Details

analyze1.4s (5.4%)

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)

sample12.2s (47.3%)

Results

10.0s	8256×	body	256	valid
2.2s	2012×	body	256	precondition

Bogosity

preprocess110.0ms (0.4%)

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)

simplify82.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.8b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.9b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
▶	3.8b	(+.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)))
▶	7.2b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

Status

Error

Program

▶

0.9b

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

▶

3.8b

(+.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)))

▶

7.2b

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

Compiler

Compiled 82 to 57 computations (30.5% saved)

localize78.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i)
✓	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	0.1b	(*.f32 (-.f32 1 u) normAngle)
✓	7.1b	(.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)

series17.0ms (0.1%)

Counts

4 → 80

Calls

36 calls:

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

rewrite226.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 131

Calls

Call 1

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

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

simplify160.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1584×	`rational.json-simplify-35`
1252×	`rational.json-simplify-2`
916×	`rational.json-simplify-46`
734×	`rational.json-simplify-41`
684×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	445	10347
1	1225	10071
2	3039	9951
3	6439	9895

Stop Event

1×	node limit

Counts

211 → 240

Calls

Call 1

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

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

localize98.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f32 (-.f32 1 u) normAngle)
✓	0.2b	(*.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))
✓	11.4b	(.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))
2.0ms	normAngle	@	inf	(*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)
1.0ms	normAngle	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))
1.0ms	normAngle	@	0	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))
0.0ms	n0_i	@	0	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) n0_i))

rewrite98.0ms (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 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Outputs

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1)))))

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

simplify161.0ms (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))
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(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)))) (*.f32 (sin.f32 normAngle) 2))
(/.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i)))) (-.f32 0 (neg.f32 (*.f32 (sin.f32 normAngle) 2))))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))) (-.f32 0 (.f32 2 (neg.f32 (sin.f32 normAngle)))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))) (neg.f32 (sin.f32 normAngle)))
(pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) 1)
(+.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 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 normAngle) 2)) (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 normAngle) 2)))
(-.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 0)
(/.f32 1 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i)))
(/.f32 1 (.f32 (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) n0_i)) 1))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 1 (sin.f32 (*.f32 normAngle (-.f32 1 u)))))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 n0_i (sin.f32 normAngle))) 1)
(/.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)))))
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(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4)) (.f32 2 (.f32 (/.f32 n0_i (sin.f32 normAngle)) 4))) 16)
(/.f32 (*.f32 4 (/.f32 n0_i (sin.f32 normAngle))) 4)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) 1)
(/.f32 (+.f32 (.f32 2 (neg.f32 n0_i)) (.f32 2 (neg.f32 n0_i))) (.f32 2 (.f32 2 (neg.f32 (sin.f32 normAngle)))))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (+.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (neg.f32 n0_i))) (*.f32 (sin.f32 normAngle) 2))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (/.f32 n0_i 1/2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (/.f32 (neg.f32 (neg.f32 n0_i)) 1/2) (*.f32 (sin.f32 normAngle) 2))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (/.f32 (neg.f32 (neg.f32 n0_i)) 2) (/.f32 (sin.f32 normAngle) 2))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (/.f32 (.f32 2 (.f32 n0_i 4)) (sin.f32 normAngle)) 8)
(/.f32 (*.f32 4 (/.f32 n0_i (sin.f32 normAngle))) 4)
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) 1)
(/.f32 (/.f32 n0_i (neg.f32 (sin.f32 normAngle))) -1)
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (/.f32 n0_i (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)) -1)
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (/.f32 (neg.f32 (neg.f32 n0_i)) (*.f32 (sin.f32 normAngle) 4)) 1/4)
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 n0_i 4)) (neg.f32 (.f32 (sin.f32 normAngle) 4)))
(/.f32 (neg.f32 (.f32 4 n0_i)) (neg.f32 (.f32 4 (sin.f32 normAngle))))
(/.f32 (.f32 n0_i -4) (.f32 (sin.f32 normAngle) -4))
(/.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))

localize93.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f32 (-.f32 1 u) normAngle)
✓	0.2b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
✓	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.5b	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

Compiler

Compiled 105 to 54 computations (48.6% saved)

series6.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite92.0ms (0.4%)

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)))))

simplify158.0ms (0.6%)

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

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

eval1.1s (4.4%)

Compiler: Compiled 30759 to 16863 computations (45.2% saved)

prune428.0ms (1.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	828	22	850
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	831	22	853

Error

0.0b

Counts

853 → 22

Alt Table

Click to see full alt table

Status	Error	Program
	9.7b	(/.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 2 (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) n0_i) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))))
	7.1b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	17.9b	(/.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (sin.f32 normAngle))
	20.1b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	1.0b	(+.f32 (/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 1 (sin.f32 (.f32 normAngle (-.f32 1 u))))) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
	0.9b	(+.f32 (/.f32 (sin.f32 (.f32 normAngle (-.f32 1 u))) (/.f32 (sin.f32 normAngle) n0_i)) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
▶	0.3b	(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (.f32 -1/6 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (-.f32 (.f32 n1_i (pow.f32 u 3)) (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))))) (pow.f32 normAngle 2)))
▶	3.7b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
	0.9b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
	0.9b	(+.f32 (.f32 (.f32 (sin.f32 (+.f32 normAngle (.f32 u (neg.f32 normAngle)))) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))) n1_i))
▶	0.9b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	0.7b	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	0.7b	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (.f32 (/.f32 1 (sin.f32 normAngle)) n0_i)) (.f32 n1_i u))
▶	0.6b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	8.4b	(+.f32 n0_i (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
▶	6.0b	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
	1.6b	(+.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)))
	7.3b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
	14.5b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
	14.4b	(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
	18.1b	n0_i

Compiler

Compiled 931 to 644 computations (30.8% saved)

localize236.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 n0_i (pow.f32 (-.f32 1 u) 3))
✓	0.4b	(.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)))))
✓	0.6b	(pow.f32 (-.f32 1 u) 3)
✓	6.8b	(+.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))))

Compiler

Compiled 186 to 115 computations (38.2% saved)

series17.0ms (0.1%)

Counts

4 → 108

Calls

27 calls:

Time	Variable		Point	Expression
7.0ms	n0_i	@	inf	(.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)))))
1.0ms	n0_i	@	0	(+.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))))
1.0ms	u	@	-inf	(+.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))))
1.0ms	n1_i	@	0	(+.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))))
1.0ms	u	@	0	(+.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))))

rewrite119.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1618×	`rational.json-1`
1618×	`rational.json-2`
1618×	`rational.json-3`
1616×	`exponential.json-3`
1616×	`rational.json-4`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	172
1	133	172
2	251	172
3	495	168
4	973	168
5	2336	168
6	4417	168
7	6417	168

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(+.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 (-.f32 1 u) 3)
(.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 n0_i (pow.f32 (-.f32 1 u) 3))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (-.f32 1 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (.f32 n0_i (pow.f32 (-.f32 1 u) 3)) (neg.f32 (+.f32 (.f32 n0_i (-.f32 1 u)) (.f32 n1_i (-.f32 u (pow.f32 u 3)))))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 (-.f32 1 u) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (-.f32 1 u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (pow.f32 (+.f32 u -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2) (.f32 (pow.f32 (-.f32 1 u) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 (-.f32 1 u) 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (pow.f32 (+.f32 u -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (-.f32 1 u) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 1 u) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (pow.f32 (-.f32 1 u) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (-.f32 1 u) 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (pow.f32 (+.f32 u -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 8 (pow.f32 (/.f32 (+.f32 u -1) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (-.f32 1 u) 3) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 (pow.f32 (-.f32 1 u) 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (pow.f32 (-.f32 1 u) 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (-.f32 1 u) 3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/8 (.f32 (pow.f32 (-.f32 1 u) 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (-.f32 1 u) 3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 (+.f32 u -1) -2) 3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (-.f32 1 u) 3) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (+.f32 u -1) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 64 (pow.f32 (/.f32 (-.f32 1 u) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (-.f32 1 u) 4) 3) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (-.f32 1 u) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (pow.f32 (-.f32 1 u) 3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (+.f32 u -1) 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4)))) (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 (-.f32 1 u) 3) 4))))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (pow.f32 (+.f32 u -1) 3))))))
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simplify346.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1910×	`rational.json-simplify-1`
1762×	`rational.json-simplify-35`
1318×	`rational.json-simplify-53`
1080×	`rational.json-simplify-2`
774×	`rational.json-simplify-41`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	255	8455
1	555	7929
2	1362	7929
3	2595	7897
4	4412	7865
5	5544	7865
6	6105	7853
7	7056	7853
8	7575	7853
9	7979	7853

Stop Event

1×	node limit

Counts

185 → 257

Calls

Call 1

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

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

localize33.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 28 to 15 computations (46.4% saved)

series3.0ms (0%)

Counts

3 → 30

Calls

21 calls:

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

rewrite245.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 46

Calls

Call 1

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

Outputs

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

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

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

simplify661.0ms (2.6%)

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)

localize50.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 1 (sin.f32 normAngle))
✓	0.0b	(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i)
✓	0.0b	(+.f32 n0_i (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (*.f32 u normAngle))) n1_i))
	1.5b	(.f32 (/.f32 1 (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))

Compiler

Compiled 55 to 22 computations (60% saved)

series5.0ms (0%)

Counts

3 → 88

Calls

24 calls:

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

rewrite74.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify132.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1616×	`rational.json-simplify-35`
1054×	`rational.json-simplify-61`
984×	`rational.json-simplify-41`
884×	`rational.json-simplify-2`
798×	`rational.json-simplify-43`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	304	6374
1	914	6290
2	2398	6206
3	5987	6194

Stop Event

1×	node limit

Counts

184 → 185

Calls

Call 1

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

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

localize64.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(+.f32 (.f32 (-.f32 1 u) n0_i) (.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)))
	0.1b	(*.f32 (-.f32 1 u) n0_i)
	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
	11.4b	(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))

Compiler

Compiled 64 to 26 computations (59.4% saved)

series2.0ms (0%)

Counts

1 → 48

Calls

12 calls:

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

rewrite73.0ms (0.3%)

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	51
1	127	45
2	279	45
3	619	45
4	1385	45
5	4480	45

Stop Event

1×	node limit

Counts

1 → 15

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)))

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)))))

simplify212.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

2224×	`rational.json-simplify-1`
1470×	`rational.json-simplify-35`
1012×	`rational.json-simplify-41`
908×	`rational.json-simplify-2`
854×	`rational.json-simplify-51`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	114	3205
1	260	3141
2	535	3099
3	1053	3075
4	2125	3041
5	3706	3041
6	3974	3041
7	4273	3041
8	5164	3041
9	5995	3041
10	7332	3041

Stop Event

1×	node limit

Counts

63 → 71

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 (+.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)

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

localize87.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f32 (-.f32 1 u) normAngle)
	0.2b	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i)
	0.4b	(.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle)))
✓	1.3b	(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))

Compiler

Compiled 92 to 44 computations (52.2% saved)

series3.0ms (0%)

Counts

1 → 4

Calls

6 calls:

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

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1876×	`rational.json-simplify-35`
1354×	`rational.json-1`
1354×	`rational.json-2`
1354×	`rational.json-4`
1354×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	60	17
2	176	17
3	479	17
4	1502	17
5	4075	17

Stop Event

1×	node limit

Counts

1 → 71

Calls

Call 1

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

Outputs

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

simplify66.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1292×	`rational.json-simplify-46`
1166×	`rational.json-simplify-49`
1086×	`rational.json-simplify-35`
1040×	`rational.json-simplify-43`
990×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	177	1439
1	394	1397
2	879	1371
3	2077	1367
4	4209	1367

Stop Event

1×	node limit

Counts

75 → 87

Calls

Call 1

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

Outputs
u
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) u)
(+.f32 u (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)))
(+.f32 u (.f32 1/6 (.f32 u (pow.f32 normAngle 2))))
(+.f32 u (.f32 (pow.f32 normAngle 2) (.f32 u 1/6)))
(+.f32 u (.f32 u (.f32 1/6 (pow.f32 normAngle 2))))
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (.f32 1/120 u)) (pow.f32 normAngle 4))) u))
(+.f32 (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)) (+.f32 u (.f32 (+.f32 (.f32 u -1/36) (.f32 u 1/120)) (.f32 (pow.f32 normAngle 4) -1))))
(+.f32 u (+.f32 (.f32 (.f32 u -7/360) (neg.f32 (pow.f32 normAngle 4))) (.f32 1/6 (.f32 u (pow.f32 normAngle 2)))))
(+.f32 u (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 u 1/6)) (.f32 (pow.f32 normAngle 4) (.f32 u 7/360))))
(+.f32 u (.f32 u (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) (*.f32 -7/360 (neg.f32 (pow.f32 normAngle 4))))))
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 1/720 u) (+.f32 (.f32 -1/5040 u) (.f32 1/6 (+.f32 (.f32 -1/36 u) (.f32 1/120 u))))) (pow.f32 normAngle 6))) (+.f32 (.f32 -1 (.f32 (+.f32 (.f32 -1/36 u) (*.f32 1/120 u)) (pow.f32 normAngle 4))) u)))
(+.f32 (.f32 (+.f32 (.f32 u 1/720) (+.f32 (.f32 u -1/5040) (.f32 1/6 (+.f32 (.f32 u -1/36) (.f32 u 1/120))))) (.f32 (pow.f32 normAngle 6) -1)) (+.f32 (.f32 u (.f32 (pow.f32 normAngle 2) 1/6)) (+.f32 u (.f32 (+.f32 (.f32 u -1/36) (.f32 u 1/120)) (*.f32 (pow.f32 normAngle 4) -1)))))
(+.f32 (.f32 1/6 (.f32 u (pow.f32 normAngle 2))) (+.f32 (.f32 (.f32 u -7/360) (neg.f32 (pow.f32 normAngle 4))) (+.f32 u (.f32 (+.f32 (.f32 u 1/720) (+.f32 (.f32 u -1/5040) (.f32 1/6 (*.f32 u -7/360)))) (neg.f32 (pow.f32 normAngle 6))))))
(+.f32 u (+.f32 (+.f32 (.f32 (pow.f32 normAngle 2) (.f32 u 1/6)) (.f32 (pow.f32 normAngle 4) (.f32 u 7/360))) (.f32 (+.f32 (.f32 u -7/2160) (*.f32 u 1/840)) (neg.f32 (pow.f32 normAngle 6)))))
(+.f32 u (+.f32 (.f32 (+.f32 (.f32 u 1/720) (.f32 u -13/3780)) (neg.f32 (pow.f32 normAngle 6))) (.f32 u (+.f32 (.f32 1/6 (pow.f32 normAngle 2)) (.f32 -7/360 (neg.f32 (pow.f32 normAngle 4)))))))
(+.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) 0)
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(+.f32 0 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(+.f32 -1 (-.f32 1 (/.f32 (*.f32 u normAngle) (sin.f32 (neg.f32 normAngle)))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) 2) (/.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) 2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(-.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) 0)
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(-.f32 0 (/.f32 (*.f32 u normAngle) (sin.f32 (neg.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 (.f32 2 (/.f32 1 (sin.f32 normAngle))) (.f32 normAngle 1/2)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 (/.f32 2 (sin.f32 normAngle)) (*.f32 normAngle 1/2)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 u (.f32 (*.f32 2 (/.f32 normAngle (sin.f32 normAngle))) 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 normAngle (.f32 1/2 (/.f32 (+.f32 u u) (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 normAngle (.f32 (/.f32 2 (sin.f32 normAngle)) (*.f32 u 1/2)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 normAngle (.f32 (/.f32 (+.f32 u u) (sin.f32 normAngle)) 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (/.f32 1 (sin.f32 normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (.f32 (.f32 2 (/.f32 1 (sin.f32 normAngle))) 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u normAngle) (*.f32 (/.f32 2 (sin.f32 normAngle)) 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) 1)
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 1 (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u (+.f32 normAngle normAngle)) (/.f32 1/2 (sin.f32 normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u (+.f32 normAngle normAngle)) (*.f32 (/.f32 1 (sin.f32 normAngle)) 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u (+.f32 normAngle normAngle)) (.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) 1))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 u (sin.f32 normAngle)) normAngle)
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (/.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) 2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (*.f32 normAngle (/.f32 1/2 (sin.f32 normAngle))) u))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (*.f32 u (/.f32 1/2 (sin.f32 normAngle))) normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (/.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) 2) 1))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (*.f32 normAngle 1/2) (/.f32 u (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (*.f32 u 1/2) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (/.f32 (*.f32 u normAngle) 2) (/.f32 1 (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 normAngle (*.f32 u (/.f32 1/2 (sin.f32 normAngle)))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 u (*.f32 normAngle (/.f32 1/2 (sin.f32 normAngle)))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (*.f32 u normAngle) (/.f32 1/2 (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (/.f32 normAngle (sin.f32 normAngle)) (*.f32 u 1/2)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle 1/2)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 2 (.f32 (/.f32 1/2 (sin.f32 normAngle)) (*.f32 u normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (+.f32 normAngle normAngle) (.f32 u (/.f32 1/2 (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (+.f32 normAngle normAngle) (.f32 1/2 (/.f32 u (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (+.f32 normAngle normAngle) (.f32 (/.f32 u (sin.f32 normAngle)) 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 (+.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) 1/2)
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 normAngle (.f32 u 4)) (/.f32 1 (.f32 (sin.f32 normAngle) 4)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 normAngle (.f32 u 4)) (.f32 (/.f32 1 (*.f32 (sin.f32 normAngle) 4)) 1))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 normAngle (.f32 u 4)) (.f32 1/4 (/.f32 1 (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 normAngle (.f32 u 4)) (.f32 1/2 (/.f32 1/2 (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (+.f32 u u) (.f32 normAngle (/.f32 1/2 (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (+.f32 u u) (.f32 1/2 (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (+.f32 u u) (.f32 (/.f32 normAngle (sin.f32 normAngle)) 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 1 (sin.f32 normAngle)) (.f32 u normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u (neg.f32 normAngle)) (/.f32 -1 (sin.f32 normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u (neg.f32 normAngle)) (*.f32 (/.f32 -1 (sin.f32 normAngle)) 1))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (neg.f32 u) (.f32 (/.f32 -1 (sin.f32 normAngle)) normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (/.f32 (.f32 u normAngle) (sin.f32 (neg.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (.f32 (/.f32 u (sin.f32 (neg.f32 normAngle))) normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 -1 (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 (neg.f32 normAngle))) 1))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 2 (/.f32 normAngle (sin.f32 normAngle))) (*.f32 u 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 (+.f32 u u) (sin.f32 normAngle)) (.f32 normAngle 1/2))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u (/.f32 1/2 (sin.f32 normAngle))) (+.f32 normAngle normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 normAngle (/.f32 1/2 (sin.f32 normAngle))) (+.f32 u u))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 1/2 (sin.f32 normAngle)) (.f32 u (+.f32 normAngle normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 u 1/2) (*.f32 2 (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 normAngle 1/2) (/.f32 (+.f32 u u) (sin.f32 normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 1/2 (.f32 (+.f32 u u) (/.f32 normAngle (sin.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (.f32 (/.f32 1 (sin.f32 normAngle)) 1/2) (*.f32 u (+.f32 normAngle normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 (neg.f32 normAngle))) -1)
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) 2) 2)
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 1 (.f32 (sin.f32 normAngle) 4)) (.f32 normAngle (.f32 u 4)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(.f32 (/.f32 -1 (sin.f32 normAngle)) (.f32 u (neg.f32 normAngle)))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(pow.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) 1)
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(neg.f32 (/.f32 (*.f32 u normAngle) (sin.f32 (neg.f32 normAngle))))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))

eval530.0ms (2.1%)

Compiler: Compiled 33929 to 19027 computations (43.9% saved)

prune376.0ms (1.5%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	1102	15	1117
Fresh	12	5	17
Picked	1	0	1
Done	3	1	4
Total	1118	21	1139

Error

0.0b

Counts

1139 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	7.1b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	20.1b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	0.4b	(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (.f32 (-.f32 (.f32 n0_i -3) (+.f32 n1_i (neg.f32 n0_i))) (.f32 u -1/6)) (pow.f32 normAngle 2)))
	4.8b	(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (/.f32 2 (sin.f32 normAngle)) (/.f32 (/.f32 2 n1_i) (sin.f32 (.f32 normAngle u)))))
	3.8b	(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
	0.5b	(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 n0_i (neg.f32 u))))
✓	0.6b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	5.7b	(+.f32 (*.f32 n1_i u) n0_i)
	0.8b	(+.f32 (.f32 n0_i (neg.f32 u)) (+.f32 n0_i (.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
▶	6.0b	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
▶	0.3b	(+.f32 n0_i (.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u))
	6.1b	(+.f32 n0_i (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i))
	5.5b	(+.f32 n0_i (.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
	6.1b	(+.f32 n0_i (.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle))))
▶	0.5b	(+.f32 n0_i (*.f32 u (+.f32 n1_i (neg.f32 n0_i))))
	7.3b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
	14.5b	(*.f32 (-.f32 1 u) n0_i)
	18.7b	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
▶	18.2b	(*.f32 u n1_i)
	14.4b	(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
	18.1b	n0_i

Compiler

Compiled 626 to 429 computations (31.5% saved)

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 55 to 11 computations (80% saved)

series11.0ms (0%)

Counts

4 → 156

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	u	@	-inf	(.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)
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)))
1.0ms	normAngle	@	0	(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
0.0ms	n0_i	@	0	(.f32 (+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i)) u)

rewrite164.0ms (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	116
1	101	116
2	237	116
3	553	116
4	1397	116
5	5621	116
6	7846	116

Stop Event

1×	node limit

Counts

4 → 177

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 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 n0_i))

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

simplify131.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1580×	`rational.json-simplify-35`
984×	`rational.json-simplify-51`
712×	`rational.json-simplify-44`
686×	`rational.json-simplify-61`
682×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	467	9253
1	1647	8839
2	5593	8773

Stop Event

1×	node limit

Counts

333 → 284

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

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

localize10.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 5 computations (44.4% saved)

series0.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite212.0ms (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)))))

simplify517.0ms (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)

localize28.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 8 computations (70.4% saved)

series3.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite146.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify965.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

109 → 64

Calls

Call 1

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

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

localize34.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 9 computations (75.7% saved)

series5.0ms (0%)

Counts

2 → 84

Calls

21 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1292×	`rational.json-1`
1292×	`rational.json-2`
1292×	`rational.json-4`
1292×	`rational.json-3`
1284×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	52
1	86	52
2	220	52
3	588	52
4	1827	52
5	4582	52

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1922×	`rational.json-simplify-35`
1450×	`rational.json-simplify-49`
966×	`rational.json-simplify-46`
896×	`rational.json-simplify-2`
890×	`rational.json-simplify-41`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	233	4306
1	795	4114
2	2297	4086
3	6242	4086

Stop Event

1×	node limit

Counts

158 → 111

Calls

Call 1

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

localize32.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f32 (*.f32 u normAngle))
	0.1b	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	11.3b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))

Compiler

Compiled 31 to 9 computations (71% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

15 calls:

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

rewrite78.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1140×	`rational.json-1`
1140×	`rational.json-2`
1140×	`rational.json-4`
1140×	`rational.json-3`
1132×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	38
1	81	38
2	218	38
3	584	38
4	1739	38
5	4167	38

Stop Event

1×	node limit

Counts

2 → 104

Calls

Call 1

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

Outputs

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

simplify169.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1696×	`rational.json-simplify-35`
1312×	`rational.json-simplify-2`
944×	`rational.json-simplify-49`
796×	`exponential.json-simplify-26`
748×	`rational.json-simplify-43`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	272	3692
1	659	3650
2	1651	3608
3	4081	3608
4	6233	3608
5	7810	3608

Stop Event

1×	node limit

Counts

120 → 147

Calls

Call 1

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

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

eval189.0ms (0.7%)

Compiler: Compiled 13290 to 6380 computations (52% saved)

prune176.0ms (0.7%)

Pruning

25 alts after pruning (22 fresh and 3 done)

	Pruned	Kept	Total
New	725	12	737
Fresh	5	10	15
Picked	0	1	1
Done	3	2	5
Total	733	25	758

Error

Counts

758 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	7.1b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	20.2b	(/.f32 (.f32 (.f32 u normAngle) n1_i) (sin.f32 normAngle))
✓	20.1b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
▶	0.4b	(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (.f32 (-.f32 (.f32 n0_i -3) (+.f32 n1_i (neg.f32 n0_i))) (.f32 u -1/6)) (pow.f32 normAngle 2)))
	2.6b	(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
	0.5b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	3.8b	(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
▶	0.5b	(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 u (neg.f32 n0_i))))
✓	0.6b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	5.7b	(+.f32 (*.f32 n1_i u) n0_i)
	0.5b	(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
▶	5.6b	(+.f32 n0_i (/.f32 normAngle (/.f32 (/.f32 (sin.f32 normAngle) u) n1_i)))
	6.1b	(+.f32 n0_i (/.f32 n1_i (/.f32 (sin.f32 normAngle) (*.f32 u normAngle))))
	4.7b	(+.f32 n0_i (.f32 (+.f32 (/.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n1_i)) (.f32 (.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)) (/.f32 2 normAngle))) (neg.f32 n0_i)) u))
	5.5b	(+.f32 n0_i (.f32 (+.f32 (.f32 1/6 (*.f32 u (pow.f32 normAngle 2))) u) n1_i))
	11.2b	(+.f32 n0_i (.f32 (+.f32 -1 (-.f32 1 (/.f32 (.f32 u normAngle) (sin.f32 (neg.f32 normAngle))))) n1_i))
▶	6.1b	(+.f32 n0_i (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i))
	14.4b	(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
	7.3b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
▶	14.5b	(*.f32 (-.f32 1 u) n0_i)
	18.7b	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
✓	18.2b	(*.f32 u n1_i)
	18.1b	(.f32 n1_i (.f32 u (/.f32 normAngle (sin.f32 normAngle))))
	14.4b	(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
	18.1b	n0_i

Compiler

Compiled 720 to 489 computations (32.1% saved)

localize91.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 109 to 58 computations (46.8% saved)

series5.0ms (0%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(.f32 (-.f32 (.f32 n0_i -3) (+.f32 n1_i (neg.f32 n0_i))) (*.f32 u -1/6))
0.0ms	u	@	inf	(.f32 (-.f32 (.f32 n0_i -3) (+.f32 n1_i (neg.f32 n0_i))) (*.f32 u -1/6))
0.0ms	n0_i	@	0	(.f32 (-.f32 (.f32 n0_i -3) (+.f32 n1_i (neg.f32 n0_i))) (*.f32 u -1/6))
0.0ms	n1_i	@	0	(.f32 (-.f32 (.f32 n0_i -3) (+.f32 n1_i (neg.f32 n0_i))) (*.f32 u -1/6))
0.0ms	u	@	inf	(*.f32 u -1/6)

rewrite109.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1844×	`rational.json-1`
1236×	`rational.json-simplify-35`
1064×	`exponential.json-3`
1064×	`rational.json-2`
1064×	`rational.json-4`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	14	65
1	96	65
2	202	65
3	433	53
4	897	49
5	2260	49
6	4828	49
7	7650	49

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

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

Outputs

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

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

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

simplify214.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1820×	`rational.json-simplify-35`
1512×	`rational.json-simplify-53`
1352×	`rational.json-simplify-51`
1130×	`rational.json-simplify-1`
1118×	`rational.json-simplify-43`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	175	2972
1	395	2924
2	921	2864
3	3101	2756
4	6406	2756
5	7074	2752
6	7400	2752
7	7594	2752
8	7869	2752

Stop Event

1×	node limit

Counts

138 → 113

Calls

Call 1

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

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

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 15 to 10 computations (33.3% saved)

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 32 to 9 computations (71.9% saved)

series3.0ms (0%)

Counts

3 → 84

Calls

21 calls:

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

rewrite154.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1598×	`rational.json-1`
1598×	`rational.json-2`
1598×	`rational.json-4`
1598×	`rational.json-3`
1470×	`exponential.json-3`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	11	57
1	78	51
2	178	51
3	404	51
4	887	51
5	2337	47
6	4381	47
7	5760	47
8	7428	47
9	7791	47

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

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

Outputs

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

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

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

simplify158.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1736×	`rational.json-simplify-35`
1302×	`rational.json-simplify-2`
1260×	`rational.json-simplify-51`
998×	`rational.json-simplify-1`
978×	`rational.json-simplify-48`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	155	2761
1	361	2745
2	848	2487
3	2382	2287
4	4882	2287
5	5818	2287
6	6343	2287
7	6992	2287

Stop Event

1×	node limit

Counts

149 → 94

Calls

Call 1

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

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

localize30.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 9 computations (76.3% saved)

series6.0ms (0%)

Counts

4 → 124

Calls

36 calls:

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

rewrite75.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1434×	`rational.json-simplify-2`
1332×	`exponential.json-3`
1332×	`rational.json-1`
1332×	`rational.json-2`
1332×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	80
1	94	80
2	315	80
3	1210	80
4	4168	80

Stop Event

1×	node limit

Counts

4 → 184

Calls

Call 1

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

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

simplify138.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

1238×	`rational.json-simplify-44`
1228×	`rational.json-simplify-35`
1116×	`rational.json-simplify-61`
1102×	`rational.json-simplify-47`
1014×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	396	7266
1	857	7014
2	2038	6986
3	6652	6986

Stop Event

1×	node limit

Counts

308 → 264

Calls

Call 1

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

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

localize55.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i)
✓	0.0b	(+.f32 n0_i (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i))
✓	0.3b	(*.f32 normAngle 1/6)
✓	1.5b	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (*.f32 u normAngle)))

Compiler

Compiled 72 to 38 computations (47.2% saved)

series21.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
11.0ms	n0_i	@	0	(+.f32 n0_i (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i))
1.0ms	normAngle	@	0	(+.f32 n0_i (.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (.f32 u normAngle))) n1_i))
1.0ms	u	@	inf	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (*.f32 u normAngle)))
1.0ms	u	@	0	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (*.f32 u normAngle)))
0.0ms	normAngle	@	inf	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (*.f32 u normAngle)))

rewrite97.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1690×	`rational.json-1`
1690×	`rational.json-2`
1690×	`rational.json-3`
1022×	`rational.json-simplify-2`
948×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	130
1	124	130
2	252	130
3	536	130
4	1125	130
5	2990	130
6	7058	130

Stop Event

1×	node limit

Counts

4 → 51

Calls

Call 1

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

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

simplify220.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1852×	`rational.json-simplify-35`
1354×	`rational.json-simplify-51`
870×	`rational.json-simplify-46`
830×	`rational.json-simplify-43`
780×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	7601
1	588	7379
2	1244	7009
3	2696	6955
4	4985	6955
5	5857	6955
6	7200	6955
7	7578	6955

Stop Event

1×	node limit

Counts

171 → 173

Calls

Call 1

Inputs
u
(+.f32 (.f32 (+.f32 (.f32 1/6 u) (*.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) u)
(+.f32 (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 -1/36 (pow.f32 u 3))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 1/6 u) (.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) u))
(+.f32 (.f32 (+.f32 (.f32 -1/5040 (pow.f32 u 7)) (.f32 1/720 (pow.f32 u 5))) (pow.f32 normAngle 6)) (+.f32 (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 -1/36 (pow.f32 u 3))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 1/6 u) (*.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) u)))
(.f32 1/6 (.f32 (sin.f32 (*.f32 u normAngle)) normAngle))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(.f32 1/6 (.f32 (sin.f32 (*.f32 u normAngle)) normAngle))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 u normAngle))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle)) (.f32 -1/6 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))
(+.f32 (.f32 1/120 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle)) (.f32 -1/6 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))))
(+.f32 (.f32 -1/5040 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 7) (pow.f32 normAngle 7)))) (+.f32 (.f32 1/120 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 5) (pow.f32 normAngle 5)))) (+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle)) (.f32 -1/6 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(*.f32 1/6 normAngle)
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
n0_i
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
n0_i
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 (*.f32 n1_i u) n0_i)
(+.f32 (.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) n0_i))
(+.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 -1/36 (.f32 n1_i (pow.f32 u 3)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (*.f32 n1_i u) n0_i)))
(+.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 -1/36 (.f32 n1_i (pow.f32 u 3)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (.f32 1/720 (.f32 n1_i (pow.f32 u 5)))) (pow.f32 normAngle 6))))))
(.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle)))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) n0_i)
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle)))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle)))
(.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle)))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) n0_i)
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle)))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (+.f32 n0_i (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle)))
n0_i
(+.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle))) n0_i)
(+.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle))) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))) n0_i))
(+.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))))) (+.f32 (.f32 -1/6 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))) n0_i)))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) n0_i)
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) n1_i)) n0_i)
n0_i
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(+.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))))
(*.f32 n1_i u)
(+.f32 (.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (.f32 n1_i u))
(+.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 -1/36 (.f32 n1_i (pow.f32 u 3)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (*.f32 n1_i u)))
(+.f32 (.f32 (+.f32 (.f32 1/120 (.f32 n1_i (pow.f32 u 5))) (.f32 -1/36 (.f32 n1_i (pow.f32 u 3)))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 -1/6 (.f32 n1_i (pow.f32 u 3))) (.f32 1/6 (.f32 n1_i u))) (pow.f32 normAngle 2)) (+.f32 (.f32 n1_i u) (.f32 (+.f32 (.f32 -1/5040 (.f32 n1_i (pow.f32 u 7))) (.f32 1/720 (.f32 n1_i (pow.f32 u 5)))) (pow.f32 normAngle 6)))))
(.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle)))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))
(.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle)))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))
(+.f32 (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i normAngle))) (/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) normAngle))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle)))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))) (.f32 -1/6 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))))) (.f32 -1/6 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))) (+.f32 (.f32 -1/5040 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 7) (pow.f32 normAngle 7))))) (+.f32 (.f32 1/120 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 (pow.f32 u 5) (pow.f32 normAngle 5))))) (.f32 -1/6 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3))))))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(.f32 (sin.f32 (.f32 u normAngle)) (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (*.f32 normAngle u))) 0)
(+.f32 0 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (*.f32 normAngle u))))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) 1/2)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) 1/2)))
(-.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (*.f32 normAngle u))) 0)
(/.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (*.f32 normAngle u))) 1)
(/.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) 2)) 2)
(/.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) 4)) 4)
(/.f32 (.f32 2 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (*.f32 normAngle u)) 4))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) 4)))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) 4)))) (.f32 2 (.f32 2 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) 4))))) 32)
(pow.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (sin.f32 (*.f32 normAngle u))) 1)
(+.f32 (*.f32 normAngle 1/6) 0)
(+.f32 0 (*.f32 normAngle 1/6))
(+.f32 (.f32 normAngle 1/12) (.f32 normAngle 1/12))
(-.f32 (*.f32 normAngle 1/6) 0)
(/.f32 (*.f32 normAngle 1/6) 1)
(/.f32 (*.f32 normAngle 1/3) 2)
(/.f32 (*.f32 normAngle 2/3) 4)
(/.f32 (.f32 2 (.f32 normAngle 2/3)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 normAngle 2/3))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 normAngle 2/3))) (.f32 2 (.f32 2 (.f32 normAngle 2/3)))) 32)
(pow.f32 (*.f32 normAngle 1/6) 1)
(-.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 0)
(.f32 1 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
(.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) 1)
(.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1/2))
(.f32 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 2) 1/2)
(.f32 4 (/.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) 4))
(.f32 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 4) 1/4)
(.f32 1/2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 2))
(.f32 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1/2) 2)
(.f32 1/4 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 4))
(.f32 (/.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) 4) 4)
(/.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1)
(/.f32 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) 2) 2)
(/.f32 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) 4) 4)
(/.f32 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 4))) (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 4)))) 32)
(pow.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1)
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 0)
(+.f32 0 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2)))
(-.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 0)
(/.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)
(/.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i))) 2)
(/.f32 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) 4)) 4)
(/.f32 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) 4))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) 4)))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) 4)))) (.f32 2 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) 4))))) 32)
(pow.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)

Outputs
u
(+.f32 (.f32 (+.f32 (.f32 1/6 u) (*.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) u)
(+.f32 u (.f32 (+.f32 (.f32 u 1/6) (*.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)))
(+.f32 (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 -1/36 (pow.f32 u 3))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 1/6 u) (.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) u))
(+.f32 (+.f32 u (.f32 (+.f32 (.f32 u 1/6) (.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2))) (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 (pow.f32 u 3) -1/36)) (pow.f32 normAngle 4)))
(+.f32 u (+.f32 (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 (pow.f32 u 3) -1/36)) (pow.f32 normAngle 4)) (.f32 (+.f32 (.f32 u 1/6) (.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2))))
(+.f32 u (+.f32 (.f32 (+.f32 (.f32 u 1/6) (.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 (pow.f32 u 3) -1/36)) (pow.f32 normAngle 4))))
(+.f32 (.f32 (+.f32 (.f32 -1/5040 (pow.f32 u 7)) (.f32 1/720 (pow.f32 u 5))) (pow.f32 normAngle 6)) (+.f32 (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 -1/36 (pow.f32 u 3))) (pow.f32 normAngle 4)) (+.f32 (.f32 (+.f32 (.f32 1/6 u) (*.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) u)))
(+.f32 (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 (pow.f32 u 3) -1/36)) (pow.f32 normAngle 4)) (+.f32 (+.f32 u (.f32 (+.f32 (.f32 u 1/6) (.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2))) (.f32 (+.f32 (.f32 -1/5040 (pow.f32 u 7)) (*.f32 (pow.f32 u 5) 1/720)) (pow.f32 normAngle 6))))
(+.f32 (+.f32 u (.f32 (+.f32 (.f32 u 1/6) (.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2))) (+.f32 (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (.f32 (pow.f32 u 3) -1/36)) (pow.f32 normAngle 4)) (.f32 (+.f32 (.f32 -1/5040 (pow.f32 u 7)) (*.f32 (pow.f32 u 5) 1/720)) (pow.f32 normAngle 6))))
(+.f32 u (+.f32 (.f32 (+.f32 (.f32 -1/5040 (pow.f32 u 7)) (.f32 (pow.f32 u 5) 1/720)) (pow.f32 normAngle 6)) (+.f32 (.f32 (+.f32 (.f32 u 1/6) (.f32 -1/6 (pow.f32 u 3))) (pow.f32 normAngle 2)) (.f32 (+.f32 (.f32 1/120 (pow.f32 u 5)) (*.f32 (pow.f32 u 3) -1/36)) (pow.f32 normAngle 4)))))
(.f32 1/6 (.f32 (sin.f32 (*.f32 u normAngle)) normAngle))
(.f32 1/6 (.f32 normAngle (sin.f32 (*.f32 u normAngle))))
(.f32 (.f32 1/6 normAngle) (sin.f32 (*.f32 u normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (.f32 1/6 (.f32 normAngle (sin.f32 (.f32 u normAngle)))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (.f32 (.f32 1/6 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (.f32 1/6 (.f32 normAngle (sin.f32 (.f32 u normAngle)))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (.f32 (.f32 1/6 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (.f32 1/6 (.f32 normAngle (sin.f32 (.f32 u normAngle)))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (.f32 (.f32 1/6 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(.f32 1/6 (.f32 (sin.f32 (*.f32 u normAngle)) normAngle))
(.f32 1/6 (.f32 normAngle (sin.f32 (*.f32 u normAngle))))
(.f32 (.f32 1/6 normAngle) (sin.f32 (*.f32 u normAngle)))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (.f32 1/6 (.f32 normAngle (sin.f32 (.f32 u normAngle)))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (.f32 (.f32 1/6 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (.f32 1/6 (.f32 normAngle (sin.f32 (.f32 u normAngle)))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (.f32 (.f32 1/6 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) normAngle) (.f32 1/6 (.f32 (sin.f32 (.f32 u normAngle)) normAngle)))
(+.f32 (.f32 1/6 (.f32 normAngle (sin.f32 (.f32 u normAngle)))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(+.f32 (.f32 (.f32 1/6 normAngle) (sin.f32 (.f32 u normAngle))) (/.f32 (sin.f32 (.f32 u normAngle)) normAngle))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 u normAngle))
(.f32 (.f32 u normAngle) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))
(.f32 u (.f32 normAngle (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle))))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle)) (.f32 -1/6 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (*.f32 (pow.f32 u 3) (pow.f32 normAngle 3)))))
(+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (.f32 -1/6 (.f32 (pow.f32 (.f32 u normAngle) 3) (+.f32 (/.f32 1 normAngle) (*.f32 1/6 normAngle)))))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (+.f32 (.f32 u normAngle) (.f32 -1/6 (pow.f32 (*.f32 u normAngle) 3))))
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(/.f32 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 4)) 8)
(+.f32 n0_i (.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle))))
(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))) 4))) 16)
(+.f32 n0_i (.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle))))
(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 4))) (.f32 2 (.f32 2 (.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 4)))) 32)
(+.f32 n0_i (.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle))))
(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(pow.f32 (+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))) 1)
(+.f32 n0_i (.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle))))
(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle)))))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 0)
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(+.f32 0 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(+.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2)) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (/.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) 2)))
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(-.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 0)
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) (+.f32 n1_i n1_i))) 2)
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) 4)) 4)
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) 4))) 8)
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (*.f32 normAngle 1/6)) 4)))) 16)
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) 4)))) (.f32 2 (.f32 2 (.f32 (.f32 (sin.f32 (.f32 normAngle u)) n1_i) (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) 4))))) 32)
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
(pow.f32 (.f32 (+.f32 (/.f32 1 normAngle) (.f32 normAngle 1/6)) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)) 1)
(.f32 (.f32 n1_i (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (sin.f32 (.f32 u normAngle)))
(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))

eval195.0ms (0.8%)

Compiler: Compiled 14316 to 7735 computations (46% saved)

prune289.0ms (1.1%)

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	693	8	701
Fresh	5	12	17
Picked	1	0	1
Done	2	5	7
Total	701	25	726

Error

Counts

726 → 25

Alt Table

Click to see full alt table

Status	Error	Program
	7.1b	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓	20.1b	(/.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (sin.f32 normAngle))
	0.5b	(+.f32 (+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i)) (.f32 (.f32 u (*.f32 n0_i 1/3)) (pow.f32 normAngle 2)))
	2.6b	(+.f32 (.f32 (-.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i) u) n0_i)
	0.5b	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	3.8b	(+.f32 (.f32 (-.f32 1 u) n0_i) (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))
	6.0b	(+.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle))) n0_i)
	6.1b	(+.f32 (.f32 n1_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 u normAngle))) n0_i)
✓	0.5b	(+.f32 (.f32 n1_i u) (+.f32 n0_i (.f32 u (neg.f32 n0_i))))
✓	0.6b	(+.f32 (.f32 n1_i u) (.f32 (-.f32 1 u) n0_i))
	5.7b	(+.f32 (*.f32 n1_i u) n0_i)
	0.5b	(+.f32 (.f32 -1 (.f32 u n0_i)) (+.f32 (*.f32 n1_i u) n0_i))
	5.7b	(+.f32 n0_i (/.f32 normAngle (/.f32 (/.f32 normAngle u) n1_i)))
	4.7b	(+.f32 n0_i (.f32 (+.f32 (/.f32 (.f32 (sin.f32 normAngle) (/.f32 2 n1_i)) (.f32 (.f32 (sin.f32 normAngle) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) n1_i)) (/.f32 2 normAngle))) (neg.f32 n0_i)) u))
	8.5b	(+.f32 n0_i (.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (.f32 u normAngle))))
	6.1b	(+.f32 n0_i (.f32 (+.f32 (.f32 (.f32 u normAngle) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))) (.f32 -1/6 (.f32 (pow.f32 (.f32 u normAngle) 3) (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle))))) n1_i))
	5.6b	(+.f32 n0_i (.f32 (.f32 u (.f32 normAngle (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)))) n1_i))
	14.4b	(+.f32 n0_i (*.f32 (neg.f32 n0_i) u))
	7.3b	(.f32 (/.f32 1 (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) n0_i) (.f32 n1_i (*.f32 u normAngle))))
✓	14.5b	(*.f32 (-.f32 1 u) n0_i)
	20.2b	(.f32 (+.f32 (/.f32 1 normAngle) (.f32 1/6 normAngle)) (.f32 n1_i (sin.f32 (.f32 u normAngle))))
	18.7b	(*.f32 u (+.f32 n1_i (neg.f32 n0_i)))
✓	18.2b	(*.f32 u n1_i)
	14.4b	(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (sin.f32 normAngle)))
	18.1b	n0_i

Compiler

Compiled 401 to 272 computations (32.2% saved)

regimes251.0ms (1%)

Counts

61 → 1

Calls

Call 1

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

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

Calls

5 calls:

82.0ms	(+.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))
78.0ms	n0_i
25.0ms	n1_i
24.0ms	u
24.0ms	normAngle

Results

Error	Segments	Branch
0.3b	1	`normAngle`
0.3b	1	`u`
0.3b	1	`n0_i`
0.3b	1	`n1_i`
0.3b	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 1 u) normAngle)) (/.f32 1 (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 1 (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 964 to 464 computations (51.9% saved)

regimes53.0ms (0.2%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

13.0ms	n0_i
12.0ms	u
12.0ms	n1_i
12.0ms	normAngle

Results

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

Compiler

Compiled 260 to 116 computations (55.4% saved)

regimes27.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

4 calls:

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

Results

Error	Segments	Branch
5.7b	1	`normAngle`
5.7b	1	`u`
5.7b	1	`n0_i`
3.6b	3	`n1_i`

Compiler

Compiled 50 to 31 computations (38% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.6594219623794317e-31	3.0011623853470977e-31
0.0ms	-4.2337136108591295e-23	-2.412136750812471e-23

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes25.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

4 calls:

11.0ms	n1_i
5.0ms	normAngle
4.0ms	u
4.0ms	n0_i

Results

Error	Segments	Branch
5.7b	1	`normAngle`
5.7b	1	`u`
5.7b	1	`n0_i`
3.6b	3	`n1_i`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	2.6594219623794317e-31	3.0011623853470977e-31
0.0ms	-4.2337136108591295e-23	-2.412136750812471e-23

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes105.0ms (0.4%)

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:

85.0ms	n1_i
12.0ms	n0_i
4.0ms	u
3.0ms	normAngle

Results

Error	Segments	Branch
14.5b	1	`normAngle`
14.5b	1	`u`
8.4b	3	`n0_i`
9.3b	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	4.81073138521139e-21	6.624443623888244e-21
0.0ms	-4.620639122465358e-27	-6.075682084344831e-28

Compiler

Compiled 36 to 26 computations (27.8% saved)

regimes29.0ms (0.1%)

Accuracy

Total -17.3b remaining (-150%)

Threshold costs -17.3b (-150%)

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:

11.0ms	n1_i
9.0ms	n0_i
5.0ms	u
3.0ms	normAngle

Results

Error	Segments	Branch
18.1b	1	`normAngle`
15.1b	2	`u`
11.5b	3	`n0_i`
12.3b	3	`n1_i`

Compiler

Compiled 28 to 21 computations (25% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
0.0ms	1.0258891156740682e-16	7.174555939887912e-16
0.0ms	-4.620639122465358e-27	-6.075682084344831e-28

Compiler

Compiled 36 to 26 computations (27.8% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	255

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 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -6338253/158456325028528675187087900672) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 12760589/42535295865117307932921825928971026432) (+.f32 n0_i (.f32 (neg.f32 n0_i) u)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -6338253/158456325028528675187087900672) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 12760589/42535295865117307932921825928971026432) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -5192297/1298074214633706907132624082305024) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 1547425/309485009821345068724781056) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -5192297/1298074214633706907132624082305024) n0_i (if (<=.f32 n0_i 15111573/75557863725914323419136) (*.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 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(if (<=.f32 n1_i -6338253/158456325028528675187087900672) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 12760589/42535295865117307932921825928971026432) (+.f32 n0_i (.f32 (neg.f32 n0_i) u)) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n1_i -6338253/158456325028528675187087900672) (+.f32 (.f32 n1_i u) n0_i) (if (<=.f32 n1_i 12760589/42535295865117307932921825928971026432) (.f32 (-.f32 1 u) n0_i) (+.f32 (*.f32 n1_i u) n0_i)))
(if (<=.f32 n0_i -5192297/1298074214633706907132624082305024) (.f32 (-.f32 1 u) n0_i) (if (<=.f32 n0_i 1547425/309485009821345068724781056) (.f32 u n1_i) (*.f32 (-.f32 1 u) n0_i)))
(if (<=.f32 n0_i -5192297/1298074214633706907132624082305024) n0_i (if (<=.f32 n0_i 15111573/75557863725914323419136) (*.f32 u n1_i) n0_i))
n0_i

Compiler

Compiled 130 to 80 computations (38.5% saved)

soundness269.0ms (1%)

Algorithm

2×	egg-herbie

Rules

2224×	`rational.json-simplify-1`
1470×	`rational.json-simplify-35`
1336×	`rational.json-simplify-26`
1224×	`rational.json-simplify-2`
1198×	`rational.json-simplify-1`

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	114	3205
1	260	3141
2	535	3099
3	1053	3075
4	2125	3041
5	3706	3041
6	3974	3041
7	4273	3041
8	5164	3041
9	5995	3041
10	7332	3041

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 227 to 118 computations (48% saved)

end43.0ms (0.2%)

Compiler: Compiled 106 to 52 computations (50.9% saved)