_i 9671407/19342813113834066795298816) (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))
(if (<=.f32 n1_i -309485/154742504910672534362390528) (.f32 u n1_i) (if (<=.f32 n1_i 9671407/19342813113834066795298816) n0_i (.f32 u n1_i)))
n0_i

Outputs
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 n0_i (/.f32 1 (sin.f32 normAngle)))) (+.f32 (.f32 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 (-.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (+.f32 (.f32 -1/6 (-.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 -1/6 (.f32 n1_i u)))) (.f32 1/120 (.f32 n1_i u)))) (pow.f32 normAngle 4)) (*.f32 n1_i u))))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -2028241/40564819207303340847894502572032) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/20282409603651670423947251286016) (+.f32 n0_i (.f32 u (neg.f32 n0_i))) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -2028241/40564819207303340847894502572032) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 2028241/20282409603651670423947251286016) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -6044629/302231454903657293676544) (.f32 u n1_i) (if (<=.f32 n1_i 9671407/19342813113834066795298816) (.f32 (-.f32 1 u) n0_i) (*.f32 u n1_i)))
(if (<=.f32 n1_i -309485/154742504910672534362390528) (.f32 u n1_i) (if (<=.f32 n1_i 9671407/19342813113834066795298816) n0_i (.f32 u n1_i)))
n0_i

Compiler

Compiled 186 to 116 computations (37.6% saved)

soundness121.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

30×	`rational_best.json-simplify-2`
8×	`rational_best.json-simplify-44`
6×	`trig.json-simplify-2`
4×	`rational_best.json-simplify-1`
4×	`rational_best.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	37	77
2	45	61
3	57	61
4	58	61

Stop Event

1×

saturated

Compiler

Compiled 154 to 85 computations (44.8% saved)

end61.0ms (0.3%)

Compiler: Compiled 162 to 88 computations (45.7% saved)