Details

analyze1.6s (6.3%)

Algorithm

1×

Search

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

Compiler

Compiled 62 to 45 computations (27.4% saved)

sample8.3s (32.4%)

Results

6.1s	8256×	body	256	valid
2.1s	2023×	body	256	precondition

Bogosity

preprocess77.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2
3

Outputs
0
1
2
3

Call 2

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

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

Compiler

Compiled 33 to 24 computations (27.3% saved)

simplify79.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(+.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))
▶	4.0b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
▶	6.6b	(.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

▶

0.7b

(+.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))

▶

4.0b

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

▶

6.6b

(*.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)

localize75.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.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)
✓	6.5b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

Compiler

Compiled 85 to 40 computations (52.9% saved)

series19.0ms (0.1%)

Counts

4 → 90

Calls

39 calls:

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

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	142
1	140	136
2	296	136
3	656	136
4	1438	136
5	4149	136

Stop Event

1×	node limit

Counts

4 → 141

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (/.f32 1/2 (sin.f32 normAngle))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 1 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) (sin.f32 normAngle)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (/.f32 (sin.f32 normAngle) (.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1/2)))))) (#(struct:change 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simplify173.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1700×	`rational.json-simplify-35`
1294×	`rational.json-simplify-2`
738×	`rational.json-simplify-41`
592×	`rational.json-simplify-39`
538×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	458	11999
1	1219	11665
2	3384	11581
3	6633	11429

Stop Event

1×	node limit

Counts

231 → 261

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

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

localize85.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.3b	(*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)
✓	0.3b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))
✓	10.5b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))

Compiler

Compiled 97 to 46 computations (52.6% saved)

series14.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

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

rewrite95.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	89
1	144	71
2	327	71
3	746	71
4	1734	71
5	5407	71

Stop Event

1×	node limit

Counts

3 → 180

Calls

Call 1

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

Inputs

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

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

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

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

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

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

simplify152.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1582×	`rational.json-simplify-35`
974×	`rational.json-simplify-1`
732×	`rational.json-simplify-51`
678×	`rational.json-simplify-49`
602×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	530	8504
1	1689	8290
2	5029	8192
3	7303	8192

Stop Event

1×	node limit

Counts

276 → 266

Calls

Call 1

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

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

localize238.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
	0.2b	(*.f32 (-.f32 1 u) normAngle)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	0.9b	(.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	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
1.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
0.0ms	u	@	inf	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
0.0ms	normAngle	@	-inf	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
0.0ms	u	@	-inf	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))

rewrite86.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 143

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify233.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

227 → 246

Calls

Call 1

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

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

eval692.0ms (2.7%)

Compiler: Compiled 31286 to 17163 computations (45.1% saved)

prune213.0ms (0.8%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	855	18	873
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	858	18	876

Error

0.0b

Counts

876 → 18

Alt Table

Click to see full alt table

Status	Error	Program
	6.5b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	16.2b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
▶	6.6b	(/.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
	3.9b	(+.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i)) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
▶	4.1b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
▶	0.7b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (/.f32 (sin.f32 (.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i)))
	0.9b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
▶	1.0b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	8.9b	(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	6.2b	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
	1.4b	(+.f32 n0_i (.f32 u (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (.f32 -1 (.f32 (*.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
	1.4b	(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (.f32 n0_i normAngle) (neg.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
	7.6b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	11.0b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
	7.6b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))
	19.9b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	13.6b	(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
	17.4b	n0_i

Compiler

Compiled 697 to 476 computations (31.7% saved)

localize80.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(*.f32 (-.f32 1 u) normAngle)
	0.3b	(*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)
	0.3b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))
✓	0.9b	(/.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i))

Compiler

Compiled 91 to 41 computations (54.9% saved)

series1.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite87.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	83	27
2	244	27
3	738	27
4	2531	27
5	6421	27

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify128.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1510×	`rational.json-simplify-35`
1192×	`rational.json-simplify-49`
1046×	`rational.json-simplify-2`
790×	`rational.json-simplify-41`
790×	`rational.json-simplify-55`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	3021
1	395	2955
2	818	2913
3	2223	2859
4	5586	2859
5	7461	2859

Stop Event

1×	node limit

Counts

83 → 87

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

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

localize32.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f32 n1_i u)
✓	0.1b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
✓	0.2b	(*.f32 (-.f32 1 u) n0_i)

Compiler

Compiled 28 to 15 computations (46.4% saved)

series4.0ms (0%)

Counts

3 → 30

Calls

21 calls:

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

rewrite237.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify428.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

76 → 74

Calls

Call 1

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

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

localize115.0ms (0.4%)

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)
✓	8.9b	(/.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))

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1206×	`rational.json-1`
1206×	`rational.json-2`
1206×	`rational.json-4`
1206×	`rational.json-3`
1198×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	100	50
2	250	50
3	638	50
4	1830	50
5	4367	50

Stop Event

1×	node limit

Counts

2 → 106

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

simplify145.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1248×	`rational.json-simplify-35`
928×	`rational.json-simplify-61`
920×	`exponential.json-simplify-26`
834×	`rational.json-simplify-43`
710×	`rational.json-simplify-46`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	300	5442
1	742	5162
2	1827	5110
3	3838	4658
4	6988	4658

Stop Event

1×	node limit

Counts

130 → 174

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

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

localize132.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	0.1b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
	0.2b	(*.f32 (-.f32 1 u) n0_i)
	10.5b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))

Compiler

Compiled 64 to 26 computations (59.4% saved)

series4.0ms (0%)

Counts

2 → 56

Calls

21 calls:

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

rewrite104.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1394×	`rational.json-1`
1394×	`rational.json-2`
1394×	`rational.json-4`
1394×	`rational.json-3`
1386×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	68
1	127	62
2	279	62
3	619	62
4	1385	62
5	4480	62

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

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

Outputs

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

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

simplify171.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1786×	`rational.json-simplify-35`
870×	`rational.json-simplify-53`
836×	`rational.json-simplify-2`
810×	`rational.json-simplify-1`
738×	`rational.json-simplify-61`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	150	3907
1	363	3807
2	773	3741
3	1631	3723
4	3396	3723
5	4550	3723
6	5687	3723
7	6895	3723

Stop Event

1×	node limit

Counts

85 → 102

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

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

localize75.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i)
✓	0.2b	(*.f32 normAngle (-.f32 1 u))
✓	0.2b	(/.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
✓	6.4b	(/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))

Compiler

Compiled 99 to 45 computations (54.5% saved)

series67.0ms (0.3%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
48.0ms	normAngle	@	-inf	(/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))
6.0ms	u	@	inf	(/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))
3.0ms	normAngle	@	0	(/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))
1.0ms	u	@	0	(/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))
1.0ms	n0_i	@	0	(/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))

rewrite107.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1568×	`rational.json-1`
1568×	`rational.json-2`
1568×	`rational.json-4`
1568×	`rational.json-3`
1560×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	146
1	143	146
2	329	146
3	808	146
4	2005	146
5	5168	146

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (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 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 2) (/.f32 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 (sin.f32 normAngle) (neg.f32 (+.f32 (.f32 (sin.f32 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simplify944.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1290×	`rational.json-simplify-35`
1158×	`rational.json-simplify-43`
1056×	`rational.json-simplify-61`
1022×	`rational.json-simplify-49`
1012×	`rational.json-simplify-44`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	486	18203
1	1254	17775
2	2883	17593

Stop Event

1×	node limit

Counts

263 → 271

Calls

Call 1

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

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

eval610.0ms (2.4%)

Compiler: Compiled 36559 to 19647 computations (46.3% saved)

prune279.0ms (1.1%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	1132	12	1144
Fresh	7	6	13
Picked	1	0	1
Done	2	2	4
Total	1142	20	1162

Error

0.0b

Counts

1162 → 20

Alt Table

Click to see full alt table

Status	Error	Program
	6.5b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	17.1b	(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))
	16.2b	(/.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (sin.f32 normAngle))
✓	16.2b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	7.6b	(/.f32 1 (/.f32 (sin.f32 normAngle) (+.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
▶	1.1b	(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
	1.0b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	2.6b	(+.f32 (.f32 (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (*.f32 -1 n0_i)) u) n0_i)
▶	0.9b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
✓	1.0b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	6.4b	(+.f32 (*.f32 n1_i u) n0_i)
▶	0.5b	(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u))
	1.4b	(+.f32 n0_i (.f32 u (+.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (.f32 n0_i normAngle) (neg.f32 (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))))
	0.9b	(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
	13.6b	(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
▶	7.6b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))
	13.8b	(*.f32 (-.f32 1 u) n0_i)
	19.9b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
▶	20.2b	(*.f32 u n1_i)
	17.4b	n0_i

Compiler

Compiled 585 to 404 computations (30.9% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 n1_i (sin.f32 normAngle))
✓	0.1b	(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u))
✓	0.1b	(.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)
✓	0.2b	(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))

Compiler

Compiled 55 to 11 computations (80% saved)

series10.0ms (0%)

Counts

4 → 124

Calls

36 calls:

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

rewrite162.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

840×	`rational.json-simplify-1`
756×	`rational.json-simplify-49`
726×	`rational.json-simplify-44`
650×	`rational.json-simplify-47`
632×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	101	100
2	237	100
3	553	100
4	1397	100
5	5621	100
6	7846	100

Stop Event

1×	node limit

Counts

4 → 221

Calls

Call 1

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

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

simplify129.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1708×	`rational.json-simplify-35`
976×	`rational.json-simplify-51`
780×	`rational.json-simplify-44`
730×	`rational.json-simplify-49`
728×	`rational.json-simplify-61`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	545	9603
1	1823	9263
2	6092	9151

Stop Event

1×	node limit

Counts

345 → 355

Calls

Call 1

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

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite208.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f32 u n1_i)

Outputs

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

simplify505.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

39 → 16

Calls

Call 1

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

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

localize68.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 52 to 29 computations (44.2% saved)

series5.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite112.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2196×	`rational.json-1`
2196×	`rational.json-2`
1270×	`rational.json-simplify-35`
746×	`rational.json-simplify-54`
686×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	56
1	92	56
2	212	56
3	497	56
4	1757	56
5	6629	56

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

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

simplify117.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1384×	`rational.json-simplify-2`
1372×	`rational.json-simplify-35`
1270×	`rational.json-simplify-51`
628×	`rational.json-simplify-39`
620×	`rational.json-simplify-1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	233	5746
1	581	5598
2	1935	5598
3	4309	5598

Stop Event

1×	node limit

Counts

142 → 150

Calls

Call 1

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

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

localize82.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
✓	0.1b	(.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i)) normAngle)
	0.2b	(*.f32 (-.f32 1 u) n0_i)
✓	6.5b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))

Compiler

Compiled 62 to 31 computations (50% saved)

series49.0ms (0.2%)

Counts

2 → 84

Calls

24 calls:

Time	Variable		Point	Expression
42.0ms	normAngle	@	inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))
1.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))
1.0ms	normAngle	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))
0.0ms	u	@	-inf	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))
0.0ms	u	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) normAngle))

rewrite77.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1288×	`rational.json-1`
1288×	`rational.json-2`
1288×	`rational.json-4`
1288×	`rational.json-3`
1280×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	78
1	119	72
2	258	72
3	563	72
4	1258	72
5	4111	72

Stop Event

1×	node limit

Counts

2 → 81

Calls

Call 1

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

Outputs

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

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

simplify149.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1796×	`rational.json-simplify-35`
1132×	`rational.json-simplify-46`
918×	`rational.json-simplify-2`
900×	`rational.json-simplify-50`
812×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	247	7297
1	809	7123
2	2474	7019
3	5933	7013

Stop Event

1×	node limit

Counts

165 → 162

Calls

Call 1

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

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

localize119.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 68 to 38 computations (44.1% saved)

series5.0ms (0%)

Counts

1 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	n0_i	@	0	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
0.0ms	normAngle	@	0	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
0.0ms	n1_i	@	0	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
0.0ms	u	@	0	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
0.0ms	normAngle	@	inf	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1344×	`rational.json-1`
1344×	`rational.json-2`
1344×	`rational.json-4`
1344×	`rational.json-3`
1336×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	51
1	127	45
2	279	45
3	617	45
4	1375	45
5	4351	45

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify162.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1448×	`rational.json-simplify-35`
1198×	`rational.json-simplify-2`
960×	`rational.json-simplify-41`
952×	`rational.json-simplify-51`
820×	`rational.json-simplify-53`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	123	3327
1	277	3261
2	570	3219
3	1119	3195
4	2408	3189
5	4274	3189
6	4794	3189
7	5607	3189
8	7884	3189

Stop Event

1×	node limit

Counts

63 → 66

Calls

Call 1

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

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

eval491.0ms (1.9%)

Compiler: Compiled 25483 to 13968 computations (45.2% saved)

prune529.0ms (2.1%)

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	1066	23	1089
Fresh	5	8	13
Picked	1	0	1
Done	3	3	6
Total	1075	34	1109

Error

0.0b

Counts

1109 → 34

Alt Table

Click to see full alt table

Status	Error	Program
	6.5b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	1.3b	(/.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))
	16.2b	(/.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (sin.f32 normAngle))
✓	16.2b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	20.9b	(/.f32 1 (/.f32 (/.f32 1 u) (+.f32 n1_i (neg.f32 n0_i))))
	6.4b	(/.f32 1 (/.f32 1 (+.f32 (*.f32 n1_i u) n0_i)))
▶	17.7b	(/.f32 1 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)))
	7.6b	(/.f32 -1 (/.f32 (sin.f32 normAngle) (.f32 normAngle (neg.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))))
	0.9b	(+.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i)) (.f32 n1_i u))
	0.9b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
▶	1.0b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	1.2b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (+.f32 (/.f32 n0_i normAngle) (.f32 normAngle (.f32 1/6 n0_i)))) (*.f32 n1_i u))
✓	1.0b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	6.4b	(+.f32 (*.f32 n1_i u) n0_i)
	0.5b	(+.f32 n0_i (*.f32 (+.f32 (/.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 1 n1_i)) (neg.f32 n0_i)) u))
▶	0.5b	(+.f32 n0_i (*.f32 (+.f32 (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (neg.f32 n0_i)) u))
	0.5b	(+.f32 n0_i (*.f32 (+.f32 (/.f32 -1 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) normAngle)) (neg.f32 n0_i)) u))
	1.0b	(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i normAngle)) (neg.f32 n0_i)) u))
	0.7b	(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 1/6 normAngle)))) (neg.f32 n0_i)) u))
	13.7b	(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
▶	23.8b	(+.f32 -1 (-.f32 1 (neg.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))
	13.6b	(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
	9.9b	(.f32 (/.f32 2 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (/.f32 1 (/.f32 2 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))
	8.7b	(.f32 (/.f32 1 (+.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 n1_i u) (.f32 (-.f32 1 u) n0_i))))
	7.7b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 n0_i normAngle) (.f32 u (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))))))
	28.3b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 -1 (-.f32 1 (.f32 normAngle (neg.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))
	7.6b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) normAngle))
	14.4b	(.f32 (-.f32 1 u) (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))))
▶	13.8b	(*.f32 (-.f32 1 u) n0_i)
	20.0b	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
	20.9b	(.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
	19.9b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓	20.2b	(*.f32 u n1_i)
	17.4b	n0_i

Compiler

Compiled 1124 to 773 computations (31.2% saved)

localize116.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 11 computations (80% saved)

series5.0ms (0%)

Counts

4 → 124

Calls

36 calls:

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

rewrite101.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

2002×	`rational.json-1`
2002×	`rational.json-2`
2002×	`rational.json-3`
1536×	`rational.json-simplify-35`
916×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	100
1	105	100
2	283	100
3	808	100
4	2690	100
5	6880	100

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

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

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

simplify182.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1150×	`rational.json-simplify-53`
1048×	`rational.json-simplify-51`
684×	`rational.json-simplify-41`
636×	`rational.json-simplify-2`
624×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	283	6851
1	621	6655
2	1353	6577
3	3590	5625
4	5855	5625
5	7581	5625

Stop Event

1×	node limit

Counts

225 → 204

Calls

Call 1

Inputs
(*.f32 (-.f32 n1_i n0_i) u)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (.f32 u (pow.f32 normAngle 4)))) (.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2))))))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i))) (.f32 u (pow.f32 normAngle 6)))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (.f32 u (pow.f32 normAngle 4)))) (.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 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(.f32 -1 (.f32 n0_i u))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 n0_i u)))
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
n1_i
(+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (pow.f32 normAngle 4))) (+.f32 n1_i (.f32 1/6 (.f32 n1_i (pow.f32 normAngle 2)))))
(+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (pow.f32 normAngle 4))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i))) (pow.f32 normAngle 6))) (+.f32 n1_i (.f32 1/6 (*.f32 n1_i (pow.f32 normAngle 2))))))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/.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 (.f32 -1 u)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(.f32 (+.f32 1 (.f32 -1 u)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 (+.f32 1 (.f32 -1 u)) n0_i))
(.f32 -1 (.f32 (-.f32 u 1) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 (-.f32 u 1) n0_i)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 (-.f32 u 1) n0_i)))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 -1 (.f32 (-.f32 u 1) n0_i)))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 1/6 (.f32 n1_i (.f32 u (pow.f32 normAngle 2)))) n0_i))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (.f32 u (pow.f32 normAngle 4)))) (+.f32 (.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2)))) n0_i)))
(+.f32 (.f32 (-.f32 n1_i n0_i) u) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/6 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i))) (+.f32 (.f32 -1/5040 n1_i) (.f32 1/720 n1_i))) (.f32 u (pow.f32 normAngle 6)))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/120 n1_i) (.f32 -1/36 n1_i)) (.f32 u (pow.f32 normAngle 4)))) (+.f32 (.f32 1/6 (.f32 n1_i (*.f32 u (pow.f32 normAngle 2)))) n0_i))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) 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 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (.f32 -1 (.f32 u n0_i)) n0_i)
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) 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 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) 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 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (+.f32 (.f32 -1 (.f32 u n0_i)) n0_i))
n0_i
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
(/.f32 normAngle n1_i)
(+.f32 (*.f32 -1/6 (/.f32 (pow.f32 normAngle 3) n1_i)) (/.f32 normAngle n1_i))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 3) n1_i)) (+.f32 (/.f32 normAngle n1_i) (.f32 1/120 (/.f32 (pow.f32 normAngle 5) n1_i))))
(+.f32 (.f32 -1/6 (/.f32 (pow.f32 normAngle 3) n1_i)) (+.f32 (.f32 -1/5040 (/.f32 (pow.f32 normAngle 7) n1_i)) (+.f32 (/.f32 normAngle n1_i) (*.f32 1/120 (/.f32 (pow.f32 normAngle 5) n1_i)))))
(+.f32 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u) 0)
(+.f32 0 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u))
(-.f32 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u) 0)
(/.f32 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u) 1)
(/.f32 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) (+.f32 u u)) 2)
(/.f32 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) (*.f32 u 4)) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) (.f32 u 4))) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) (.f32 u 4))) (.f32 2 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) (.f32 u 4)))) 16)
(pow.f32 (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u) 1)
(+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) 0)
(+.f32 0 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(-.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) 0)
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) 1)
(.f32 1 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 -1 (/.f32 normAngle (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))
(*.f32 (+.f32 n1_i n1_i) (/.f32 (/.f32 normAngle 2) (sin.f32 normAngle)))
(*.f32 (+.f32 normAngle normAngle) (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2))
(.f32 (+.f32 normAngle normAngle) (.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/2))
(.f32 (+.f32 normAngle normAngle) (.f32 (/.f32 -1 (*.f32 (sin.f32 normAngle) -2)) n1_i))
(.f32 2 (/.f32 normAngle (.f32 (sin.f32 normAngle) (/.f32 2 n1_i))))
(*.f32 2 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (/.f32 normAngle 2))))
(.f32 2 (/.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) 2))
(.f32 2 (.f32 (/.f32 (/.f32 normAngle 2) (sin.f32 normAngle)) n1_i))
(.f32 2 (.f32 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2) normAngle))
(.f32 (.f32 normAngle (/.f32 (+.f32 n1_i n1_i) (sin.f32 normAngle))) 1/2)
(.f32 (.f32 normAngle 4) (/.f32 1 (*.f32 (/.f32 (sin.f32 normAngle) n1_i) 4)))
(.f32 (.f32 n1_i 4) (/.f32 1 (*.f32 (/.f32 (sin.f32 normAngle) normAngle) 4)))
(*.f32 (neg.f32 normAngle) (/.f32 -1 (/.f32 (sin.f32 normAngle) n1_i)))
(*.f32 (neg.f32 n1_i) (/.f32 -1 (/.f32 (sin.f32 normAngle) normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle)
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 2 (/.f32 2 normAngle)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 1 (/.f32 1 n1_i)))
(*.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 n1_i (/.f32 1 normAngle)))
(*.f32 (/.f32 1 (sin.f32 normAngle)) (/.f32 normAngle (/.f32 1 n1_i)))
(*.f32 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2) (+.f32 normAngle normAngle))
(.f32 1/2 (.f32 normAngle (/.f32 (+.f32 n1_i n1_i) (sin.f32 normAngle))))
(*.f32 (/.f32 (/.f32 normAngle 2) (sin.f32 normAngle)) (+.f32 n1_i n1_i))
(.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) 1/2) (+.f32 normAngle normAngle))
(*.f32 (/.f32 normAngle (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))) -1)
(*.f32 (/.f32 n1_i (/.f32 1 normAngle)) (/.f32 1 (sin.f32 normAngle)))
(*.f32 (/.f32 2 (/.f32 2 normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (/.f32 1 n1_i)) (/.f32 1 (sin.f32 normAngle)))
(*.f32 (/.f32 1 (/.f32 1 n1_i)) (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 normAngle (.f32 (sin.f32 normAngle) (/.f32 2 n1_i))) 2)
(*.f32 (/.f32 n1_i (/.f32 (sin.f32 normAngle) (/.f32 normAngle 2))) 2)
(.f32 (/.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) 2) 2)
(.f32 (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4)) (*.f32 normAngle 4))
(.f32 (/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) normAngle) 4)) (*.f32 n1_i 4))
(*.f32 (/.f32 -1 (/.f32 (sin.f32 normAngle) n1_i)) (neg.f32 normAngle))
(*.f32 (/.f32 -1 (/.f32 (sin.f32 normAngle) normAngle)) (neg.f32 n1_i))
(*.f32 (+.f32 (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2) (/.f32 (/.f32 n1_i (sin.f32 normAngle)) 2)) normAngle)
(pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) 1)
(neg.f32 (/.f32 normAngle (/.f32 (sin.f32 normAngle) (neg.f32 n1_i))))
(-.f32 (+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 0)
(.f32 (+.f32 n0_i (.f32 (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 1)
(.f32 1 (+.f32 n0_i (.f32 (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)))
(.f32 2 (/.f32 (+.f32 n0_i (.f32 (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 2))
(.f32 (.f32 (+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 2) 1/2)
(.f32 1/2 (.f32 (+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 2))
(.f32 (/.f32 (+.f32 n0_i (.f32 (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 2) 2)
(/.f32 (+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 1)
(/.f32 (.f32 (+.f32 n0_i (.f32 (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 2) 2)
(/.f32 (.f32 (+.f32 n0_i (.f32 (+.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 4)) 8)
(/.f32 (+.f32 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 4)) (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 4))) 16)
(pow.f32 (+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)) 1)
(+.f32 (/.f32 (sin.f32 normAngle) n1_i) 0)
(+.f32 0 (/.f32 (sin.f32 normAngle) n1_i))
(-.f32 (/.f32 (sin.f32 normAngle) n1_i) 0)
(-.f32 0 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(*.f32 (sin.f32 normAngle) (/.f32 1 n1_i))
(*.f32 (/.f32 (sin.f32 normAngle) n1_i) 1)
(*.f32 1 (/.f32 (sin.f32 normAngle) n1_i))
(*.f32 -1 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))
(.f32 (.f32 (sin.f32 normAngle) 2) (/.f32 1/2 n1_i))
(.f32 (.f32 (sin.f32 normAngle) 2) (*.f32 (/.f32 1 n1_i) 1/2))
(.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n1_i)) 1/2)
(*.f32 2 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)))
(*.f32 2 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) 2))
(.f32 2 (.f32 (/.f32 1/2 n1_i) (sin.f32 normAngle)))
(.f32 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4) 1/4)
(.f32 (.f32 (sin.f32 normAngle) 4) (/.f32 1 (*.f32 n1_i 4)))
(*.f32 (/.f32 1 n1_i) (sin.f32 normAngle))
(*.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) -1)
(*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 -1 n1_i))
(.f32 (.f32 2 (/.f32 1 n1_i)) (/.f32 (sin.f32 normAngle) 2))
(.f32 1/2 (.f32 (sin.f32 normAngle) (/.f32 2 n1_i)))
(.f32 (/.f32 1/2 n1_i) (.f32 (sin.f32 normAngle) 2))
(.f32 (.f32 (/.f32 1 n1_i) 1/2) (*.f32 (sin.f32 normAngle) 2))
(*.f32 (/.f32 (sin.f32 normAngle) (+.f32 n1_i n1_i)) 2)
(.f32 (/.f32 (sin.f32 normAngle) 2) (.f32 2 (/.f32 1 n1_i)))
(.f32 1/4 (.f32 (/.f32 (sin.f32 normAngle) n1_i) 4))
(*.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) 2) 2)
(.f32 (/.f32 1 (.f32 n1_i 4)) (*.f32 (sin.f32 normAngle) 4))
(*.f32 (/.f32 -1 n1_i) (neg.f32 (sin.f32 normAngle)))
(*.f32 (+.f32 (/.f32 1/2 n1_i) (/.f32 1/2 n1_i)) (sin.f32 normAngle))
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) 1)
(neg.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)))

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 1 (neg.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
	0.1b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	0.2b	(*.f32 (-.f32 1 u) n0_i)
✓	23.7b	(+.f32 -1 (-.f32 1 (neg.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))

Compiler

Compiled 65 to 37 computations (43.1% saved)

series2.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite114.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1580×	`rational.json-1`
1580×	`rational.json-2`
1580×	`rational.json-3`
1270×	`rational.json-simplify-35`
980×	`exponential.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	76
1	109	68
2	219	66
3	450	56
4	914	56
5	2293	56
6	5023	56
7	7176	56

Stop Event

1×	node limit

Counts

2 → 110

Calls

Call 1

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

Outputs

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

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

simplify337.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1814×	`rational.json-simplify-35`
1726×	`rational.json-simplify-1`
1722×	`rational.json-simplify-52`
1034×	`rational.json-simplify-2`
892×	`rational.json-simplify-26`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	227	4994
1	483	4934
2	1321	4934
3	3777	4922
4	5461	4922
5	6091	4922
6	6461	4922
7	6775	4922
8	6797	4922
9	6810	4922
10	7900	4922

Stop Event

1×	node limit

Counts

182 → 151

Calls

Call 1

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

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

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f32 n1_i (sin.f32 normAngle))
✓	0.1b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
	0.2b	(*.f32 (-.f32 1 u) n0_i)
✓	0.9b	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))

Compiler

Compiled 48 to 18 computations (62.5% saved)

series6.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite755.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

868×	`rational.json-simplify-53`
750×	`rational.json-simplify-44`
698×	`rational.json-simplify-1`
674×	`rational.json-simplify-47`
668×	`rational.json-simplify-61`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	64
1	110	64
2	245	64
3	568	64
4	1414	64
5	5265	64

Stop Event

1×	node limit

Counts

2 → 166

Calls

Call 1

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

Outputs

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

simplify229.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1866×	`rational.json-simplify-35`
1008×	`rational.json-simplify-61`
902×	`rational.json-simplify-49`
868×	`rational.json-simplify-44`
706×	`rational.json-simplify-47`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	447	7622
1	1734	7318
2	6647	7310

Stop Event

1×	node limit

Counts

250 → 228

Calls

Call 1

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

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

localize136.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))
✓	1.3b	(/.f32 1 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)))
✓	1.6b	(*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)
✓	5.7b	(/.f32 n1_i (pow.f32 n0_i 2))

Compiler

Compiled 72 to 48 computations (33.3% saved)

series79.0ms (0.3%)

Counts

4 → 87

Calls

33 calls:

Time	Variable		Point	Expression
68.0ms	u	@	inf	(/.f32 1 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)))
1.0ms	u	@	0	(*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)
1.0ms	n0_i	@	0	(/.f32 1 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)))
1.0ms	n1_i	@	0	(/.f32 n1_i (pow.f32 n0_i 2))
1.0ms	n1_i	@	inf	(/.f32 n1_i (pow.f32 n0_i 2))

rewrite232.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1958×	`rational.json-1`
1958×	`rational.json-2`
1958×	`rational.json-4`
1958×	`rational.json-3`
692×	`rational.json-simplify-49`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	136
1	105	136
2	248	136
3	579	136
4	1437	136
5	5436	136

Stop Event

1×	node limit

Counts

4 → 105

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 n1_i (pow.f32 n0_i 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 n1_i (pow.f32 n0_i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 n1_i (/.f32 1/2 (pow.f32 n0_i 2))) (.f32 n1_i (/.f32 1/2 (pow.f32 n0_i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 n1_i (pow.f32 n0_i 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n1_i (/.f32 1 (pow.f32 n0_i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n1_i (.f32 (.f32 2 (/.f32 1 (pow.f32 n0_i 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 n1_i (.f32 (/.f32 2 (pow.f32 n0_i 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 n1_i (/.f32 1/2 (pow.f32 n0_i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 n0_i 2) (/.f32 (/.f32 1 n1_i) (.f32 (pow.f32 n0_i 2) (/.f32 (/.f32 (pow.f32 n0_i 2) n1_i) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (pow.f32 n0_i 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 n1_i (pow.f32 n0_i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 n1_i n1_i) (/.f32 1/2 (pow.f32 n0_i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 n1_i (.f32 (pow.f32 n0_i 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (/.f32 n1_i (pow.f32 n0_i 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 n1_i (pow.f32 n0_i 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i 4) (/.f32 (/.f32 1 (pow.f32 n0_i 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i 4) (.f32 (/.f32 (/.f32 1 (pow.f32 n0_i 2)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i 4) (.f32 1/4 (/.f32 1 (pow.f32 n0_i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i 4) (.f32 1/2 (/.f32 1/2 (pow.f32 n0_i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 n0_i 2)) n1_i)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (pow.f32 n0_i 2)) (/.f32 1 (/.f32 1 n1_i)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 n1_i (neg.f32 (pow.f32 n0_i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (+.f32 n1_i n1_i) (neg.f32 (.f32 2 (pow.f32 n0_i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 n1_i) (/.f32 -1 (pow.f32 n0_i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 n1_i) (.f32 (/.f32 -1 (pow.f32 n0_i 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 n0_i 2) n1_i) (/.f32 1 (.f32 (pow.f32 n0_i 2) (/.f32 (/.f32 (pow.f32 n0_i 2) n1_i) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 n0_i 2) n1_i) (/.f32 2 (.f32 (/.f32 (pow.f32 n0_i 2) n1_i) (.f32 (pow.f32 n0_i 2) (/.f32 2 n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 n0_i 2) (/.f32 2 n1_i)) (/.f32 1 (.f32 (/.f32 (pow.f32 n0_i 2) n1_i) (.f32 (pow.f32 n0_i 2) (/.f32 2 n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 n0_i 2) (/.f32 2 n1_i)) (/.f32 1/2 (.f32 (pow.f32 n0_i 2) (/.f32 (/.f32 (pow.f32 n0_i 2) n1_i) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 n1_i (pow.f32 n0_i 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i 8) (/.f32 1 (.f32 (pow.f32 n0_i 2) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (pow.f32 n0_i 2)) (+.f32 n1_i n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (/.f32 n1_i (pow.f32 n0_i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 n1_i) (/.f32 (pow.f32 n0_i 2) (.f32 (pow.f32 n0_i 2) (/.f32 (/.f32 (pow.f32 n0_i 2) n1_i) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 n1_i) (/.f32 (.f32 2 (pow.f32 n0_i 2)) (.f32 (/.f32 (pow.f32 n0_i 2) n1_i) (.f32 (pow.f32 n0_i 2) (/.f32 2 n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i -2) (/.f32 1/2 (neg.f32 (pow.f32 n0_i 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i -2) (/.f32 1 (.f32 (pow.f32 n0_i 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i -2) (/.f32 1 (neg.f32 (.f32 2 (pow.f32 n0_i 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 1 (pow.f32 n0_i 2))) (.f32 n1_i 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 n1_i (neg.f32 (pow.f32 n0_i 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 n0_i 2) (/.f32 1/2 n1_i)) (/.f32 2 (.f32 (pow.f32 n0_i 2) (/.f32 (/.f32 (pow.f32 n0_i 2) n1_i) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 n1_i) (/.f32 (.f32 2 (pow.f32 n0_i 2)) (.f32 (pow.f32 n0_i 2) (/.f32 (/.f32 (pow.f32 n0_i 2) n1_i) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (pow.f32 n0_i 2)) (.f32 n1_i 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i (/.f32 1/2 (pow.f32 n0_i 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (/.f32 n1_i (pow.f32 n0_i 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 n1_i) (/.f32 (pow.f32 n0_i 2) (.f32 (/.f32 (pow.f32 n0_i 2) n1_i) (.f32 (pow.f32 n0_i 2) (/.f32 2 n1_i)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 n1_i) (/.f32 (neg.f32 (pow.f32 n0_i 2)) (.f32 (pow.f32 n0_i 2) (/.f32 (/.f32 (pow.f32 n0_i 2) n1_i) n1_i))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 n1_i 1/2) (/.f32 2 (pow.f32 n0_i 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 1 (pow.f32 n0_i 2)) 4) (.f32 n1_i 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (pow.f32 n0_i 2)) (neg.f32 n1_i))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 n1_i (pow.f32 n0_i 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 n1_i (neg.f32 (pow.f32 n0_i 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (+.f32 u u)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (.f32 u 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (.f32 u 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (.f32 u 4))) (.f32 2 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (.f32 u 4)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u) 1)))))
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simplify139.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1784×	`rational.json-simplify-51`
1692×	`rational.json-simplify-35`
1184×	`rational.json-simplify-2`
1056×	`rational.json-simplify-61`
710×	`rational.json-simplify-53`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	361	10444
1	920	10044
2	2517	9666
3	5555	9564

Stop Event

1×	node limit

Counts

192 → 289

Calls

Call 1

Inputs
(.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2)))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(/.f32 u n0_i)
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(/.f32 u n0_i)
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(/.f32 u n0_i)
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2)))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2)))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(+.f32 (.f32 -1 (/.f32 (.f32 n1_i u) (pow.f32 n0_i 2))) (/.f32 u n0_i))
(.f32 -1 (/.f32 (pow.f32 n0_i 2) (.f32 n1_i u)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 n0_i 2) (.f32 n1_i u))) (.f32 -1 (.f32 (pow.f32 n0_i 3) (+.f32 (/.f32 1 (.f32 (pow.f32 n1_i 2) u)) (/.f32 1 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)))))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 n0_i 2) (.f32 n1_i u))) (+.f32 (.f32 -1 (.f32 (pow.f32 n0_i 3) (+.f32 (/.f32 1 (.f32 (pow.f32 n1_i 2) u)) (/.f32 1 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)))))) (.f32 -1 (/.f32 (.f32 (+.f32 1 u) (.f32 (pow.f32 n0_i 4) (+.f32 (/.f32 1 (.f32 (pow.f32 n1_i 2) u)) (/.f32 1 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)))))) (.f32 n1_i u)))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 n0_i 2) (.f32 n1_i u))) (+.f32 (.f32 -1 (.f32 (pow.f32 n0_i 3) (+.f32 (/.f32 1 (.f32 (pow.f32 n1_i 2) u)) (/.f32 1 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)))))) (+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 1 u) (.f32 (pow.f32 n0_i 4) (+.f32 (/.f32 1 (.f32 (pow.f32 n1_i 2) u)) (/.f32 1 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)))))) (.f32 n1_i u))) (.f32 -1 (/.f32 (.f32 (pow.f32 (+.f32 1 u) 2) (.f32 (pow.f32 n0_i 5) (+.f32 (/.f32 1 (.f32 (pow.f32 n1_i 2) u)) (/.f32 1 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)))))) (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)))))))
(/.f32 n0_i (+.f32 1 u))
(+.f32 (/.f32 n0_i (+.f32 1 u)) (/.f32 (*.f32 n1_i u) (pow.f32 (+.f32 1 u) 2)))
(+.f32 (/.f32 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)) (.f32 (pow.f32 (+.f32 1 u) 3) n0_i)) (+.f32 (/.f32 n0_i (+.f32 1 u)) (/.f32 (*.f32 n1_i u) (pow.f32 (+.f32 1 u) 2))))
(+.f32 (/.f32 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)) (.f32 (pow.f32 (+.f32 1 u) 3) n0_i)) (+.f32 (/.f32 (.f32 (pow.f32 n1_i 3) (pow.f32 u 3)) (.f32 (pow.f32 (+.f32 1 u) 4) (pow.f32 n0_i 2))) (+.f32 (/.f32 n0_i (+.f32 1 u)) (/.f32 (*.f32 n1_i u) (pow.f32 (+.f32 1 u) 2)))))
(.f32 -1 (/.f32 n0_i (-.f32 (.f32 -1 u) 1)))
(+.f32 (.f32 -1 (/.f32 n0_i (-.f32 (.f32 -1 u) 1))) (/.f32 (.f32 n1_i u) (pow.f32 (-.f32 (.f32 -1 u) 1) 2)))
(+.f32 (.f32 -1 (/.f32 n0_i (-.f32 (.f32 -1 u) 1))) (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)) (.f32 (pow.f32 (-.f32 (.f32 -1 u) 1) 3) n0_i))) (/.f32 (.f32 n1_i u) (pow.f32 (-.f32 (.f32 -1 u) 1) 2))))
(+.f32 (.f32 -1 (/.f32 n0_i (-.f32 (.f32 -1 u) 1))) (+.f32 (/.f32 (.f32 (pow.f32 n1_i 3) (pow.f32 u 3)) (.f32 (pow.f32 (-.f32 (.f32 -1 u) 1) 4) (pow.f32 n0_i 2))) (+.f32 (.f32 -1 (/.f32 (.f32 (pow.f32 n1_i 2) (pow.f32 u 2)) (.f32 (pow.f32 (-.f32 (.f32 -1 u) 1) 3) n0_i))) (/.f32 (.f32 n1_i u) (pow.f32 (-.f32 (*.f32 -1 u) 1) 2)))))
(/.f32 1 (+.f32 (/.f32 1 n0_i) (/.f32 u n0_i)))
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(.f32 (+.f32 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (+.f32 u u)) (/.f32 2 n0_i)) (/.f32 1 (.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 u u)) (/.f32 2 n0_i)))))
(.f32 (+.f32 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (+.f32 u u)) (/.f32 2 n0_i)) (/.f32 1/2 (.f32 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)))))
(.f32 4 (/.f32 (/.f32 1 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))) 4))
(.f32 (/.f32 2 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))) 1/2)
(.f32 (.f32 2 (/.f32 2 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)))) 1/4)
(.f32 1/2 (/.f32 2 (+.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 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 1/2) (/.f32 (/.f32 2 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))) (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))))
(.f32 1/4 (.f32 2 (/.f32 2 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)))))
(.f32 (/.f32 (/.f32 2 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))) (+.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)) 1/2))
(.f32 (/.f32 1 (.f32 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)))) (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)))
(.f32 (/.f32 1/2 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))) 2)
(pow.f32 (/.f32 1 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))) 1)
(-.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 0)
(-.f32 0 (neg.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))))
(.f32 2 (.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 1/2))
(.f32 1 (+.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)) 1)
(.f32 (+.f32 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (+.f32 u u)) (/.f32 2 n0_i)) 1/2)
(.f32 4 (/.f32 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 4))
(.f32 (.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 4) 1/4)
(.f32 -1 (neg.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 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))) -1)
(.f32 (.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 8) 1/8)
(.f32 1/2 (+.f32 (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (+.f32 u u)) (/.f32 2 n0_i)))
(.f32 (.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 1/2) 2)
(.f32 1/4 (.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 4))
(/.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 1)
(/.f32 (+.f32 (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) (+.f32 u u)) (/.f32 2 n0_i)) 2)
(/.f32 (.f32 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 4) 4)
(/.f32 (neg.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))) -1)
(/.f32 (.f32 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 8) 8)
(/.f32 (.f32 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) -2) -2)
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 8)) 16)
(/.f32 (/.f32 (.f32 (+.f32 (/.f32 1 n0_i) (.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) -2) -1) 2)
(pow.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u)) 1)
(neg.f32 (neg.f32 (+.f32 (/.f32 1 n0_i) (*.f32 (-.f32 (/.f32 1 n0_i) (/.f32 n1_i (pow.f32 n0_i 2))) u))))

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

eval1.6s (6.3%)

Compiler: Compiled 23750 to 13993 computations (41.1% saved)

prune890.0ms (3.5%)

Pruning

40 alts after pruning (35 fresh and 5 done)

	Pruned	Kept	Total
New	1070	10	1080
Fresh	1	25	26
Picked	1	0	1
Done	2	5	7
Total	1074	40	1114

Error

0.0b

Counts

1114 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	6.5b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	1.3b	(/.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (/.f32 (sin.f32 normAngle) normAngle))
	16.2b	(/.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) n0_i) (sin.f32 normAngle))
✓	16.2b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	15.4b	(/.f32 n0_i (+.f32 u 1))
	20.9b	(/.f32 1 (/.f32 (/.f32 1 u) (+.f32 n1_i (neg.f32 n0_i))))
	15.5b	(/.f32 1 (/.f32 (+.f32 u 1) n0_i))
	6.4b	(/.f32 1 (/.f32 1 (+.f32 (*.f32 n1_i u) n0_i)))
	15.4b	(/.f32 1 (+.f32 (/.f32 u n0_i) (/.f32 1 n0_i)))
	17.9b	(/.f32 1 (neg.f32 (+.f32 (*.f32 n1_i (/.f32 u (pow.f32 n0_i 2))) (/.f32 (-.f32 -1 u) n0_i))))
	7.6b	(/.f32 -1 (/.f32 (sin.f32 normAngle) (.f32 normAngle (neg.f32 (+.f32 (.f32 n1_i u) (*.f32 (-.f32 1 u) n0_i))))))
	24.3b	(-.f32 (-.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -3) 3)
	23.8b	(-.f32 (+.f32 -1 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) -1)
	0.9b	(+.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i)) (.f32 n1_i u))
	7.4b	(+.f32 (/.f32 n0_i (+.f32 u 1)) (/.f32 (*.f32 n1_i u) (pow.f32 (+.f32 u 1) 2)))
	0.9b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	1.4b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i normAngle)))
	1.1b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (*.f32 1/6 normAngle)))))
	1.2b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (+.f32 (/.f32 n0_i normAngle) (.f32 normAngle (.f32 1/6 n0_i)))) (*.f32 n1_i u))
✓	1.0b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	6.4b	(+.f32 (*.f32 n1_i u) n0_i)
	0.5b	(+.f32 n0_i (*.f32 (+.f32 (/.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 1 n1_i)) (neg.f32 n0_i)) u))
✓	0.5b	(+.f32 n0_i (*.f32 (+.f32 (/.f32 normAngle (/.f32 (sin.f32 normAngle) n1_i)) (neg.f32 n0_i)) u))
	0.5b	(+.f32 n0_i (*.f32 (+.f32 (/.f32 -1 (/.f32 (/.f32 (sin.f32 normAngle) (neg.f32 n1_i)) normAngle)) (neg.f32 n0_i)) u))
	0.7b	(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 1/6 normAngle)))) (neg.f32 n0_i)) u))
	13.7b	(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
	28.2b	(+.f32 -1 (+.f32 1 (*.f32 u n1_i)))
	13.6b	(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 1 u) normAngle)))
	9.9b	(.f32 (/.f32 2 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (/.f32 1 (/.f32 2 (.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))))
	8.7b	(.f32 (/.f32 1 (+.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 n1_i u) (.f32 (-.f32 1 u) n0_i))))
	7.7b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 n0_i normAngle) (.f32 u (.f32 normAngle (+.f32 n1_i (neg.f32 n0_i))))))
	28.3b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 -1 (-.f32 1 (.f32 normAngle (neg.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))))
	7.6b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i)))) normAngle))
	14.4b	(.f32 (-.f32 1 u) (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))))
✓	13.8b	(*.f32 (-.f32 1 u) n0_i)
	20.0b	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
	20.9b	(.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
	19.9b	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓	20.2b	(*.f32 u n1_i)
	17.4b	n0_i

Compiler

Compiled 666 to 465 computations (30.2% saved)

regimes417.0ms (1.6%)

Counts

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

Outputs
(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u))

Calls

5 calls:

234.0ms	u
72.0ms	normAngle
31.0ms	(+.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))
29.0ms	n0_i
28.0ms	n1_i

Results

Error	Segments	Branch
0.5b	1	`normAngle`
0.5b	1	`u`
0.5b	1	`n0_i`
0.5b	1	`n1_i`
0.5b	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 1019 to 498 computations (51.1% saved)

regimes117.0ms (0.5%)

Counts

28 → 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 n0_i (+.f32 u 1))
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 -1 (+.f32 1 (*.f32 u n1_i)))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(/.f32 1 (/.f32 (+.f32 u 1) 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 1 (+.f32 (/.f32 u n0_i) (/.f32 1 n0_i)))
(/.f32 1 (/.f32 1 (+.f32 (*.f32 n1_i u) n0_i)))
(/.f32 1 (/.f32 (/.f32 1 u) (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i normAngle)) (neg.f32 n0_i)) u))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i normAngle)))
(-.f32 (+.f32 -1 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) -1)
(-.f32 (-.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -3) 3)
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(+.f32 -1 (-.f32 1 (neg.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))
(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 1/6 normAngle)))) (neg.f32 n0_i)) u))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 u normAngle) (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (*.f32 1/6 normAngle)))))
(.f32 (/.f32 1 (+.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 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(.f32 (/.f32 2 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) (/.f32 1 (/.f32 2 (.f32 (+.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 normAngle) (/.f32 u (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (-.f32 1 u) (.f32 n0_i (/.f32 normAngle (sin.f32 normAngle))))
(/.f32 (.f32 (-.f32 1 u) (.f32 n0_i normAngle)) (sin.f32 normAngle))

Outputs
(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 1/6 normAngle)))) (neg.f32 n0_i)) u))

Calls

4 calls:

69.0ms	n1_i
14.0ms	n0_i
14.0ms	u
13.0ms	normAngle

Results

Error	Segments	Branch
0.7b	1	`normAngle`
0.7b	1	`u`
0.7b	1	`n0_i`
0.7b	1	`n1_i`

Compiler

Compiled 332 to 179 computations (46.1% saved)

regimes44.0ms (0.2%)

Counts

20 → 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 n0_i (+.f32 u 1))
(+.f32 n0_i (*.f32 u (neg.f32 n0_i)))
(+.f32 -1 (+.f32 1 (*.f32 u n1_i)))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(/.f32 1 (/.f32 (+.f32 u 1) 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 1 (+.f32 (/.f32 u n0_i) (/.f32 1 n0_i)))
(/.f32 1 (/.f32 1 (+.f32 (*.f32 n1_i u) n0_i)))
(/.f32 1 (/.f32 (/.f32 1 u) (+.f32 n1_i (neg.f32 n0_i))))
(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i normAngle)) (neg.f32 n0_i)) u))
(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (*.f32 u normAngle) (/.f32 n1_i normAngle)))
(-.f32 (+.f32 -1 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))) -1)
(-.f32 (-.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) -3) 3)
(/.f32 1 (/.f32 1 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))
(+.f32 -1 (-.f32 1 (neg.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)))))

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

Calls

4 calls:

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

Results

Error	Segments	Branch
0.9b	1	`normAngle`
0.9b	1	`u`
0.9b	1	`n0_i`
0.9b	1	`n1_i`

Compiler

Compiled 193 to 110 computations (43% saved)

regimes142.0ms (0.6%)

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

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

Calls

4 calls:

14.0ms	n1_i
6.0ms	n0_i
5.0ms	u
5.0ms	normAngle

Results

Error	Segments	Branch
6.4b	1	`normAngle`
6.4b	1	`u`
6.4b	1	`n0_i`
5.1b	3	`n1_i`

Compiler

Compiled 56 to 36 computations (35.7% saved)

bsearch1.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.369958630114303e-28	2.6978802217315555e-28
0.0ms	-5.933550545888602e-30	-4.1679512601060655e-30

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes26.0ms (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 n0_i (+.f32 u 1))

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

Calls

4 calls:

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

Results

Error	Segments	Branch
6.4b	1	`normAngle`
6.4b	1	`u`
6.4b	1	`n0_i`
5.1b	3	`n1_i`

Compiler

Compiled 43 to 29 computations (32.6% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.369958630114303e-28	2.6978802217315555e-28
0.0ms	-5.933550545888602e-30	-4.1679512601060655e-30

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes179.0ms (0.7%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	n0_i
9.0ms	n1_i
4.0ms	u
3.0ms	normAngle

Results

Error	Segments	Branch
13.8b	1	`normAngle`
13.8b	1	`u`
9.6b	3	`n0_i`
10.7b	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	5.244424704885611e-25	9.538500788642417e-25
0.0ms	-1.3263664922316009e-22	-1.281015951641276e-22

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes30.0ms (0.1%)

Accuracy

Total -15.9b remaining (-124.6%)

Threshold costs -15.9b (-124.6%)

Counts

2 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)

Outputs
n0_i
(*.f32 u n1_i)
n0_i

Calls

4 calls:

9.0ms	u
9.0ms	n1_i
8.0ms	n0_i
3.0ms	normAngle

Results

Error	Segments	Branch
17.4b	1	`normAngle`
15.1b	2	`u`
12.8b	3	`n0_i`
13.9b	3	`n1_i`

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	5.244424704885611e-25	9.538500788642417e-25
0.0ms	-1.3263664922316009e-22	-1.281015951641276e-22

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	308

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 1/6 normAngle)))) (neg.f32 n0_i)) u))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -1661535/332306998946228968225951765070086144) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 5192297/20769187434139310514121985316880384) (+.f32 n0_i (.f32 u (neg.f32 n0_i))) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -1661535/332306998946228968225951765070086144) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 5192297/20769187434139310514121985316880384) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -10299661/79228162514264337593543950336) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 6084723/10141204801825835211973625643008) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -10299661/79228162514264337593543950336) n0_i (if (<=.f32 n0_i 6084723/10141204801825835211973625643008) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u))
(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (+.f32 (/.f32 n1_i normAngle) (.f32 n1_i (.f32 1/6 normAngle)))) (neg.f32 n0_i)) u))
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -1661535/332306998946228968225951765070086144) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 5192297/20769187434139310514121985316880384) (+.f32 n0_i (.f32 u (neg.f32 n0_i))) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -1661535/332306998946228968225951765070086144) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 5192297/20769187434139310514121985316880384) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -10299661/79228162514264337593543950336) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 6084723/10141204801825835211973625643008) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -10299661/79228162514264337593543950336) n0_i (if (<=.f32 n0_i 6084723/10141204801825835211973625643008) (*.f32 u n1_i) n0_i))
n0_i

Compiler

Compiled 152 to 94 computations (38.2% saved)

soundness314.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1786×	`rational.json-simplify-35`
1336×	`rational.json-simplify-26`
1224×	`rational.json-simplify-2`
1198×	`rational.json-simplify-1`
920×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	39	77
2	57	77
3	81	61
4	111	61
5	160	61
6	292	61
7	727	61
8	1901	61
9	2699	61
10	3934	61
11	6315	61
0	150	3907
1	363	3807
2	773	3741
3	1631	3723
4	3396	3723
5	4550	3723
6	5687	3723
7	6895	3723

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 227 to 118 computations (48% saved)

end89.0ms (0.3%)

Compiler: Compiled 124 to 61 computations (50.8% saved)