Metrics for Curve intersection, scale width based on ribbon orientation

start0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated

analyze558.0ms (5%)

Memory

-32.1MiB live, 411.6MiB allocated

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
16.7%	0.1%	0.5%	99.2%	0%	0.2%	0%	6
25%	0.1%	0.4%	99.2%	0%	0.2%	0%	7
25%	0.1%	0.4%	99.2%	0%	0.2%	0%	8
25%	0.1%	0.4%	99.2%	0%	0.2%	0%	9
45%	0.2%	0.3%	99.2%	0%	0.3%	0%	10
52.5%	0.3%	0.2%	99.2%	0%	0.3%	0%	11
52.5%	0.3%	0.2%	99.2%	0%	0.3%	0%	12

Compiler

Compiled 59 to 39 computations (33.9% saved)

sample3.3s (29.6%)

Memory

137.2MiB live, 4 719.7MiB allocated

Samples

1.8s	8 256×	0	valid
661.0ms	2 131×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 1.9s

ival-sin: 530.0ms (27.4% of total)

ival-mult: 408.0ms (21.1% of total)

ival-<=: 340.0ms (17.6% of total)

const: 211.0ms (10.9% of total)

ival-div: 164.0ms (8.5% of total)

ival-add: 78.0ms (4% of total)

ival-sub: 63.0ms (3.3% of total)

ival-and: 57.0ms (2.9% of total)

ival-pi: 51.0ms (2.6% of total)

exact: 26.0ms (1.3% of total)

ival-assert: 4.0ms (0.2% of total)

Bogosity

explain232.0ms (2.1%)

Memory

-37.0MiB live, 436.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
19	-	18	(7.022216280481886e-36 8.57604032233894e-9 -2.667715561537373e-37 1.0687098721175875e-13)	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)`
0	-	0	-	`(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))`
0	-	0	-	`(*.f32 u normAngle)`
0	-	0	-	`n1_i`
0	-	0	-	`(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)`
0	-	0	-	`n0_i`
0	-	0	-	`normAngle`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u)`
0	-	0	-	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(sin.f32 (*.f32 u normAngle))`
0	-	0	-	`u`
0	-	0	-	`(sin.f32 normAngle)`
0	-	0	-	`(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f32`	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	0	8
-	1	247

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	8
-	1	0	247

Precision?

0.0

Recall?

0.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	0
-	0	0	0

Precision?

1.0

Recall?

1.0

Samples

66.0ms	498×	0	valid
3.0ms	14×	1	valid

Compiler

Compiled 332 to 72 computations (78.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 43.0ms

ival-mult: 21.0ms (48.4% of total)

ival-sin: 12.0ms (27.7% of total)

ival-div: 4.0ms (9.2% of total)

ival-sub: 3.0ms (6.9% of total)

ival-add: 2.0ms (4.6% of total)

ival-true: 1.0ms (2.3% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

preprocess116.0ms (1%)

Memory

9.0MiB live, 89.6MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	368
1	279	300
2	741	283
3	1977	255
4	3516	252
5	6491	252
0	17	25
0	29	25
1	48	21
2	88	20
3	156	18
4	203	18
5	238	18
6	282	18
7	367	18
8	510	18
9	609	18
10	735	18
11	1173	18
12	1886	18
13	2293	18
14	2312	18
15	2313	18
16	2313	18
0	2313	17

Stop Event

1×	iter limit
1×	saturated
1×	iter limit
1×	node limit

Calls

Call 1

Inputs

(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Outputs
(/.f32 (fma.f32 n1_i (sin.f32 (.f32 normAngle u)) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))

Symmetry

(abs normAngle)

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

Memory: 0.3MiB live, 0.3MiB allocated
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Status

Accuracy

Program

▶

97.6%

(+.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (*.f32 (*.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Compiler

Compiled 25 to 17 computations (32% saved)

simplify57.0ms (0.5%)

Memory

-3.7MiB live, 35.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	3616	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	101
0	29	101
1	48	89
2	88	88
3	156	86
4	203	86
5	238	86
6	282	86
7	367	86
8	510	86
9	609	86
10	735	86
11	1173	86
12	1886	86
13	2293	86
14	2312	86
15	2313	86
16	2313	86
0	2313	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i

Outputs
(/.f32 (fma.f32 n1_i (sin.f32 (.f32 normAngle u)) (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
n1_i

localize44.0ms (0.4%)

Memory

6.5MiB live, 84.2MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.16796875	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy	0.1953125	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy	0.4248237793053261	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy	1.2313026406623189	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

30.0ms	249×	0	valid
2.0ms	7×	1	valid

Compiler

Compiled 204 to 36 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 11.0ms (50.1% of total)

ival-sin: 6.0ms (27.3% of total)

ival-div: 2.0ms (9.1% of total)

ival-add: 1.0ms (4.6% of total)

ival-sub: 1.0ms (4.6% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series103.0ms (0.9%)

Memory

-9.3MiB live, 82.0MiB allocated

Counts

5 → 156

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf normAngle) (#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf normAngle) (#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
57.0ms	normAngle	@	0	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
13.0ms	n0_i	@	inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
5.0ms	normAngle	@	inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
4.0ms	u	@	inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
3.0ms	n0_i	@	0	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))

simplify332.0ms (3%)

Memory

-15.2MiB live, 215.2MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	2815
1	987	2714
2	3392	2654
0	8125	2540

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

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

Outputs
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
n0_i
(fma.f32 (-.f32 (.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(fma.f32 (fma.f32 n0_i (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) u n0_i)
(fma.f32 (-.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) n0_i) (.f32 (cos.f32 normAngle) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (/.f32 (.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u)) u (.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i)) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
#s(literal 1 binary32)
(fma.f32 (*.f32 (cos.f32 normAngle) (/.f32 u (sin.f32 normAngle))) (neg.f32 normAngle) #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32))) u) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(.f32 (fma.f32 (.f32 (*.f32 u u) #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) u)
(.f32 (fma.f32 (fma.f32 (.f32 (.f32 u u) #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u)
(fma.f32 (/.f32 u (sin.f32 normAngle)) normAngle (.f32 (pow.f32 u #s(literal 3 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (.f32 u (/.f32 u (sin.f32 normAngle))) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (sin.f32 normAngle))) (.f32 u u) (/.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle)))))
n0_i
(fma.f32 (.f32 (.f32 (neg.f32 normAngle) (cos.f32 normAngle)) u) (/.f32 n0_i (sin.f32 normAngle)) n0_i)
(fma.f32 (.f32 n0_i (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))))) u n0_i)
(fma.f32 (-.f32 (.f32 (.f32 n0_i (fma.f32 (/.f32 (.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)) #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))) u) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
normAngle
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (neg.f32 u) normAngle)
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (neg.f32 u) normAngle)
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(*.f32 (-.f32 (/.f32 normAngle u) normAngle) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) normAngle) normAngle (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u)))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (.f32 (-.f32 (.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u)) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u)))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (.f32 (-.f32 (fma.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)) #s(literal 1/120 binary32) (.f32 (-.f32 (.f32 (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i)) #s(literal -1/5040 binary32)) (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (.f32 #s(literal -1/36 binary32) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (fma.f32 (.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/36 binary32) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u)))))) (.f32 normAngle normAngle))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u)) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u)))
(-.f32 #s(literal 1 binary32) u)
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u))
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) (.f32 normAngle normAngle))) (.f32 normAngle normAngle) #s(literal 1 binary32)) u)
(-.f32 (fma.f32 (fma.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (.f32 normAngle normAngle))) (.f32 normAngle normAngle) #s(literal 1 binary32)) u)
u
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (.f32 normAngle normAngle))) (.f32 normAngle normAngle) u)
(fma.f32 (fma.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) u) #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 (.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) (.f32 #s(literal -1/5040 binary32) u)))) (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u) (.f32 #s(literal -1/36 binary32) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)))) (.f32 normAngle normAngle))) (.f32 normAngle normAngle) u)
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/36 binary32) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) (.f32 normAngle normAngle))) (.f32 normAngle normAngle) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (fma.f32 (-.f32 (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) #s(literal -1/5040 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/36 binary32) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #s(literal -1/5040 binary32))))) (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal 1/120 binary32) n0_i) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/36 binary32) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (.f32 normAngle normAngle))) (.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)

rewrite224.0ms (2%)

Memory

18.5MiB live, 256.8MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	29	53
1	83	53
2	469	52
3	4845	52
0	8489	51

Stop Event

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

Counts

5 → 240

Calls

Call 1

Inputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)

Outputs
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eval70.0ms (0.6%)

Memory: -26.1MiB live, 136.8MiB allocated
Compiler: Compiled 15 844 to 1 091 computations (93.1% saved)

prune29.0ms (0.3%)

Memory

13.8MiB live, 53.2MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	375	17	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	376	17	393

Accuracy

99.9%

Counts

393 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	63.4%	(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32))) (/.f32 (-.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)))
	63.3%	(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (-.f32 (pow.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))))
▶	81.0%	(+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.8%	(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	80.9%	(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.8%	(+.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u))) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
▶	54.9%	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.7%	(+.f32 (.f32 (.f32 (sin.f32 (+.f32 (.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.8%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i))
	97.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i))
▶	98.8%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
▶	97.7%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	81.0%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	42.0%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (.f32 normAngle u)) (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))
▶	39.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
	59.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
	39.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))

Compiler

Compiled 1 016 to 690 computations (32.1% saved)

simplify328.0ms (2.9%)

Memory

-2.9MiB live, 113.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	160	(.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	3616	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
cost-diff	0	(.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
cost-diff	0	(/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	3616	(+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
cost-diff	0	#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
cost-diff	0	(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
cost-diff	64	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	0	(*.f32 n1_i u)
cost-diff	0	(-.f32 #s(literal 1 binary32) u)
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff	160	(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff	64	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	542
0	90	544
1	141	496
2	225	493
3	376	487
4	637	487
5	972	485
6	1359	485
7	2308	485
8	3235	485
9	3868	485
10	4423	485
11	5062	485
12	5475	485
13	6126	485
14	6329	485
15	6374	485
16	6382	485
17	6385	485
18	6387	485
19	6389	485
20	6389	485
21	6389	485
22	6457	485
23	6503	485
24	6503	485
25	6503	485
0	6503	478

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

Inputs
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 n1_i u)
n1_i
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
(.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
n0_i
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(sin.f32 normAngle)
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
n1_i
(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)
(-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u #s(literal 3 binary32))
u
#s(literal 3 binary32)
normAngle
(+.f32 (fma.f32 u u u) #s(literal 1 binary32))
(fma.f32 u u u)
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
n1_i

Outputs
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(*.f32 n1_i u)
n1_i
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u)) (.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i))
(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i
(/.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) n1_i (.f32 n0_i (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
n0_i
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(sin.f32 normAngle)
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
n1_i
(/.f32 (fma.f32 (sin.f32 (.f32 (/.f32 normAngle (-.f32 (fma.f32 u u u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) n0_i (.f32 (sin.f32 (*.f32 normAngle u)) n1_i)) (sin.f32 normAngle))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (/.f32 normAngle (-.f32 (fma.f32 u u u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))))
(/.f32 (sin.f32 (*.f32 (/.f32 normAngle (-.f32 (fma.f32 u u u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (sin.f32 normAngle))
(sin.f32 (*.f32 (/.f32 normAngle (-.f32 (fma.f32 u u u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))))
(*.f32 (/.f32 normAngle (-.f32 (fma.f32 u u u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)
(-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u #s(literal 3 binary32))
u
#s(literal 3 binary32)
normAngle
(-.f32 (fma.f32 u u u) #s(literal -1 binary32))
(fma.f32 u u u)
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n0_i
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u)))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
n1_i

localize151.0ms (1.4%)

Memory

-1.6MiB live, 276.4MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.3046875	(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
accuracy	0.4248237793053261	(.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy	1.2313026406623189	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy	28.529876288488218	(fma.f32 u u u)
accuracy	0.08203125	(.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
accuracy	0.1953125	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy	1.2313026406623189	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy	11.06352822527452	(/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
accuracy	0.08203125	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
accuracy	0.16796875	(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
accuracy	0.2787623361633829	#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
accuracy	1.2313026406623189	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy	0	(-.f32 #s(literal 1 binary32) u)
accuracy	0	(*.f32 n1_i u)
accuracy	0.4367478105747222	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
accuracy	19.701346467417263	(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
accuracy	0.16414220979774002	#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
accuracy	0.16796875	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy	0.1953125	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy	0.4248237793053261	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

94.0ms	249×	0	valid
4.0ms	7×	1	valid

Compiler

Compiled 1 052 to 93 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-mult: 21.0ms (36.2% of total)

ival-sin: 18.0ms (31% of total)

ival-div: 6.0ms (10.3% of total)

ival-add: 6.0ms (10.3% of total)

ival-sub: 3.0ms (5.2% of total)

ival-pow: 2.0ms (3.4% of total)

adjust: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series194.0ms (1.7%)

Memory

36.1MiB live, 146.2MiB allocated

Counts

22 → 696

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) u) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 n1_i u) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 u u u) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32))) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor inf n1_i) (#s(alt #<batchref> (patch (+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (*.f32 n1_i u) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (*.f32 n1_i u) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (*.f32 n1_i u) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (*.f32 n1_i u) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
101.0ms	u	@	inf	((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* u u) u) (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1)))
10.0ms	normAngle	@	inf	((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* u u) u) (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1)))
8.0ms	normAngle	@	0	((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* u u) u) (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1)))
6.0ms	n1_i	@	0	((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* u u) u) (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1)))
5.0ms	n0_i	@	0	((* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- 1 u) (* n1_i u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* n0_i (sin (* (- 1 u) normAngle))) (+ (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) (* (* (sin (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1))) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* u u) u) (/ (* (- 1 (pow u 3)) normAngle) (+ (+ (* u u) u) 1)))

simplify252.0ms (2.3%)

Memory

-18.1MiB live, 291.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	696	14767
1	2285	13905
0	8100	13175

Stop Event

1×	iter limit
1×	node limit

Counts

696 → 681

Calls

Call 1

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

Outputs
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 n1_i u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
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(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(.f32 (fma.f32 (.f32 (*.f32 u u) #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) u)
(.f32 (fma.f32 (fma.f32 (.f32 (.f32 u u) #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u)
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (.f32 u (/.f32 u (sin.f32 normAngle))) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (sin.f32 normAngle))) (.f32 u u) (/.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (pow.f32 u #s(literal 3 binary32)) (.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
n0_i
(fma.f32 (fma.f32 (neg.f32 n0_i) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u n0_i)
(fma.f32 (fma.f32 (.f32 u (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle) (fma.f32 (neg.f32 n0_i) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) u n0_i)
(fma.f32 (-.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) n0_i) (.f32 (cos.f32 normAngle) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (/.f32 (.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u)) u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
n0_i
(fma.f32 (neg.f32 n0_i) (.f32 (.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) u) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(fma.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (.f32 (.f32 #s(literal 1/6 binary32) n0_i) (/.f32 (.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)))) u) (.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
#s(literal 1 binary32)
(fma.f32 (neg.f32 u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) normAngle) normAngle (.f32 (.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (/.f32 #s(literal 1/6 binary32) (sin.f32 normAngle)))) u) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
n0_i
(fma.f32 (fma.f32 (neg.f32 n0_i) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u n0_i)
(fma.f32 (fma.f32 (.f32 u (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle) (fma.f32 (neg.f32 n0_i) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) u n0_i)
(fma.f32 (-.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) n0_i) (.f32 (cos.f32 normAngle) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle))) (/.f32 (.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i) #s(literal -1/6 binary32)) (sin.f32 normAngle))) u)) u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
n0_i
(fma.f32 (neg.f32 n0_i) (.f32 (.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 (-.f32 (.f32 (.f32 (.f32 (.f32 normAngle normAngle) n0_i) #s(literal -1/2 binary32)) u) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(fma.f32 (-.f32 (.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (.f32 (.f32 #s(literal 1/6 binary32) n0_i) (/.f32 (.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) u) (cos.f32 normAngle)) (sin.f32 normAngle)))) u) (.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(*.f32 (sin.f32 normAngle) n0_i)
(-.f32 (.f32 (sin.f32 normAngle) n0_i) (.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i) u))
(fma.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) n0_i) (.f32 (.f32 (.f32 (sin.f32 normAngle) u) normAngle) normAngle) (.f32 (.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (*.f32 (sin.f32 normAngle) n0_i))
(fma.f32 (fma.f32 (fma.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 (.f32 (sin.f32 normAngle) normAngle) normAngle) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32)))) (.f32 (cos.f32 normAngle) u))) u (.f32 (.f32 (neg.f32 n0_i) normAngle) (cos.f32 normAngle))) u (.f32 (sin.f32 normAngle) n0_i))
n0_i
(fma.f32 (fma.f32 (neg.f32 n0_i) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u n0_i)
(fma.f32 (-.f32 (fma.f32 (.f32 n0_i u) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (.f32 normAngle normAngle) (.f32 #s(literal 0 binary32) (cos.f32 normAngle))) (sin.f32 normAngle)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(fma.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) n1_i) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (.f32 (fma.f32 #s(literal 0 binary32) (sin.f32 normAngle) (.f32 (fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (cos.f32 normAngle))) (/.f32 n0_i (sin.f32 normAngle)))) u (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (.f32 normAngle normAngle) (.f32 #s(literal 0 binary32) (cos.f32 normAngle))) (/.f32 n0_i (sin.f32 normAngle)))) u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
#s(literal 1 binary32)
(fma.f32 (neg.f32 u) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) normAngle) normAngle (.f32 (cos.f32 normAngle) (/.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) u) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
(fma.f32 (-.f32 (.f32 (fma.f32 (fma.f32 (fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) #s(literal 0 binary32)) u (fma.f32 (.f32 #s(literal -1/2 binary32) normAngle) normAngle (.f32 (cos.f32 normAngle) (/.f32 #s(literal 0 binary32) (sin.f32 normAngle))))) u) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle)))) u #s(literal 1 binary32))
n0_i
(fma.f32 (neg.f32 n0_i) (.f32 (.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 (-.f32 (/.f32 (.f32 (.f32 n0_i u) (fma.f32 (.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (.f32 normAngle normAngle) (.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (sin.f32 normAngle)) (.f32 (*.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
(fma.f32 (-.f32 (.f32 (.f32 n0_i (fma.f32 (fma.f32 #s(literal 0 binary32) (sin.f32 normAngle) (.f32 (fma.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal 1/6 binary32) #s(literal 0 binary32)) (cos.f32 normAngle))) (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (.f32 #s(literal -1/2 binary32) (sin.f32 normAngle)) (.f32 normAngle normAngle) (.f32 #s(literal 0 binary32) (cos.f32 normAngle))) (sin.f32 normAngle)))) u) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))) u n0_i)
normAngle
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(.f32 (fma.f32 (.f32 (*.f32 u u) #s(literal -1/6 binary32)) (/.f32 (pow.f32 normAngle #s(literal 3 binary32)) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) u)
(.f32 (fma.f32 (fma.f32 (.f32 (.f32 u u) #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (*.f32 u u) (/.f32 normAngle (sin.f32 normAngle))) u)
(fma.f32 (fma.f32 (fma.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (.f32 u (/.f32 u (sin.f32 normAngle))) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) #s(literal 1/120 binary32)) (sin.f32 normAngle))) (.f32 u u) (/.f32 (.f32 (pow.f32 normAngle #s(literal 3 binary32)) #s(literal -1/6 binary32)) (sin.f32 normAngle))) (pow.f32 u #s(literal 3 binary32)) (.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
u
(fma.f32 u u u)
(fma.f32 u u u)
(fma.f32 u u u)
normAngle
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 (-.f32 (*.f32 #s(literal 0 binary32) u) normAngle) u normAngle)
(fma.f32 (-.f32 (*.f32 (fma.f32 #s(literal 0 binary32) u #s(literal 0 binary32)) u) normAngle) u normAngle)
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 n1_i n0_i) u)
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(neg.f32 u)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
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(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
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(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
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(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
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(/.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) (sin.f32 normAngle))
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(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (neg.f32 (fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) (/.f32 n0_i (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))) (neg.f32 n1_i))
(.f32 (neg.f32 (fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) (/.f32 n0_i (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))) (neg.f32 n1_i))
(.f32 (neg.f32 (fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 normAngle (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))) (/.f32 n0_i (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))) (neg.f32 n1_i))

rewrite300.0ms (2.7%)

Memory

10.0MiB live, 320.5MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	53	337
0	90	267
1	282	267
2	1874	267
0	8562	262

Stop Event

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

Counts

22 → 651

Calls

Call 1

Inputs
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(-.f32 #s(literal 1 binary32) u)
(*.f32 n1_i u)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle))
(.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(fma.f32 u u u)
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))

Outputs
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eval253.0ms (2.3%)

Memory: -6.7MiB live, 338.6MiB allocated
Compiler: Compiled 74 945 to 3 410 computations (95.4% saved)

prune95.0ms (0.9%)

Memory

-16.9MiB live, 182.9MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 666	24	1 690
Fresh	11	1	12
Picked	3	2	5
Done	0	0	0
Total	1 680	27	1 707

Accuracy

100.0%

Counts

1 707 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.7%	(fma.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i))
	76.1%	(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i) #s(literal 2 binary32)) (pow.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(literal 2 binary32))) (-.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)))
	81.1%	(+.f32 (/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 normAngle #s(literal 1 binary32)) (.f32 normAngle (neg.f32 u))))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	29.3%	(+.f32 (/.f32 (.f32 n0_i #s(approx (sin ( (- 1 u) normAngle)) (.f32 (-.f32 (fma.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.9%	(+.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i))
	97.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i))
▶	98.9%	(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
	97.5%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	97.7%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	38.8%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i))
	98.8%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
▶	97.4%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	82.0%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
	59.2%	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
	39.2%	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
▶	8.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)))
✓	39.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
	75.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (-.f32 (pow.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (.f32 n1_i u) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))
	46.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
	97.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) u) n0_i) n1_i) u) (neg.f32 n1_i))))
	37.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
	59.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
	97.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
▶	97.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
	98.0%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 n0_i) (-.f32 (+.f32 #s(literal -1 binary32) u) (/.f32 (.f32 n1_i u) n0_i)))))
▶	39.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))

Compiler

Compiled 2 007 to 1 278 computations (36.3% saved)

simplify128.0ms (1.1%)

Memory

32.8MiB live, 143.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i)
cost-diff	64	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	512	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
cost-diff	0	(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)))
cost-diff	64	(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))
cost-diff	160	(*.f32 (neg.f32 u) #s(literal 1 binary32))
cost-diff	0	(neg.f32 u)
cost-diff	0	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
cost-diff	480	(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
cost-diff	0	(*.f32 n1_i u)
cost-diff	0	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
cost-diff	0	(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
cost-diff	0	(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
cost-diff	0	(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
cost-diff	64	(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	528
0	99	512
1	175	477
2	322	454
3	877	438
4	2348	435
5	4007	435
6	5423	435
7	7074	435
0	8029	423

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
normAngle
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)
(.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))
(*.f32 n1_i u)
n1_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
(neg.f32 u)
u
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
(-.f32 n0_i n1_i)
n0_i
n1_i
(/.f32 n0_i u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))
(-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u #s(literal 3 binary32))
u
#s(literal 3 binary32)
(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))
(*.f32 (neg.f32 u) #s(literal 1 binary32))
(neg.f32 u)
n0_i
(*.f32 n1_i u)
n1_i
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)))
#s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
(-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i

Outputs
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
normAngle
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)
(.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))
(*.f32 n1_i u)
n1_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(neg.f32 u)
u
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 n0_i n1_i)
n0_i
n1_i
(/.f32 n0_i u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 n0_i (-.f32 #s(literal -1 binary32) (fma.f32 u u u))) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 n1_i u)))
(fma.f32 (/.f32 n0_i (-.f32 #s(literal -1 binary32) (fma.f32 u u u))) (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (*.f32 n1_i u))
(/.f32 (-.f32 (pow.f32 u #s(literal 3 binary32)) #s(literal 1 binary32)) (-.f32 #s(literal -1 binary32) (fma.f32 u u u)))
(-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))
#s(literal 1 binary32)
(pow.f32 u #s(literal 3 binary32))
u
#s(literal 3 binary32)
(fma.f32 (-.f32 u #s(literal -1 binary32)) u #s(literal 1 binary32))
(-.f32 u #s(literal -1 binary32))
(neg.f32 u)
(neg.f32 u)
n0_i
(*.f32 n1_i u)
n1_i
(fma.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i (.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle))))
(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u)))
#s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
(/.f32 (-.f32 #s(literal 1 binary32) u) u)
(/.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
normAngle
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i

localize221.0ms (2%)

Memory

-18.9MiB live, 416.6MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.15234375	(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i)
accuracy	0.2631373361633829	#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)))
accuracy	0.3125	(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
accuracy	1.2094863808938767	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy	0.35546875	(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))
accuracy	0.4367478105747222	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)))
accuracy	18.877360613325656	(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u))
accuracy	26.436988557986318	(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))
accuracy	0	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))
accuracy	0.150722509768442	(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
accuracy	0.203125	(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
accuracy	0.4367478105747222	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
accuracy	0	(*.f32 n1_i u)
accuracy	0.4367478105747222	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
accuracy	18.532137578527262	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))
accuracy	0.078125	(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
accuracy	0.16414220979774002	#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
accuracy	0.19140625	(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy	0.28125	(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))

Samples

123.0ms	246×	0	valid
14.0ms	10×	5	exit

Compiler

Compiled 926 to 110 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 86.0ms

ival-mult: 43.0ms (50% of total)

ival-div: 11.0ms (12.8% of total)

ival-sub: 10.0ms (11.6% of total)

ival-sin: 8.0ms (9.3% of total)

ival-add: 6.0ms (7% of total)

adjust: 4.0ms (4.6% of total)

ival-pow: 2.0ms (2.3% of total)

ival-neg: 1.0ms (1.2% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series231.0ms (2.1%)

Memory

10.3MiB live, 204.6MiB allocated

Counts

24 → 708

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 n1_i u) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (neg.f32 u) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (neg.f32 u) #s(literal 1 binary32)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
109.0ms	u	@	inf	((+ (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (neg u) (* (neg u) 1) (- 1 (* (neg u) 1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (* (- (/ 1 u) 1) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (+ (* u u) (- 1 (* (neg u) 1))) (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))
49.0ms	n1_i	@	-inf	((+ (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (neg u) (* (neg u) 1) (- 1 (* (neg u) 1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (* (- (/ 1 u) 1) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (+ (* u u) (- 1 (* (neg u) 1))) (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))
4.0ms	u	@	-inf	((+ (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (neg u) (* (neg u) 1) (- 1 (* (neg u) 1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (* (- (/ 1 u) 1) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (+ (* u u) (- 1 (* (neg u) 1))) (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))
4.0ms	n0_i	@	inf	((+ (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (neg u) (* (neg u) 1) (- 1 (* (neg u) 1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (* (- (/ 1 u) 1) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (+ (* u u) (- 1 (* (neg u) 1))) (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))
4.0ms	n0_i	@	-inf	((+ (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle (- 1 u))) (/ n0_i (sin normAngle))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* n1_i u) (* (neg u) (- (- n0_i n1_i) (/ n0_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (neg u) (* (neg u) 1) (- 1 (* (neg u) 1)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (* (- (/ 1 u) 1) u) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (- n0_i n1_i) (/ n0_i u)) (+ (* u u) (- 1 (* (neg u) 1))) (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))))

simplify201.0ms (1.8%)

Memory

-14.2MiB live, 288.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	549	11352
1	1793	10712
2	6139	10712
0	8208	10079

Stop Event

1×	iter limit
1×	node limit

Counts

708 → 692

Calls

Call 1

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

Outputs
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 n1_i u)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(*.f32 n1_i u)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 n1_i u)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 n1_i u)
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(neg.f32 n1_i)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 n0_i (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)))
(*.f32 (fma.f32 (/.f32 u n0_i) n1_i (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u #s(literal 1 binary32)) u))) n0_i)
(*.f32 (fma.f32 (/.f32 u n0_i) n1_i (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u #s(literal 1 binary32)) u))) n0_i)
(*.f32 (fma.f32 (/.f32 u n0_i) n1_i (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u #s(literal 1 binary32)) u))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(-.f32 n0_i (/.f32 n0_i u))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (/.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (/.f32 #s(literal 1 binary32) u)) n0_i)
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)) (/.f32 #s(literal 1 binary32) u)) n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle))) n0_i)
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(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (/.f32 n0_i (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) n0_i (*.f32 n1_i u))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(-.f32 n0_i (/.f32 n0_i u))
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(*.f32 n1_i u)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(*.f32 n1_i u)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(*.f32 n1_i u)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) u) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(neg.f32 n1_i)
(*.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)
(*.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)
(*.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(*.f32 n1_i u)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 n1_i u)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(*.f32 n1_i u)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(*.f32 n1_i u)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) n1_i) (/.f32 n0_i (+.f32 (fma.f32 u u #s(literal 1 binary32)) u)) u) n1_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i)
(neg.f32 n1_i)
(fma.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) n1_i (neg.f32 n1_i))
(fma.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) n1_i (neg.f32 n1_i))
(fma.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) n1_i (neg.f32 n1_i))

rewrite223.0ms (2%)

Memory

9.4MiB live, 321.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	409
0	99	359
1	352	331
2	2656	319
0	8754	314

Stop Event

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

Counts

24 → 547

Calls

Call 1

Inputs
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u))
(*.f32 n1_i u)
(*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))
(neg.f32 u)
(*.f32 (neg.f32 u) #s(literal 1 binary32))
(-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)))
(fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
(fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (*.f32 (neg.f32 u) #s(literal 1 binary32)))))
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u)))

Outputs
#<batchref>
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eval194.0ms (1.7%)

Memory: -2.9MiB live, 272.4MiB allocated
Compiler: Compiled 64 710 to 3 067 computations (95.3% saved)

prune89.0ms (0.8%)

Memory

1.6MiB live, 204.7MiB allocated

Pruning

31 alts after pruning (25 fresh and 6 done)

	Pruned	Kept	Total
New	1 273	13	1 286
Fresh	8	12	20
Picked	1	4	5
Done	0	2	2
Total	1 282	31	1 313

Accuracy

100.0%

Counts

1 313 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
	36.5%	(fma.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i))
	76.1%	(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) #s(literal 2 binary32)) (pow.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32))) (-.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i)))
	29.4%	(+.f32 (/.f32 (.f32 n0_i #s(approx (sin ( (- 1 u) normAngle)) (.f32 (-.f32 (fma.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.9%	(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i))
	97.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i))
✓	98.9%	(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
✓	97.7%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	39.5%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i))
▶	98.8%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
	98.5%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
	82.0%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
▶	59.2%	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
	39.2%	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
✓	8.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)))
	46.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
✓	39.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 n1_i u)))
	37.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 (-.f32 n0_i n1_i) (neg.f32 u)) (.f32 (/.f32 (neg.f32 n0_i) u) (neg.f32 u)))))
▶	97.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
	97.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) u) n0_i) n1_i) u) (neg.f32 n1_i))))
▶	59.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
▶	97.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
	77.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 u) (/.f32 (-.f32 (.f32 (.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) u) (.f32 (+.f32 n1_i n0_i) n0_i)) (*.f32 (+.f32 n1_i n0_i) u)))))
✓	97.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
	97.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i)))))
	46.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (neg.f32 n0_i) u)))))
	58.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (-.f32 n0_i (/.f32 n0_i u))))))
	97.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)))))
	98.0%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 n0_i) (-.f32 (+.f32 #s(literal -1 binary32) u) (/.f32 (.f32 n1_i u) n0_i)))))
✓	39.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))

Compiler

Compiled 2 406 to 1 475 computations (38.7% saved)

simplify114.0ms (1%)

Memory

36.9MiB live, 185.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff	0	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
cost-diff	0	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
cost-diff	32	(-.f32 #s(literal 0 binary32) (*.f32 u u))
cost-diff	96	(+.f32 #s(literal 0 binary32) u)
cost-diff	480	(.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
cost-diff	512	(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u u)) (+.f32 #s(literal 0 binary32) u))
cost-diff	0	(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)
cost-diff	0	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
cost-diff	416	(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
cost-diff	0	(-.f32 #s(literal 1 binary32) u)
cost-diff	0	(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
cost-diff	0	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
cost-diff	0	(-.f32 #s(literal 1 binary32) u)
cost-diff	0	#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
cost-diff	0	(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
cost-diff	64	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	484
0	82	454
1	144	428
2	290	420
3	763	400
4	2101	388
5	5036	388
0	8101	371

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)
(-.f32 (/.f32 n0_i u) n0_i)
(/.f32 n0_i u)
n0_i
u
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))
(.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u u)) (+.f32 #s(literal 0 binary32) u))
(-.f32 #s(literal 0 binary32) (*.f32 u u))
#s(literal 0 binary32)
(*.f32 u u)
u
(+.f32 #s(literal 0 binary32) u)
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
(-.f32 n0_i n1_i)
n0_i
n1_i
(/.f32 n0_i u)
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)

Outputs
(fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) (.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))))
(.f32 n0_i #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)))
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
(.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(/.f32 normAngle (sin.f32 normAngle))
normAngle
(sin.f32 normAngle)
n1_i
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
n0_i
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)
(-.f32 (/.f32 n0_i u) n0_i)
(/.f32 n0_i u)
n0_i
u
n1_i
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(neg.f32 u)
(*.f32 (neg.f32 u) u)
#s(literal 0 binary32)
(*.f32 u u)
u
u
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 n0_i n1_i)
n0_i
n1_i
(/.f32 n0_i u)
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
(.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)

localize141.0ms (1.3%)

Memory

-22.9MiB live, 267.0MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.03515625	(/.f32 n0_i (sin.f32 normAngle))
accuracy	0.1953125	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy	0.296875	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
accuracy	12.906251774815171	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
accuracy	0.109375	(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u u)) (+.f32 #s(literal 0 binary32) u))
accuracy	0.158535009768442	(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
accuracy	0.21875	(.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
accuracy	0.4367478105747222	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
accuracy	0.0234375	(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)
accuracy	0.21875	(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
accuracy	0.2553371961493977	(-.f32 (/.f32 n0_i u) n0_i)
accuracy	0.4367478105747222	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
accuracy	0	(-.f32 #s(literal 1 binary32) u)
accuracy	0.16015625	(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
accuracy	0.4367478105747222	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
accuracy	12.91012997968927	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
accuracy	0.08203125	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
accuracy	0.16414220979774002	#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
accuracy	0.16796875	(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
accuracy	0.2787623361633829	#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))

Samples

92.0ms	249×	0	valid
4.0ms	7×	1	valid

Compiler

Compiled 827 to 98 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 77.0ms

ival-div: 32.0ms (41.8% of total)

ival-mult: 25.0ms (32.6% of total)

ival-sin: 7.0ms (9.1% of total)

ival-sub: 6.0ms (7.8% of total)

ival-add: 5.0ms (6.5% of total)

adjust: 1.0ms (1.3% of total)

ival-assert: 0.0ms (0% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

series88.0ms (0.8%)

Memory

-5.7MiB live, 264.5MiB allocated

Counts

24 → 744

Calls

Call 1

Inputs
#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 1 binary32) u) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u u)) (+.f32 #s(literal 0 binary32) u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (+.f32 #s(literal 0 binary32) u) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 #s(literal 0 binary32) (*.f32 u u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (/.f32 n0_i u) n0_i) #<representation binary32>) () ())
#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())
#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())
#s(alt #<batchref> (patch (/.f32 n0_i (sin.f32 normAngle)) #<representation binary32>) () ())

Outputs
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor 0 n0_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) #<representation binary32>) () ())) ())
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#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))))) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())) ())
#s(alt #<batchref> (taylor -inf n1_i) (#s(alt #<batchref> (patch (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) #<representation binary32>) () ())) ())

Calls

12 calls:

Time	Variable		Point	Expression
6.0ms	n0_i	@	0	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (* (+ (- (/ n0_i u) n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (- (/ n0_i u) n0_i) n1_i) (/ (- 0 (* u u)) (+ 0 u)) (* (/ (- 0 (* u u)) (+ 0 u)) (- (- n0_i n1_i) (/ n0_i u))) (+ 0 u) (- 0 (* u u)) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (- n0_i n1_i) (/ n0_i u)) (/ n0_i (sin normAngle)))
5.0ms	normAngle	@	inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (* (+ (- (/ n0_i u) n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (- (/ n0_i u) n0_i) n1_i) (/ (- 0 (* u u)) (+ 0 u)) (* (/ (- 0 (* u u)) (+ 0 u)) (- (- n0_i n1_i) (/ n0_i u))) (+ 0 u) (- 0 (* u u)) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (- n0_i n1_i) (/ n0_i u)) (/ n0_i (sin normAngle)))
4.0ms	u	@	inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (* (+ (- (/ n0_i u) n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (- (/ n0_i u) n0_i) n1_i) (/ (- 0 (* u u)) (+ 0 u)) (* (/ (- 0 (* u u)) (+ 0 u)) (- (- n0_i n1_i) (/ n0_i u))) (+ 0 u) (- 0 (* u u)) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (- n0_i n1_i) (/ n0_i u)) (/ n0_i (sin normAngle)))
4.0ms	n0_i	@	-inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (* (+ (- (/ n0_i u) n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (- (/ n0_i u) n0_i) n1_i) (/ (- 0 (* u u)) (+ 0 u)) (* (/ (- 0 (* u u)) (+ 0 u)) (- (- n0_i n1_i) (/ n0_i u))) (+ 0 u) (- 0 (* u u)) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (- n0_i n1_i) (/ n0_i u)) (/ n0_i (sin normAngle)))
3.0ms	n0_i	@	inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (- 1 u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- 1 u) n0_i) (* (+ (- (/ n0_i u) n0_i) n1_i) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (+ (- (/ n0_i u) n0_i) n1_i) (/ (- 0 (* u u)) (+ 0 u)) (* (/ (- 0 (* u u)) (+ 0 u)) (- (- n0_i n1_i) (/ n0_i u))) (+ 0 u) (- 0 (* u u)) (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ n0_i (sin normAngle))) (sin (* (- 1 u) normAngle)) (* (- 1 u) normAngle) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (- (/ n0_i u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (- (- n0_i n1_i) (/ n0_i u)) (/ n0_i (sin normAngle)))

simplify419.0ms (3.8%)

Memory

5.3MiB live, 294.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	11261
1	1688	10935
2	5602	10668
0	8163	10078

Stop Event

1×	iter limit
1×	node limit

Counts

744 → 715

Calls

Call 1

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

Outputs
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 n1_i u)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(*.f32 n1_i u)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 n1_i u)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
n1_i
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i n1_i)
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i n1_i)
(fma.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i n1_i)
(*.f32 n1_i u)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(neg.f32 n1_i)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(-.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i)
(.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) n0_i)
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
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(fma.f32 (-.f32 n1_i n0_i) u n0_i)
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(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) n1_i)
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) n1_i)
(*.f32 n1_i u)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(*.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) n0_i u) n1_i)
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(.f32 (fma.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))) n1_i)
(neg.f32 n1_i)
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) n1_i)
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) n1_i)
(*.f32 (-.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)) n1_i)

rewrite180.0ms (1.6%)

Memory

11.2MiB live, 286.2MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	388
0	82	352
1	306	340
2	2550	340
0	9024	330

Stop Event

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

Counts

24 → 654

Calls

Call 1

Inputs
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
(*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u))
(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 u u)) (+.f32 #s(literal 0 binary32) u))
(.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))
(+.f32 #s(literal 0 binary32) u)
(-.f32 #s(literal 0 binary32) (*.f32 u u))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(-.f32 (/.f32 n0_i u) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
(-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u))
(/.f32 n0_i (sin.f32 normAngle))

Outputs
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eval256.0ms (2.3%)

Memory: -4.7MiB live, 380.3MiB allocated
Compiler: Compiled 79 469 to 4 217 computations (94.7% saved)

prune108.0ms (1%)

Memory

18.4MiB live, 215.2MiB allocated

Pruning

39 alts after pruning (31 fresh and 8 done)

	Pruned	Kept	Total
New	1 449	22	1 471
Fresh	11	9	20
Picked	2	3	5
Done	1	5	6
Total	1 463	39	1 502

Accuracy

100.0%

Counts

1 502 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	29.3%	(+.f32 (/.f32 (.f32 n0_i #s(approx (sin ( (- 1 u) normAngle)) (.f32 (-.f32 (fma.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.9%	(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i))
	97.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i))
✓	98.9%	(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
	78.8%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 (neg.f32 u) u) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
✓	97.7%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	98.8%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
	98.5%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
	82.0%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) #s(literal 1 binary32))) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
	46.2%	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
✓	59.2%	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
	39.2%	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
	57.5%	#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 #s(approx (sin ( (- 1 u) normAngle)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
✓	8.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)))
✓	39.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 n1_i u)))
	37.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
	97.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (/.f32 #s(literal -1 binary32) u))))
	96.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (.f32 (neg.f32 u) u)) u)))
	59.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 n0_i #s(literal 1 binary32)) (.f32 n0_i (neg.f32 u)))))
	46.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1 binary32)) n0_i)))
	46.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) n0_i)))
	77.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 (.f32 n0_i (+.f32 n1_i n0_i)) (.f32 u (.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)))) (*.f32 u (+.f32 n1_i n0_i))) u)))
	97.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
	39.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 n1_i)))))
	96.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (.f32 (neg.f32 u) u)) (.f32 (neg.f32 u) u)) (neg.f32 u))))
	97.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) u) n0_i) n1_i) u) (neg.f32 n1_i))))
	97.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u)))
	97.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u)))
✓	59.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
	88.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 n0_i u) n0_i) (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (.f32 n0_i n0_i)))) n1_i) u)))
	81.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (/.f32 n0_i u)) n1_i) u)))
	97.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u)))
	58.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) n0_i)))
	98.0%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 n0_i) (-.f32 (+.f32 #s(literal -1 binary32) u) (/.f32 (.f32 n1_i u) n0_i)))))
	46.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
	58.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (-.f32 (/.f32 n0_i u) n0_i)) u)))
	97.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) n1_i)) u)))
✓	39.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))

Compiler

Compiled 4 865 to 1 440 computations (70.4% saved)

regimes115.0ms (1%)

Memory

-7.2MiB live, 184.9MiB allocated

Counts

77 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 n0_i #s(literal 1 binary32)) (.f32 n0_i (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (-.f32 (/.f32 n0_i u) n0_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (/.f32 n0_i u)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (neg.f32 n0_i) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (-.f32 n0_i (/.f32 n0_i u))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 n0_i) (-.f32 (+.f32 #s(literal -1 binary32) u) (/.f32 (.f32 n1_i u) n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) u) n0_i) n1_i) u) (neg.f32 n1_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 (-.f32 n0_i n1_i) (neg.f32 u)) (.f32 (/.f32 (neg.f32 n0_i) u) (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) n1_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (/.f32 #s(literal -1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (.f32 (neg.f32 u) u)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 (.f32 n0_i (+.f32 n1_i n0_i)) (.f32 u (.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)))) (*.f32 u (+.f32 n1_i n0_i))) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 u) (/.f32 (-.f32 (.f32 (.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) u) (.f32 (+.f32 n1_i n0_i) n0_i)) (*.f32 (+.f32 n1_i n0_i) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (.f32 (neg.f32 u) u)) (.f32 (neg.f32 u) u)) (neg.f32 u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 #s(approx (sin ( (- 1 u) normAngle)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) #s(literal 1 binary32))) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 (neg.f32 u) u) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 n0_i u) n0_i) (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (.f32 n0_i n0_i)))) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i))
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i))
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (-.f32 (pow.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (.f32 n1_i u) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (.f32 normAngle u)) (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u))) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n1_i))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (+.f32 (.f32 (neg.f32 u) normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (/.f32 (.f32 n0_i (sin.f32 (+.f32 (.f32 normAngle #s(literal 1 binary32)) (.f32 normAngle (neg.f32 u))))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (/.f32 (.f32 n0_i #s(approx (sin ( (- 1 u) normAngle)) (.f32 (-.f32 (fma.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle normAngle) #s(literal 1 binary32)) u) normAngle))) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i) #s(literal 2 binary32)) (pow.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) #s(literal 2 binary32))) (-.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i)))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) #s(literal 2 binary32)) (pow.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i) #s(literal 2 binary32))) (-.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 normAngle u)))) n1_i))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32))) (/.f32 (-.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (sin.f32 normAngle)) (-.f32 (pow.f32 (.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u))) #s(literal 2 binary32)) (pow.f32 (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) #s(literal 2 binary32)))))

Outputs

(+.f32 (*.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))

Calls

5 calls:

24.0ms	u
23.0ms	n0_i
21.0ms	normAngle
21.0ms	n1_i
20.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Results

Accuracy	Segments	Branch
98.9%	1	`normAngle`
98.9%	1	`u`
98.9%	1	`n0_i`
98.9%	1	`n1_i`
98.9%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes411.0ms (3.7%)

Memory

-143.9MiB live, 153.9MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 n0_i #s(literal 1 binary32)) (.f32 n0_i (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (-.f32 (/.f32 n0_i u) n0_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (/.f32 n0_i u)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (neg.f32 n0_i) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (-.f32 n0_i (/.f32 n0_i u))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 n0_i) (-.f32 (+.f32 #s(literal -1 binary32) u) (/.f32 (.f32 n1_i u) n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) u) n0_i) n1_i) u) (neg.f32 n1_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 (-.f32 n0_i n1_i) (neg.f32 u)) (.f32 (/.f32 (neg.f32 n0_i) u) (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) n1_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (/.f32 #s(literal -1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (.f32 (neg.f32 u) u)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 (.f32 n0_i (+.f32 n1_i n0_i)) (.f32 u (.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)))) (*.f32 u (+.f32 n1_i n0_i))) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 u) (/.f32 (-.f32 (.f32 (.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) u) (.f32 (+.f32 n1_i n0_i) n0_i)) (*.f32 (+.f32 n1_i n0_i) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (.f32 (neg.f32 u) u)) (.f32 (neg.f32 u) u)) (neg.f32 u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 #s(approx (sin ( (- 1 u) normAngle)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) #s(literal 1 binary32))) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (pow.f32 u #s(literal 3 binary32)) u) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) (fma.f32 u u (-.f32 #s(literal 1 binary32) (.f32 (neg.f32 u) #s(literal 1 binary32))))) n0_i (.f32 n1_i u)))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 (neg.f32 u) u) (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 n0_i u) n0_i) (-.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (.f32 n0_i n0_i)))) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(fma.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i))
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i))
(+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i) (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (-.f32 #s(literal 1 binary32) u))) n0_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (-.f32 (pow.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) #s(literal 2 binary32)) (pow.f32 (.f32 n1_i u) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 n1_i u)))))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) u))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (/.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (+.f32 u #s(literal 1 binary32)))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n1_i (sin.f32 (.f32 normAngle u)) (.f32 n0_i (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))))

Outputs

(+.f32 (*.f32 #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (*.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))

Calls

5 calls:

337.0ms	n1_i
20.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
18.0ms	u
15.0ms	normAngle
15.0ms	n0_i

Results

Accuracy	Segments	Branch
98.8%	1	`normAngle`
98.8%	1	`u`
98.8%	1	`n0_i`
98.8%	1	`n1_i`
98.8%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes65.0ms (0.6%)

Memory

35.2MiB live, 152.8MiB allocated

Counts

41 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 n0_i #s(literal 1 binary32)) (.f32 n0_i (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (-.f32 (/.f32 n0_i u) n0_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (/.f32 n0_i u)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (neg.f32 n0_i) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (-.f32 n0_i (/.f32 n0_i u))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 n0_i) (-.f32 (+.f32 #s(literal -1 binary32) u) (/.f32 (.f32 n1_i u) n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) u) n0_i) n1_i) u) (neg.f32 n1_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 (-.f32 n0_i n1_i) (neg.f32 u)) (.f32 (/.f32 (neg.f32 n0_i) u) (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i)) n1_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (/.f32 #s(literal -1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (.f32 (-.f32 (/.f32 (-.f32 n0_i (/.f32 n0_i u)) n1_i) #s(literal 1 binary32)) n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (/.f32 (.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (.f32 (neg.f32 u) u)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 (.f32 n0_i (+.f32 n1_i n0_i)) (.f32 u (.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)))) (*.f32 u (+.f32 n1_i n0_i))) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 u) (/.f32 (-.f32 (.f32 (.f32 (+.f32 n1_i n0_i) (-.f32 n0_i n1_i)) u) (.f32 (+.f32 n1_i n0_i) n0_i)) (*.f32 (+.f32 n1_i n0_i) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (.f32 (neg.f32 u) u)) (.f32 (neg.f32 u) u)) (neg.f32 u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) u))) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 #s(approx (sin ( (- 1 u) normAngle)) (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(approx (- 1 u) #s(literal 1 binary32))) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))

Outputs

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (*.f32 (-.f32 n0_i n1_i) (neg.f32 u)) (*.f32 (/.f32 (neg.f32 n0_i) u) (neg.f32 u)))))

Calls

5 calls:

16.0ms	n0_i
12.0ms	n1_i
12.0ms	u
11.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
11.0ms	normAngle

Results

Accuracy	Segments	Branch
98.2%	1	`normAngle`
98.2%	1	`u`
98.2%	1	`n0_i`
98.2%	1	`n1_i`
98.2%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes55.0ms (0.5%)

Memory

1.0MiB live, 144.4MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 n0_i #s(literal 1 binary32)) (.f32 n0_i (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (+ (- (/ n0_i u) n0_i) n1_i) (-.f32 (/.f32 n0_i u) n0_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (/.f32 n0_i u)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (/.f32 (neg.f32 n0_i) u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (-.f32 n0_i (/.f32 n0_i u))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (+.f32 (/.f32 n0_i u) n1_i) n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (/.f32 n0_i u) (-.f32 n0_i n1_i)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 n0_i (+.f32 (/.f32 n0_i u) n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (+.f32 #s(approx (- (/ n0_i u) n0_i) (.f32 (-.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) n0_i)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (neg.f32 n0_i) (-.f32 (+.f32 #s(literal -1 binary32) u) (/.f32 (.f32 n1_i u) n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 (/.f32 (.f32 (+.f32 #s(literal -1 binary32) u) n0_i) n1_i) u) (neg.f32 n1_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (/.f32 (-.f32 #s(literal 0 binary32) (.f32 u u)) (+.f32 #s(literal 0 binary32) u)) #s(approx (- (- n0_i n1_i) (/ n0_i u)) (neg.f32 n1_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) n0_i)))

Outputs

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (*.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))

Calls

5 calls:

15.0ms	n0_i
11.0ms	n1_i
9.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
9.0ms	normAngle
8.0ms	u

Results

Accuracy	Segments	Branch
98.2%	1	`normAngle`
98.2%	1	`u`
98.2%	1	`n0_i`
98.2%	1	`n1_i`
98.2%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes28.0ms (0.2%)

Memory

5.9MiB live, 83.0MiB allocated

Counts

12 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 n0_i #s(literal 1 binary32)) (.f32 n0_i (neg.f32 u)))))

Outputs

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

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (*.f32 n0_i #s(literal 1 binary32)) (*.f32 n0_i (neg.f32 u)))))

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

Calls

5 calls:

9.0ms	normAngle
5.0ms	n1_i
5.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
4.0ms	n0_i
4.0ms	u

Results

Accuracy	Segments	Branch
59.3%	1	`normAngle`
59.3%	1	`u`
73.2%	3	`n0_i`
74.6%	3	`n1_i`
59.3%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes7.0ms (0.1%)

Memory

12.5MiB live, 12.5MiB allocated

Counts

11 → 3

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- 1 (pow u 3)) (+ (* u u) (- 1 (* (neg u) 1)))) n0_i) (* n1_i u)) (*.f32 (-.f32 n1_i n0_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (/ (* n0_i (sin (* (- 1 u) normAngle))) (sin normAngle)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))

Outputs

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

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))

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

Calls

1 calls:

6.0ms

n1_i

Results

Accuracy	Segments	Branch
74.4%	3	`n1_i`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes19.0ms (0.2%)

Memory

-4.5MiB live, 43.9MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs

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

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))

Outputs

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

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i)))

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

Calls

5 calls:

6.0ms	n1_i
3.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
3.0ms	n0_i
3.0ms	normAngle
3.0ms	u

Results

Accuracy	Segments	Branch
46.2%	1	`normAngle`
55.6%	2	`u`
46.2%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
61.5%	3	`n0_i`
63.1%	3	`n1_i`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes17.0ms (0.2%)

Memory

0.5MiB live, 35.1MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	n1_i
3.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
2.0ms	normAngle
2.0ms	n0_i
2.0ms	u

Results

Accuracy	Segments	Branch
39.6%	1	`normAngle`
39.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
39.6%	1	`u`
39.6%	1	`n0_i`
39.6%	1	`n1_i`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.645684874461265e-12	6.964671894760244e-12
0.0ms	-1.699906716075511e-16	-1.0252820974533523e-16

Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

0.9MiB live, 0.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.645684874461265e-12	6.964671894760244e-12
0.0ms	-1.699906716075511e-16	-1.0252820974533523e-16

Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

2.0MiB live, 2.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	5.735792344271303e-21	7.334121776399694e-21
0.0ms	-7.566551935267565e-18	-1.979529646213407e-18

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify83.0ms (0.7%)

Memory

-42.0MiB live, 132.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	75	574
1	112	572
2	160	570
3	211	570
4	273	570
5	398	570
6	567	570
7	700	570
8	836	570
9	957	570
10	1034	570
11	1064	570
12	1074	570
13	1078	570
14	1079	570

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 (-.f32 n0_i n1_i) (neg.f32 u)) (.f32 (/.f32 (neg.f32 n0_i) u) (neg.f32 u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 n1_i u) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n1_i #s(literal -708355/4722366482869645213696 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 n1_i u))) (if (<=.f32 n1_i #s(literal 6917529/1152921504606846976 binary32)) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (+.f32 (.f32 n0_i #s(literal 1 binary32)) (.f32 n0_i (neg.f32 u))))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))))
(if (<=.f32 n1_i #s(literal -708355/4722366482869645213696 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 n1_i u))) (if (<=.f32 n1_i #s(literal 6917529/1152921504606846976 binary32)) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))))
(if (<=.f32 n1_i #s(literal -6044629/1208925819614629174706176 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 n1_i u))) (if (<=.f32 n1_i #s(literal 928455/154742504910672534362390528 binary32)) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))

Outputs
(+.f32 (.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (.f32 (/.f32 normAngle (sin.f32 normAngle)) u))) (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (-.f32 (.f32 (/.f32 n0_i u) u) (.f32 (-.f32 n0_i n1_i) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i u)))
(if (<=.f32 n1_i #s(literal -708355/4722366482869645213696 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 n1_i u))) (if (<=.f32 n1_i #s(literal 6917529/1152921504606846976 binary32)) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (-.f32 n0_i (.f32 n0_i u)))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))))
(if (<=.f32 n1_i #s(literal -708355/4722366482869645213696 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 n1_i u))) (if (<=.f32 n1_i #s(literal 6917529/1152921504606846976 binary32)) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))))
(if (<=.f32 n1_i #s(literal -6044629/1208925819614629174706176 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 n1_i u))) (if (<=.f32 n1_i #s(literal 928455/154742504910672534362390528 binary32)) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n1_i u)))

soundness1.0s (9.2%)

Memory

14.7MiB live, 773.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	531	11261
1	1688	10935
2	5602	10668
0	8163	10078
0	321	2815
1	987	2714
2	3392	2654
0	8125	2540
0	56	388
0	82	352
1	306	340
2	2550	340
0	9024	330
0	53	337
0	90	267
1	282	267
2	1874	267
0	8562	262
0	62	409
0	99	359
1	352	331
2	2656	319
0	8754	314
0	696	14767
1	2285	13905
0	8100	13175

Stop Event

1×	fuel
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	iter limit
1×	node limit
1×	iter limit
1×	node limit

Compiler

Compiled 929 to 352 computations (62.1% saved)

preprocess78.0ms (0.7%)

Memory: -6.3MiB live, 70.0MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 1 490 to 398 computations (73.3% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze558.0ms (5%)

sample3.3s (29.6%)

explain232.0ms (2.1%)

preprocess116.0ms (1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify57.0ms (0.5%)

localize44.0ms (0.4%)

series103.0ms (0.9%)

simplify332.0ms (3%)

rewrite224.0ms (2%)

eval70.0ms (0.6%)

prune29.0ms (0.3%)

simplify328.0ms (2.9%)

localize151.0ms (1.4%)

series194.0ms (1.7%)

simplify252.0ms (2.3%)

rewrite300.0ms (2.7%)

eval253.0ms (2.3%)

prune95.0ms (0.9%)

simplify128.0ms (1.1%)

localize221.0ms (2%)

series231.0ms (2.1%)

simplify201.0ms (1.8%)

rewrite223.0ms (2%)

eval194.0ms (1.7%)

prune89.0ms (0.8%)

simplify114.0ms (1%)

localize141.0ms (1.3%)

series88.0ms (0.8%)

simplify419.0ms (3.8%)

rewrite180.0ms (1.6%)

eval256.0ms (2.3%)

prune108.0ms (1%)

regimes115.0ms (1%)

regimes411.0ms (3.7%)

regimes65.0ms (0.6%)

regimes55.0ms (0.5%)

regimes28.0ms (0.2%)

regimes7.0ms (0.1%)

regimes19.0ms (0.2%)

regimes17.0ms (0.2%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify83.0ms (0.7%)

soundness1.0s (9.2%)

preprocess78.0ms (0.7%)

end0.0ms (0%)

Profiling