Metrics for Curve intersection, scale width based on ribbon orientation

analyze332.0ms (2.3%)

Memory

9.5MiB live, 511.9MiB 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)

sample3.7s (25.7%)

Memory

-119.9MiB live, 4 679.9MiB allocated

Samples

2.4s	8 256×	0	valid
611.0ms	1 994×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

ival-mult: 722.0ms (29.4% of total)

ival-sin: 436.0ms (17.7% of total)

ival-<=: 325.0ms (13.2% of total)

ival-add: 290.0ms (11.8% of total)

ival-div: 251.0ms (10.2% of total)

const: 210.0ms (8.5% of total)

ival-pi: 87.0ms (3.5% of total)

ival-and: 56.0ms (2.3% of total)

ival-sub: 54.0ms (2.2% of total)

exact: 23.0ms (0.9% of total)

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

Bogosity

preprocess137.0ms (1%)

Memory

-5.6MiB live, 116.0MiB allocated

Algorithm

1×	egg-herbie

Rules

1 402×	`unsub-neg`
1 014×	`times-frac`
832×	`lower-fma.f64`
832×	`lower-fma.f32`
738×	`neg-mul-1`

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 (*.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 (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i (*.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))

Symmetry

(abs normAngle)

explain220.0ms (1.5%)

Memory

-18.9MiB live, 372.7MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	23	(3.6674399452529887e-38 3.915815582899995e-8 -1.5834155167593345e-11 -1.5871744053796085e-36)	`(.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	7
-	1	248

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	7
-	1	0	248

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

60.0ms	502×	0	valid
2.0ms	10×	1	valid

Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 42.0ms

ival-mult: 20.0ms (47.7% of total)

ival-sin: 12.0ms (28.6% of total)

ival-div: 4.0ms (9.5% of total)

ival-sub: 3.0ms (7.2% of total)

ival-add: 2.0ms (4.8% 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)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

2.3MiB live, 2.3MiB 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 29 to 17 computations (41.4% saved)

simplify77.0ms (0.5%)

Memory

4.5MiB live, 80.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	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))

Rules

832×	`lower-fma.f64`
832×	`lower-fma.f32`
576×	`lower-*.f64`
564×	`lower-*.f32`
486×	`times-frac`

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

localize64.0ms (0.4%)

Memory

21.5MiB live, 58.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	95.2%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

28.0ms	251×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 19.0ms

ival-mult: 8.0ms (42% of total)

ival-sin: 6.0ms (31.5% of total)

ival-div: 2.0ms (10.5% of total)

ival-add: 1.0ms (5.2% of total)

ival-sub: 1.0ms (5.2% 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)

series39.0ms (0.3%)

Memory

-11.1MiB live, 30.1MiB allocated

Counts

5 → 156

Calls

Call 1

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

Outputs
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (- 1 u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 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)>
#<alt (- (+ 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)>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))>
#<alt (* 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))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt u>
#<alt (+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))>
#<alt (+ 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))))>
#<alt (+ 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))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ 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))))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt normAngle>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>

Calls

39 calls:

Time	Variable		Point	Expression
10.0ms	u	@	0	(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
3.0ms	u	@	inf	(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
3.0ms	normAngle	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	normAngle	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	u	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

simplify419.0ms (2.9%)

Memory

38.7MiB live, 699.3MiB allocated

Algorithm

1×	egg-herbie

Rules

12 022×	`lower-fma.f64`
12 022×	`lower-fma.f32`
6 426×	`lower-+.f64`
6 426×	`lower-+.f32`
5 452×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	2830
1	987	2714
2	3385	2654
0	8124	2540

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

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

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

rewrite353.0ms (2.5%)

Memory

1.5MiB live, 592.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 546×	`lower-fma.f64`
7 546×	`lower-fma.f32`
5 814×	`lower-*.f64`
5 802×	`lower-*.f32`
2 004×	`lower-pow.f64`

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
(neg.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))))))))
(neg.f32 (/.f32 (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (.f32 n1_i n1_i)))) (neg.f32 (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (.f32 n1_i n1_i))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (.f32 u normAngle)) n1_i))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 n0_i n0_i)) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (sin.f32 normAngle)) (-.f32 (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 n0_i n0_i)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 (/.f32 (.f32 n0_i (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
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(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))
(/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (neg.f32 u)))) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) #s(literal -1 binary32)) (sin.f32 normAngle))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (.f32 u normAngle)) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.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 u normAngle))))
(.f32 (/.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (sin.f32 normAngle)) #s(literal -1 binary32))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(neg.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)))
(exp.f32 (log.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))) #s(literal 1 binary32)))
(pow.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) n0_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (exp.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (sin.f32 normAngle))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i)
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)))
(.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(.f32 (.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)) #s(literal -1 binary32))
(.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (exp.f32 (log.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(*.f32 (exp.f32 (log.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) (exp.f32 (log.f32 n0_i)))
(*.f32 (exp.f32 (log.f32 n0_i)) (exp.f32 (log.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(.f32 (exp.f32 (log.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 normAngle (*.f32 normAngle (neg.f32 u)))
(+.f32 (*.f32 normAngle (neg.f32 u)) normAngle)
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) u) (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 normAngle (neg.f32 u)))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(fma.f32 #s(literal -1 binary32) (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) u normAngle)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u) (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))))
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
(/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (neg.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(/.f32 (fma.f32 (.f32 normAngle normAngle) normAngle (.f32 (.f32 u (.f32 u u)) (.f32 (.f32 normAngle normAngle) normAngle))) (fma.f32 normAngle normAngle (-.f32 (.f32 (.f32 normAngle (neg.f32 u)) (.f32 normAngle (neg.f32 u))) (.f32 normAngle (*.f32 normAngle (neg.f32 u))))))
(/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 normAngle (neg.f32 u)))) (-.f32 normAngle (*.f32 normAngle (neg.f32 u))))
(/.f32 (.f32 normAngle (neg.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (.f32 normAngle (+.f32 #s(literal -1 binary32) (.f32 u u))) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(/.f32 (.f32 (neg.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32))) normAngle) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 u u)) normAngle) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) u))
(.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) normAngle))
(.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) normAngle))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) u)))
(*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)
(.f32 (.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
(.f32 (/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (.f32 (fma.f32 u u u) (fma.f32 u u u)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u u u) (fma.f32 u u u)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(.f32 (/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(.f32 (/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))

eval37.0ms (0.3%)

Memory: 16.0MiB live, 89.9MiB allocated
Compiler: Compiled 14 967 to 1 041 computations (93% saved)

prune57.0ms (0.4%)

Memory

-26.9MiB live, 127.9MiB allocated

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	378	14	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	379	14	393

Accuracy

100.0%

Counts

393 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
▶	97.7%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
	97.3%	(+.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 u normAngle)))) n1_i))
▶	98.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
	82.0%	(+.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))
	98.0%	(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.0%	(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	73.0%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i))))
▶	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i))
▶	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
	37.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
	62.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))))
▶	60.0%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))

Compiler

Compiled 696 to 418 computations (39.9% saved)

simplify324.0ms (2.3%)

Memory

9.9MiB live, 549.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
✓	cost-diff	0	(sin.f32 normAngle)
✓	cost-diff	0	(/.f32 n0_i (sin.f32 normAngle))
✓	cost-diff	3552	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
✓	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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) 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)))
✓	cost-diff	0	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	cost-diff	0	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	cost-diff	0	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
✓	cost-diff	0	(*.f32 u n1_i)
✓	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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
✓	cost-diff	160	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓	cost-diff	0	(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
✓	cost-diff	0	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i))
✓	cost-diff	3712	(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))

Rules

11 164×	`lower-fma.f64`
11 148×	`lower-fma.f32`
3 604×	`lower-*.f64`
3 578×	`lower-*.f32`
1 442×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	474
0	106	475
1	192	447
2	395	444
3	922	424
4	2262	424
5	3414	422
6	4426	422
7	5787	422
8	6923	422
0	8028	411

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) n0_i))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i) n0_i)
u
(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 (cos.f32 normAngle) (neg.f32 n0_i) n1_i))
n0_i
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(neg.f32 (sin.f32 normAngle))
(sin.f32 normAngle)
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
(/.f32 n1_i (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 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(*.f32 u n1_i)
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
n0_i
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
u
(neg.f32 normAngle)
normAngle
(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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) (.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 u normAngle)) u))))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 u (neg.f32 normAngle) 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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i)
(.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 u normAngle)) u)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 u normAngle)) u))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 u normAngle)) u)
(*.f32 normAngle normAngle)
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal -1/6 binary32)
#s(literal 1/6 binary32)
n1_i
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/.f32 (fma.f32 n1_i (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))) (sin.f32 normAngle))
(/.f32 n0_i (sin.f32 normAngle))
n0_i
(sin.f32 normAngle)
normAngle
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 normAngle (neg.f32 u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(neg.f32 u)
u
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(sin.f32 (*.f32 u normAngle))
(*.f32 u normAngle)
(/.f32 n1_i (sin.f32 normAngle))
n1_i

localize396.0ms (2.8%)

Memory

1.6MiB live, 370.9MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 n1_i (sin.f32 normAngle))
✓	accuracy	100.0%	(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
✓	accuracy	99.3%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
✓	accuracy	95.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.2%	#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))
✓	accuracy	98.9%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	accuracy	99.6%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	accuracy	99.1%	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	accuracy	60.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	99.6%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓	accuracy	98.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
✓	accuracy	99.9%	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	accuracy	99.9%	(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
✓	accuracy	99.6%	(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
✓	accuracy	99.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i))

Samples

320.0ms	248×	0	valid
6.0ms	8×	1	valid

Compiler

Compiled 409 to 55 computations (86.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 142.0ms

ival-cos: 56.0ms (39.6% of total)

ival-mult: 44.0ms (31.1% of total)

ival-add: 11.0ms (7.8% of total)

ival-sin: 10.0ms (7.1% of total)

ival-div: 9.0ms (6.4% of total)

const: 7.0ms (4.9% of total)

ival-neg: 3.0ms (2.1% of total)

ival-sub: 2.0ms (1.4% of total)

adjust: 1.0ms (0.7% of total)

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

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

exact: 0.0ms (0% of total)

series103.0ms (0.7%)

Memory

0.5MiB live, 115.0MiB allocated

Counts

26 → 780

Calls

Call 1

Inputs
#<alt (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))>
#<alt #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i))>
#<alt (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))>
#<alt (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))>
#<alt #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (*.f32 u n1_i)>
#<alt #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))>
#<alt (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))>
#<alt (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))>
#<alt (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))>
#<alt (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))>
#<alt (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))>
#<alt (/.f32 n0_i (sin.f32 normAngle))>
#<alt (sin.f32 normAngle)>
#<alt (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))>
#<alt (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))>
#<alt #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>
#<alt (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (/.f32 n1_i (sin.f32 normAngle))>

Outputs
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))>
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt -1>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
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#<alt (+ 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))))))>
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#<alt (+ 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))))))>
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#<alt 1>
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#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
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#<alt (- 1 u)>
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#<alt (- (+ 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)>
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#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
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#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
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#<alt (+ (* 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)))))))>
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#<alt (sin normAngle)>
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#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))>
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))>
#<alt (* 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))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -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 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i normAngle)>
#<alt (/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)>
#<alt (/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)>
#<alt (/ (+ 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)>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt (/ n0_i (sin normAngle))>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin normAngle)>
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt n1_i>
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* 1/6 u)>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* -1/6 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))>
#<alt (* 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))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt u>
#<alt (+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))>
#<alt (+ 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))))>
#<alt (+ 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))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt normAngle>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 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))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i normAngle)>
#<alt (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)>
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)>
#<alt (/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>
#<alt (/ n1_i (sin normAngle))>

Calls

195 calls:

Time	Variable		Point	Expression
25.0ms	n1_i	@	0	(* normAngle (/ n1_i (sin normAngle)))
15.0ms	u	@	inf	(+ (* n0_i (- 1 u)) (* u n1_i))
7.0ms	normAngle	@	inf	(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
4.0ms	n0_i	@	0	(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))
2.0ms	normAngle	@	inf	(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))

simplify634.0ms (4.4%)

Memory

-1.7MiB live, 466.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 196×	`lower-fma.f64`
12 196×	`lower-fma.f32`
6 964×	`lower-*.f64`
6 964×	`lower-*.f32`
4 376×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	820	13559
1	2853	12753
0	8479	12127

Stop Event

1×	iter limit
1×	node limit

Counts

780 → 767

Calls

Call 1

Inputs
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_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 (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 (* -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 (- 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 (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)))
(/ (* 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)) (/ (* 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))
(* -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)) (/ (* 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)))))))
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))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
-1
(- (* 1/3 (pow normAngle 2)) 1)
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (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 (/ (* 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 (- 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
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(* 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 (+ 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 (- 1 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)
(* 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)
(* -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)))))
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 (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 (* -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 (- 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 (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)))
(/ (* 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)) (/ (* 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))
(* -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)) (/ (* 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)))))))
1
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* -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)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i 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 (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 (* -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 (- 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 (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)))
(/ (* 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)) (/ (* 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))
(* -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)) (/ (* 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)))))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (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 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(* n0_i (+ 1 (* -1 u)))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 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))))))))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(+ 1 (* -1 u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 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)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 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))))))))
(/ (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 (* -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 (* (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)
(/ (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))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/ (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))))))
(+ (/ (* 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 (* -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 (- 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 (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)))
(/ (* 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)) (/ (* 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))
(* -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)) (/ (* 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)))))))
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 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 (* -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 (- 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 (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))
(/ (* 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))
(/ (* 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))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (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)))))))))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -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))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -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 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle 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))))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle 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 (* normAngle u))))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle 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 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ 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))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
(/ n0_i (sin normAngle))
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 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)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(* 1/6 u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* -1/6 (pow u 3))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 3))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(/ (* 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))))
(/ (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))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
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))))
(/ (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))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(+ normAngle (* -1 (* normAngle u)))
(* -1 (* normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(* -1 (* normAngle u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(* normAngle (- 1 u))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 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))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))
(/ n1_i (sin normAngle))

Outputs
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 n0_i #s(literal 1/18 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 n0_i #s(literal 1/18 binary32))))) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(.f32 (-.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(.f32 (-.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(.f32 (-.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(.f32 (-.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(.f32 (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(.f32 (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(.f32 (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (*.f32 n1_i (sin.f32 normAngle))) (neg.f32 (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 n1_i))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle u) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle (.f32 normAngle u))))) n0_i)
(+ 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))))))
(fma.f32 u (fma.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u (fma.f32 u (fma.f32 n1_i (/.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 n0_i (.f32 normAngle (.f32 normAngle normAngle)))) (cos.f32 normAngle)) (sin.f32 normAngle))) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))))) n0_i)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* 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)))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* 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)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* 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)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))))) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) u) (.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (.f32 #s(literal -1/720 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (*.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
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n0_i
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(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
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(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
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(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
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(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
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(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
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(+ n0_i (* u (+ n1_i (* -1 n0_i))))
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(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
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(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 n0_i #s(literal 1/18 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (.f32 normAngle (.f32 normAngle u)) (.f32 (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 n0_i #s(literal 1/18 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) u)) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 normAngle u))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
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(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(*.f32 normAngle (fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i normAngle)))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(.f32 (.f32 normAngle (neg.f32 u)) (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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#s(literal -1 binary32)
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n0_i
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n0_i
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(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
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(+ 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))))))
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(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
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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))) (* (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)))))))
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(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
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(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
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(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
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(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
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(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
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(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* 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)))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* 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)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* 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)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))))) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) u) (.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (.f32 #s(literal -1/720 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (*.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(+ 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))))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 n0_i #s(literal 1/6 binary32)) (.f32 (cos.f32 normAngle) (.f32 u (.f32 normAngle (.f32 normAngle normAngle))))) (sin.f32 normAngle))) (.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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#s(literal 1 binary32)
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(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
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(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
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(sin (+ normAngle (* -1 (* normAngle u))))
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(sin (+ normAngle (* -1 (* normAngle u))))
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(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
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(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
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(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
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(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
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(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) 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)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))) (.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) 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)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32)))))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))) (.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle u) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle (.f32 normAngle u))))) n0_i)
(+ 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))))))
(fma.f32 u (fma.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u (fma.f32 u (fma.f32 n1_i (/.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 n0_i (.f32 normAngle (.f32 normAngle normAngle)))) (cos.f32 normAngle)) (sin.f32 normAngle))) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))))) n0_i)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* 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)))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* 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)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* 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)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))))) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) u) (.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (.f32 #s(literal -1/720 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (*.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(+ 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))))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 n0_i #s(literal 1/6 binary32)) (.f32 (cos.f32 normAngle) (.f32 u (.f32 normAngle (.f32 normAngle normAngle))))) (sin.f32 normAngle))) (.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (- 1 u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) 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))))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* 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))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (-.f32 (.f32 (.f32 n0_i #s(literal -1/5040 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (.f32 (.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (fma.f32 n0_i (neg.f32 u) n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 u) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32)))) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32)) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* 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))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -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 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (.f32 n0_i #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))))) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) u) (.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u)) (.f32 #s(literal -1/720 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))))) (.f32 #s(literal 1/120 binary32) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (.f32 u (*.f32 u u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (*.f32 normAngle u) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle (.f32 normAngle u))))) n0_i)
(+ 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))))))
(fma.f32 u (fma.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 u (fma.f32 u (fma.f32 n1_i (/.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 n0_i (.f32 normAngle (.f32 normAngle normAngle)))) (cos.f32 normAngle)) (sin.f32 normAngle))) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))))) n0_i)
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)))))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i normAngle)
(/.f32 n0_i normAngle)
(/ (+ n0_i (* 1/6 (* n0_i (pow normAngle 2)))) normAngle)
(/.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n0_i) normAngle)
(/ (+ n0_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/120 n0_i)))) (* -1/6 n0_i)))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/6 binary32))) 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)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/840 binary32) (.f32 n0_i #s(literal -7/2160 binary32)))) (.f32 n0_i #s(literal -7/360 binary32)))) (.f32 n0_i #s(literal 1/6 binary32))) n0_i) normAngle)
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
(/ n0_i (sin normAngle))
(/.f32 n0_i (sin.f32 normAngle))
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32)) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 u) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32)))) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))) (.f32 (neg.f32 normAngle) normAngle) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* 1/6 u)
(*.f32 #s(literal 1/6 binary32) u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32)))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u)))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u)))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u)))))
(/ (* normAngle u) (sin normAngle))
(*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 (.f32 normAngle (*.f32 normAngle normAngle)) u) u) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 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))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (.f32 #s(literal 1/120 binary32) (.f32 u u)) (/.f32 (.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 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))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (fma.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (/.f32 (.f32 u u) (sin.f32 normAngle)))) (/.f32 (.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle))))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) 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))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 u (.f32 u u) (neg.f32 u)) (.f32 #s(literal 1/120 binary32) u))) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) 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))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 u (.f32 u u) (neg.f32 u)) (.f32 #s(literal 1/120 binary32) u))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 u (.f32 u u) (neg.f32 u)) (.f32 #s(literal -1/5040 binary32) u)))) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 u (.f32 u u) (neg.f32 u)) (.f32 #s(literal 1/120 binary32) u)))) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) u)
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(/ (* n1_i (* normAngle u)) (sin normAngle))
(.f32 n1_i (.f32 (/.f32 normAngle (sin.f32 normAngle)) u))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (.f32 (.f32 (.f32 normAngle (*.f32 normAngle normAngle)) u) u) (sin.f32 normAngle)))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 (.f32 u u) (fma.f32 (.f32 n1_i #s(literal 1/120 binary32)) (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (/.f32 (.f32 u u) (sin.f32 normAngle))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle)))) (sin.f32 normAngle))))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 n1_i (/.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (sin.f32 normAngle)) (.f32 (.f32 u u) (fma.f32 (.f32 n1_i #s(literal 1/120 binary32)) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (.f32 (.f32 n1_i #s(literal -1/5040 binary32)) (/.f32 (.f32 u (.f32 u (pow.f32 normAngle #s(literal 7 binary32)))) (sin.f32 normAngle)))))) (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(* n1_i u)
(*.f32 n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (*.f32 n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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 (* n1_i u)))))
(fma.f32 n1_i u (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) u) (.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u)))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 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))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) u) (.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u)))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 n1_i (.f32 #s(literal -1/5040 binary32) u)))))) (neg.f32 (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) u) (.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u)))))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u)))) (*.f32 n1_i u))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i normAngle)
(/.f32 n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))) (.f32 (neg.f32 normAngle) normAngle) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle)
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))

rewrite630.0ms (4.4%)

Memory

-5.1MiB live, 513.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 486×	`lower-*.f64`
4 460×	`lower-*.f32`
4 452×	`lower-fma.f64`
4 436×	`lower-fma.f32`
4 278×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	355
0	106	334
1	367	330
2	2523	327
0	8438	323

Stop Event

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

Counts

26 → 1 016

Calls

Call 1

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

Outputs
(+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(pow.f32 (/.f32 (fma.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i)) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) #s(literal -1 binary32))
(fma.f32 n0_i (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 normAngle (.f32 (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) n0_i) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (.f32 normAngle (cos.f32 normAngle)) (.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) n0_i (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 n0_i #s(literal 1 binary32)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n1_i (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 normAngle #s(literal 1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 normAngle (/.f32 #s(literal 1 binary32) n1_i)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) #s(literal -1 binary32)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal -1 binary32) (/.f32 n0_i (.f32 (tan.f32 normAngle) (/.f32 #s(literal 1 binary32) normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (/.f32 #s(literal 1 binary32) (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (tan.f32 normAngle) (/.f32 #s(literal 1 binary32) normAngle))) (/.f32 n0_i #s(literal -1 binary32)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n0_i #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (tan.f32 normAngle) (/.f32 #s(literal 1 binary32) normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 normAngle #s(literal -1 binary32)) (/.f32 (neg.f32 n1_i) (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n1_i #s(literal 1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n1_i)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (neg.f32 n1_i) (sin.f32 normAngle)) (/.f32 normAngle #s(literal -1 binary32)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) #s(literal -1 binary32)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 n1_i #s(literal -1 binary32)) (/.f32 (neg.f32 normAngle) (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n1_i #s(literal 1 binary32)) (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 normAngle #s(literal 1 binary32)) (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n0_i #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (.f32 n0_i normAngle) (sin.f32 normAngle)) (/.f32 (cos.f32 normAngle) #s(literal -1 binary32)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (.f32 n0_i normAngle) #s(literal -1 binary32)) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 normAngle #s(literal -1 binary32)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) #s(literal -1 binary32)) (/.f32 normAngle (sin.f32 normAngle)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 n0_i (/.f32 #s(literal -1 binary32) normAngle)) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 n0_i (/.f32 #s(literal -1 binary32) (cos.f32 normAngle))) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) normAngle)) (/.f32 n0_i (tan.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (cos.f32 normAngle))) (/.f32 n0_i (/.f32 (sin.f32 normAngle) normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)) (/.f32 (neg.f32 n0_i) (sin.f32 normAngle)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(-.f32 (/.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle))) (/.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle))))
(-.f32 (/.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i)) (sin.f32 normAngle))) (/.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i)) (sin.f32 normAngle))))
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(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i)) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))))))
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(/.f32 (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i)) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))))
(/.f32 (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (/.f32 (-.f32 (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))
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(/.f32 (fma.f32 normAngle (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) n0_i)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (.f32 (/.f32 #s(literal -1 binary32) (.f32 n0_i normAngle)) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 #s(literal -1 binary32) (.f32 n0_i normAngle)) (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
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(/.f32 (fma.f32 normAngle (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 #s(literal 1 binary32) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) n0_i)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) (.f32 n0_i normAngle)) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) (.f32 n0_i normAngle)) (tan.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))))
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(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 #s(literal 1 binary32) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (+.f32 (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (+.f32 (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (sin.f32 normAngle)))
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(/.f32 (fma.f32 (.f32 normAngle n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (sin.f32 normAngle) n0_i)) (.f32 (sin.f32 normAngle) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
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(/.f32 (fma.f32 (.f32 normAngle n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (sin.f32 normAngle) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 #s(literal 1 binary32) n0_i))) (.f32 (sin.f32 normAngle) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
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(/.f32 (fma.f32 (.f32 normAngle n1_i) (sin.f32 normAngle) (.f32 (sin.f32 normAngle) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (sin.f32 normAngle) (.f32 (sin.f32 normAngle) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) n0_i)) (.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
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(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
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(fma.f32 (.f32 u #s(literal -1/6 binary32)) (.f32 u u) (*.f32 u #s(literal 1/6 binary32)))
(-.f32 (/.f32 (.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32)))) (-.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u #s(literal 1/6 binary32)))) (/.f32 (.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u #s(literal 1/6 binary32))) (-.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u #s(literal 1/6 binary32)))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 (.f32 u (.f32 u u)) (.f32 u (.f32 u u))) #s(literal -1/216 binary32)) (.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32))) (fma.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (-.f32 (.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u #s(literal 1/6 binary32))) (.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (*.f32 u #s(literal 1/6 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32)))) (.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u #s(literal 1/6 binary32)))) (-.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u #s(literal 1/6 binary32))))
(/.f32 (.f32 u (fma.f32 (.f32 (.f32 u (.f32 u u)) (.f32 u (.f32 u u))) #s(literal -1/216 binary32) #s(literal 1/216 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (.f32 u (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 u (.f32 u u)) (.f32 u (.f32 u u))) #s(literal -1/216 binary32) #s(literal 1/216 binary32)) u) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) u) (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 (.f32 u (.f32 u u)) (.f32 u (.f32 u u))) #s(literal -1/216 binary32)) (.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32)))) (neg.f32 (fma.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (-.f32 (.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u #s(literal 1/6 binary32))) (.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (*.f32 u #s(literal 1/6 binary32)))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32)))) (.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u #s(literal 1/6 binary32))))) (neg.f32 (-.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (.f32 u (fma.f32 (.f32 (.f32 u (.f32 u u)) (.f32 u (.f32 u u))) #s(literal -1/216 binary32) #s(literal 1/216 binary32)))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (.f32 u (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)))) (neg.f32 (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32))))
(/.f32 (neg.f32 (.f32 (fma.f32 (.f32 (.f32 u (.f32 u u)) (.f32 u (.f32 u u))) #s(literal -1/216 binary32) #s(literal 1/216 binary32)) u)) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) u)) (neg.f32 (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal -1/6 binary32))))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) u)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 normAngle (.f32 (.f32 normAngle u) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u))
(+.f32 normAngle (neg.f32 (*.f32 normAngle u)))
(+.f32 (neg.f32 (*.f32 normAngle u)) normAngle)
(+.f32 (.f32 normAngle #s(literal 1 binary32)) (neg.f32 (.f32 normAngle u)))
(+.f32 (.f32 #s(literal 1 binary32) normAngle) (neg.f32 (.f32 normAngle u)))
(pow.f32 (/.f32 (fma.f32 normAngle (-.f32 normAngle (neg.f32 (.f32 normAngle u))) (.f32 (.f32 normAngle normAngle) (.f32 u u))) (fma.f32 normAngle (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u u)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)) (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (*.f32 (neg.f32 normAngle) normAngle))) #s(literal -1 binary32))
(fma.f32 normAngle #s(literal 1 binary32) (neg.f32 (*.f32 normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(fma.f32 #s(literal 1 binary32) normAngle (neg.f32 (*.f32 normAngle u)))
(fma.f32 u (neg.f32 normAngle) normAngle)
(fma.f32 (neg.f32 normAngle) u normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(fma.f32 #s(literal -1 binary32) (*.f32 normAngle u) normAngle)
(-.f32 normAngle (*.f32 normAngle u))
(-.f32 (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 u u)) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))) (/.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))))
(-.f32 (/.f32 (.f32 normAngle normAngle) (-.f32 normAngle (neg.f32 (.f32 normAngle u)))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 u u)) (-.f32 normAngle (neg.f32 (.f32 normAngle u)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 normAngle (-.f32 normAngle (neg.f32 (.f32 normAngle u))) (.f32 (.f32 normAngle normAngle) (.f32 u u))) (fma.f32 normAngle (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u u)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)) (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (*.f32 (neg.f32 normAngle) normAngle))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 normAngle (-.f32 normAngle (neg.f32 (.f32 normAngle u))) (.f32 (.f32 normAngle normAngle) (.f32 u u))) (fma.f32 normAngle (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u u))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)) (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (*.f32 (neg.f32 normAngle) normAngle)))))
(/.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u u))))) (fma.f32 normAngle (-.f32 normAngle (neg.f32 (.f32 normAngle u))) (.f32 (.f32 normAngle normAngle) (.f32 u u))))
(/.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u u))))) (fma.f32 normAngle normAngle (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u u)) (neg.f32 (.f32 (*.f32 normAngle u) normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (*.f32 (neg.f32 normAngle) normAngle)) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)))
(/.f32 (neg.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u u)))))) (neg.f32 (fma.f32 normAngle (-.f32 normAngle (neg.f32 (.f32 normAngle u))) (.f32 (.f32 normAngle normAngle) (.f32 u u)))))
(/.f32 (neg.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u u)))))) (neg.f32 (fma.f32 normAngle normAngle (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u u)) (neg.f32 (.f32 (*.f32 normAngle u) normAngle))))))
(/.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (*.f32 (neg.f32 normAngle) normAngle))) (neg.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))))
(/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u u))) (-.f32 normAngle (neg.f32 (*.f32 normAngle u))))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u)))) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))) normAngle) (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) normAngle) (+.f32 #s(literal 1 binary32) u))
(/.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u u)) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))) (.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)) (.f32 normAngle normAngle))) (*.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u u))))))) (neg.f32 (neg.f32 (fma.f32 normAngle (-.f32 normAngle (neg.f32 (.f32 normAngle u))) (.f32 (.f32 normAngle normAngle) (.f32 u u))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (*.f32 (neg.f32 normAngle) normAngle)))) (neg.f32 (neg.f32 (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)))))
(/.f32 (neg.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u u)))) (neg.f32 (-.f32 normAngle (neg.f32 (*.f32 normAngle u)))))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))))) (neg.f32 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))) normAngle)) (neg.f32 (fma.f32 u (+.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) normAngle)) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u u))))) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (-.f32 normAngle (neg.f32 (.f32 normAngle u))) (.f32 (.f32 normAngle normAngle) (*.f32 u u)))))
(.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (.f32 (neg.f32 normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle))))
(pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u)))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u)))))
(/.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 (sin.f32 (neg.f32 (*.f32 normAngle u))) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle u)) (neg.f32 n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 (neg.f32 n1_i) (sin.f32 (.f32 normAngle u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 (sin.f32 (.f32 normAngle u)) (neg.f32 n1_i))) (sin.f32 normAngle))
(/.f32 (neg.f32 (.f32 (neg.f32 n1_i) (sin.f32 (.f32 normAngle u)))) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (sin.f32 (.f32 normAngle u)) #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i)
(.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 n1_i #s(literal 1 binary32)))
(.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) n1_i)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (*.f32 normAngle u))))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (.f32 normAngle u)) (/.f32 #s(literal 1 binary32) n1_i)))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (.f32 n1_i (sin.f32 (*.f32 normAngle u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (/.f32 (neg.f32 n1_i) (sin.f32 normAngle)) (/.f32 (sin.f32 (.f32 normAngle u)) #s(literal -1 binary32)))
(.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(.f32 (/.f32 n1_i #s(literal -1 binary32)) (/.f32 (sin.f32 (.f32 normAngle u)) (neg.f32 (sin.f32 normAngle))))
(.f32 (/.f32 n1_i #s(literal 1 binary32)) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 normAngle u)) #s(literal 1 binary32)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 normAngle u)) #s(literal -1 binary32)) (/.f32 (neg.f32 n1_i) (sin.f32 normAngle)))
(neg.f32 (/.f32 (neg.f32 n1_i) (sin.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) n1_i)) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 normAngle))) (/.f32 (neg.f32 n1_i) (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sin.f32 normAngle) n1_i))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))))
(/.f32 (neg.f32 n1_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 n1_i)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 #s(literal 1 binary32) n1_i) (sin.f32 normAngle))
(/.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (sin.f32 normAngle))
(/.f32 (neg.f32 (neg.f32 (neg.f32 n1_i))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 n1_i #s(literal 1 binary32))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 n1_i #s(literal -1 binary32))) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) n1_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32))) (neg.f32 (sin.f32 normAngle)))
(*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n1_i) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n1_i #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 n1_i) (sin.f32 normAngle)))
(*.f32 (neg.f32 n1_i) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 n1_i #s(literal -1 binary32)))
(.f32 (.f32 n1_i #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 n1_i #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

eval405.0ms (2.8%)

Memory: 3.3MiB live, 391.9MiB allocated
Compiler: Compiled 55 266 to 4 124 computations (92.5% saved)

prune292.0ms (2%)

Memory

-14.7MiB live, 677.8MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1 975	26	2 001
Fresh	6	3	9
Picked	4	1	5
Done	0	0	0
Total	1 985	30	2 015

Accuracy

100.0%

Counts

2 015 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
	98.3%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(approx (* (sin (* u normAngle)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)))
	98.8%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 normAngle (.f32 (.f32 normAngle u) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u))))
	98.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle)))) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
▶	98.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) 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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
	82.0%	(+.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))
▶	82.9%	(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
	98.6%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
▶	99.4%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i))))
	99.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 n0_i #s(literal 1/18 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
▶	98.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
✓	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
	98.0%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i)))
	82.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (*.f32 u n1_i)))
	37.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
	60.0%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) #s(approx (sin normAngle) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle)))))
	60.0%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)))))
	59.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
	48.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i) (fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 normAngle (*.f32 normAngle u)) n0_i))))
	38.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i) (.f32 n1_i (.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
	60.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))
	36.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 (-.f32 n1_i 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 (neg.f32 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))))
▶	38.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))

Compiler

Compiled 1 220 to 726 computations (40.5% saved)

simplify439.0ms (3.1%)

Memory

-0.1MiB live, 843.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i)
✓	cost-diff	64	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
✓	cost-diff	0	(.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i)
✓	cost-diff	0	#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))
✓	cost-diff	0	(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i)
✓	cost-diff	64	(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	0	(*.f32 n0_i (-.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 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
✓	cost-diff	160	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
✓	cost-diff	0	(*.f32 n1_i u)
✓	cost-diff	0	#s(approx (+ (* n0_i (- 1 u)) (* u n1_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)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
✓	cost-diff	0	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
✓	cost-diff	224	(-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))

Rules

17 546×	`lower-fma.f64`
17 530×	`lower-fma.f32`
3 946×	`lower-+.f64`
3 942×	`lower-+.f32`
3 338×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	724
0	108	706
1	207	667
2	477	658
3	1578	627
4	5460	627
0	8132	611

Stop Event

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

Calls

Call 1

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

Outputs
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (.f32 u (fma.f32 u (.f32 u n1_i) (-.f32 n0_i n1_i)))) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (.f32 u (fma.f32 u (.f32 u n1_i) (-.f32 n0_i n1_i)))) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(*.f32 normAngle normAngle)
normAngle
(.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (*.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
(.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (.f32 u (fma.f32 u (.f32 u n1_i) (-.f32 n0_i n1_i)))))
#s(literal -1/6 binary32)
(-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (.f32 u (fma.f32 u (*.f32 u n1_i) (-.f32 n0_i n1_i))))
(fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u))))
(fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (.f32 u (.f32 u (*.f32 u n1_i))))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u (neg.f32 n0_i) n0_i)
n0_i
(neg.f32 u)
u
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(.f32 n1_i (.f32 u (*.f32 u u)))
(.f32 u (.f32 u (*.f32 u n1_i)))
n1_i
(.f32 u (.f32 u u))
(*.f32 u u)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(-.f32 n1_i n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 u n1_i)))
#s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u))
#s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 u n1_i))
(*.f32 n1_i u)
(*.f32 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)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
u
n1_i
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 u (neg.f32 n0_i) n0_i)
n0_i
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
(fma.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u)) (.f32 n0_i #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))))
(.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i)
(.f32 n0_i #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)))
#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))
#s(literal 1 binary32)
n0_i
(.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i)
(.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 normAngle u)) u)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 normAngle u)) u))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 normAngle u)) u)
(*.f32 normAngle normAngle)
normAngle
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
u
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal -1/6 binary32)
#s(literal 1/6 binary32)
n1_i
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) (.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 normAngle u)) u))))
(.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i)
(/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 normAngle (neg.f32 u) normAngle)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
normAngle
(/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
#s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(*.f32 normAngle normAngle)
#s(literal -1/6 binary32)
n0_i
(.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i)
(.f32 n1_i #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 normAngle u)) u)))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 normAngle u)) u))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)
(fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 normAngle u)) u)
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal 1/6 binary32)
n1_i

localize254.0ms (1.8%)

Memory

16.1MiB live, 527.5MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	#s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
✓	accuracy	99.2%	#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))
✓	accuracy	98.9%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
✓	accuracy	99.5%	(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
✓	accuracy	99.2%	#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))
✓	accuracy	98.9%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	70.8%	#s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	99.9%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
✓	accuracy	99.6%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	accuracy	98.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
✓	accuracy	100.0%	(*.f32 n1_i u)
✓	accuracy	98.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))
✓	accuracy	39.1%	#s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u))
✓	accuracy	99.2%	(.f32 u (.f32 u u))
✓	accuracy	98.9%	(.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (*.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
✓	accuracy	98.8%	(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
✓	accuracy	75.8%	(-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))

Samples

136.0ms	251×	0	valid
4.0ms	5×	1	valid

Compiler

Compiled 549 to 59 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 115.0ms

ival-mult: 72.0ms (62.8% of total)

ival-add: 15.0ms (13.1% of total)

ival-sin: 10.0ms (8.7% of total)

const: 7.0ms (6.1% of total)

ival-div: 6.0ms (5.2% of total)

ival-sub: 3.0ms (2.6% of total)

adjust: 1.0ms (0.9% of total)

ival-neg: 1.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series44.0ms (0.3%)

Memory

2.0MiB live, 120.5MiB allocated

Counts

26 → 768

Calls

Call 1

Inputs
#<alt (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))>
#<alt #s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))>
#<alt (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))>
#<alt (*.f32 normAngle normAngle)>
#<alt #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))>
#<alt #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u))>
#<alt (*.f32 n1_i u)>
#<alt (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))>
#<alt #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))>
#<alt (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))>
#<alt (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i)>
#<alt #s(approx (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32))>
#<alt (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i)>
#<alt (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))>
#<alt (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))>
#<alt (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i)>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))>
#<alt (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (.f32 u (*.f32 u u)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))>
#<alt (.f32 u (.f32 u u))>
#<alt (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))>
#<alt #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))>
#<alt (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))>
#<alt #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))>

Outputs
#<alt (- (* n1_i (pow u 3)) (* n1_i u))>
#<alt (- (+ (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* n1_i (pow u 3))) (* n1_i u))>
#<alt (- (+ (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* n1_i (pow u 3))) (* n1_i u))>
#<alt (- (+ (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* n1_i (pow u 3))) (* n1_i u))>
#<alt (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))>
#<alt (* n0_i (- (+ (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (/ (* n1_i (pow u 3)) n0_i)) (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))))>
#<alt (* n0_i (- (+ (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (/ (* n1_i (pow u 3)) n0_i)) (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))))>
#<alt (* n0_i (- (+ (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (/ (* n1_i (pow u 3)) n0_i)) (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))>
#<alt (* -1 (* n0_i (- (+ 1 (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* (pow (- 1 u) 2) (- u 1)))) u)))>
#<alt (* -1 (* n0_i (- (+ 1 (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* (pow (- 1 u) 2) (- u 1)))) u)))>
#<alt (* -1 (* n0_i (- (+ 1 (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* (pow (- 1 u) 2) (- u 1)))) u)))>
#<alt (* u (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))>
#<alt (* u (- (+ n0_i (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (* 2 n0_i)))))) n1_i))>
#<alt (* u (- (+ n0_i (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (+ (* 2 n0_i) (* u (+ n1_i (* -1 n0_i))))))))) n1_i))>
#<alt (* u (- (+ n0_i (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (+ (* 2 n0_i) (* u (+ n1_i (* -1 n0_i))))))))) n1_i))>
#<alt (* (pow u 3) (+ n1_i (* -1 n0_i)))>
#<alt (* (pow u 3) (+ n1_i (+ (* -1 n0_i) (+ (* 2 (/ n0_i u)) (/ n0_i u)))))>
#<alt (* (pow u 3) (- (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (+ (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ n1_i (pow u 2))))>
#<alt (* (pow u 3) (- (+ n1_i (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (+ (/ n0_i u) (/ n0_i (pow u 2)))))))) (/ n1_i (pow u 2))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ n0_i (* 2 n0_i)) u))))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ n0_i (+ (* -1 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u)) (* 2 n0_i))) u))))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ n0_i (+ (* -1 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u)) (* 2 n0_i))) u))))))>
#<alt (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))>
#<alt (- (+ (* n1_i (- (pow u 3) u)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* -1 (* n0_i u))))>
#<alt (- (+ (* n1_i (- (pow u 3) u)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* -1 (* n0_i u))))>
#<alt (- (+ (* n1_i (- (pow u 3) u)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* -1 (* n0_i u))))>
#<alt (* n1_i (- (pow u 3) u))>
#<alt (* n1_i (- (+ (/ (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) n1_i) (pow u 3)) (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))))>
#<alt (* n1_i (- (+ (/ (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) n1_i) (pow u 3)) (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))))>
#<alt (* n1_i (- (+ (/ (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) n1_i) (pow u 3)) (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* -1 (pow u 3))) (* -1 u))))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* -1 (pow u 3))) (* -1 u))))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* -1 (pow u 3))) (* -1 u))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -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 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* -1 (* n0_i (- (+ u (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))) (* u (+ (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i)))))))) n0_i)))>
#<alt (* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u))))>
#<alt (* (pow u 3) (- (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2))))>
#<alt (* (pow u 3) (- (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))) (/ n0_i (pow u 2))))>
#<alt (* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (/ n0_i n1_i))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (* u (+ n1_i (* -1 n0_i)))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (* u (+ n1_i (* -1 n0_i)))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
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#<alt (* -1 u)>
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#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
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#<alt (+ (* 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)))))))>
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#<alt n0_i>
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#<alt 1>
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#<alt (- 1 u)>
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#<alt (- (+ 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)>
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#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 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))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (- 1 u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 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)>
#<alt (- (+ 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)>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ 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))))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (sin normAngle)>
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))>
#<alt (* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))>
#<alt (* 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))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt 1>
#<alt (+ 1 (* -2 u))>
#<alt (+ 1 (* u (- u 2)))>
#<alt (+ 1 (* u (- u 2)))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))>
#<alt (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))>
#<alt (+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))>
#<alt (+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))>
#<alt (+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))>
#<alt (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))>
#<alt (* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))>
#<alt (* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))>
#<alt (* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))>
#<alt (* 1/6 (* n0_i (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))>
#<alt (* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))>
#<alt (* -1/6 (* u (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)))>
#<alt (* u (+ (* -1/6 (* u (+ n0_i (* 2 n0_i)))) (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))>
#<alt (* u (+ (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))>
#<alt (* u (+ (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))>
#<alt (* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))>
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (+ n0_i (* 2 n0_i)) u))))>
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i) (pow u 2))))))>
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i) (pow u 2))))))>
#<alt (* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/6 (/ (+ n0_i (* 2 n0_i)) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))>
#<alt (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))>
#<alt (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))>
#<alt (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i))))>
#<alt (* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i))))>
#<alt (* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i))))>
#<alt (* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))>
#<alt (* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (pow u 3)>
#<alt (* 1/6 u)>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* -1/6 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))>
#<alt (* 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))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt u>
#<alt (+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))>
#<alt (+ 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))))>
#<alt (+ 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))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>

Calls

192 calls:

Time	Variable		Point	Expression
2.0ms	n0_i	@	0	(+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i))
2.0ms	n1_i	@	inf	(+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i))
2.0ms	u	@	-inf	(* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))
1.0ms	n0_i	@	0	(- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i))
1.0ms	normAngle	@	0	(+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i))

simplify465.0ms (3.2%)

Memory

31.0MiB live, 772.5MiB allocated

Algorithm

1×	egg-herbie

Rules

12 602×	`lower-fma.f64`
12 602×	`lower-fma.f32`
6 692×	`lower-*.f64`
6 692×	`lower-*.f32`
6 214×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	884	14886
1	3025	13715
0	8773	13042

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 755

Calls

Call 1

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

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

rewrite765.0ms (5.3%)

Memory

-156.9MiB live, 875.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 048×	`lower-*.f64`
7 018×	`lower-*.f32`
6 066×	`lower-fma.f64`
6 050×	`lower-fma.f32`
3 246×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	515
0	108	465
1	429	460
2	3552	460
0	9737	451

Stop Event

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

Counts

26 → 475

Calls

Call 1

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

Outputs
(+.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(+.f32 (.f32 n1_i (.f32 u (.f32 u u))) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(+.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (-.f32 (.f32 n1_i (.f32 u (*.f32 u u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(+.f32 (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))))
(+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (*.f32 u (-.f32 n1_i n0_i)))) (neg.f32 n0_i))
(+.f32 (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))))
(pow.f32 (/.f32 (fma.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) (fma.f32 u (.f32 n1_i (.f32 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))))) (-.f32 (.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))))) (.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) (.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) (fma.f32 u (-.f32 n1_i n0_i) n0_i))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))) (.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (-.f32 (.f32 n1_i (.f32 u (*.f32 u u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))))) #s(literal -1 binary32))
(fma.f32 u (.f32 n1_i (.f32 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(fma.f32 u (.f32 n1_i (.f32 u u)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 u (.f32 (.f32 u u) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(fma.f32 u (.f32 (.f32 u u) n1_i) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 n0_i (neg.f32 u) n0_i) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 n1_i (.f32 u (.f32 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(fma.f32 n1_i (.f32 u (.f32 u u)) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (.f32 u u) (.f32 u n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(fma.f32 (.f32 u u) (.f32 u n1_i) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (.f32 u (.f32 u u)) n1_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(fma.f32 (.f32 u (.f32 u u)) n1_i (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (.f32 u n1_i) (.f32 u u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(fma.f32 (.f32 u n1_i) (.f32 u u) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 #s(literal -1 binary32) (fma.f32 u (-.f32 n1_i n0_i) n0_i) (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))))
(fma.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 n0_i (neg.f32 u) n0_i))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (.f32 (.f32 n1_i (.f32 u (.f32 u u))) (.f32 (.f32 u (.f32 u u)) (.f32 n1_i (.f32 n1_i (.f32 u (.f32 u u))))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 n1_i (.f32 u (.f32 u u))) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 n0_i (neg.f32 u) n0_i))) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (.f32 n1_i (.f32 u (.f32 u u)))))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (.f32 n1_i (.f32 u (*.f32 u u)))))) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (-.f32 #s(literal 1 binary32) u) (-.f32 (.f32 n1_i (.f32 u (.f32 u u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (.f32 n1_i (.f32 u u)) u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(fma.f32 (.f32 n1_i (.f32 u u)) u (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(fma.f32 (.f32 (.f32 u n1_i) u) u (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i))))
(fma.f32 (.f32 (.f32 u n1_i) u) u (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(-.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
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(-.f32 (/.f32 (.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))))) (fma.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) (fma.f32 u (.f32 n1_i (.f32 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))))) (/.f32 (.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) (.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) (fma.f32 u (-.f32 n1_i n0_i) n0_i))) (fma.f32 (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 u (.f32 n1_i (.f32 u u)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 (fma.f32 u (-.f32 n1_i n0_i) n0_i) (fma.f32 u (.f32 n1_i (.f32 u u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))))))
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(+.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u #s(literal 1/6 binary32)))
(fma.f32 u #s(literal 1/6 binary32) (.f32 u (.f32 (*.f32 u u) #s(literal -1/6 binary32))))
(fma.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32)) (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 (.f32 u u) (.f32 u #s(literal -1/6 binary32)) (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 (.f32 u (.f32 u u)) #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 #s(literal -1/6 binary32) (.f32 u (.f32 u u)) (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 #s(literal 1/6 binary32) u (.f32 u (.f32 (*.f32 u u) #s(literal -1/6 binary32))))
(fma.f32 (.f32 (.f32 u u) #s(literal -1/6 binary32)) u (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 (.f32 u #s(literal -1/6 binary32)) (.f32 u u) (*.f32 u #s(literal 1/6 binary32)))
(/.f32 (fma.f32 (.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) (.f32 u (.f32 u u)))) #s(literal -1/216 binary32) (.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32))) (fma.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (-.f32 (.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u #s(literal 1/6 binary32))) (.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (*.f32 u #s(literal 1/6 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32)))) (.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u #s(literal 1/6 binary32)))) (-.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u #s(literal 1/6 binary32))))
(/.f32 (.f32 u (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (.f32 u (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) u) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) u) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) u)
#s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(+.f32 #s(literal 1/6 binary32) (.f32 (.f32 u u) #s(literal -1/6 binary32)))
(+.f32 (.f32 (.f32 u u) #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))) #s(literal -1 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(fma.f32 (*.f32 u #s(literal -1/6 binary32)) u #s(literal 1/6 binary32))
(-.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u))) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u))) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)))) (-.f32 #s(literal 1/6 binary32) (.f32 (.f32 u u) #s(literal -1/6 binary32))))
(.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(exp.f32 (neg.f32 (.f32 (log.f32 #s(approx (sin normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 normAngle #s(literal -1/6 binary32)) normAngle))) #s(literal -1 binary32))))
(pow.f32 #s(approx (sin normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 normAngle #s(literal -1/6 binary32)) normAngle)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 normAngle #s(literal -1/6 binary32)) normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 normAngle #s(literal -1/6 binary32)) normAngle))))
(/.f32 #s(approx (sin normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 normAngle #s(literal -1/6 binary32)) normAngle)) #s(literal 1 binary32))
(/.f32 (neg.f32 #s(approx (sin normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 normAngle #s(literal -1/6 binary32)) normAngle))) #s(literal -1 binary32))
#s(approx (sin normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 normAngle #s(literal -1/6 binary32)) normAngle))
(.f32 #s(approx (sin normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 normAngle #s(literal -1/6 binary32)) normAngle)) #s(literal 1 binary32))

eval227.0ms (1.6%)

Memory: 6.8MiB live, 347.1MiB allocated
Compiler: Compiled 73 218 to 3 220 computations (95.6% saved)

prune167.0ms (1.2%)

Memory

-3.8MiB live, 358.2MiB allocated

Pruning

35 alts after pruning (33 fresh and 2 done)

	Pruned	Kept	Total
New	1 491	21	1 512
Fresh	12	12	24
Picked	4	1	5
Done	0	1	1
Total	1 507	35	1 542

Accuracy

100.0%

Counts

1 542 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
	98.8%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 normAngle (.f32 (.f32 normAngle u) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u))))
	98.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle)))) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
	97.8%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(approx (+ (* (* u u) -1/6) 1/6) (.f32 (.f32 u u) #s(literal -1/6 binary32)))) u)) n1_i))
▶	97.8%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i) #s(approx ( (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)))
	98.6%	(+.f32 (.f32 (.f32 #s(approx (sin (* (- 1 u) normAngle)) (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
	83.2%	(+.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))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))) (.f32 u #s(literal 1/120 binary32)))) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))) u)) n1_i))
	82.9%	(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(approx (+ (* (* u u) -1/6) 1/6) #s(literal 1/6 binary32))) u)) n1_i))
	82.1%	(+.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 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i))
	98.6%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	98.6%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 (.f32 u (*.f32 u u)) (-.f32 n1_i n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
▶	99.4%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 #s(literal 3 binary32) n0_i)) n0_i)) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
	99.1%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (*.f32 u (-.f32 (-.f32 (neg.f32 n0_i) n0_i) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
	99.1%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
	98.8%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
▶	60.3%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
	99.1%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))))
	36.9%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 (neg.f32 (.f32 u (.f32 u u))) (fma.f32 #s(literal -1/6 binary32) (.f32 (-.f32 n0_i n1_i) (.f32 normAngle normAngle)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (/.f32 (fma.f32 (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i)) (neg.f32 (-.f32 n1_i n0_i))) (neg.f32 u))) (neg.f32 u))))))
	38.8%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))))
	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i))))
	99.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 n0_i #s(literal 1/18 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
	98.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (-.f32 n0_i (*.f32 n0_i u))))
	98.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))))))
✓	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
	82.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (*.f32 u n1_i)))
	37.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
	59.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
▶	48.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
	38.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i) (.f32 n1_i (.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
	60.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 u (neg.f32 n0_i) n0_i)))
	36.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (-.f32 n1_i 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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i 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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
✓	38.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))

Compiler

Compiled 1 643 to 945 computations (42.5% saved)

simplify377.0ms (2.6%)

Memory

37.3MiB live, 633.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	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) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i)
✓	cost-diff	64	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i) #s(approx ( (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
✓	cost-diff	32	(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i)
✓	cost-diff	64	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	cost-diff	64	(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
✓	cost-diff	64	(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 normAngle normAngle)) (neg.f32 u))
✓	cost-diff	0	(fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))
✓	cost-diff	0	#s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.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)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
✓	cost-diff	512	(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
✓	cost-diff	0	#s(approx (/ (sin (+ (* u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))
✓	cost-diff	0	(.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32)))
✓	cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 #s(literal 3 binary32) n0_i)) n0_i)) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
✓	cost-diff	0	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 #s(literal 3 binary32) n0_i)) n0_i)) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
✓	cost-diff	32	(fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 #s(literal 3 binary32) n0_i)) n0_i))

Rules

15 172×	`lower-fma.f64`
15 152×	`lower-fma.f32`
5 310×	`lower-*.f64`
5 284×	`lower-*.f32`
2 478×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	898
0	139	882
1	292	835
2	732	781
3	2731	765
4	5475	762
0	8206	732

Stop Event

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

Calls

Call 1

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

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

localize251.0ms (1.7%)

Memory

-16.6MiB live, 429.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
✓	accuracy	99.3%	#s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
✓	accuracy	97.9%	#s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u))
✓	accuracy	99.5%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
✓	accuracy	99.3%	(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
✓	accuracy	60.3%	#s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i))
✓	accuracy	57.7%	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	accuracy	100.0%	#s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))))
✓	accuracy	99.5%	(fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u))
✓	accuracy	99.3%	(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))
✓	accuracy	98.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
✓	accuracy	99.6%	(.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32)))
✓	accuracy	70.8%	#s(approx (/ (sin (+ (* u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))
✓	accuracy	60.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
✓	accuracy	99.5%	(fma.f32 u (-.f32 n1_i n0_i) (*.f32 #s(literal 3 binary32) n0_i))
✓	accuracy	99.4%	(.f32 u (-.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 #s(literal 3 binary32) n0_i)) n0_i)) n1_i))
✓	accuracy	99.4%	(fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 #s(literal 3 binary32) n0_i)) n0_i))
✓	accuracy	98.9%	(.f32 #s(literal -1/6 binary32) #s(approx (- (+ ( (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 #s(literal 3 binary32) n0_i)) n0_i)) n1_i))))

Samples

130.0ms	251×	0	valid
4.0ms	5×	1	valid

Compiler

Compiled 618 to 81 computations (86.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

ival-mult: 55.0ms (51.6% of total)

ival-add: 19.0ms (17.8% of total)

ival-sin: 11.0ms (10.3% of total)

ival-div: 9.0ms (8.4% of total)

ival-sub: 5.0ms (4.7% of total)

const: 4.0ms (3.8% of total)

ival-neg: 2.0ms (1.9% of total)

adjust: 1.0ms (0.9% of total)

exact: 1.0ms (0.9% of total)

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

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

series77.0ms (0.5%)

Memory

6.4MiB live, 79.5MiB allocated

Counts

27 → 888

Calls

Call 1

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

Outputs
#<alt (* n1_i (pow u 2))>
#<alt (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2)))>
#<alt (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2)))>
#<alt (+ (* n0_i (- (* u (+ 3 (* -1 u))) 2)) (* n1_i (pow u 2)))>
#<alt (* n0_i (- (* u (+ 3 (* -1 u))) 2))>
#<alt (* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) 2))>
#<alt (* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) 2))>
#<alt (* n0_i (- (+ (* u (+ 3 (* -1 u))) (/ (* n1_i (pow u 2)) n0_i)) 2))>
#<alt (* -1 (* n0_i (+ 2 (* u (- u 3)))))>
#<alt (* -1 (* n0_i (+ 2 (+ (* -1 (/ (* n1_i (pow u 2)) n0_i)) (* u (- u 3))))))>
#<alt (* -1 (* n0_i (+ 2 (+ (* -1 (/ (* n1_i (pow u 2)) n0_i)) (* u (- u 3))))))>
#<alt (* -1 (* n0_i (+ 2 (+ (* -1 (/ (* n1_i (pow u 2)) n0_i)) (* u (- u 3))))))>
#<alt (+ n0_i (* -3 n0_i))>
#<alt (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u))))>
#<alt (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i))))))>
#<alt (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i))))))>
#<alt (* (pow u 2) (- n1_i n0_i))>
#<alt (* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i))>
#<alt (* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) n0_i))>
#<alt (* (pow u 2) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) n0_i))>
#<alt (* (pow u 2) (- n1_i n0_i))>
#<alt (* (pow u 2) (- (+ n1_i (* 3 (/ n0_i u))) n0_i))>
#<alt (* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (+ n0_i (* -3 n0_i)) u))) u))) n0_i))>
#<alt (* (pow u 2) (- (+ n1_i (* -1 (/ (+ (* -3 n0_i) (* -1 (/ (+ n0_i (* -3 n0_i)) u))) u))) n0_i))>
#<alt (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))>
#<alt (+ n0_i (+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))>
#<alt (+ n0_i (+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))>
#<alt (+ n0_i (+ (* -3 n0_i) (+ (* n1_i (pow u 2)) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))>
#<alt (* n1_i (pow u 2))>
#<alt (* n1_i (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))))>
#<alt (* n1_i (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))))>
#<alt (* n1_i (+ (* -3 (/ n0_i n1_i)) (+ (/ n0_i n1_i) (+ (/ (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))) n1_i) (pow u 2)))))>
#<alt (* n1_i (pow u 2))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))) n1_i)) (* -1 (pow u 2)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -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 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* -1 (* n0_i (- (+ u (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))) (* u (+ (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i)))))))) n0_i)))>
#<alt (* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u))))>
#<alt (* (pow u 3) (- (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2))))>
#<alt (* (pow u 3) (- (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))) (/ n0_i (pow u 2))))>
#<alt (* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (/ n0_i n1_i))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ 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))))))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* n0_i (- 1 u))>
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#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1))))>
#<alt (+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1))))>
#<alt (+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1))))>
#<alt (* n0_i (* u (- (/ n1_i n0_i) 1)))>
#<alt (* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u)))>
#<alt (* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u)))>
#<alt (* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u)))>
#<alt (* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
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#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt n0_i>
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#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
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#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
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#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n1_i u)>
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#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
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#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (- 1 u)>
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#<alt (- (+ 1 (/ (* n1_i u) n0_i)) u)>
#<alt (/ (* n1_i u) n0_i)>
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#<alt (* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))>
#<alt (* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))>
#<alt (/ (* n1_i u) n0_i)>
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#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))>
#<alt 1>
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#<alt (+ 1 (* u (- (/ n1_i n0_i) 1)))>
#<alt (+ 1 (* u (- (/ n1_i n0_i) 1)))>
#<alt (* u (- (/ n1_i n0_i) 1))>
#<alt (* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1))>
#<alt (* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1))>
#<alt (* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1))>
#<alt (* -1 (* u (+ 1 (* -1 (/ n1_i n0_i)))))>
#<alt (* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))>
#<alt (* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))>
#<alt (* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))>
#<alt (/ (* n1_i u) n0_i)>
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#<alt (/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i)>
#<alt (/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i)>
#<alt (- 1 u)>
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#<alt (- (+ 1 (/ (* n1_i u) n0_i)) u)>
#<alt (- (+ 1 (/ (* n1_i u) n0_i)) u)>
#<alt (- 1 u)>
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#<alt (- (+ 1 (/ (* n1_i u) n0_i)) u)>
#<alt (- (+ 1 (/ (* n1_i u) n0_i)) u)>
#<alt (* u (- (* 1/3 (pow normAngle 2)) 1))>
#<alt (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1))>
#<alt (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))>
#<alt (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1))>
#<alt (* 1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))>
#<alt (* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2))))>
#<alt (* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2))))>
#<alt (* 1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))>
#<alt (* -1 u)>
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#<alt (- (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) u)>
#<alt (- (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) u)>
#<alt (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))>
#<alt (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))>
#<alt (* -2 u)>
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#<alt (* u (- (* u (+ 3 (* -1 u))) 2))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 2))>
#<alt (* -1 (pow u 3))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))>
#<alt (* -1 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))>
#<alt (* -2 u)>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) u))>
#<alt (* -1 (* n0_i (- (* -1 (- (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) u)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (- (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) u)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (- (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) u)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (- (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) u)) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))>
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))>
#<alt (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))>
#<alt (- 1 u)>
#<alt (- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)>
#<alt (- (+ 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)>
#<alt (- (+ 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)>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt (/ (sin (* normAngle (- 1 u))) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (* 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)))))))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
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#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
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#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ 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))))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))>
#<alt (+ (* 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))))))>
#<alt (+ (* 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))))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (sin normAngle)>
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
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#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (+ 1 (* -1 u))))>
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#<alt (sin (* normAngle (+ 1 (* -1 u))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))>
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#<alt (* 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))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))>
#<alt (+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))>
#<alt (+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))>
#<alt (+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))>
#<alt (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))>
#<alt (* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))>
#<alt (* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))>
#<alt (* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))>
#<alt (* 1/6 (* n0_i (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))>
#<alt (* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))>
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#<alt (* u (+ (* -1/6 (* u (+ n0_i (* 2 n0_i)))) (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))>
#<alt (* u (+ (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))>
#<alt (* u (+ (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (* u (+ (* -1/6 (* u (+ n1_i (* -1 n0_i)))) (* -1/6 (+ n0_i (* 2 n0_i)))))))>
#<alt (* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))>
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (+ n0_i (* 2 n0_i)) u))))>
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i) (pow u 2))))))>
#<alt (* (pow u 3) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* -1/6 (/ (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i) (pow u 2))))))>
#<alt (* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/6 (/ (+ n0_i (* 2 n0_i)) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))>
#<alt (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))>
#<alt (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))>
#<alt (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))>
#<alt (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i))))>
#<alt (* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i))))>
#<alt (* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i))))>
#<alt (* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))>
#<alt (* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))>
#<alt (* u (- (+ n0_i (* -3 n0_i)) n1_i))>
#<alt (* u (- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i))>
#<alt (* u (- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i))>
#<alt (* u (- (+ n0_i (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (- n1_i n0_i)))))) n1_i))>
#<alt (* (pow u 3) (- n1_i n0_i))>
#<alt (* (pow u 3) (- (+ n1_i (* 3 (/ n0_i u))) n0_i))>
#<alt (* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))) (+ n0_i (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (- n1_i n0_i))>
#<alt (* -1 (* (pow u 3) (+ (* -3 (/ n0_i u)) (* -1 (- n1_i n0_i)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (- n1_i n0_i)) (* -1 (/ (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (- n1_i n0_i)) (* -1 (/ (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)) u)))))>
#<alt (* u (- (* n1_i (pow u 2)) n1_i))>
#<alt (+ (* n0_i (* u (- (* u (+ 3 (* -1 u))) 2))) (* u (- (* n1_i (pow u 2)) n1_i)))>
#<alt (+ (* n0_i (* u (- (* u (+ 3 (* -1 u))) 2))) (* u (- (* n1_i (pow u 2)) n1_i)))>
#<alt (+ (* n0_i (* u (- (* u (+ 3 (* -1 u))) 2))) (* u (- (* n1_i (pow u 2)) n1_i)))>
#<alt (* n0_i (* u (- (* u (+ 3 (* -1 u))) 2)))>
#<alt (* n0_i (+ (* u (- (* u (+ 3 (* -1 u))) 2)) (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)))>
#<alt (* n0_i (+ (* u (- (* u (+ 3 (* -1 u))) 2)) (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)))>
#<alt (* n0_i (+ (* u (- (* u (+ 3 (* -1 u))) 2)) (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)))>
#<alt (* -1 (* n0_i (* u (+ 2 (* u (- u 3))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)) (* u (+ 2 (* u (- u 3)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)) (* u (+ 2 (* u (- u 3)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* u (- (* n1_i (pow u 2)) n1_i)) n0_i)) (* u (+ 2 (* u (- u 3)))))))>
#<alt (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))>
#<alt (+ (* n1_i (* u (- (pow u 2) 1))) (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))))>
#<alt (+ (* n1_i (* u (- (pow u 2) 1))) (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))))>
#<alt (+ (* n1_i (* u (- (pow u 2) 1))) (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))))>
#<alt (* n1_i (* u (- (pow u 2) 1)))>
#<alt (* n1_i (+ (* u (- (pow u 2) 1)) (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)))>
#<alt (* n1_i (+ (* u (- (pow u 2) 1)) (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)))>
#<alt (* n1_i (+ (* u (- (pow u 2) 1)) (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)))>
#<alt (* -1 (* n1_i (* u (+ 1 (* -1 (pow u 2))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)) (* u (+ 1 (* -1 (pow u 2)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)) (* u (+ 1 (* -1 (pow u 2)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i)))))) n1_i)) (* u (+ 1 (* -1 (pow u 2)))))))>
#<alt (* 3 n0_i)>
#<alt (+ (* 3 n0_i) (* u (- n1_i n0_i)))>
#<alt (+ (* 3 n0_i) (* u (- n1_i n0_i)))>
#<alt (+ (* 3 n0_i) (* u (- n1_i n0_i)))>
#<alt (* u (- n1_i n0_i))>
#<alt (* u (- (+ n1_i (* 3 (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (* 3 (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (* 3 (/ n0_i u))) n0_i))>
#<alt (* u (- n1_i n0_i))>
#<alt (* -1 (* u (+ (* -3 (/ n0_i u)) (* -1 (- n1_i n0_i)))))>
#<alt (* -1 (* u (+ (* -3 (/ n0_i u)) (* -1 (- n1_i n0_i)))))>
#<alt (* -1 (* u (+ (* -3 (/ n0_i u)) (* -1 (- n1_i n0_i)))))>
#<alt (+ (* -1 (* n0_i u)) (* 3 n0_i))>
#<alt (+ (* -1 (* n0_i u)) (+ (* 3 n0_i) (* n1_i u)))>
#<alt (+ (* -1 (* n0_i u)) (+ (* 3 n0_i) (* n1_i u)))>
#<alt (+ (* -1 (* n0_i u)) (+ (* 3 n0_i) (* n1_i u)))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (* 3 (/ n0_i n1_i)))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (* 3 (/ n0_i n1_i)))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (* 3 (/ n0_i n1_i)))))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ (* -1 (* n0_i u)) (* 3 n0_i)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ (* -1 (* n0_i u)) (* 3 n0_i)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ (* -1 (* n0_i u)) (* 3 n0_i)) n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (+ 3 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 3 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 3 (* -1 u))) (* n1_i u))>
#<alt (* n0_i (+ 3 (* -1 u)))>
#<alt (* n0_i (+ 3 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ 3 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ 3 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* -1 (* n0_i (- u 3)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 3)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 3)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 3)))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* -1/6 (* (pow normAngle 2) (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (+ (* n1_i (pow u 3)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* -1 (* n0_i (- (+ u (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))) (* u (+ (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i)))))))) n0_i)))>
#<alt (* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u))))>
#<alt (* (pow u 3) (- (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2))))>
#<alt (* (pow u 3) (- (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))) (/ n0_i (pow u 2))))>
#<alt (* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))))>
#<alt (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (/ n0_i n1_i))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -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 (* -1 u)))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 (* -1 u)))) (* -1/6 (* n1_i u)))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ 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))))))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (* n1_i (sin normAngle)))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 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 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 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))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>

Calls

222 calls:

Time	Variable		Point	Expression
20.0ms	n0_i	@	-inf	(+ (* u (- n1_i n0_i)) (* 3 n0_i))
15.0ms	u	@	inf	(+ (* n0_i -3) (+ (* u (+ (* u (- n1_i n0_i)) (* 3 n0_i))) n0_i))
1.0ms	n0_i	@	0	(+ (* n0_i (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u))) n0_i)
1.0ms	n0_i	@	inf	(+ (* n0_i (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u))) n0_i)
1.0ms	n0_i	@	-inf	(+ (* n0_i (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u))) n0_i)

simplify405.0ms (2.8%)

Memory

9.0MiB live, 675.0MiB allocated

Algorithm

1×	egg-herbie

Rules

8 464×	`lower-fma.f64`
8 464×	`lower-fma.f32`
6 214×	`lower-+.f64`
6 214×	`lower-+.f32`
6 188×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1106	18688
1	3857	17534
0	8465	16633

Stop Event

1×	iter limit
1×	node limit

Counts

888 → 875

Calls

Call 1

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

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

rewrite372.0ms (2.6%)

Memory

26.9MiB live, 700.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 276×	`lower-fma.f64`
6 256×	`lower-fma.f32`
5 568×	`lower-*.f64`
5 542×	`lower-*.f32`
2 348×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	721
0	139	677
1	607	658
2	5000	658
0	8291	640

Stop Event

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

Counts

27 → 345

Calls

Call 1

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

Outputs
(+.f32 n0_i (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (.f32 n0_i #s(literal -3 binary32))))
(+.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i) (.f32 n0_i #s(literal -3 binary32)))
(+.f32 (.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32)))) (+.f32 n0_i (*.f32 n0_i #s(literal -3 binary32))))
(+.f32 (.f32 n0_i #s(literal -3 binary32)) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i))
(+.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (.f32 n0_i #s(literal -3 binary32))) n0_i)
(+.f32 (fma.f32 n0_i #s(literal -3 binary32) n0_i) (.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32)))))
(pow.f32 (/.f32 (fma.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i) (-.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i) (.f32 n0_i #s(literal -3 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 9 binary32))) (fma.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i) (.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -27 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 n0_i #s(literal -3 binary32)) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (fma.f32 (.f32 n0_i n0_i) #s(literal 9 binary32) (.f32 (neg.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)))) #s(literal -1 binary32))
(fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal 3 binary32))) n0_i))
(fma.f32 #s(literal -3 binary32) n0_i (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal 3 binary32))) n0_i))
(fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (+.f32 n0_i (.f32 n0_i #s(literal -3 binary32))))
(fma.f32 (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) u (+.f32 n0_i (.f32 n0_i #s(literal -3 binary32))))
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(-.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 u normAngle))) (.f32 (cos.f32 normAngle) (sin.f32 (.f32 u normAngle))))
(-.f32 (.f32 (sin.f32 (/.f32 (.f32 (.f32 u normAngle) (.f32 u normAngle)) (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle)))) (cos.f32 (/.f32 (.f32 normAngle normAngle) (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle))))) (.f32 (cos.f32 (/.f32 (.f32 (.f32 u normAngle) (.f32 u normAngle)) (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle)))) (sin.f32 (/.f32 (.f32 normAngle normAngle) (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle))))))
(/.f32 (+.f32 (pow.f32 (.f32 (cos.f32 normAngle) (sin.f32 (.f32 u (neg.f32 normAngle)))) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 u normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (cos.f32 normAngle) (sin.f32 (.f32 u (neg.f32 normAngle)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 u normAngle))) #s(literal 2 binary32)) (.f32 (.f32 (cos.f32 normAngle) (sin.f32 (.f32 u (neg.f32 normAngle)))) (.f32 (sin.f32 normAngle) (cos.f32 (*.f32 u normAngle)))))))
(/.f32 (-.f32 (pow.f32 (.f32 (cos.f32 normAngle) (sin.f32 (.f32 u (neg.f32 normAngle)))) #s(literal 2 binary32)) (pow.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 u normAngle))) #s(literal 2 binary32))) (sin.f32 (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle))))
(*.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1/6 binary32) #s(approx (- (+ ( (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i))))))
(.f32 #s(approx (- (+ ( (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i))))) #s(literal -1/6 binary32))
(+.f32 (.f32 u (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i))) (*.f32 u (neg.f32 n1_i)))
(+.f32 (.f32 u (.f32 n0_i #s(literal -3 binary32))) (.f32 u (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i))))
(+.f32 (.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) u) (*.f32 (neg.f32 n1_i) u))
(+.f32 (.f32 (.f32 n0_i #s(literal -3 binary32)) u) (.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i)) u))
(fma.f32 u (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (.f32 u (neg.f32 n1_i)))
(fma.f32 u (.f32 n0_i #s(literal -3 binary32)) (.f32 u (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i))))
(fma.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) u (.f32 (neg.f32 n1_i) u))
(fma.f32 (.f32 n0_i #s(literal -3 binary32)) u (.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i)) u))
(/.f32 (.f32 u (fma.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i))) (neg.f32 (.f32 n1_i (.f32 n1_i n1_i))))) (fma.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (.f32 n1_i (+.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal 3 binary32))) n0_i) (fma.f32 n0_i #s(literal -3 binary32) n1_i)))))
(/.f32 (.f32 u (.f32 (+.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i) (fma.f32 n0_i #s(literal -3 binary32) n1_i)) (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i))))) (+.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal 3 binary32))) n0_i) (fma.f32 n0_i #s(literal -3 binary32) n1_i)))
(/.f32 (.f32 (fma.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i))) (neg.f32 (.f32 n1_i (.f32 n1_i n1_i)))) u) (fma.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) (.f32 n1_i (+.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal 3 binary32))) n0_i) (fma.f32 n0_i #s(literal -3 binary32) n1_i)))))
(/.f32 (.f32 (.f32 (+.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i) (fma.f32 n0_i #s(literal -3 binary32) n1_i)) (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i)))) u) (+.f32 (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal 3 binary32))) n0_i) (fma.f32 n0_i #s(literal -3 binary32) n1_i)))
(.f32 u (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i))))
(.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (-.f32 n0_i n1_i))) u)
(+.f32 (.f32 n0_i #s(literal 3 binary32)) (.f32 u (-.f32 n1_i n0_i)))
(+.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 n0_i #s(literal 3 binary32)))
(pow.f32 (/.f32 (fma.f32 (.f32 n0_i #s(literal 3 binary32)) (-.f32 (.f32 n0_i #s(literal 3 binary32)) (.f32 u (-.f32 n1_i n0_i))) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u)))) (fma.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u))) (.f32 (.f32 n0_i (*.f32 n0_i n0_i)) #s(literal -27 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32))) (.f32 (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32))))) #s(literal -1 binary32))
(fma.f32 n0_i #s(literal 3 binary32) (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal 3 binary32)))
(fma.f32 (-.f32 n1_i n0_i) u (*.f32 n0_i #s(literal 3 binary32)))
(fma.f32 #s(literal 3 binary32) n0_i (*.f32 u (-.f32 n1_i n0_i)))
(-.f32 (/.f32 (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u))) (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32)))) (/.f32 (.f32 (.f32 n0_i n0_i) #s(literal 9 binary32)) (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 n0_i #s(literal 3 binary32)) (-.f32 (.f32 n0_i #s(literal 3 binary32)) (.f32 u (-.f32 n1_i n0_i))) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u)))) (fma.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u))) (.f32 (.f32 n0_i (*.f32 n0_i n0_i)) #s(literal -27 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32))) (.f32 (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32))))))
(/.f32 (fma.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u))) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -27 binary32))) (fma.f32 (.f32 n0_i #s(literal 3 binary32)) (-.f32 (.f32 n0_i #s(literal 3 binary32)) (.f32 u (-.f32 n1_i n0_i))) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (*.f32 u u)))))
(/.f32 (fma.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u))) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -27 binary32))) (fma.f32 (.f32 n0_i n0_i) #s(literal 9 binary32) (-.f32 (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u))) (.f32 (-.f32 n1_i n0_i) (.f32 n0_i (.f32 #s(literal 3 binary32) u))))))
(/.f32 (.f32 (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32)))) (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32))))
(/.f32 (neg.f32 (fma.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u))) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -27 binary32)))) (neg.f32 (fma.f32 (.f32 n0_i #s(literal 3 binary32)) (-.f32 (.f32 n0_i #s(literal 3 binary32)) (.f32 u (-.f32 n1_i n0_i))) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (*.f32 u u))))))
(/.f32 (neg.f32 (.f32 (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32))))) (neg.f32 (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32)))))
(/.f32 (-.f32 (.f32 (.f32 n0_i n0_i) #s(literal 9 binary32)) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u)))) (-.f32 (.f32 n0_i #s(literal 3 binary32)) (*.f32 u (-.f32 n1_i n0_i))))
(.f32 (fma.f32 (.f32 u (-.f32 n1_i n0_i)) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u))) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -27 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 n0_i #s(literal 3 binary32)) (-.f32 (.f32 n0_i #s(literal 3 binary32)) (.f32 u (-.f32 n1_i n0_i))) (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) (.f32 u u))))))
(.f32 (.f32 (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal -3 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 u (-.f32 n1_i n0_i) (*.f32 n0_i #s(literal -3 binary32)))))
#s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (neg.f32 u)) n0_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (.f32 (*.f32 #s(literal -1/6 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (neg.f32 u)) n0_i)))
#s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 u n1_i))
(pow.f32 #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))))
(/.f32 #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) #s(literal 1 binary32))
(/.f32 (neg.f32 #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) #s(literal -1 binary32))
#s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))
(.f32 #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) #s(literal 1 binary32))
(.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle))
(.f32 (.f32 normAngle #s(literal -1/6 binary32)) normAngle)

eval224.0ms (1.6%)

Memory: -25.7MiB live, 245.4MiB allocated
Compiler: Compiled 39 406 to 2 502 computations (93.7% saved)

prune311.0ms (2.2%)

Memory

3.7MiB live, 249.6MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1 239	17	1 256
Fresh	12	16	28
Picked	3	2	5
Done	0	2	2
Total	1 254	37	1 291

Accuracy

100.0%

Counts

1 291 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)))
	98.8%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 normAngle (.f32 (.f32 normAngle u) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u))))
	98.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) normAngle)))) n0_i) (.f32 #s(approx ( (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
	98.0%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32))) normAngle)))) n0_i) #s(approx (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)))
	98.0%	(+.f32 (.f32 (.f32 #s(approx (sin (* (- 1 u) normAngle)) (.f32 normAngle (-.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (/.f32 #s(literal 1 binary32) #s(approx (sin normAngle) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))) n0_i) #s(approx ( (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i) (*.f32 n1_i u)))
	83.2%	(+.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))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))) (.f32 u #s(literal 1/120 binary32)))) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))) u)) n1_i))
	82.9%	(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(approx (+ (* (* u u) -1/6) 1/6) #s(literal 1/6 binary32))) u)) n1_i))
	82.1%	(+.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 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i))
	98.6%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	99.1%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (*.f32 u (-.f32 (-.f32 (neg.f32 n0_i) n0_i) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
	99.3%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 #s(approx (+ ( n0_i -3) (+ (* u (+ (* u (- n1_i n0_i)) (* 3 n0_i))) n0_i)) (*.f32 n0_i (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
	98.8%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) #s(approx (* u (- (+ (* n0_i -3) (+ (* u (+ (* u (- n1_i n0_i)) (* 3 n0_i))) n0_i)) n1_i)) (.f32 n0_i (.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
	32.2%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle)))
	60.2%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (- 1 u) (- 1 u)) -1) (.f32 u #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
	60.3%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
	60.1%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (.f32 u (fma.f32 u #s(literal 3 binary32) #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
	60.1%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (neg.f32 (.f32 u (.f32 u u)))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
	99.1%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))) u) (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))
	60.1%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32)))) n0_i)))
	60.1%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (neg.f32 u)) n0_i)))
	38.8%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u))))
	36.9%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 (neg.f32 (.f32 u (.f32 u u))) (fma.f32 #s(literal -1/6 binary32) (.f32 (-.f32 n0_i n1_i) (.f32 normAngle normAngle)) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (/.f32 (fma.f32 (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i)) (neg.f32 (-.f32 n1_i n0_i))) (neg.f32 u))) (neg.f32 u))))))
	38.8%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))) u))))
	97.9%	#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)))))
	99.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 n0_i #s(literal 1/18 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
	98.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (-.f32 n0_i (*.f32 n0_i u))))
✓	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
	82.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (*.f32 u n1_i)))
	59.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
✓	48.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
	38.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i) (.f32 n1_i (.f32 (/.f32 normAngle (sin.f32 normAngle)) u))))
	84.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 (/.f32 u n0_i) (.f32 n0_i n1_i) (-.f32 n0_i (.f32 n0_i u)))))
	36.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (-.f32 n1_i 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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
	36.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (.f32 n0_i #s(approx (+ ( n1_i (/ u n0_i)) (- 1 u)) (fma.f32 u (/.f32 n1_i n0_i) (neg.f32 u))))))
✓	38.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))

Compiler

Compiled 2 320 to 798 computations (65.6% saved)

regimes138.0ms (1%)

Memory

9.5MiB live, 127.5MiB allocated

Counts

79 → 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (-.f32 n1_i n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 u (neg.f32 n0_i) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (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 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.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)) (fma.f32 u n1_i (-.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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 u (+.f32 n1_i (-.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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.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 (+ (* u n1_i) (* n0_i (- 1 u))) (.f32 n0_i #s(approx (+ ( n1_i (/ u n0_i)) (- 1 u)) (fma.f32 u (/.f32 n1_i 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n0_i (fma.f32 n1_i (/.f32 u 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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)))))
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(approx (+ (* (* u u) -1/6) 1/6) #s(literal 1/6 binary32))) u)) n1_i))
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#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (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 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))) n1_i))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(approx (* (sin (* u normAngle)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)))
(+.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 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (-.f32 normAngle (.f32 normAngle u))) (.f32 n1_i #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (fma.f32 normAngle (.f32 (.f32 normAngle u) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u))))
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))) (.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 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.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 n0_i (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (*.f32 (/.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 (.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 u normAngle)))) n1_i))

Outputs

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

Calls

5 calls:

34.0ms	(+.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))
30.0ms	n0_i
29.0ms	normAngle
20.0ms	u
20.0ms	n1_i

Results

Accuracy	Segments	Branch
99.4%	1	`normAngle`
99.4%	1	`u`
99.4%	1	`n0_i`
99.4%	1	`n1_i`
99.4%	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 49 to 33 computations (32.7% saved)

regimes100.0ms (0.7%)

Memory

17.5MiB live, 93.5MiB allocated

Counts

44 → 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (-.f32 n1_i n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 u (neg.f32 n0_i) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (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 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.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)) (fma.f32 u n1_i (-.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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 u (+.f32 n1_i (-.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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.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 (+ (* u n1_i) (* n0_i (- 1 u))) (.f32 n0_i #s(approx (+ ( n1_i (/ u n0_i)) (- 1 u)) (fma.f32 u (/.f32 n1_i 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n0_i (fma.f32 n1_i (/.f32 u 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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)))))
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(approx (+ (* (* u u) -1/6) 1/6) #s(literal 1/6 binary32))) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 (/.f32 u n0_i) (.f32 n0_i n1_i) (-.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)) (fma.f32 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (.f32 u (fma.f32 u #s(literal 3 binary32) #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i) (fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 normAngle (*.f32 normAngle u)) n0_i))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (neg.f32 (.f32 u (.f32 u u)))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (- 1 u) (- 1 u)) -1) (.f32 u #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (*.f32 u (-.f32 (-.f32 (neg.f32 n0_i) n0_i) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 (.f32 u (*.f32 u u)) (-.f32 n1_i n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_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 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) #s(approx (* u (- (+ (* n0_i -3) (+ (* u (+ (* u (- n1_i n0_i)) (* 3 n0_i))) n0_i)) n1_i)) (.f32 n0_i (.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 #s(approx (+ ( n0_i -3) (+ (* u (+ (* u (- n1_i n0_i)) (* 3 n0_i))) n0_i)) (*.f32 n0_i (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))) 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)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))

Outputs

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

Calls

5 calls:

33.0ms	u
28.0ms	n1_i
12.0ms	(+.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))
12.0ms	n0_i
12.0ms	normAngle

Results

Accuracy	Segments	Branch
99.3%	1	`normAngle`
99.3%	1	`u`
99.3%	1	`n0_i`
99.3%	1	`n1_i`
99.3%	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 49 to 33 computations (32.7% saved)

regimes80.0ms (0.6%)

Memory

5.5MiB live, 85.2MiB 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (-.f32 n1_i n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 u (neg.f32 n0_i) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (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 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.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)) (fma.f32 u n1_i (-.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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 u (+.f32 n1_i (-.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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.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 (+ (* u n1_i) (* n0_i (- 1 u))) (.f32 n0_i #s(approx (+ ( n1_i (/ u n0_i)) (- 1 u)) (fma.f32 u (/.f32 n1_i 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n0_i (fma.f32 n1_i (/.f32 u 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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)))))
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(approx (+ (* (* u u) -1/6) 1/6) #s(literal 1/6 binary32))) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 (/.f32 u n0_i) (.f32 n0_i n1_i) (-.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)) (fma.f32 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (.f32 u (fma.f32 u #s(literal 3 binary32) #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i) (fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 normAngle (*.f32 normAngle u)) n0_i))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (neg.f32 (.f32 u (.f32 u u)))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (- 1 u) (- 1 u)) -1) (.f32 u #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (*.f32 u (-.f32 (-.f32 (neg.f32 n0_i) n0_i) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 (.f32 u (*.f32 u u)) (-.f32 n1_i n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_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 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) #s(approx (* u (- (+ (* n0_i -3) (+ (* u (+ (* u (- n1_i n0_i)) (* 3 n0_i))) n0_i)) n1_i)) (.f32 n0_i (.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32))))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))

Outputs

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

Calls

5 calls:

23.0ms	(+.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))
22.0ms	u
11.0ms	n1_i
11.0ms	normAngle
11.0ms	n0_i

Results

Accuracy	Segments	Branch
99.1%	1	`normAngle`
99.1%	1	`u`
99.1%	1	`n0_i`
99.1%	1	`n1_i`
99.1%	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 49 to 33 computations (32.7% saved)

regimes99.0ms (0.7%)

Memory

-35.1MiB live, 83.6MiB allocated

Counts

36 → 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (-.f32 n1_i n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 u (neg.f32 n0_i) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (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 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.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)) (fma.f32 u n1_i (-.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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 u (+.f32 n1_i (-.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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.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 (+ (* u n1_i) (* n0_i (- 1 u))) (.f32 n0_i #s(approx (+ ( n1_i (/ u n0_i)) (- 1 u)) (fma.f32 u (/.f32 n1_i 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n0_i (fma.f32 n1_i (/.f32 u 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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)))))
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(approx (+ (* (* u u) -1/6) 1/6) #s(literal 1/6 binary32))) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 (/.f32 u n0_i) (.f32 n0_i n1_i) (-.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)) (fma.f32 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (.f32 u (fma.f32 u #s(literal 3 binary32) #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))) n0_i) (fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 normAngle (*.f32 normAngle u)) n0_i))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (neg.f32 (.f32 u (.f32 u u)))) (*.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))) (*.f32 n1_i u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(approx (+ (* (- 1 u) (- 1 u)) -1) (.f32 u #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 #s(approx ( (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))) (.f32 normAngle normAngle)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (*.f32 u (-.f32 (-.f32 (neg.f32 n0_i) n0_i) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u)) n1_i))

Outputs

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

Calls

5 calls:

26.0ms	(+.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))
25.0ms	n0_i
10.0ms	n1_i
10.0ms	u
10.0ms	normAngle

Results

Accuracy	Segments	Branch
99.1%	1	`normAngle`
99.1%	1	`u`
99.1%	1	`n0_i`
99.1%	1	`n1_i`
99.1%	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 49 to 33 computations (32.7% saved)

regimes50.0ms (0.3%)

Memory

31.8MiB live, 70.6MiB allocated

Counts

23 → 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (-.f32 n1_i n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 u (neg.f32 n0_i) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (neg.f32 u)) n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (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 n0_i #s(approx (- 1 u) #s(literal 1 binary32)) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.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)) (fma.f32 u n1_i (-.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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 u (+.f32 n1_i (-.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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.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 (+ (* u n1_i) (* n0_i (- 1 u))) (.f32 n0_i #s(approx (+ ( n1_i (/ u n0_i)) (- 1 u)) (fma.f32 u (/.f32 n1_i 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n0_i (fma.f32 n1_i (/.f32 u 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 (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (-.f32 #s(literal 1 binary32) u)))))
(+.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))) (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(approx (+ (* (* u u) -1/6) 1/6) #s(literal 1/6 binary32))) u)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 (/.f32 u n0_i) (.f32 n0_i n1_i) (-.f32 n0_i (.f32 n0_i u)))))

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

Calls

5 calls:

21.0ms	n0_i
7.0ms	(+.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))
7.0ms	u
7.0ms	n1_i
7.0ms	normAngle

Results

Accuracy	Segments	Branch
98.6%	1	`normAngle`
98.6%	1	`u`
98.6%	1	`n0_i`
98.6%	1	`n1_i`
98.6%	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))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes24.0ms (0.2%)

Memory

-10.7MiB live, 27.5MiB allocated

Counts

8 → 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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (*.f32 u (-.f32 n1_i n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* u n1_i) (* n0_i (- 1 u))) (fma.f32 u (neg.f32 n0_i) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) #s(approx (+ (* (* normAngle normAngle) (* -1/6 (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i)) (fma.f32 n0_i #s(approx (+ (* -1/6 (* (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)) (* normAngle normAngle))) (neg u)) (neg.f32 u)) n0_i)))

Outputs

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

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))

Calls

5 calls:

11.0ms	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	u
3.0ms	normAngle

Results

Accuracy	Segments	Branch
60.1%	1	`normAngle`
60.1%	1	`u`
75.4%	3	`n0_i`
75.4%	3	`n1_i`
60.1%	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 49 to 33 computations (32.7% saved)

regimes10.0ms (0.1%)

Memory

13.2MiB live, 13.2MiB allocated

Counts

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

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

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

Outputs

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

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

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

Calls

5 calls:

2.0ms	(+.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	u
2.0ms	normAngle
2.0ms	n1_i
2.0ms	n0_i

Results

Accuracy	Segments	Branch
56.2%	2	`u`
48.4%	1	`normAngle`
48.4%	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))`
65.2%	3	`n1_i`
65.9%	3	`n0_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes17.0ms (0.1%)

Memory

-26.5MiB live, 12.3MiB 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 (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))

Calls

5 calls:

12.0ms	(+.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))
1.0ms	n1_i
1.0ms	n0_i
1.0ms	normAngle
1.0ms	u

Results

Accuracy	Segments	Branch
38.4%	1	`normAngle`
38.4%	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))`
38.4%	1	`u`
38.4%	1	`n1_i`
38.4%	1	`n0_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

bsearch1.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.601758938469482e-22	1.3846609654773797e-21
0.0ms	-1.6809884234791109e-21	-1.4719814305803591e-21

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.3MiB live, 0.3MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.601758938469482e-22	1.3846609654773797e-21
0.0ms	-1.6809884234791109e-21	-1.4719814305803591e-21

Compiler

Compiled 32 to 24 computations (25% saved)

simplify12.0ms (0.1%)

Memory

11.9MiB live, 11.9MiB allocated

Algorithm

1×	egg-herbie

Rules

32×	`*-commutative_binary32`
14×	`sub-neg_binary32`
14×	`+-commutative_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	123	638
1	147	638
2	157	638
3	162	638
4	164	638

Stop Event

1×

saturated

Calls

Call 1

Inputs
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 #s(literal 3 binary32) n0_i)) n0_i)) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 #s(approx (+ ( n0_i -3) (+ (* u (+ (* u (- n1_i n0_i)) (* 3 n0_i))) n0_i)) (*.f32 n0_i (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (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 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i))) (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32)))) (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (.f32 n1_i u))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 n1_i u)))

Outputs
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 #s(literal 3 binary32) n0_i)) n0_i)) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 (fma.f32 n0_i #s(literal -3 binary32) (fma.f32 u (fma.f32 u (-.f32 n1_i n0_i) (.f32 n0_i #s(literal 3 binary32))) n0_i)) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 u (-.f32 #s(approx (+ ( n0_i -3) (+ (* u (+ (* u (- n1_i n0_i)) (* 3 n0_i))) n0_i)) (*.f32 n0_i (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -2 binary32)))) n1_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) #s(approx (- (+ (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (* n1_i (* u (* u u)))) (+ (* (- n1_i n0_i) u) n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (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 u #s(approx (+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle)))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i))
#s(approx (+ (* (/ n0_i (sin normAngle)) (sin (+ (* normAngle (neg u)) normAngle))) (* (sin (* u normAngle)) (/ n1_i (sin normAngle)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i))) (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i))) (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (.f32 u n1_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (fma.f32 n0_i (neg.f32 u) n0_i)))))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32)))) (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (.f32 n1_i u))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32)))) (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_i)) (.f32 u n1_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 n0_i #s(approx (/ (sin (+ ( u (neg normAngle)) normAngle)) (sin normAngle)) #s(literal 1 binary32))))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* n0_i (- 1 u)) (* u n1_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 (+ (* n0_i (- 1 u)) (* u n1_i)) (*.f32 u n1_i)))

soundness1.2s (8.2%)

Memory

-19.6MiB live, 1 051.9MiB allocated

Rules

12 602×	`lower-fma.f64`
12 602×	`lower-fma.f32`
12 196×	`lower-fma.f64`
12 196×	`lower-fma.f32`
12 022×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	820	13559
1	2853	12753
0	8479	12127
0	17	63
0	29	53
1	83	53
2	469	52
3	4845	52
0	8489	51
0	321	2830
1	987	2714
2	3385	2654
0	8124	2540
0	1106	18688
1	3857	17534
0	8465	16633
0	884	14886
1	3025	13715
0	8773	13042

Stop Event

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

Compiler

Compiled 377 to 214 computations (43.2% saved)

preprocess50.0ms (0.3%)

Memory: -6.4MiB live, 149.1MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 544 to 246 computations (54.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze332.0ms (2.3%)

sample3.7s (25.7%)

preprocess137.0ms (1%)

explain220.0ms (1.5%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify77.0ms (0.5%)

localize64.0ms (0.4%)

series39.0ms (0.3%)

simplify419.0ms (2.9%)

rewrite353.0ms (2.5%)

eval37.0ms (0.3%)

prune57.0ms (0.4%)

simplify324.0ms (2.3%)

localize396.0ms (2.8%)

series103.0ms (0.7%)

simplify634.0ms (4.4%)

rewrite630.0ms (4.4%)

eval405.0ms (2.8%)

prune292.0ms (2%)

simplify439.0ms (3.1%)

localize254.0ms (1.8%)

series44.0ms (0.3%)

simplify465.0ms (3.2%)

rewrite765.0ms (5.3%)

eval227.0ms (1.6%)

prune167.0ms (1.2%)

simplify377.0ms (2.6%)

localize251.0ms (1.7%)

series77.0ms (0.5%)

simplify405.0ms (2.8%)

rewrite372.0ms (2.6%)

eval224.0ms (1.6%)

prune311.0ms (2.2%)

regimes138.0ms (1%)

regimes100.0ms (0.7%)

regimes80.0ms (0.6%)

regimes99.0ms (0.7%)

regimes50.0ms (0.3%)

regimes24.0ms (0.2%)

regimes10.0ms (0.1%)

regimes17.0ms (0.1%)

bsearch1.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.2s (8.2%)

preprocess50.0ms (0.3%)

end0.0ms (0%)

Profiling