Metrics for Curve intersection, scale width based on ribbon orientation

analyze440.0ms (3%)

Memory

-34.6MiB live, 629.8MiB 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)

sample4.1s (27.9%)

Memory

-17.6MiB live, 4 817.0MiB allocated

Samples

2.4s	8 256×	0	valid
726.0ms	2 129×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.6s

ival-<=: 578.0ms (22.5% of total)

ival-mult: 575.0ms (22.4% of total)

ival-sin: 538.0ms (20.9% of total)

const: 359.0ms (14% of total)

ival-div: 152.0ms (5.9% of total)

ival-pi: 134.0ms (5.2% of total)

ival-sub: 86.0ms (3.3% of total)

ival-and: 57.0ms (2.2% of total)

ival-add: 47.0ms (1.8% of total)

exact: 39.0ms (1.5% of total)

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

Bogosity

preprocess130.0ms (0.9%)

Memory

7.1MiB live, 167.2MiB 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)

explain259.0ms (1.8%)

Memory

10.6MiB live, 403.5MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
22	-	21	(1.319926631955755e-37 5.3002871425178455e-8 -2.1664032219507742e-39 9.849097785897901e-22)	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
1	-	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	-	`(.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	-	`#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 (.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))`	cancellation	1	0
`*.f32`	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`	*nu**	1	0

Confusion

	Predicted +	Predicted -
+	1	4
-	1	250

Precision

0.5

Recall

0.2

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	4
-	1	0	250

Precision?

0.5

Recall?

0.2

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

119.0ms	498×	0	valid
10.0ms	14×	5	exit

Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 104.0ms

ival-mult: 77.0ms (74.1% of total)

ival-sin: 15.0ms (14.4% of total)

ival-div: 4.0ms (3.8% of total)

ival-sub: 3.0ms (2.9% of total)

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

adjust: 1.0ms (1% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.1%	(+.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))

Status

Accuracy

Program

▶

98.1%

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

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify77.0ms (0.5%)

Memory

-29.1MiB live, 52.0MiB 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

localize56.0ms (0.4%)

Memory

40.8MiB live, 78.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	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	98.9%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	95.4%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

31.0ms	249×	0	valid
4.0ms	7×	5	exit

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-mult: 12.0ms (49.7% of total)

ival-sin: 6.0ms (24.8% of total)

ival-div: 2.0ms (8.3% of total)

adjust: 1.0ms (4.1% of total)

ival-sub: 1.0ms (4.1% of total)

ival-add: 1.0ms (4.1% of total)

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

exact: 0.0ms (0% of total)

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

series36.0ms (0.2%)

Memory

-19.3MiB live, 56.2MiB 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
5.0ms	u	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
3.0ms	u	@	inf	(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
3.0ms	normAngle	@	-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))

rewrite370.0ms (2.5%)

Memory

22.1MiB live, 498.0MiB 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)))))
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(.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))) (-.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 4 binary32)) (pow.f32 (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.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))) #s(literal 2 binary32)))) (-.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 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.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 (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 (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 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 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.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))))))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(neg.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (sin.f32 normAngle))
(/.f32 (/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32)) (sin.f32 normAngle))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))))
(*.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (/.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 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))) #s(literal -1 binary32))
(.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.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 (sin.f32 (*.f32 normAngle (neg.f32 u))) (sin.f32 normAngle)))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.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)))

simplify405.0ms (2.8%)

Memory

0.3MiB live, 630.4MiB 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)))
(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)))
(* 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)

eval40.0ms (0.3%)

Memory: -15.1MiB live, 100.8MiB allocated
Compiler: Compiled 14 967 to 1 041 computations (93% saved)

prune92.0ms (0.6%)

Memory

14.2MiB live, 96.2MiB allocated

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	380	12	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	12	393

Accuracy

100.0%

Counts

393 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.4%	(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))))
	99.5%	(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)))
	99.2%	(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)))
▶	99.6%	(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)
	99.5%	(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)
▶	98.3%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	98.4%	(+.f32 (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))
▶	98.8%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (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))
▶	82.5%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	73.3%	(.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)))
▶	36.7%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	58.3%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))

Compiler

Compiled 698 to 372 computations (46.7% saved)

simplify559.0ms (3.8%)

Memory

-3.6MiB live, 472.7MiB 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) (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 (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	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	cost-diff	64	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	160	(*.f32 #s(literal 1 binary32) n0_i)
✓	cost-diff	0	(/.f32 n1_i (sin.f32 normAngle))
✓	cost-diff	0	(*.f32 u normAngle)
✓	cost-diff	0	(sin.f32 (*.f32 u normAngle))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓	cost-diff	0	(*.f32 u n1_i)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	160	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓	cost-diff	0	(.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle))
✓	cost-diff	0	(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)
✓	cost-diff	160	(fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
✓	cost-diff	3552	(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))))

Rules

12 272×	`lower-fma.f64`
12 260×	`lower-fma.f32`
4 298×	`lower-*.f64`
4 266×	`lower-*.f32`
2 242×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	333
0	80	327
1	161	317
2	422	314
3	1185	311
4	2154	309
5	3776	308
6	6119	306
0	8350	301

Stop Event

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

Calls

Call 1

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

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

localize265.0ms (1.8%)

Memory

1.5MiB live, 274.4MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
✓	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	99.1%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	98.9%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓	accuracy	99.8%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	accuracy	95.4%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(sin.f32 (*.f32 u normAngle))
✓	accuracy	100.0%	(sin.f32 normAngle)
✓	accuracy	99.9%	(/.f32 n1_i (sin.f32 normAngle))
✓	accuracy	96.7%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (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	99.9%	(*.f32 normAngle (cos.f32 normAngle))
✓	accuracy	99.9%	(/.f32 n1_i (sin.f32 normAngle))
✓	accuracy	99.8%	(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)
✓	accuracy	99.6%	(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))

Samples

93.0ms	245×	0	valid
10.0ms	7×	5	exit
2.0ms	4×	1	valid

Compiler

Compiled 350 to 49 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 83.0ms

ival-mult: 47.0ms (56.6% of total)

ival-add: 9.0ms (10.8% of total)

const: 7.0ms (8.4% of total)

ival-sin: 7.0ms (8.4% of total)

ival-div: 5.0ms (6% of total)

adjust: 3.0ms (3.6% of total)

ival-cos: 2.0ms (2.4% of total)

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

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

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

exact: 0.0ms (0% of total)

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

series85.0ms (0.6%)

Memory

26.8MiB live, 105.9MiB allocated

Counts

25 → 648

Calls

Call 1

Inputs
#<alt (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))))>
#<alt (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))>
#<alt (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)>
#<alt (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle))>
#<alt (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 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (sin.f32 (*.f32 u normAngle))>
#<alt (*.f32 u normAngle)>
#<alt (/.f32 n1_i (sin.f32 normAngle))>
#<alt (*.f32 #s(literal 1 binary32) n0_i)>
#<alt (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (.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 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (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 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (*.f32 normAngle (cos.f32 normAngle))>
#<alt (sin.f32 normAngle)>
#<alt (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))>
#<alt (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))>
#<alt (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))>

Outputs
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (* -1 (* n0_i (+ (* -1 (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* -1 (/ (* n1_i normAngle) (* n0_i (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))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 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 (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))) normAngle)) (* -1/2 (* n0_i u))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))) normAngle)) (* -1/2 (* n0_i u))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))) normAngle)) (* -1/2 (* n0_i u))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))>
#<alt (+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))>
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))>
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))>
#<alt (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))>
#<alt (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))>
#<alt (* -1/2 (* (pow normAngle 2) u))>
#<alt (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* u (sin normAngle)))) (* -1/2 (pow normAngle 2))))>
#<alt (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* u (sin normAngle)))) (* -1/2 (pow normAngle 2))))>
#<alt (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* u (sin normAngle)))) (* -1/2 (pow normAngle 2))))>
#<alt (* -1/2 (* (pow normAngle 2) u))>
#<alt (* -1 (* u (+ (* 1/2 (pow normAngle 2)) (/ (* normAngle (cos normAngle)) (* u (sin normAngle))))))>
#<alt (* -1 (* u (+ (* 1/2 (pow normAngle 2)) (/ (* normAngle (cos normAngle)) (* u (sin normAngle))))))>
#<alt (* -1 (* u (+ (* 1/2 (pow normAngle 2)) (/ (* normAngle (cos normAngle)) (* u (sin normAngle))))))>
#<alt -1>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)>
#<alt (* -1/2 (* (pow normAngle 2) u))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))>
#<alt (* -1/2 (* (pow normAngle 2) u))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))>
#<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))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle)))))))>
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle)))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))))>
#<alt (* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (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 (- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* 2/945 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (/ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) normAngle)))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) normAngle))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) normAngle))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)) (* -1/2 (* n0_i (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2)))))>
#<alt (+ n0_i (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))))>
#<alt (+ n0_i (+ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) 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 (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) n1_i)))))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<alt (* -1/2 (pow normAngle 2))>
#<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 1>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 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 (* n1_i 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 (* normAngle u)>
#<alt (* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))>
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))>
#<alt (* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (* normAngle u)>
#<alt (* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))>
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))>
#<alt (* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (sin (* normAngle u))>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<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))>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<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 (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* 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 (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* 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 (+ n0_i (+ (* 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 (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle 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 (+ 1 (* 1/6 (pow normAngle 2)))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))>
#<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))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (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)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (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 (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* 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)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -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 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 normAngle>
#<alt (* normAngle (+ 1 (* -1/2 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos normAngle))>
#<alt (* normAngle (cos 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 normAngle)>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)>
#<alt (/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)>
#<alt (/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (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 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))>

Calls

162 calls:

Time	Variable		Point	Expression
22.0ms	n0_i	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))
17.0ms	normAngle	@	inf	(+ (* u (+ (* n0_i (+ (* u (* -1/2 (* normAngle normAngle))) (/ (* normAngle (cos normAngle)) (neg (sin normAngle))))) (* normAngle (/ n1_i (sin normAngle))))) n0_i)
2.0ms	n0_i	@	0	(+ (* n0_i (+ (* u (* -1/2 (* normAngle normAngle))) (/ (* normAngle (cos normAngle)) (neg (sin normAngle))))) (* normAngle (/ n1_i (sin normAngle))))
2.0ms	normAngle	@	inf	(+ (* n0_i (+ (* u (* -1/2 (* normAngle normAngle))) (/ (* normAngle (cos normAngle)) (neg (sin normAngle))))) (* normAngle (/ n1_i (sin normAngle))))
1.0ms	u	@	-inf	(+ (* u (+ (* n0_i (+ (* u (* -1/2 (* normAngle normAngle))) (/ (* normAngle (cos normAngle)) (neg (sin normAngle))))) (* normAngle (/ n1_i (sin normAngle))))) n0_i)

rewrite586.0ms (4%)

Memory

11.3MiB live, 561.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 012×	`lower-fma.f64`
7 000×	`lower-fma.f32`
5 382×	`lower-*.f64`
5 350×	`lower-*.f32`
4 048×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	230
0	80	214
1	295	214
2	2236	214
0	9060	212

Stop Event

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

Counts

25 → 687

Calls

Call 1

Inputs
(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))))
(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 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)
(.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(-.f32 #s(literal 1 binary32) u)
(*.f32 u n1_i)
(.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))
(*.f32 #s(literal 1 binary32) n0_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (.f32 (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 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (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))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
(sin.f32 normAngle)
(/.f32 #s(literal 1 binary32) (sin.f32 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))

Outputs
(+.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))))
(+.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (.f32 u n0_i)) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
(+.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (.f32 u n0_i))) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(pow.f32 (/.f32 (fma.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))) (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32))) (+.f32 (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 (-.f32 (.f32 n0_i (.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (.f32 normAngle n1_i)) (sin.f32 normAngle))) (-.f32 (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.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 (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 n0_i (.f32 #s(literal 1 binary32) (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 n0_i (.f32 #s(literal 1 binary32) (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle)))) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 u (.f32 (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) n0_i) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (.f32 u n0_i) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) n0_i (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 n1_i (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.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 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.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)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))))
(fma.f32 #s(literal 1 binary32) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 #s(literal 1 binary32) (.f32 (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (.f32 u n0_i)) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 normAngle (/.f32 #s(literal 1 binary32) n1_i)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))))
(fma.f32 (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) n0_i (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 1 binary32) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (.f32 u n0_i)) #s(literal 1 binary32) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (.f32 u #s(literal -1/2 binary32)) (.f32 (.f32 normAngle normAngle) n0_i) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle 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 (neg.f32 (sin.f32 normAngle))) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle 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)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.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)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.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)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))))
(fma.f32 (/.f32 n1_i (neg.f32 (sin.f32 normAngle))) (/.f32 normAngle #s(literal -1 binary32)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))))
(fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) #s(literal 1 binary32)) n0_i (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (.f32 (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 1 binary32)) n0_i (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (.f32 n0_i u) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle))) u (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (.f32 n0_i (.f32 u #s(literal -1/2 binary32))) (.f32 normAngle normAngle) (+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle 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 (neg.f32 (sin.f32 normAngle))) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle 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)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle 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)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))))
(-.f32 (/.f32 (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 (-.f32 (.f32 n0_i (.f32 (cos.f32 normAngle) (neg.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))))) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 (-.f32 (.f32 n0_i (.f32 (cos.f32 normAngle) (neg.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) (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))))) (/.f32 (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32)) (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))) (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32))) (+.f32 (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 (-.f32 (.f32 n0_i (.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (.f32 normAngle n1_i)) (sin.f32 normAngle))) (-.f32 (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.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 (.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))) (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32))) (+.f32 (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 (-.f32 (.f32 n0_i (.f32 (cos.f32 normAngle) (neg.f32 normAngle))) (.f32 normAngle n1_i)) (sin.f32 normAngle))) (-.f32 (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.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 (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))) (pow.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) #s(literal 2 binary32))))
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simplify595.0ms (4.1%)

Memory

-34.4MiB live, 898.9MiB allocated

Algorithm

1×	egg-herbie

Rules

15 210×	`lower-fma.f64`
15 210×	`lower-fma.f32`
8 348×	`lower-*.f64`
8 348×	`lower-*.f32`
4 800×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	794	9497
1	2632	9051
0	8511	8628

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 624

Calls

Call 1

Inputs
(/ (* n1_i normAngle) (sin normAngle))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(* -1 (* n0_i (+ (* -1 (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 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)))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))) normAngle)) (* -1/2 (* n0_i u))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))) normAngle)) (* -1/2 (* n0_i u))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))) normAngle)) (* -1/2 (* n0_i u))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))
(/ (* n1_i normAngle) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))
(+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))
(+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))
(* -1/2 (* (pow normAngle 2) u))
(* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* u (sin normAngle)))) (* -1/2 (pow normAngle 2))))
(* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* u (sin normAngle)))) (* -1/2 (pow normAngle 2))))
(* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* u (sin normAngle)))) (* -1/2 (pow normAngle 2))))
(* -1/2 (* (pow normAngle 2) u))
(* -1 (* u (+ (* 1/2 (pow normAngle 2)) (/ (* normAngle (cos normAngle)) (* u (sin normAngle))))))
(* -1 (* u (+ (* 1/2 (pow normAngle 2)) (/ (* normAngle (cos normAngle)) (* u (sin normAngle))))))
(* -1 (* u (+ (* 1/2 (pow normAngle 2)) (/ (* normAngle (cos normAngle)) (* u (sin normAngle))))))
-1
(- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)
(- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)
(- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(* -1/2 (* (pow normAngle 2) u))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(* -1/2 (* (pow normAngle 2) u))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 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))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle)))))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle)))))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))))
(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (* n0_i (- (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* 2/945 n0_i) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (/ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) normAngle)))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) normAngle))))
(* (pow normAngle 2) (+ (* -1/2 (* n0_i (pow u 2))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) normAngle))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow normAngle 2) (+ (* -1 (/ (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))) normAngle)) (* -1/2 (* n0_i (pow u 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))) normAngle)) (* -1/2 (* n0_i (pow u 2)))))
(+ n0_i (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))))
(+ n0_i (+ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))) n1_i) (/ (* normAngle u) (sin normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) n1_i)))))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* -1/2 (pow normAngle 2))
(* 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)))))
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)
(/ (* 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 u)
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(sin (* normAngle u))
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(/ 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))
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
(/ (* 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))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
n0_i
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* 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)))))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* 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))))))
(+ n0_i (+ (* 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))))))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
n0_i
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle 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 (+ 1 (* 1/6 (pow normAngle 2)))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(+ (* 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))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (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)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (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)))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -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
(+ 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))
normAngle
(* normAngle (+ 1 (* -1/2 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos normAngle))
(* normAngle (cos 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 normAngle)
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (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))))))
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))

Outputs
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (+ (* -1/2 (* (pow normAngle 2) u)) (/ (* n1_i normAngle) (* n0_i (sin normAngle))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))))
(* -1 (* n0_i (+ (* -1 (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))))
(* -1 (* n0_i (+ (* -1 (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(.f32 normAngle (.f32 normAngle (.f32 n0_i (.f32 #s(literal -1/2 binary32) u))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (/.f32 (.f32 (neg.f32 n0_i) (.f32 normAngle (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) u)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (/.f32 (.f32 (neg.f32 n0_i) (.f32 normAngle (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) u)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (/.f32 (.f32 (neg.f32 n0_i) (.f32 normAngle (cos.f32 normAngle))) (*.f32 (sin.f32 normAngle) u)))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(.f32 normAngle (.f32 normAngle (.f32 n0_i (.f32 #s(literal -1/2 binary32) u))))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(neg.f32 (.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/2 binary32)) (/.f32 (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 u)))))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(neg.f32 (.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/2 binary32)) (/.f32 (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 u)))))
(* -1 (* u (+ (* -1 (/ (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(neg.f32 (.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/2 binary32)) (/.f32 (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) (neg.f32 u)))))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* n0_i (+ 1/3 (* -1/2 u))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #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) (- (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 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) (- (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 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) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(.f32 normAngle (.f32 normAngle (.f32 n0_i (.f32 #s(literal -1/2 binary32) u))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 (cos.f32 normAngle) (.f32 normAngle (sin.f32 normAngle)))) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) u) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 (cos.f32 normAngle) (.f32 normAngle (sin.f32 normAngle)))) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) u) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i (cos normAngle)) (* normAngle (sin normAngle)))) (+ (* -1/2 (* n0_i u)) (/ n1_i (* normAngle (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 (cos.f32 normAngle) (.f32 normAngle (sin.f32 normAngle)))) (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) u) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(.f32 normAngle (.f32 normAngle (.f32 n0_i (.f32 #s(literal -1/2 binary32) u))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))) normAngle)) (* -1/2 (* n0_i u))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) u) (/.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))) normAngle)) (* -1/2 (* n0_i u))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) u) (/.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))) normAngle)) (* -1/2 (* n0_i u))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (*.f32 #s(literal -1/2 binary32) u) (/.f32 (fma.f32 n0_i (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (neg.f32 (/.f32 n1_i (sin.f32 normAngle)))) (neg.f32 normAngle))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u))))
(.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(+ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))
(.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))
(.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))
(.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))))
(neg.f32 (.f32 n1_i (neg.f32 (fma.f32 n0_i (/.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) n1_i) (/.f32 normAngle (sin.f32 normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))))
(neg.f32 (.f32 n1_i (neg.f32 (fma.f32 n0_i (/.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) n1_i) (/.f32 normAngle (sin.f32 normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))) n1_i)))))
(neg.f32 (.f32 n1_i (neg.f32 (fma.f32 n0_i (/.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) n1_i) (/.f32 normAngle (sin.f32 normAngle))))))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))
(fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))
(fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))
(fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(* -1/2 (* (pow normAngle 2) u))
(.f32 normAngle (.f32 normAngle (*.f32 #s(literal -1/2 binary32) u)))
(* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* u (sin normAngle)))) (* -1/2 (pow normAngle 2))))
(.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (.f32 (sin.f32 normAngle) u)))))
(* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* u (sin normAngle)))) (* -1/2 (pow normAngle 2))))
(.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (.f32 (sin.f32 normAngle) u)))))
(* u (+ (* -1 (/ (* normAngle (cos normAngle)) (* u (sin normAngle)))) (* -1/2 (pow normAngle 2))))
(.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (.f32 (sin.f32 normAngle) u)))))
(* -1/2 (* (pow normAngle 2) u))
(.f32 normAngle (.f32 normAngle (*.f32 #s(literal -1/2 binary32) u)))
(* -1 (* u (+ (* 1/2 (pow normAngle 2)) (/ (* normAngle (cos normAngle)) (* u (sin normAngle))))))
(.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (.f32 (sin.f32 normAngle) u)) (.f32 (.f32 normAngle normAngle) #s(literal 1/2 binary32))) (neg.f32 u))
(* -1 (* u (+ (* 1/2 (pow normAngle 2)) (/ (* normAngle (cos normAngle)) (* u (sin normAngle))))))
(.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (.f32 (sin.f32 normAngle) u)) (.f32 (.f32 normAngle normAngle) #s(literal 1/2 binary32))) (neg.f32 u))
(* -1 (* u (+ (* 1/2 (pow normAngle 2)) (/ (* normAngle (cos normAngle)) (* u (sin normAngle))))))
(.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (.f32 (sin.f32 normAngle) u)) (.f32 (.f32 normAngle normAngle) #s(literal 1/2 binary32))) (neg.f32 u))
-1
#s(literal -1 binary32)
(- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)
(fma.f32 normAngle (*.f32 normAngle (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 1/45 binary32)) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(* -1/2 (* (pow normAngle 2) u))
(.f32 normAngle (.f32 normAngle (*.f32 #s(literal -1/2 binary32) u)))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/2 binary32) u) (/.f32 (cos.f32 normAngle) (.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/2 binary32) u) (/.f32 (cos.f32 normAngle) (.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/2 binary32) u) (/.f32 (cos.f32 normAngle) (.f32 normAngle (sin.f32 normAngle)))))
(* -1/2 (* (pow normAngle 2) u))
(.f32 normAngle (.f32 normAngle (*.f32 #s(literal -1/2 binary32) u)))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/2 binary32) u) (/.f32 (cos.f32 normAngle) (.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/2 binary32) u) (/.f32 (cos.f32 normAngle) (.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (cos normAngle) (* normAngle (sin normAngle)))) (* -1/2 u)))
(.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/2 binary32) u) (/.f32 (cos.f32 normAngle) (.f32 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 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 n1_i (/.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))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.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 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))))) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 #s(literal -1/2 binary32) (*.f32 u u)))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(.f32 (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (/.f32 (.f32 (neg.f32 n0_i) (.f32 normAngle (cos.f32 normAngle))) (.f32 (sin.f32 normAngle) u)))) (.f32 u u))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle)))))))
(.f32 (.f32 u u) (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (.f32 (sin.f32 normAngle) u))) (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) u)) (/.f32 n0_i (.f32 u u))))))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i normAngle) (* u (sin normAngle)))))))
(.f32 (.f32 u u) (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (.f32 (sin.f32 normAngle) u))) (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) u)) (/.f32 n0_i (.f32 u u))))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 #s(literal -1/2 binary32) (*.f32 u u)))
(* (pow u 2) (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* u (sin normAngle)))) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i normAngle) (* u (sin normAngle))))))
(.f32 (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) u)) (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (/.f32 (.f32 (neg.f32 n0_i) (.f32 normAngle (cos.f32 normAngle))) (.f32 (sin.f32 normAngle) u)))) (.f32 u u))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u u) (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (neg.f32 (/.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i u)))) u))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u u) (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (neg.f32 (/.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (/.f32 n0_i u)))) u))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) (.f32 n0_i u) (fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i))
(+ (* n0_i (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
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u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(fma.f32 (.f32 normAngle (.f32 normAngle 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 u #s(literal 1/120 binary32)))) (.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 u #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 u (.f32 u u) (neg.f32 u)) (.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) (fma.f32 u (.f32 u u) (neg.f32 u)) (.f32 u #s(literal 1/120 binary32))))) (.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))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
n0_i
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(fma.f32 (.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) n0_i)
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(fma.f32 (.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) n0_i)
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(fma.f32 (.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) n0_i)
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(.f32 (neg.f32 n0_i) (fma.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(.f32 (neg.f32 n0_i) (fma.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(.f32 (neg.f32 n0_i) (fma.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle))) (/.f32 (.f32 u u) (sin.f32 normAngle))) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+ n0_i (* 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)))))
(fma.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 n1_i #s(literal 1/120 binary32)) (/.f32 (.f32 u (.f32 u (pow.f32 normAngle #s(literal 5 binary32)))) (sin.f32 normAngle)) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (sin.f32 normAngle)))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (+ (* 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))) (fma.f32 n1_i u n0_i))
(+ n0_i (+ (* 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 (.f32 normAngle normAngle) (-.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u u) (neg.f32 u)))) (fma.f32 n1_i u n0_i))
(+ n0_i (+ (* 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) (-.f32 (.f32 n1_i (.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)))) (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 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 n1_i (.f32 u #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u u) (neg.f32 u)))) (fma.f32 n1_i u n0_i))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
n0_i
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle)) n0_i)
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(.f32 (neg.f32 n1_i) (-.f32 (/.f32 n0_i (neg.f32 n1_i)) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(.f32 (neg.f32 n1_i) (-.f32 (/.f32 n0_i (neg.f32 n1_i)) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(.f32 (neg.f32 n1_i) (-.f32 (/.f32 n0_i (neg.f32 n1_i)) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle 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 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle))) (/.f32 (.f32 u u) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 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 (.f32 n1_i #s(literal 1/120 binary32)) (/.f32 (.f32 u (.f32 u (pow.f32 normAngle #s(literal 5 binary32)))) (sin.f32 normAngle)) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (sin.f32 normAngle)))) (.f32 n1_i (/.f32 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 n1_i (/.f32 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle #s(literal 7 binary32)) #s(literal -1/5040 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 n1_i #s(literal -1/6 binary32)) (/.f32 (.f32 normAngle (*.f32 normAngle normAngle)) (sin.f32 normAngle)))))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (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 (.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 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (.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))) (* (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) (-.f32 (.f32 n1_i (.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32)))) (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 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 n1_i (.f32 u #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))))) (.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 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (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 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.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))))))))
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(/ (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 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) 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 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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 (.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) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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) (-.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) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (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) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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 (+ 1 (* 1/6 (pow normAngle 2)))))))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 n1_i (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(fma.f32 u (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))
(fma.f32 u (fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 n0_i (cos.f32 normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (sin.f32 normAngle)) (.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)))) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle)))) (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (fma.f32 n1_i (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))) n0_i)
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (.f32 u (.f32 normAngle (.f32 normAngle u)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (.f32 u u))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (.f32 u (.f32 normAngle (.f32 normAngle u)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (.f32 u u)) (/.f32 (.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.f32 u (*.f32 u u))))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (.f32 u u)) (/.f32 (.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.f32 u (*.f32 u u))))))))
(+ (* 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))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) 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))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (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) (+.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) 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))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (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) (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n0_i #s(literal -1/5040 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)))))) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (/.f32 (.f32 n1_i u) (.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (/.f32 (.f32 n1_i u) (.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (/.f32 (.f32 n1_i u) (.f32 normAngle normAngle)))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (/.f32 (.f32 n1_i u) (.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (/.f32 (.f32 n1_i u) (.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (/.f32 (.f32 n1_i u) (.f32 normAngle normAngle)))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(/ (* 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 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) 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 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) 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 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) 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 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) 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 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) 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 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) 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))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* 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))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* 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))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* 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))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -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))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -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))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -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))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 n0_i (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 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 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))) (.f32 n0_i u) 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 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) normAngle) (/.f32 (.f32 (cos.f32 normAngle) u) (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 (*.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 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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))) (+ (* -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) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n0_i #s(literal -1/5040 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)))))) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #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 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) normAngle) (.f32 (cos.f32 normAngle) u) (.f32 (sin.f32 normAngle) (.f32 normAngle (.f32 normAngle #s(literal -1/2 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))
(.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)))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32)))) (-.f32 #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 (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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) (.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)))
(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
(+ 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 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
normAngle
(* normAngle (+ 1 (* -1/2 (pow normAngle 2))))
(fma.f32 normAngle (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))
(fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal 1/24 binary32)) #s(literal -1/2 binary32)) normAngle) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))
(fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/720 binary32) #s(literal 1/24 binary32)) #s(literal -1/2 binary32)) normAngle)
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.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 normAngle (*.f32 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 normAngle) (.f32 (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) 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 normAngle)
(/.f32 #s(literal 1 binary32) normAngle)
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)
(/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)
(/.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)) normAngle)
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(* 1/6 u)
(*.f32 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)))
(* 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 u (.f32 #s(literal -1/6 binary32) (*.f32 u u)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (.f32 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 u) (.f32 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 u) (.f32 u (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32))))
(* -1/6 (pow u 3))
(.f32 u (.f32 #s(literal -1/6 binary32) (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(* -1/6 (pow u 2))
(.f32 #s(literal -1/6 binary32) (.f32 u u))
(* (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 #s(literal -1/6 binary32) (.f32 u u))
(* (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)))

eval327.0ms (2.2%)

Memory: 27.6MiB live, 413.5MiB allocated
Compiler: Compiled 51 899 to 3 533 computations (93.2% saved)

prune219.0ms (1.5%)

Memory

-13.0MiB live, 526.8MiB allocated

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	1 563	19	1 582
Fresh	7	0	7
Picked	4	1	5
Done	0	0	0
Total	1 574	20	1 594

Accuracy

100.0%

Counts

1 594 → 20

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(fma.f32 (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) (.f32 n0_i u) (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i))
▶	83.2%	(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))
▶	99.7%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	99.6%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	99.4%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
	99.4%	(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i))
	98.6%	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
▶	98.4%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	82.6%	(fma.f32 n1_i u n0_i)
✓	98.3%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	58.3%	(fma.f32 n0_i (neg.f32 u) n0_i)
	99.1%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (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))
	83.3%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (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 u #s(literal 1/120 binary32)))) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n1_i))
▶	82.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	36.7%	(.f32 (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) u)) (/.f32 n1_i (sin.f32 normAngle)))
	36.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
	37.3%	(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
	97.6%	(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
	99.0%	(.f32 n1_i (fma.f32 n0_i (/.f32 (.f32 u (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))) n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
▶	37.0%	(*.f32 n1_i u)

Compiler

Compiled 868 to 524 computations (39.6% saved)

simplify412.0ms (2.8%)

Memory

5.1MiB live, 784.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 (*.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	cost-diff	64	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	cost-diff	160	(.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	160	(*.f32 #s(literal 1 binary32) n0_i)
✓	cost-diff	0	(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u u) (neg.f32 u)))
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	64	(fma.f32 u (*.f32 u u) (neg.f32 u))
✓	cost-diff	160	(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	0	(*.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	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
✓	cost-diff	0	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
✓	cost-diff	64	(-.f32 (.f32 n0_i #s(literal 2/945 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))
✓	cost-diff	192	(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))

Rules

16 996×	`lower-fma.f64`
16 972×	`lower-fma.f32`
3 970×	`lower-+.f64`
3 968×	`lower-+.f32`
3 708×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	343
0	91	312
1	203	306
2	666	305
3	2579	305
4	6337	305
0	8203	295

Stop Event

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

Calls

Call 1

Inputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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))))
n0_i
#s(literal 1/45 binary32)
(fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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)))
(-.f32 (.f32 n0_i #s(literal 2/945 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))
(*.f32 n0_i #s(literal 2/945 binary32))
#s(literal 2/945 binary32)
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
n1_i
#s(literal 1/840 binary32)
(*.f32 n1_i #s(literal -7/2160 binary32))
#s(literal -7/2160 binary32)
(*.f32 n1_i #s(literal 7/360 binary32))
#s(literal 7/360 binary32)
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
#s(literal -1/2 binary32)
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
(*.f32 n1_i u)
n1_i
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)
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))
(*.f32 normAngle normAngle)
normAngle
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u u) (neg.f32 u)))
(*.f32 n1_i #s(literal -1/6 binary32))
n1_i
#s(literal -1/6 binary32)
(fma.f32 u (*.f32 u u) (neg.f32 u))
u
(*.f32 u u)
(neg.f32 u)
(fma.f32 n1_i u n0_i)
n0_i
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(*.f32 #s(literal 1 binary32) n0_i)
#s(literal 1 binary32)
n0_i
(.f32 (.f32 (*.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 normAngle u)
normAngle
u
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i

Outputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32))))
n0_i
#s(literal 1/45 binary32)
(fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (*.f32 n1_i #s(literal 7/360 binary32)))
(-.f32 (.f32 n0_i #s(literal 2/945 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))
(fma.f32 n0_i #s(literal 2/945 binary32) (*.f32 n1_i #s(literal 31/15120 binary32)))
(*.f32 n0_i #s(literal 2/945 binary32))
#s(literal 2/945 binary32)
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
(*.f32 n1_i #s(literal -31/15120 binary32))
n1_i
#s(literal 1/840 binary32)
(*.f32 n1_i #s(literal -7/2160 binary32))
#s(literal -7/2160 binary32)
(*.f32 n1_i #s(literal 7/360 binary32))
#s(literal 7/360 binary32)
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
#s(literal -1/2 binary32)
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
(*.f32 n1_i u)
(*.f32 u n1_i)
n1_i
u
(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)
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))
(fma.f32 u (fma.f32 (.f32 n1_i (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) (fma.f32 u u #s(literal -1 binary32)) n1_i) n0_i)
(*.f32 normAngle normAngle)
normAngle
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u u) (neg.f32 u)))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))
(*.f32 n1_i #s(literal -1/6 binary32))
n1_i
#s(literal -1/6 binary32)
(fma.f32 u (*.f32 u u) (neg.f32 u))
(*.f32 u (fma.f32 u u #s(literal -1 binary32)))
u
(*.f32 u u)
(neg.f32 u)
(fma.f32 n1_i u n0_i)
(fma.f32 u n1_i n0_i)
n0_i
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(*.f32 #s(literal 1 binary32) n0_i)
n0_i
#s(literal 1 binary32)
n0_i
(.f32 (.f32 (*.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(.f32 u (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(*.f32 normAngle u)
(*.f32 u normAngle)
normAngle
u
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(sin.f32 normAngle)
n1_i

localize189.0ms (1.3%)

Memory

-5.8MiB live, 444.5MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(.f32 (.f32 (*.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓	accuracy	99.8%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	accuracy	95.3%	(.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))
✓	accuracy	100.0%	(fma.f32 u (*.f32 u u) (neg.f32 u))
✓	accuracy	99.3%	(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u u) (neg.f32 u)))
✓	accuracy	99.0%	(*.f32 n1_i #s(literal -1/6 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	99.5%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	accuracy	100.0%	(*.f32 n1_i u)
✓	accuracy	98.9%	(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
✓	accuracy	98.8%	(*.f32 n1_i #s(literal -7/2160 binary32))
✓	accuracy	98.6%	(*.f32 n1_i #s(literal 7/360 binary32))
✓	accuracy	98.5%	(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))

Samples

112.0ms	253×	0	valid
3.0ms	2×	5	exit
1.0ms	1×	1	valid

Compiler

Compiled 383 to 60 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 94.0ms

ival-mult: 40.0ms (42.4% of total)

const: 24.0ms (25.4% of total)

ival-add: 17.0ms (18% of total)

ival-sub: 3.0ms (3.2% of total)

ival-sin: 3.0ms (3.2% of total)

ival-neg: 3.0ms (3.2% of total)

ival-div: 2.0ms (2.1% of total)

adjust: 1.0ms (1.1% of total)

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

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

exact: 0.0ms (0% of total)

series68.0ms (0.5%)

Memory

3.2MiB live, 159.9MiB allocated

Counts

21 → 504

Calls

Call 1

Inputs
#<alt (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))>
#<alt (-.f32 (.f32 n0_i #s(literal 2/945 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))>
#<alt (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)>
#<alt (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))>
#<alt (*.f32 n1_i u)>
#<alt (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 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))>
#<alt (fma.f32 u (*.f32 u u) (neg.f32 u))>
#<alt (*.f32 normAngle normAngle)>
#<alt (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u u) (neg.f32 u)))>
#<alt (*.f32 #s(literal 1 binary32) n0_i)>
#<alt (.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (.f32 (.f32 (*.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)>
#<alt (*.f32 n1_i #s(literal 7/360 binary32))>
#<alt (*.f32 n1_i #s(literal -7/2160 binary32))>
#<alt (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))>
#<alt (*.f32 n1_i #s(literal -1/6 binary32))>
#<alt (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))>

Outputs
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i)))>
#<alt (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))>
#<alt (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))>
#<alt (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))>
#<alt (* 2/945 n0_i)>
#<alt (* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))>
#<alt (* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))>
#<alt (* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))>
#<alt (* 2/945 n0_i)>
#<alt (* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))>
#<alt (* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))>
#<alt (* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))>
#<alt (* 2/945 n0_i)>
#<alt (+ (* 31/15120 n1_i) (* 2/945 n0_i))>
#<alt (+ (* 31/15120 n1_i) (* 2/945 n0_i))>
#<alt (+ (* 31/15120 n1_i) (* 2/945 n0_i))>
#<alt (* 31/15120 n1_i)>
#<alt (* n1_i (+ 31/15120 (* 2/945 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 31/15120 (* 2/945 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 31/15120 (* 2/945 (/ n0_i n1_i))))>
#<alt (* 31/15120 n1_i)>
#<alt (* -1 (* n1_i (- (* -2/945 (/ n0_i n1_i)) 31/15120)))>
#<alt (* -1 (* n1_i (- (* -2/945 (/ n0_i n1_i)) 31/15120)))>
#<alt (* -1 (* n1_i (- (* -2/945 (/ n0_i n1_i)) 31/15120)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u)))) (/ n0_i u)))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u)))) (/ n0_i u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (+ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (* (pow normAngle 2) (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))>
#<alt (* (pow normAngle 6) (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))>
#<alt (* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))>
#<alt (* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))>
#<alt (* (pow normAngle 6) (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))>
#<alt (* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))>
#<alt (* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))>
#<alt (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))>
#<alt (* -1 (* n0_i (- (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))) 1)))>
#<alt (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))))>
#<alt (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)) n1_i))))>
#<alt (* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (- n1_i n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)>
#<alt (* (pow normAngle 6) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (+ (* -7/2160 n1_i) (+ (* 1/840 n1_i) (/ n0_i (pow normAngle 6))))))>
#<alt (* (pow normAngle 6) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (+ (* -7/2160 n1_i) (+ (* 1/840 n1_i) (/ n0_i (pow normAngle 6))))))>
#<alt (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))>
#<alt (+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))>
#<alt (+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))>
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#<alt (* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))>
#<alt (* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))>
#<alt (* -1 (* n0_i (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))))>
#<alt (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)>
#<alt (- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i)))))) n0_i)>
#<alt (- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i)))))) n0_i)>
#<alt (- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i)))))) n0_i)>
#<alt (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))>
#<alt (* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n1_i))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n1_i))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n1_i))) (/ n0_i n1_i)))>
#<alt (* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)>
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)>
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)>
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* n1_i u)>
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#<alt (* n1_i u)>
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
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#<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)>
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#<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)>
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#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
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#<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))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (* -1 (* n0_i u))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt 1>
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#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (* -1 u)>
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#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))>
#<alt n0_i>
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#<alt (+ n0_i (* 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 (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ n0_i n1_i))))>
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#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ n0_i n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))>
#<alt n0_i>
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#<alt (+ n0_i (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))))>
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#<alt (+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))>
#<alt n0_i>
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#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) 1)))>
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#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) 1)))>
#<alt (* -1 u)>
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#<alt (* u (- (pow u 2) 1))>
#<alt (* u (- (pow u 2) 1))>
#<alt (pow u 3)>
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))>
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))>
#<alt (* (pow u 3) (- 1 (/ 1 (pow u 2))))>
#<alt (pow u 3)>
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))>
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))>
#<alt (* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))>
#<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 (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* -1/6 (* n1_i (- (pow u 3) u)))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))>
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))>
#<alt (* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))>
#<alt (* -1/6 (* n1_i (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))>
#<alt (* -1/6 (* n1_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt u>
#<alt (+ u (* 1/6 (* (pow normAngle 2) u)))>
#<alt (+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))>
#<alt (+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* normAngle u) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* n1_i u)>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))>
#<alt (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt 1/3>
#<alt (+ 1/3 (* -1/2 u))>
#<alt (+ 1/3 (* -1/2 u))>
#<alt (+ 1/3 (* -1/2 u))>
#<alt (* -1/2 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 1/2))>
#<alt (* u (- (* 1/3 (/ 1 u)) 1/2))>
#<alt (* u (- (* 1/3 (/ 1 u)) 1/2))>
#<alt (* -1/2 u)>
#<alt (* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (* -1/6 n1_i)>
#<alt (/ 1 normAngle)>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)>
#<alt (/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)>
#<alt (/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>

Calls

126 calls:

Time	Variable		Point	Expression
12.0ms	n1_i	@	0	(+ (* (* normAngle normAngle) (* (* n1_i -1/6) (+ (* u (* u u)) (neg u)))) (+ (* n1_i u) n0_i))
3.0ms	n0_i	@	0	(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (* n0_i 2/945) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i (+ (* -1/2 u) 1/3)) (* n1_i 1/6)))) (- n1_i n0_i))) n0_i)
3.0ms	n1_i	@	0	(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (* n0_i 2/945) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i (+ (* -1/2 u) 1/3)) (* n1_i 1/6)))) (- n1_i n0_i))) n0_i)
3.0ms	normAngle	@	0	(+ (* (* normAngle normAngle) (* (* n1_i -1/6) (+ (* u (* u u)) (neg u)))) (+ (* n1_i u) n0_i))
2.0ms	n0_i	@	-inf	(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (* n0_i 2/945) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i (+ (* -1/2 u) 1/3)) (* n1_i 1/6)))) (- n1_i n0_i))) n0_i)

rewrite421.0ms (2.9%)

Memory

30.6MiB live, 621.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 698×	`lower-*.f64`
6 670×	`lower-*.f32`
5 966×	`lower-fma.f64`
5 942×	`lower-fma.f32`
2 852×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	210
0	91	182
1	410	182
2	3680	182
0	9417	178

Stop Event

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

Counts

21 → 532

Calls

Call 1

Inputs
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
(-.f32 (.f32 n0_i #s(literal 2/945 binary32)) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 n1_i u)
(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)
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))
(fma.f32 u (*.f32 u u) (neg.f32 u))
(*.f32 normAngle normAngle)
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (*.f32 u u) (neg.f32 u)))
(*.f32 #s(literal 1 binary32) n0_i)
(.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (.f32 (*.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(*.f32 n1_i #s(literal -7/2160 binary32))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
(*.f32 n1_i #s(literal -1/6 binary32))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))

Outputs
(+.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32)))
(+.f32 (.f32 n1_i #s(literal 1/840 binary32)) (.f32 n1_i #s(literal -7/2160 binary32)))
(pow.f32 (/.f32 (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))) (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 n1_i #s(literal 67/15120 binary32)) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32)))) #s(literal -1 binary32))
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
(fma.f32 n1_i #s(literal -7/2160 binary32) (*.f32 n1_i #s(literal 1/840 binary32)))
(fma.f32 #s(literal 1/840 binary32) n1_i (*.f32 n1_i #s(literal -7/2160 binary32)))
(fma.f32 #s(literal -7/2160 binary32) n1_i (*.f32 n1_i #s(literal 1/840 binary32)))
(-.f32 (/.f32 (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))) (/.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/4665600 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))) (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 n1_i #s(literal 67/15120 binary32)) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32)))))
(/.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32))) (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))))
(/.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32))) (fma.f32 (.f32 n1_i n1_i) #s(literal 49/4665600 binary32) (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32)) (.f32 (.f32 (*.f32 n1_i #s(literal 1/840 binary32)) n1_i) #s(literal -7/2160 binary32)))))
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(/.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i))))
(/.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)) (-.f32 (.f32 n0_i n0_i) (.f32 (.f32 n1_i n0_i) (/.f32 (*.f32 u normAngle) (sin.f32 normAngle))))))
(/.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32))) (-.f32 n0_i (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle))))
(/.f32 (neg.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))))
(/.f32 (neg.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)))) (neg.f32 (-.f32 n0_i (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32)) (.f32 n0_i n0_i)) (-.f32 (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i))
(.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i n0_i (.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 n1_i (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)))))
(.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)))))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 (.f32 u normAngle) n1_i) (sin.f32 normAngle))
(.f32 n1_i (/.f32 (.f32 u normAngle) (sin.f32 normAngle)))
(.f32 u (.f32 normAngle (/.f32 (*.f32 #s(literal 1 binary32) n1_i) (sin.f32 normAngle))))
(.f32 normAngle (.f32 u (/.f32 (*.f32 #s(literal 1 binary32) n1_i) (sin.f32 normAngle))))
(.f32 normAngle (.f32 (/.f32 u (sin.f32 normAngle)) n1_i))
(.f32 (.f32 u normAngle) (/.f32 (*.f32 #s(literal 1 binary32) n1_i) (sin.f32 normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (*.f32 u normAngle) n1_i))
(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)
(.f32 (/.f32 (.f32 #s(literal 1 binary32) n1_i) (sin.f32 normAngle)) (*.f32 u normAngle))
(.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
(.f32 (.f32 n1_i (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 n1_i #s(literal 7/360 binary32))
(*.f32 #s(literal 7/360 binary32) n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(*.f32 #s(literal -7/2160 binary32) n1_i)
(+.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -1/2 binary32)))
(+.f32 (*.f32 u #s(literal -1/2 binary32)) #s(literal 1/3 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 u u) #s(literal 1/4 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u #s(literal -1/6 binary32)))) (fma.f32 (.f32 u (.f32 u u)) #s(literal -1/8 binary32) #s(literal 1/27 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 u u) #s(literal 1/4 binary32) #s(literal -1/9 binary32))) #s(literal -1 binary32))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
(-.f32 (/.f32 (.f32 (.f32 u u) #s(literal 1/4 binary32)) (fma.f32 u #s(literal -1/2 binary32) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal -1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 u u) #s(literal 1/4 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u #s(literal -1/6 binary32)))) (fma.f32 (.f32 u (.f32 u u)) #s(literal -1/8 binary32) #s(literal 1/27 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal -1/3 binary32)) (fma.f32 (*.f32 u u) #s(literal 1/4 binary32) #s(literal -1/9 binary32))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal -1/8 binary32) #s(literal 1/27 binary32)) (fma.f32 (.f32 u u) #s(literal 1/4 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u #s(literal -1/6 binary32)))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal -1/8 binary32) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 (.f32 u u) #s(literal 1/4 binary32)) (*.f32 u #s(literal -1/6 binary32)))))
(/.f32 (fma.f32 (*.f32 u u) #s(literal 1/4 binary32) #s(literal -1/9 binary32)) (fma.f32 u #s(literal -1/2 binary32) #s(literal -1/3 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal -1/8 binary32) #s(literal 1/27 binary32))) (neg.f32 (fma.f32 (.f32 u u) #s(literal 1/4 binary32) (-.f32 #s(literal 1/9 binary32) (.f32 u #s(literal -1/6 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u u) #s(literal 1/4 binary32) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal -1/3 binary32))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 u u) #s(literal 1/4 binary32))) (-.f32 #s(literal 1/3 binary32) (*.f32 u #s(literal -1/2 binary32))))
(.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal -1/8 binary32) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u u) #s(literal 1/4 binary32) (-.f32 #s(literal 1/9 binary32) (*.f32 u #s(literal -1/6 binary32))))))
(.f32 (fma.f32 (.f32 u u) #s(literal 1/4 binary32) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal -1/3 binary32))))
(*.f32 n1_i #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) n1_i)
(neg.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 (sin.f32 normAngle)) #s(literal -1 binary32)))
(pow.f32 (sin.f32 normAngle) #s(literal -1 binary32))
(pow.f32 (neg.f32 (neg.f32 (sin.f32 normAngle))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (sin.f32 normAngle) (sin.f32 normAngle)) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (sin.f32 normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle))))
(*.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))

simplify431.0ms (2.9%)

Memory

-35.2MiB live, 607.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 812×	`lower-fma.f64`
12 812×	`lower-fma.f32`
6 944×	`lower-*.f64`
6 944×	`lower-*.f32`
4 154×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	556	7686
1	1845	7522
2	6784	7511
0	8305	6804

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 480

Calls

Call 1

Inputs
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(* 2/945 n0_i)
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(* 2/945 n0_i)
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(* 2/945 n0_i)
(+ (* 31/15120 n1_i) (* 2/945 n0_i))
(+ (* 31/15120 n1_i) (* 2/945 n0_i))
(+ (* 31/15120 n1_i) (* 2/945 n0_i))
(* 31/15120 n1_i)
(* n1_i (+ 31/15120 (* 2/945 (/ n0_i n1_i))))
(* n1_i (+ 31/15120 (* 2/945 (/ n0_i n1_i))))
(* n1_i (+ 31/15120 (* 2/945 (/ n0_i n1_i))))
(* 31/15120 n1_i)
(* -1 (* n1_i (- (* -2/945 (/ n0_i n1_i)) 31/15120)))
(* -1 (* n1_i (- (* -2/945 (/ n0_i n1_i)) 31/15120)))
(* -1 (* n1_i (- (* -2/945 (/ n0_i n1_i)) 31/15120)))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u)))) (/ n0_i u)))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u)))) (/ n0_i u)))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (+ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (* (pow normAngle 2) (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))
(* (pow normAngle 6) (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(* (pow normAngle 6) (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(* -1 (* n0_i (- (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))) 1)))
(+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)) n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)
(* (pow normAngle 6) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (+ (* -7/2160 n1_i) (+ (* 1/840 n1_i) (/ n0_i (pow normAngle 6))))))
(* (pow normAngle 6) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (+ (* -7/2160 n1_i) (+ (* 1/840 n1_i) (/ n0_i (pow normAngle 6))))))
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))))
(- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i)))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i)))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i)))))) n0_i)
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n1_i))) (/ n0_i n1_i)))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* 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 (+ 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)))))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
n0_i
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 (* n0_i u))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
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))))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))
(+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))
(+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
n0_i
(+ n0_i (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(+ n0_i (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(+ n0_i (* 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 (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ n0_i n1_i))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ n0_i n1_i))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ n0_i n1_i))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ n0_i n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ n0_i n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ n0_i n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
n0_i
(+ n0_i (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))
(+ n0_i (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(+ n0_i (* u (+ n1_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))))
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* -1 (/ n1_i (pow u 2))) (+ (* -1/6 (/ (* n1_i (pow normAngle 2)) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))
(+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))
(+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))
(+ n0_i (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)))
n0_i
(* n0_i (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (/ (* n1_i u) n0_i))))
(* n0_i (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (/ (* n1_i u) n0_i))))
(* n0_i (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (/ (* n1_i u) n0_i))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) 1)))
(* -1 u)
(* u (- (pow u 2) 1))
(* u (- (pow u 2) 1))
(* u (- (pow u 2) 1))
(pow u 3)
(* (pow u 3) (- 1 (/ 1 (pow u 2))))
(* (pow u 3) (- 1 (/ 1 (pow u 2))))
(* (pow u 3) (- 1 (/ 1 (pow u 2))))
(pow u 3)
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))
(* -1 (* (pow u 3) (- (/ 1 (pow u 2)) 1)))
(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)
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* 1/6 (* n1_i u))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(* -1/6 (* n1_i (pow u 3)))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* -1/6 (* n1_i (pow u 3)))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* n1_i u)
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
1/3
(+ 1/3 (* -1/2 u))
(+ 1/3 (* -1/2 u))
(+ 1/3 (* -1/2 u))
(* -1/2 u)
(* u (- (* 1/3 (/ 1 u)) 1/2))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(* -1/2 u)
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(* -1/6 n1_i)
(/ 1 normAngle)
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))

Outputs
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(*.f32 n1_i #s(literal 31/15120 binary32))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(fma.f32 n1_i #s(literal 31/15120 binary32) (*.f32 #s(literal 2/945 binary32) n0_i))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(fma.f32 n1_i #s(literal 31/15120 binary32) (*.f32 #s(literal 2/945 binary32) n0_i))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(fma.f32 n1_i #s(literal 31/15120 binary32) (*.f32 #s(literal 2/945 binary32) n0_i))
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal 31/15120 binary32) #s(literal 2/945 binary32)))
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal 31/15120 binary32) #s(literal 2/945 binary32)))
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal 31/15120 binary32) #s(literal 2/945 binary32)))
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(*.f32 n0_i (neg.f32 (fma.f32 #s(literal -31/15120 binary32) (/.f32 n1_i n0_i) #s(literal -2/945 binary32))))
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(*.f32 n0_i (neg.f32 (fma.f32 #s(literal -31/15120 binary32) (/.f32 n1_i n0_i) #s(literal -2/945 binary32))))
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(*.f32 n0_i (neg.f32 (fma.f32 #s(literal -31/15120 binary32) (/.f32 n1_i n0_i) #s(literal -2/945 binary32))))
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(+ (* 31/15120 n1_i) (* 2/945 n0_i))
(fma.f32 n1_i #s(literal 31/15120 binary32) (*.f32 #s(literal 2/945 binary32) n0_i))
(+ (* 31/15120 n1_i) (* 2/945 n0_i))
(fma.f32 n1_i #s(literal 31/15120 binary32) (*.f32 #s(literal 2/945 binary32) n0_i))
(+ (* 31/15120 n1_i) (* 2/945 n0_i))
(fma.f32 n1_i #s(literal 31/15120 binary32) (*.f32 #s(literal 2/945 binary32) n0_i))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* n1_i (+ 31/15120 (* 2/945 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 #s(literal 2/945 binary32) (/.f32 n0_i n1_i) #s(literal 31/15120 binary32)))
(* n1_i (+ 31/15120 (* 2/945 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 #s(literal 2/945 binary32) (/.f32 n0_i n1_i) #s(literal 31/15120 binary32)))
(* n1_i (+ 31/15120 (* 2/945 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 #s(literal 2/945 binary32) (/.f32 n0_i n1_i) #s(literal 31/15120 binary32)))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* -1 (* n1_i (- (* -2/945 (/ n0_i n1_i)) 31/15120)))
(neg.f32 (*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -2/945 binary32) #s(literal -31/15120 binary32))))
(* -1 (* n1_i (- (* -2/945 (/ n0_i n1_i)) 31/15120)))
(neg.f32 (*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -2/945 binary32) #s(literal -31/15120 binary32))))
(* -1 (* n1_i (- (* -2/945 (/ n0_i n1_i)) 31/15120)))
(neg.f32 (*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -2/945 binary32) #s(literal -31/15120 binary32))))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 (.f32 u (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32)) n1_i)) n0_i) n0_i)
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))) n0_i)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 (.f32 u (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32)) n1_i)) n0_i) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(.f32 u (.f32 u (.f32 #s(literal -1/2 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))
(.f32 u (.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (/.f32 (.f32 normAngle normAngle) u) (-.f32 (/.f32 n1_i u) (/.f32 n0_i u))))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u)))) (/ n0_i u)))
(.f32 (.f32 u u) (+.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 n0_i (.f32 u u))) (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) u) (-.f32 (/.f32 n1_i u) (/.f32 n0_i u)))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u)))) (/ n0_i u)))
(.f32 (.f32 u u) (+.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 n0_i (.f32 u u))) (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) u) (-.f32 (/.f32 n1_i u) (/.f32 n0_i u)))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(.f32 u (.f32 u (.f32 #s(literal -1/2 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) u))) (/ n0_i u)))
(.f32 u (.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (/.f32 (.f32 normAngle normAngle) u) (-.f32 (/.f32 n1_i u) (/.f32 n0_i u))))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u u) (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) n1_i) (-.f32 (/.f32 n0_i u) n0_i)) u)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u u) (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) n1_i) (-.f32 (/.f32 n0_i u) n0_i)) u)))
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (+ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (* (pow normAngle 2) (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) (.f32 u (.f32 normAngle normAngle)) (.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))))) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* (pow normAngle 6) (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) (*.f32 u (pow.f32 normAngle #s(literal 6 binary32))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (.f32 u (+.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (+.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 normAngle normAngle))) (/.f32 (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) (.f32 (.f32 normAngle normAngle) (*.f32 normAngle normAngle)))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) u (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)))) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (pow.f32 normAngle #s(literal 6 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))))
(* (pow normAngle 6) (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) (*.f32 u (pow.f32 normAngle #s(literal 6 binary32))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (.f32 u (+.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (+.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 normAngle normAngle))) (/.f32 (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) (.f32 (.f32 normAngle normAngle) (*.f32 normAngle normAngle)))))
(* (pow normAngle 6) (+ (* u (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) u (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)))) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (pow.f32 normAngle #s(literal 6 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* -1 (* n0_i (- (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)))))) 1)))
(fma.f32 (fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal -2/945 binary32) (.f32 normAngle normAngle) #s(literal -1/45 binary32))) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) u) (neg.f32 n0_i) n0_i)
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))) 1)))
(fma.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal -2/945 binary32) (.f32 normAngle normAngle) #s(literal -1/45 binary32))) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) (neg.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (/.f32 u n0_i)))) (neg.f32 n0_i) n0_i)
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))) 1)))
(fma.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal -2/945 binary32) (.f32 normAngle normAngle) #s(literal -1/45 binary32))) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) (neg.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (/.f32 u n0_i)))) (neg.f32 n0_i) n0_i)
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))) 1)))
(fma.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal -2/945 binary32) (.f32 normAngle normAngle) #s(literal -1/45 binary32))) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) (neg.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (/.f32 u n0_i)))) (neg.f32 n0_i) n0_i)
(+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) n0_i)
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) u) n0_i))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) u) n0_i))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) u) n0_i))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) u))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) (/.f32 u n1_i) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) (/.f32 u n1_i) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) (/.f32 u n1_i) (/.f32 n0_i n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))
(.f32 (.f32 u (neg.f32 n1_i)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -31/15120 binary32) (*.f32 normAngle normAngle) #s(literal -7/360 binary32)) #s(literal -1/6 binary32)) #s(literal -1 binary32)))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle) #s(literal -7/360 binary32)) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle) #s(literal -7/360 binary32)) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle) #s(literal -7/360 binary32)) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) n0_i)
(fma.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) normAngle) normAngle (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) (-.f32 n1_i n0_i))
(* (pow normAngle 6) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) (pow.f32 normAngle #s(literal 6 binary32)))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (.f32 #s(literal 2/945 binary32) n0_i)))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 2/945 binary32) n0_i (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (fma.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (/.f32 n0_i (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (/.f32 (.f32 n0_i #s(literal 1/45 binary32)) (.f32 normAngle normAngle))))))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (+ (* -7/2160 n1_i) (+ (* 1/840 n1_i) (/ n0_i (pow normAngle 6))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 #s(literal 2/945 binary32) n0_i (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle)) (-.f32 (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (*.f32 normAngle normAngle))) (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32)))))) (fma.f32 #s(literal -31/15120 binary32) n1_i (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32))))))))
(* (pow normAngle 6) (- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(.f32 (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 #s(literal 2/945 binary32) n0_i)) (pow.f32 normAngle #s(literal 6 binary32)))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (.f32 #s(literal 2/945 binary32) n0_i)))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 2/945 binary32) n0_i (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (fma.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (/.f32 n0_i (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (/.f32 (.f32 n0_i #s(literal 1/45 binary32)) (.f32 normAngle normAngle))))))))
(* (pow normAngle 6) (- (+ (* 2/945 n0_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (+ (* -7/2160 n1_i) (+ (* 1/840 n1_i) (/ n0_i (pow normAngle 6))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 #s(literal 2/945 binary32) n0_i (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle)) (-.f32 (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (*.f32 normAngle normAngle))) (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32)))))) (fma.f32 #s(literal -31/15120 binary32) n1_i (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32))))))))
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) (/.f32 (.f32 normAngle normAngle) n0_i) (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) (/.f32 (.f32 normAngle normAngle) n0_i) (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))) n0_i))) 1))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) (/.f32 (.f32 normAngle normAngle) n0_i) (+.f32 (/.f32 n1_i n0_i) #s(literal -1 binary32)))))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)))))))
(neg.f32 (fma.f32 (.f32 n0_i (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal -2/945 binary32) (.f32 normAngle normAngle) #s(literal -1/45 binary32))) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))))
(.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal -2/945 binary32) (.f32 normAngle normAngle) #s(literal -1/45 binary32))) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)) (neg.f32 n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))))
(.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal -2/945 binary32) (.f32 normAngle normAngle) #s(literal -1/45 binary32))) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)) (neg.f32 n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45))))))))
(.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal -2/945 binary32) (.f32 normAngle normAngle) #s(literal -1/45 binary32))) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal 31/15120 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)) (neg.f32 n0_i))
(- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i))
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i)))))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)))
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i)))))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)))
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i)))))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) (.f32 n1_i (.f32 normAngle normAngle)) n1_i)
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n1_i))) (/ n0_i n1_i)))
(.f32 n1_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) n1_i)))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n1_i))) (/ n0_i n1_i)))
(.f32 n1_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) n1_i)))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n1_i))) (/ n0_i n1_i)))
(.f32 n1_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) n1_i)))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))
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(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (pow normAngle 2))) (* 1/45 n0_i))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
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(* -1/6 (* n1_i (pow u 3)))
(.f32 u (.f32 n1_i (.f32 (.f32 u u) #s(literal -1/6 binary32))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 n1_i (.f32 u u)) (*.f32 n1_i #s(literal 1/6 binary32)))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 n1_i (.f32 u u)) (*.f32 n1_i #s(literal 1/6 binary32)))))
(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 n1_i (.f32 u u)) (*.f32 n1_i #s(literal 1/6 binary32)))))
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u)
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 7/360 binary32)) (.f32 u #s(literal 1/6 binary32))) u)
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32)))) (.f32 u #s(literal -7/360 binary32)))) (.f32 u #s(literal 1/6 binary32))) u)
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n0_i)
n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(fma.f32 n0_i (/.f32 (.f32 n1_i (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) n0_i)
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(fma.f32 n0_i (/.f32 (.f32 n1_i (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) n0_i)
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(fma.f32 n0_i (/.f32 (.f32 n1_i (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) n0_i)
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(fma.f32 (neg.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (neg.f32 n0_i) n0_i)
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(fma.f32 (neg.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (neg.f32 n0_i) n0_i)
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(fma.f32 (neg.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle)))) (neg.f32 n0_i) n0_i)
(+ n0_i (* n1_i u))
(fma.f32 n1_i u n0_i)
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n1_i #s(literal 7/360 binary32))) (.f32 #s(literal 1/6 binary32) (.f32 n1_i u))) (fma.f32 n1_i u n0_i))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 n1_i u) #s(literal -7/2160 binary32) (.f32 (.f32 n1_i u) #s(literal 1/840 binary32))) (.f32 n1_i (.f32 u #s(literal -7/360 binary32))))) (.f32 #s(literal 1/6 binary32) (.f32 n1_i u))) (fma.f32 n1_i u n0_i))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(*.f32 normAngle (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle)))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(*.f32 normAngle (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle)))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(*.f32 normAngle (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(*.f32 normAngle (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(*.f32 normAngle (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(*.f32 normAngle (fma.f32 n1_i (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i normAngle)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n0_i)
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(*.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i u)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u) n0_i)
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(*.f32 n1_i (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(*.f32 n1_i (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(*.f32 n1_i (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(*.f32 n1_i (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(*.f32 n1_i (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(*.f32 n1_i (fma.f32 u (/.f32 normAngle (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* n1_i u)
(*.f32 n1_i u)
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(.f32 u (fma.f32 n1_i (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i))
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n1_i #s(literal 7/360 binary32))) (.f32 #s(literal 1/6 binary32) (.f32 n1_i u))) (*.f32 n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 n1_i u) #s(literal -7/2160 binary32) (.f32 (.f32 n1_i u) #s(literal 1/840 binary32))) (.f32 n1_i (.f32 u #s(literal -7/360 binary32))))) (.f32 #s(literal 1/6 binary32) (.f32 n1_i u))) (*.f32 n1_i u))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* -1/2 u))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* -1/2 u))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* -1/2 u))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
(* -1/2 u)
(*.f32 u #s(literal -1/2 binary32))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(*.f32 u (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(*.f32 u (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(*.f32 u (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* -1/2 u)
(*.f32 u #s(literal -1/2 binary32))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(*.f32 (neg.f32 u) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(*.f32 (neg.f32 u) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(*.f32 (neg.f32 u) (+.f32 #s(literal 1/2 binary32) (/.f32 #s(literal -1/3 binary32) u)))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(* -1/6 n1_i)
(*.f32 n1_i #s(literal -1/6 binary32))
(/ 1 normAngle)
(/.f32 #s(literal 1 binary32) normAngle)
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)
(/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))

eval162.0ms (1.1%)

Memory: -5.4MiB live, 236.3MiB allocated
Compiler: Compiled 54 908 to 2 616 computations (95.2% saved)

prune119.0ms (0.8%)

Memory

8.9MiB live, 242.9MiB allocated

Pruning

23 alts after pruning (20 fresh and 3 done)

	Pruned	Kept	Total
New	1 056	10	1 066
Fresh	4	10	14
Picked	3	2	5
Done	0	1	1
Total	1 063	23	1 086

Accuracy

100.0%

Counts

1 086 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	58.5%	(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
	83.3%	(fma.f32 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) (.f32 n1_i (.f32 normAngle normAngle)) n1_i) n0_i)
	99.6%	(fma.f32 u (fma.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
▶	99.7%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	99.6%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) u) n0_i))
▶	99.4%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
	83.1%	(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
	99.4%	(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) n0_i))
	98.6%	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	98.1%	(fma.f32 u n1_i (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32))))
✓	98.4%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
▶	82.6%	(fma.f32 n1_i u n0_i)
✓	98.3%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	58.3%	(fma.f32 n0_i (neg.f32 u) n0_i)
	99.1%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (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))
	83.3%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (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 u #s(literal 1/120 binary32)))) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n1_i))
	83.0%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i))
	82.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
	36.7%	(.f32 (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) u)) (/.f32 n1_i (sin.f32 normAngle)))
	36.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
	37.3%	(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
▶	97.6%	(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
✓	37.0%	(*.f32 n1_i u)

Compiler

Compiled 985 to 581 computations (41% saved)

simplify594.0ms (4.1%)

Memory

15.8MiB live, 840.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32))
✓	cost-diff	0	(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
✓	cost-diff	0	(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))
✓	cost-diff	0	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	0	(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
✓	cost-diff	0	(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
✓	cost-diff	512	(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
✓	cost-diff	0	(fma.f32 n1_i u n0_i)
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
✓	cost-diff	0	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
✓	cost-diff	160	(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (*.f32 n1_i #s(literal 7/360 binary32)))

Rules

24 904×	`lower-fma.f64`
24 872×	`lower-fma.f32`
4 482×	`lower-*.f64`
4 470×	`lower-*.f32`
3 176×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	345
0	79	345
1	207	345
2	661	340
3	2315	340
4	3561	337
5	6887	337
0	8158	331

Stop Event

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

Calls

Call 1

Inputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (*.f32 n1_i #s(literal 7/360 binary32))))
n0_i
#s(literal 1/45 binary32)
(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (*.f32 n1_i #s(literal 7/360 binary32)))
(*.f32 n1_i #s(literal 31/15120 binary32))
n1_i
#s(literal 31/15120 binary32)
(*.f32 n1_i #s(literal 7/360 binary32))
#s(literal 7/360 binary32)
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
#s(literal -1/2 binary32)
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
(fma.f32 n1_i u n0_i)
n1_i
u
n0_i
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
n1_i
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
n0_i
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
n0_i
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
#s(literal -1/2 binary32)
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
n1_i
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
u
#s(literal -1/2 binary32)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))
(fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32))
#s(literal 2/945 binary32)
#s(literal 1/45 binary32)
#s(literal 1/3 binary32)
#s(literal -1 binary32)
(*.f32 n0_i u)
n0_i

Outputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (*.f32 n1_i #s(literal 7/360 binary32))))
(fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32))))
n0_i
#s(literal 1/45 binary32)
(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (*.f32 n1_i #s(literal 7/360 binary32)))
(.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)))
(*.f32 n1_i #s(literal 31/15120 binary32))
n1_i
#s(literal 31/15120 binary32)
(*.f32 n1_i #s(literal 7/360 binary32))
#s(literal 7/360 binary32)
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
#s(literal -1/2 binary32)
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
(fma.f32 n1_i u n0_i)
(fma.f32 u n1_i n0_i)
n1_i
u
n0_i
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n1_i
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 n0_i n1_i) u)
n0_i
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
u
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
u
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
n0_i
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
#s(literal -1/2 binary32)
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
n1_i
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(fma.f32 u (.f32 n0_i (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 2/945 binary32)) #s(literal 1/45 binary32)) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) #s(literal -1 binary32))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 2/945 binary32)) #s(literal 1/45 binary32)) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) #s(literal -1 binary32))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 2/945 binary32)) #s(literal 1/45 binary32)) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))
u
#s(literal -1/2 binary32)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 2/945 binary32)) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))
(fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32))
(fma.f32 normAngle (*.f32 normAngle #s(literal 2/945 binary32)) #s(literal 1/45 binary32))
#s(literal 2/945 binary32)
#s(literal 1/45 binary32)
#s(literal 1/3 binary32)
#s(literal -1 binary32)
(*.f32 n0_i u)
(*.f32 u n0_i)
n0_i

localize296.0ms (2%)

Memory

-9.8MiB live, 197.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))
✓	accuracy	99.9%	(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
✓	accuracy	99.9%	(fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32))
✓	accuracy	99.0%	(fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
✓	accuracy	99.8%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
✓	accuracy	99.4%	(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
✓	accuracy	99.0%	(*.f32 n1_i #s(literal 1/6 binary32))
✓	accuracy	98.9%	(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	99.5%	(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
✓	accuracy	99.3%	(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
✓	accuracy	99.1%	(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
✓	accuracy	100.0%	(fma.f32 n1_i u n0_i)
✓	accuracy	99.3%	(*.f32 n1_i #s(literal 31/15120 binary32))
✓	accuracy	99.0%	(*.f32 n1_i #s(literal 1/6 binary32))
✓	accuracy	98.9%	(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
✓	accuracy	98.6%	(*.f32 n1_i #s(literal 7/360 binary32))

Samples

129.0ms	253×	0	valid
3.0ms	2×	5	exit
1.0ms	1×	1	valid

Compiler

Compiled 399 to 56 computations (86% saved)

Precisions

Click to see histograms. Total time spent on operations: 112.0ms

ival-mult: 57.0ms (51.1% of total)

ival-add: 31.0ms (27.8% of total)

const: 17.0ms (15.2% of total)

ival-div: 2.0ms (1.8% of total)

ival-sub: 2.0ms (1.8% of total)

adjust: 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)

series57.0ms (0.4%)

Memory

28.5MiB live, 65.4MiB allocated

Counts

21 → 564

Calls

Call 1

Inputs
#<alt (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (*.f32 n1_i #s(literal 7/360 binary32)))>
#<alt (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)>
#<alt (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))>
#<alt (*.f32 normAngle normAngle)>
#<alt (fma.f32 n1_i u n0_i)>
#<alt (*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))>
#<alt (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)>
#<alt (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)>
#<alt (-.f32 #s(literal 1 binary32) u)>
#<alt (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)>
#<alt (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))>
#<alt (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))>
#<alt (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)>
#<alt (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32))>
#<alt (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))>
#<alt (*.f32 n1_i #s(literal 7/360 binary32))>
#<alt (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))>
#<alt (*.f32 n1_i #s(literal 1/6 binary32))>
#<alt (*.f32 n1_i #s(literal 31/15120 binary32))>
#<alt (fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32))>
#<alt (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))>

Outputs
#<alt (* 7/360 n1_i)>
#<alt (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))>
#<alt (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))>
#<alt (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))>
#<alt (* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u)))) (/ n0_i u)))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u)))) (/ n0_i u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))))>
#<alt (* 31/15120 (* n1_i (* (pow normAngle 6) u)))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))>
#<alt (* 31/15120 (* n1_i (* (pow normAngle 6) u)))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))>
#<alt (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i))))>
#<alt (* -1 (* n0_i (- (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2)))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))) 1)))>
#<alt (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))))>
#<alt (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)) n1_i))))>
#<alt (* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (- n1_i n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) n0_i)>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)>
#<alt (* 31/15120 (* n1_i (pow normAngle 6)))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))))>
#<alt (* (pow normAngle 6) (- (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (/ n0_i (pow normAngle 6))))>
#<alt (* 31/15120 (* n1_i (pow normAngle 6)))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))))>
#<alt (* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))))>
#<alt (* (pow normAngle 6) (- (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (/ n0_i (pow normAngle 6))))>
#<alt (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))>
#<alt (+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))>
#<alt (+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))>
#<alt (+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))>
#<alt (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1))>
#<alt (* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))) n0_i))) 1))>
#<alt (* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))) n0_i))) 1))>
#<alt (* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))) n0_i))) 1))>
#<alt (* -1 (* n0_i (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2)))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))))>
#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))))>
#<alt (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)>
#<alt (- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)>
#<alt (- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)>
#<alt (- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)>
#<alt (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))>
#<alt (* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n1_i))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n1_i))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n1_i))) (/ n0_i n1_i)))>
#<alt (* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))>
#<alt (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)>
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)>
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)>
#<alt (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))>
#<alt (* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (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 (pow normAngle 2)>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* n1_i u)>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<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 (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u))>
#<alt (+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u))>
#<alt (+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u))>
#<alt (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i))))>
#<alt (* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i)))>
#<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 (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))))>
#<alt (+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))))>
#<alt (+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))))>
#<alt (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i)))))>
#<alt (* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u)))>
#<alt (* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u)))>
#<alt (* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u)))>
#<alt (* -1 (* n1_i (* u (- (/ n0_i n1_i) 1))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1)))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1)))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1)))))>
#<alt u>
#<alt (+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i))))>
#<alt (+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i))))>
#<alt (+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i))))>
#<alt (* n0_i (- (/ 1 n1_i) (/ u n1_i)))>
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#<alt (* n1_i (+ 1/6 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)))>
#<alt (* n1_i (+ 1/6 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)))>
#<alt (* n1_i (+ 1/6 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)))>
#<alt (* 1/6 n1_i)>
#<alt (* -1 (* n1_i (- (* -1 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)) 1/6)))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n0_i (* (pow normAngle 2) (* u (+ 1/3 (* -1/2 u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/45 (* n0_i (* (pow normAngle 2) u))) (* n0_i (* u (+ 1/3 (* -1/2 u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (* (pow normAngle 2) u))) (* 1/45 (* n0_i u))))))))>
#<alt (* 2/945 (* n0_i (* (pow normAngle 6) u)))>
#<alt (* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (* 1/45 (/ (* n0_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))>
#<alt (* (pow normAngle 6) (+ (* -1 (/ (* n0_i u) (pow normAngle 6))) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))))>
#<alt (* 2/945 (* n0_i (* (pow normAngle 6) u)))>
#<alt (* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (* 1/45 (/ (* n0_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))>
#<alt (* (pow normAngle 6) (+ (* -1 (/ (* n0_i u) (pow normAngle 6))) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))))>
#<alt n0_i>
#<alt (+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))))>
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))))>
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u)))>
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u))))>
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u))))>
#<alt (* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))>
#<alt (* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u)))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))>
#<alt -1>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)>
#<alt (* 2/945 (pow normAngle 6))>
#<alt (* (pow normAngle 6) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 6) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))>
#<alt (* (pow normAngle 6) (- (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))) (/ 1 (pow normAngle 6))))>
#<alt (* 2/945 (pow normAngle 6))>
#<alt (* (pow normAngle 6) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 6) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))>
#<alt (* (pow normAngle 6) (- (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))) (/ 1 (pow normAngle 6))))>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)>
#<alt (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)>
#<alt (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)>
#<alt (- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)>
#<alt (* -1/2 (* (pow normAngle 2) u))>
#<alt (* u (- (+ (* -1/2 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) u)) (/ 1 u)))>
#<alt (* u (- (+ (* -1/2 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) u)) (/ 1 u)))>
#<alt (* u (- (+ (* -1/2 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) u)) (/ 1 u)))>
#<alt (* -1/2 (* (pow normAngle 2) u))>
#<alt (* -1 (* u (+ (* -1 (/ (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) u)) (* 1/2 (pow normAngle 2)))))>
#<alt (* -1 (* u (+ (* -1 (/ (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) u)) (* 1/2 (pow normAngle 2)))))>
#<alt (* -1 (* u (+ (* -1 (/ (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) u)) (* 1/2 (pow normAngle 2)))))>
#<alt (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))>
#<alt (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))>
#<alt (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))>
#<alt (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))>
#<alt (* -1/2 u)>
#<alt (* u (- (+ (* 1/3 (/ 1 u)) (/ (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))) u)) 1/2))>
#<alt (* u (- (+ (* 1/3 (/ 1 u)) (/ (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))) u)) 1/2))>
#<alt (* u (- (+ (* 1/3 (/ 1 u)) (/ (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))) u)) 1/2))>
#<alt (* -1/2 u)>
#<alt (* -1 (* u (+ 1/2 (* -1 (/ (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))) u)))))>
#<alt (* -1 (* u (+ 1/2 (* -1 (/ (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))) u)))))>
#<alt (* -1 (* u (+ 1/2 (* -1 (/ (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))) u)))))>
#<alt (+ 1/3 (* -1/2 u))>
#<alt (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))>
#<alt (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))>
#<alt (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))>
#<alt (* 2/945 (pow normAngle 4))>
#<alt (* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))>
#<alt (* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))>
#<alt (* 2/945 (pow normAngle 4))>
#<alt (* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))>
#<alt (* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt 1/3>
#<alt (+ 1/3 (* -1/2 u))>
#<alt (+ 1/3 (* -1/2 u))>
#<alt (+ 1/3 (* -1/2 u))>
#<alt (* -1/2 u)>
#<alt (* u (- (* 1/3 (/ 1 u)) 1/2))>
#<alt (* u (- (* 1/3 (/ 1 u)) 1/2))>
#<alt (* u (- (* 1/3 (/ 1 u)) 1/2))>
#<alt (* -1/2 u)>
#<alt (* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))>
#<alt (* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt (* 31/15120 n1_i)>
#<alt 1/45>
#<alt (+ 1/45 (* 2/945 (pow normAngle 2)))>
#<alt (+ 1/45 (* 2/945 (pow normAngle 2)))>
#<alt (+ 1/45 (* 2/945 (pow normAngle 2)))>
#<alt (* 2/945 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* 2/945 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/45 (pow normAngle 2)))>
#<alt (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))>
#<alt (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))>
#<alt (* 2/945 (pow normAngle 4))>
#<alt (* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))>
#<alt (* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))>
#<alt (* 2/945 (pow normAngle 4))>
#<alt (* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))>
#<alt (* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))>

Calls

141 calls:

Time	Variable		Point	Expression
10.0ms	u	@	inf	(+ (* n0_i (+ (* -1/2 u) 1/3)) (* n1_i 1/6))
2.0ms	n0_i	@	0	(+ (* (+ (* (* normAngle normAngle) (+ (* u -1/2) (+ (* (* normAngle normAngle) (+ (* 2/945 (* normAngle normAngle)) 1/45)) 1/3))) -1) (* n0_i u)) n0_i)
1.0ms	n0_i	@	0	(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (* n1_i 31/15120)) (* n1_i 7/360)))) (+ (* n0_i (+ (* -1/2 u) 1/3)) (* n1_i 1/6)))) (- n1_i n0_i))) n0_i)
1.0ms	n0_i	@	-inf	(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (* n1_i 31/15120)) (* n1_i 7/360)))) (+ (* n0_i (+ (* -1/2 u) 1/3)) (* n1_i 1/6)))) (- n1_i n0_i))) n0_i)
1.0ms	n0_i	@	inf	(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (* n1_i 31/15120)) (* n1_i 7/360)))) (+ (* n0_i (+ (* -1/2 u) 1/3)) (* n1_i 1/6)))) (- n1_i n0_i))) n0_i)

rewrite749.0ms (5.1%)

Memory

-38.5MiB live, 621.7MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 186×	`lower-*.f64`
7 174×	`lower-*.f32`
6 192×	`lower-fma.f64`
6 160×	`lower-fma.f32`
3 234×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	243
0	79	243
1	427	243
2	3947	243
0	10129	243

Stop Event

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

Counts

21 → 732

Calls

Call 1

Inputs
(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (*.f32 n1_i #s(literal 7/360 binary32)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(*.f32 normAngle normAngle)
(fma.f32 n1_i u n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)
(/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)
(-.f32 #s(literal 1 binary32) u)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(*.f32 n1_i #s(literal 7/360 binary32))
(fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))
(*.f32 n1_i #s(literal 1/6 binary32))
(*.f32 n1_i #s(literal 31/15120 binary32))
(fma.f32 #s(literal 2/945 binary32) (*.f32 normAngle normAngle) #s(literal 1/45 binary32))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))

Outputs
(+.f32 (.f32 n1_i #s(literal 7/360 binary32)) (.f32 normAngle (.f32 normAngle (.f32 n1_i #s(literal 31/15120 binary32)))))
(+.f32 (.f32 normAngle (.f32 normAngle (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))
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(.f32 (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 8/843908625 binary32)) #s(literal 1/91125 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 4/893025 binary32) (-.f32 #s(literal 1/2025 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal 2/42525 binary32))))))
(.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 4/893025 binary32) #s(literal -1/2025 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (*.f32 normAngle #s(literal 2/945 binary32)) #s(literal -1/45 binary32))))
(+.f32 #s(literal 1/3 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))))
(+.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) #s(literal 1/3 binary32))
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32))) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(+.f32 (+.f32 #s(literal 1/3 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32)))) (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))
(pow.f32 (/.f32 (-.f32 (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 normAngle normAngle) #s(literal 1/9 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))) (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))))) #s(literal 1/27 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal -1/3 binary32)) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)))) #s(literal -1/9 binary32))) #s(literal -1 binary32))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) #s(literal 1/3 binary32))
(fma.f32 normAngle (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32))) (fma.f32 normAngle (.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(fma.f32 #s(literal 2/945 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 normAngle normAngle) #s(literal 1/3 binary32))
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32)) (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (.f32 normAngle #s(literal 2/945 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) normAngle #s(literal 1/3 binary32))
(fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 2/945 binary32) (fma.f32 normAngle (.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32)) normAngle) normAngle (fma.f32 normAngle (.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle #s(literal 2/945 binary32))) normAngle (fma.f32 normAngle (.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))
(-.f32 (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal -1/3 binary32))) (/.f32 #s(literal 1/9 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal -1/3 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 normAngle normAngle) #s(literal 1/9 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))) (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))))) #s(literal 1/27 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal -1/3 binary32)) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)))) #s(literal -1/9 binary32))))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))))) #s(literal 1/27 binary32)) (-.f32 (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 normAngle normAngle) #s(literal 1/9 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)))))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))))) #s(literal 1/27 binary32)) (+.f32 #s(literal 1/9 binary32) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))))) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)))) #s(literal -1/9 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal -1/3 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))))) #s(literal 1/27 binary32))) (neg.f32 (-.f32 (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 normAngle normAngle) #s(literal 1/9 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))))))
(/.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)))) #s(literal -1/9 binary32))) (neg.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal -1/3 binary32))))
(/.f32 (-.f32 #s(literal 1/9 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)))))) (-.f32 #s(literal 1/3 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)))))
(.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))))) #s(literal 1/27 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (.f32 normAngle normAngle) #s(literal 1/9 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))))))
(.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)))) #s(literal -1/9 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal -1/3 binary32))))

simplify591.0ms (4%)

Memory

33.3MiB live, 623.1MiB allocated

Algorithm

1×	egg-herbie

Rules

14 574×	`lower-fma.f64`
14 574×	`lower-fma.f32`
6 994×	`lower-*.f64`
6 994×	`lower-*.f32`
4 578×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	10290
1	2115	9984
2	7526	9984
0	8278	8903

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 553

Calls

Call 1

Inputs
(* 7/360 n1_i)
(+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))
(+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))
(+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u)))) (/ n0_i u)))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u)))) (/ n0_i u)))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))))
(* 31/15120 (* n1_i (* (pow normAngle 6) u)))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(* 31/15120 (* n1_i (* (pow normAngle 6) u)))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i))))
(* -1 (* n0_i (- (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2)))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))) 1)))
(+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)) n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)
(* 31/15120 (* n1_i (pow normAngle 6)))
(* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))))
(* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))))
(* (pow normAngle 6) (- (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (/ n0_i (pow normAngle 6))))
(* 31/15120 (* n1_i (pow normAngle 6)))
(* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))))
(* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))))
(* (pow normAngle 6) (- (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (/ n0_i (pow normAngle 6))))
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))) n0_i))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))) n0_i))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))) n0_i))) 1))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2)))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))))
(- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))) (/ (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n1_i))) (/ n0_i n1_i)))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6))) 1)))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i) u)) (* 1/2 (* n0_i (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)
(pow normAngle 2)
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* n1_i u)
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
n0_i
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* 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 (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u))
(+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u))
(+ (* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i)))) (* n1_i u))
(* n0_i (* n1_i (- (/ 1 n1_i) (/ u n1_i))))
(* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i)))
(* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i)))
(* n0_i (+ (* n1_i (- (/ 1 n1_i) (/ u n1_i))) (/ (* n1_i u) n0_i)))
(* 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 (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))))
(+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))))
(+ n0_i (* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i))))))
(* n1_i (* u (+ 1 (* -1 (/ n0_i n1_i)))))
(* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u)))
(* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u)))
(* u (+ (* n1_i (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i u)))
(* -1 (* n1_i (* u (- (/ n0_i n1_i) 1))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1)))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1)))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (/ n0_i n1_i) 1)))))
u
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i))))
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i))))
(+ u (* n0_i (- (/ 1 n1_i) (/ u n1_i))))
(* n0_i (- (/ 1 n1_i) (/ u n1_i)))
(* n0_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(* n0_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(* n0_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(/ (* n0_i (- 1 u)) n1_i)
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(* -1 (* n0_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(/ n0_i n1_i)
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i))
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i))
(+ (* u (+ 1 (* -1 (/ n0_i n1_i)))) (/ n0_i n1_i))
(* u (+ 1 (* -1 (/ n0_i n1_i))))
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u)))))
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u)))))
(* u (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u)))))
(* -1 (* u (- (/ n0_i n1_i) 1)))
(* -1 (* u (- (+ (* -1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)) 1)))
(* -1 (* u (- (+ (* -1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)) 1)))
(* -1 (* u (- (+ (* -1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)) 1)))
(/ (* n0_i (- 1 u)) n1_i)
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i)
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i)
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n1_i)
u
(+ u (/ (* n0_i (- 1 u)) n1_i))
(+ u (/ (* n0_i (- 1 u)) n1_i))
(+ u (/ (* n0_i (- 1 u)) n1_i))
u
(+ u (/ (* n0_i (- 1 u)) n1_i))
(+ u (/ (* n0_i (- 1 u)) n1_i))
(+ u (/ (* n0_i (- 1 u)) n1_i))
(/ 1 n1_i)
(+ (* -1 (/ u n1_i)) (/ 1 n1_i))
(+ (* -1 (/ u n1_i)) (/ 1 n1_i))
(+ (* -1 (/ u n1_i)) (/ 1 n1_i))
(* -1 (/ u n1_i))
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i)))
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i)))
(* u (- (/ 1 (* n1_i u)) (/ 1 n1_i)))
(* -1 (/ u n1_i))
(* -1 (* u (- (/ 1 n1_i) (/ 1 (* n1_i u)))))
(* -1 (* u (- (/ 1 n1_i) (/ 1 (* n1_i u)))))
(* -1 (* u (- (/ 1 n1_i) (/ 1 (* n1_i u)))))
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
(/ (- 1 u) n1_i)
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))))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u)))) (/ n0_i u)))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u)))) (/ n0_i u)))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))))
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)))) (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))
(* -1 (* n0_i (- (* u (+ 1 (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u))))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u))))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u))))))) 1)))
(+ n0_i (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i)))
(+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i)) n1_i))))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i))) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1))))
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) (/ n1_i n0_i))) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) (/ n1_i n0_i))) 1))
(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) (/ n1_i n0_i))) 1))
(* -1 (* n0_i (+ 1 (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i))))))
(* -1 (* n0_i (+ 1 (+ (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) (* -1 (/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) n0_i))))))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)
(- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)))
(* u (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) u))) (/ n0_i u)))
(* -1/2 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(* -1 (* u (+ (* -1 (/ (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i) u)) (* 1/2 (* n0_i (pow normAngle 2))))))
(- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i)
(- (+ (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)
(- (+ (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)
(- (+ (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)
(* n1_i (+ 1 (* 1/6 (pow normAngle 2))))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n1_i))) (/ n0_i n1_i)))
(* n1_i (- (+ 1 (+ (* 1/6 (pow normAngle 2)) (/ (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n1_i))) (/ n0_i n1_i)))
(* -1 (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i) n1_i)) (* -1/6 (pow normAngle 2))) 1)))
(* 1/6 n1_i)
(+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))
(+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))
(+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))
(* n0_i (+ 1/3 (* -1/2 u)))
(* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/6 (/ n1_i n0_i)))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/6 (/ n1_i n0_i)))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/6 (/ n1_i n0_i)))))
(* n0_i (+ 1/3 (* -1/2 u)))
(* -1 (* n0_i (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/6 (/ n1_i n0_i)))))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* -1/2 (* n0_i u))
(* u (+ (* -1/2 n0_i) (+ (* 1/6 (/ n1_i u)) (* 1/3 (/ n0_i u)))))
(* u (+ (* -1/2 n0_i) (+ (* 1/6 (/ n1_i u)) (* 1/3 (/ n0_i u)))))
(* u (+ (* -1/2 n0_i) (+ (* 1/6 (/ n1_i u)) (* 1/3 (/ n0_i u)))))
(* -1/2 (* n0_i u))
(* -1 (* u (+ (* -1 (/ (+ (* 1/6 n1_i) (* 1/3 n0_i)) u)) (* 1/2 n0_i))))
(* -1 (* u (+ (* -1 (/ (+ (* 1/6 n1_i) (* 1/3 n0_i)) u)) (* 1/2 n0_i))))
(* -1 (* u (+ (* -1 (/ (+ (* 1/6 n1_i) (* 1/3 n0_i)) u)) (* 1/2 n0_i))))
(* n0_i (+ 1/3 (* -1/2 u)))
(+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))
(+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))
(+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))
(* 1/6 n1_i)
(* n1_i (+ 1/6 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)))
(* n1_i (+ 1/6 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)))
(* n1_i (+ 1/6 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)))
(* 1/6 n1_i)
(* -1 (* n1_i (- (* -1 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1 (/ (* n0_i (+ 1/3 (* -1/2 u))) n1_i)) 1/6)))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (* n0_i (* (pow normAngle 2) (* u (+ 1/3 (* -1/2 u)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* 1/45 (* n0_i (* (pow normAngle 2) u))) (* n0_i (* u (+ 1/3 (* -1/2 u))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* (pow normAngle 2) (+ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (* (pow normAngle 2) (+ (* 2/945 (* n0_i (* (pow normAngle 2) u))) (* 1/45 (* n0_i u))))))))
(* 2/945 (* n0_i (* (pow normAngle 6) u)))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (* 1/45 (/ (* n0_i u) (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* -1 (/ (* n0_i u) (pow normAngle 6))) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))))
(* 2/945 (* n0_i (* (pow normAngle 6) u)))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (* 1/45 (/ (* n0_i u) (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* -1 (/ (* n0_i u) (pow normAngle 6))) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))))
n0_i
(+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u)))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))
(* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))
(* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))
(* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))
-1
(- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)
(- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)
(- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(* 2/945 (pow normAngle 6))
(* (pow normAngle 6) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 6) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(* (pow normAngle 6) (- (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))) (/ 1 (pow normAngle 6))))
(* 2/945 (pow normAngle 6))
(* (pow normAngle 6) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 6) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(* (pow normAngle 6) (- (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))) (/ 1 (pow normAngle 6))))
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(* -1/2 (* (pow normAngle 2) u))
(* u (- (+ (* -1/2 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) u)) (/ 1 u)))
(* u (- (+ (* -1/2 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) u)) (/ 1 u)))
(* u (- (+ (* -1/2 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) u)) (/ 1 u)))
(* -1/2 (* (pow normAngle 2) u))
(* -1 (* u (+ (* -1 (/ (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) u)) (* 1/2 (pow normAngle 2)))))
(* -1 (* u (+ (* -1 (/ (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) u)) (* 1/2 (pow normAngle 2)))))
(* -1 (* u (+ (* -1 (/ (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) u)) (* 1/2 (pow normAngle 2)))))
(+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(* -1/2 u)
(* u (- (+ (* 1/3 (/ 1 u)) (/ (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))) u)) 1/2))
(* u (- (+ (* 1/3 (/ 1 u)) (/ (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))) u)) 1/2))
(* u (- (+ (* 1/3 (/ 1 u)) (/ (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))) u)) 1/2))
(* -1/2 u)
(* -1 (* u (+ 1/2 (* -1 (/ (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))) u)))))
(* -1 (* u (+ 1/2 (* -1 (/ (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))) u)))))
(* -1 (* u (+ 1/2 (* -1 (/ (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))) u)))))
(+ 1/3 (* -1/2 u))
(+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(* 2/945 (pow normAngle 4))
(* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(* 2/945 (pow normAngle 4))
(* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
1/3
(+ 1/3 (* -1/2 u))
(+ 1/3 (* -1/2 u))
(+ 1/3 (* -1/2 u))
(* -1/2 u)
(* u (- (* 1/3 (/ 1 u)) 1/2))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(* -1/2 u)
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
(* 31/15120 n1_i)
1/45
(+ 1/45 (* 2/945 (pow normAngle 2)))
(+ 1/45 (* 2/945 (pow normAngle 2)))
(+ 1/45 (* 2/945 (pow normAngle 2)))
(* 2/945 (pow normAngle 2))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* 2/945 (pow normAngle 2))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
1/3
(+ 1/3 (* 1/45 (pow normAngle 2)))
(+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))
(+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))
(* 2/945 (pow normAngle 4))
(* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
(* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
(* 2/945 (pow normAngle 4))
(* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
(* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))

Outputs
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(.f32 #s(literal 31/15120 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(.f32 (.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 31/15120 binary32))) normAngle) normAngle)
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(.f32 (.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 31/15120 binary32))) normAngle) normAngle)
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(.f32 (.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 31/15120 binary32))) normAngle) normAngle)
(* 31/15120 (* n1_i (pow normAngle 2)))
(.f32 #s(literal 31/15120 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(.f32 (.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 31/15120 binary32))) normAngle) normAngle)
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(.f32 (.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 31/15120 binary32))) normAngle) normAngle)
(* (pow normAngle 2) (+ (* 31/15120 n1_i) (* 7/360 (/ n1_i (pow normAngle 2)))))
(.f32 (.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 31/15120 binary32))) normAngle) normAngle)
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(* n1_i (+ 7/360 (* 31/15120 (pow normAngle 2))))
(.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -31/15120 (pow normAngle 2)) 7/360)))
(.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32)) (neg.f32 n1_i))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n0_i #s(literal -1/2 binary32)) n1_i)) n0_i) n0_i)
(+ n0_i (* u (- (+ n1_i (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))) n0_i)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n0_i #s(literal -1/2 binary32)) n1_i)) n0_i) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(.f32 u (.f32 n0_i (.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))
(.f32 (.f32 u u) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) u) (-.f32 (/.f32 n1_i u) (/.f32 n0_i u)))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u)))) (/ n0_i u)))
(.f32 (.f32 u u) (+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (/.f32 n0_i (.f32 u u))) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (/.f32 (.f32 normAngle normAngle) u) (-.f32 (/.f32 n1_i u) (/.f32 n0_i u)))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u)))) (/ n0_i u)))
(.f32 (.f32 u u) (+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (/.f32 n0_i (.f32 u u))) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (/.f32 (.f32 normAngle normAngle) u) (-.f32 (/.f32 n1_i u) (/.f32 n0_i u)))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(.f32 u (.f32 n0_i (.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))))
(* (pow u 2) (- (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n1_i u) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) u))) (/ n0_i u)))
(.f32 (.f32 u u) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (/.f32 (*.f32 normAngle normAngle) u) (-.f32 (/.f32 n1_i u) (/.f32 n0_i u)))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u u) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (-.f32 (neg.f32 (/.f32 n0_i u)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (neg.f32 u))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u u) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (-.f32 (neg.f32 (/.f32 n0_i u)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (neg.f32 u))))
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 u (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 n0_i #s(literal 1/45 binary32))) (.f32 #s(literal 31/15120 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) u)))) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* 31/15120 (* n1_i (* (pow normAngle 6) u)))
(.f32 n1_i (.f32 #s(literal 31/15120 binary32) (*.f32 u (pow.f32 normAngle #s(literal 6 binary32)))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (.f32 #s(literal 31/15120 binary32) u) (/.f32 (.f32 u (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 normAngle normAngle))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (.f32 #s(literal 31/15120 binary32) u) (.f32 u (+.f32 (/.f32 (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 n0_i #s(literal 1/45 binary32))) (.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (.f32 #s(literal 31/15120 binary32) u) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 n0_i #s(literal 1/45 binary32))) (.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (pow.f32 normAngle #s(literal 6 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))))
(* 31/15120 (* n1_i (* (pow normAngle 6) u)))
(.f32 n1_i (.f32 #s(literal 31/15120 binary32) (*.f32 u (pow.f32 normAngle #s(literal 6 binary32)))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (.f32 #s(literal 31/15120 binary32) u) (/.f32 (.f32 u (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 normAngle normAngle))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (.f32 #s(literal 31/15120 binary32) u) (.f32 u (+.f32 (/.f32 (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 n0_i #s(literal 1/45 binary32))) (.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (pow.f32 normAngle #s(literal 4 binary32)))))))
(* (pow normAngle 6) (+ (* 31/15120 (* n1_i u)) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i (.f32 #s(literal 31/15120 binary32) u) (fma.f32 u (+.f32 (/.f32 (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 n0_i #s(literal 1/45 binary32))) (.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (pow.f32 normAngle #s(literal 6 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1))))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* -1 (* n0_i (- (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2)))))) 1)))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))) 1)))
(.f32 (fma.f32 u (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i)) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))) 1)))
(.f32 (fma.f32 u (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i)) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))) 1)))
(.f32 (fma.f32 u (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i)) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) #s(literal 1 binary32)) #s(literal -1 binary32))) (neg.f32 n0_i))
(+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) n0_i)
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))))
(fma.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) n0_i))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))))
(fma.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) n0_i))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))))
(fma.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) n0_i))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) (/.f32 u n1_i) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) (/.f32 u n1_i) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) (/.f32 u n1_i) (/.f32 n0_i n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))
(.f32 (neg.f32 (.f32 n1_i u)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -31/15120 binary32) #s(literal -7/360 binary32))) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 7/360 n1_i) (* 1/45 n0_i))))))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 (.f32 (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 n0_i #s(literal 1/45 binary32))) normAngle) normAngle))) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (+ (* 7/360 n1_i) (* 1/45 n0_i)))))))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32))) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) (-.f32 n1_i n0_i))
(* 31/15120 (* n1_i (pow normAngle 6)))
(.f32 n1_i (.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal 31/15120 binary32)))
(* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 31/15120 binary32)))))
(* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle))))))))
(* (pow normAngle 6) (- (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (/ n0_i (pow normAngle 6))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32)))))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))
(* 31/15120 (* n1_i (pow normAngle 6)))
(.f32 n1_i (.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal 31/15120 binary32)))
(* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (* 1/45 (/ n0_i (pow normAngle 2))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 31/15120 binary32)))))
(* (pow normAngle 6) (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle))))))))
(* (pow normAngle 6) (- (+ (* 31/15120 n1_i) (+ (* 7/360 (/ n1_i (pow normAngle 2))) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/6 (/ n1_i (pow normAngle 4))) (+ (/ n1_i (pow normAngle 6)) (/ (* n0_i (+ 1/3 (* -1/2 u))) (pow normAngle 4))))))) (/ n0_i (pow normAngle 6))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (-.f32 (fma.f32 #s(literal 7/360 binary32) (/.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 n1_i #s(literal 31/15120 binary32) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle)) (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32)))))))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))
(+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n1_i))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n1_i))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n1_i))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))) n0_i))) 1))
(fma.f32 n0_i (fma.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) (/.f32 (.f32 normAngle normAngle) n0_i) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))) n0_i))) 1))
(fma.f32 n0_i (fma.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) (/.f32 (.f32 normAngle normAngle) n0_i) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i))))) n0_i))) 1))
(fma.f32 n0_i (fma.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) (/.f32 (.f32 normAngle normAngle) n0_i) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2)))))))
(neg.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) n0_i) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))))
(neg.f32 (fma.f32 n0_i (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32)))) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i))) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))))
(neg.f32 (fma.f32 n0_i (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32)))) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i))) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* 31/15120 (* n1_i (pow normAngle 2))) (* 7/360 n1_i)))))) n0_i)) (* (pow normAngle 2) (+ (* -1 (+ 1/3 (* -1/2 u))) (* -1/45 (pow normAngle 2))))))))
(neg.f32 (fma.f32 n0_i (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32)))) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) (neg.f32 n0_i))) n0_i))
(- (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u))))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i))
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (* (pow normAngle 2) (+ (* 1/45 (* n0_i (pow normAngle 2))) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n0_i (.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32)))) (neg.f32 n0_i)))
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(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))
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(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
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(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))))
(.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
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(* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
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(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1))))
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(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))
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(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))
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(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)) (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i))))
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(* -1 (* n0_i (- (* u (+ 1 (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))))) 1)))
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(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))) n0_i)) (* u (+ 1 (* -1 (* (pow normAngle 2) (+ 1/3 (* -1/2 u))))))) 1)))
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(+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i))))
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(+ n0_i (+ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i))))
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(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
(* n1_i (+ (* u (+ 1 (* 1/6 (pow normAngle 2)))) (+ (/ n0_i n1_i) (/ (* u (- (* n0_i (* (pow normAngle 2) (+ 1/3 (* -1/2 u)))) n0_i)) n1_i))))
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(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))) n0_i)
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(* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))
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(* (pow normAngle 2) (- (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (* -1/2 u))) (/ n1_i (pow normAngle 2)))) (/ n0_i (pow normAngle 2))))
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(* (pow normAngle 2) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* -1/2 u)))))
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(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i)
(+ n1_i (+ (* 1/6 (* n1_i (pow normAngle 2))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1))))
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(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1))
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(* n0_i (- (+ (* 1/6 (/ (* n1_i (pow normAngle 2)) n0_i)) (+ (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) (/ n1_i n0_i))) 1))
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(* 2/945 (* n0_i (* (pow normAngle 6) u)))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (.f32 (*.f32 n0_i u) #s(literal 2/945 binary32)))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (* 1/45 (/ (* n0_i u) (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i (.f32 (/.f32 u (.f32 normAngle normAngle)) #s(literal 1/45 binary32)) (.f32 (*.f32 n0_i u) #s(literal 2/945 binary32))))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 (.f32 n0_i u) (/.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 n0_i (.f32 (/.f32 u (.f32 normAngle normAngle)) #s(literal 1/45 binary32)) (.f32 (.f32 n0_i u) #s(literal 2/945 binary32)))))
(* (pow normAngle 6) (+ (* -1 (/ (* n0_i u) (pow normAngle 6))) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 u (pow.f32 normAngle #s(literal 6 binary32))) (fma.f32 n0_i (.f32 u #s(literal 2/945 binary32)) (fma.f32 n0_i (.f32 (/.f32 u (.f32 normAngle normAngle)) #s(literal 1/45 binary32)) (fma.f32 (*.f32 u (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32))))))))
(* 2/945 (* n0_i (* (pow normAngle 6) u)))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (.f32 (*.f32 n0_i u) #s(literal 2/945 binary32)))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (* 1/45 (/ (* n0_i u) (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i (.f32 (/.f32 u (.f32 normAngle normAngle)) #s(literal 1/45 binary32)) (.f32 (*.f32 n0_i u) #s(literal 2/945 binary32))))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 (.f32 n0_i u) (/.f32 (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 n0_i (.f32 (/.f32 u (.f32 normAngle normAngle)) #s(literal 1/45 binary32)) (.f32 (.f32 n0_i u) #s(literal 2/945 binary32)))))
(* (pow normAngle 6) (+ (* -1 (/ (* n0_i u) (pow normAngle 6))) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (/ n0_i (pow normAngle 6)) (/ (* n0_i (* u (+ 1/3 (* -1/2 u)))) (pow normAngle 4)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 (neg.f32 n0_i) (/.f32 u (pow.f32 normAngle #s(literal 6 binary32))) (fma.f32 n0_i (.f32 u #s(literal 2/945 binary32)) (fma.f32 n0_i (.f32 (/.f32 u (.f32 normAngle normAngle)) #s(literal 1/45 binary32)) (fma.f32 (*.f32 u (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32))))))))
n0_i
(+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))))
(fma.f32 (.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) n0_i)
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))))
(fma.f32 u (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i (.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))) n0_i)
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))))
(fma.f32 u (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i (.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32))))) n0_i)
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(.f32 u (.f32 n0_i (.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u)))
(.f32 (.f32 u u) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u))))
(.f32 (.f32 u u) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (/.f32 n0_i (.f32 u u)))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u))))
(.f32 (.f32 u u) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (/.f32 n0_i (.f32 u u)))))
(* -1/2 (* n0_i (* (pow normAngle 2) (pow u 2))))
(.f32 u (.f32 n0_i (.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))))
(* (pow u 2) (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) u)))
(.f32 (.f32 u u) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u u) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32))) (/.f32 (neg.f32 (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u))) u)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u u) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32))) (/.f32 (neg.f32 (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 n0_i u))) u)))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(fma.f32 (.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n0_i)
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(fma.f32 (.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n0_i)
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(fma.f32 (.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n0_i)
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(fma.f32 (.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n0_i)
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(fma.f32 (.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n0_i)
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(fma.f32 (.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n0_i)
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(fma.f32 (.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n0_i)
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))))
(fma.f32 (.f32 n0_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) n0_i)
(* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))
(.f32 (fma.f32 (neg.f32 u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))
(.f32 (fma.f32 (neg.f32 u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))
(.f32 (fma.f32 (neg.f32 u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1))) 1)))
(.f32 (fma.f32 (neg.f32 u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
-1
#s(literal -1 binary32)
(- (* (pow normAngle 2) (+ 1/3 (* -1/2 u))) 1)
(fma.f32 normAngle (*.f32 normAngle (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(* 2/945 (pow normAngle 6))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal 2/945 binary32))
(* (pow normAngle 6) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle))))
(* (pow normAngle 6) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (/.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 2/945 binary32))))
(* (pow normAngle 6) (- (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))) (/ 1 (pow normAngle 6))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (+.f32 (fma.f32 u (/.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 2/945 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 normAngle #s(literal 6 binary32))))))
(* 2/945 (pow normAngle 6))
(*.f32 (pow.f32 normAngle #s(literal 6 binary32)) #s(literal 2/945 binary32))
(* (pow normAngle 6) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle))))
(* (pow normAngle 6) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (/.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 2/945 binary32))))
(* (pow normAngle 6) (- (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))) (/ 1 (pow normAngle 6))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (+.f32 (fma.f32 u (/.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 2/945 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) (/.f32 #s(literal -1 binary32) (pow.f32 normAngle #s(literal 6 binary32))))))
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))
(- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(- (+ (* -1/2 (* (pow normAngle 2) u)) (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32))
(* -1/2 (* (pow normAngle 2) u))
(.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))
(* u (- (+ (* -1/2 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) u)) (/ 1 u)))
(.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) u)))
(* u (- (+ (* -1/2 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) u)) (/ 1 u)))
(.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) u)))
(* u (- (+ (* -1/2 (pow normAngle 2)) (/ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) u)) (/ 1 u)))
(.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) u)))
(* -1/2 (* (pow normAngle 2) u))
(.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal -1/2 binary32)))
(* -1 (* u (+ (* -1 (/ (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) u)) (* 1/2 (pow normAngle 2)))))
(.f32 (neg.f32 u) (fma.f32 normAngle (.f32 normAngle #s(literal 1/2 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u))))
(* -1 (* u (+ (* -1 (/ (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) u)) (* 1/2 (pow normAngle 2)))))
(.f32 (neg.f32 u) (fma.f32 normAngle (.f32 normAngle #s(literal 1/2 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u))))
(* -1 (* u (+ (* -1 (/ (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1) u)) (* 1/2 (pow normAngle 2)))))
(.f32 (neg.f32 u) (fma.f32 normAngle (.f32 normAngle #s(literal 1/2 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (neg.f32 u))))
(+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))
(* -1/2 u)
(*.f32 u #s(literal -1/2 binary32))
(* u (- (+ (* 1/3 (/ 1 u)) (/ (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))) u)) 1/2))
(.f32 u (+.f32 (/.f32 #s(literal 1/3 binary32) u) (fma.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) u) #s(literal -1/2 binary32))))
(* u (- (+ (* 1/3 (/ 1 u)) (/ (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))) u)) 1/2))
(.f32 u (+.f32 (/.f32 #s(literal 1/3 binary32) u) (fma.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) u) #s(literal -1/2 binary32))))
(* u (- (+ (* 1/3 (/ 1 u)) (/ (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))) u)) 1/2))
(.f32 u (+.f32 (/.f32 #s(literal 1/3 binary32) u) (fma.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) u) #s(literal -1/2 binary32))))
(* -1/2 u)
(*.f32 u #s(literal -1/2 binary32))
(* -1 (* u (+ 1/2 (* -1 (/ (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))) u)))))
(neg.f32 (.f32 u (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) u))))
(* -1 (* u (+ 1/2 (* -1 (/ (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))) u)))))
(neg.f32 (.f32 u (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) u))))
(* -1 (* u (+ 1/2 (* -1 (/ (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))) u)))))
(neg.f32 (.f32 u (-.f32 #s(literal 1/2 binary32) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) u))))
(+ 1/3 (* -1/2 u))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
(+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))
(+ 1/3 (+ (* -1/2 u) (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2))))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))
(* 2/945 (pow normAngle 4))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal 2/945 binary32))
(* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (/.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 2/945 binary32))))
(* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (/.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 2/945 binary32))))
(* 2/945 (pow normAngle 4))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal 2/945 binary32))
(* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (/.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 2/945 binary32))))
(* (pow normAngle 4) (+ 2/945 (+ (* -1/2 (/ u (pow normAngle 4))) (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32)))) (fma.f32 u (/.f32 #s(literal -1/2 binary32) (pow.f32 normAngle #s(literal 4 binary32))) #s(literal 2/945 binary32))))
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* -1/2 u))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* -1/2 u))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
(+ 1/3 (* -1/2 u))
(fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))
(* -1/2 u)
(*.f32 u #s(literal -1/2 binary32))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(*.f32 u (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(*.f32 u (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* u (- (* 1/3 (/ 1 u)) 1/2))
(*.f32 u (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)))
(* -1/2 u)
(*.f32 u #s(literal -1/2 binary32))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(neg.f32 (*.f32 u (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u))))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(neg.f32 (*.f32 u (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u))))
(* -1 (* u (- 1/2 (* 1/3 (/ 1 u)))))
(neg.f32 (*.f32 u (-.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1/3 binary32) u))))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
1/45
#s(literal 1/45 binary32)
(+ 1/45 (* 2/945 (pow normAngle 2)))
(fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))
(+ 1/45 (* 2/945 (pow normAngle 2)))
(fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))
(+ 1/45 (* 2/945 (pow normAngle 2)))
(fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))
(* 2/945 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle))))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle))))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle))))
(* 2/945 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle))))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle))))
(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle))))
1/3
#s(literal 1/3 binary32)
(+ 1/3 (* 1/45 (pow normAngle 2)))
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/45 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))
(+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))
(* 2/945 (pow normAngle 4))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal 2/945 binary32))
(* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32))))))
(* 2/945 (pow normAngle 4))
(*.f32 (pow.f32 normAngle #s(literal 4 binary32)) #s(literal 2/945 binary32))
(* (pow normAngle 4) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle))))
(* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32))))))
(* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (+.f32 (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (+.f32 #s(literal 2/945 binary32) (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32))))))

eval222.0ms (1.5%)

Memory: 33.4MiB live, 489.0MiB allocated
Compiler: Compiled 81 498 to 3 968 computations (95.1% saved)

prune196.0ms (1.3%)

Memory

-24.8MiB live, 576.6MiB allocated

Pruning

25 alts after pruning (20 fresh and 5 done)

	Pruned	Kept	Total
New	1 489	10	1 499
Fresh	5	10	15
Picked	3	2	5
Done	0	3	3
Total	1 497	25	1 522

Accuracy

100.0%

Counts

1 522 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.5%	(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
	58.5%	(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
	99.3%	(fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u) n0_i))
	83.3%	(fma.f32 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) (.f32 n1_i (.f32 normAngle normAngle)) n1_i) n0_i)
	99.6%	(fma.f32 u (fma.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
	99.4%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
	99.2%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) n0_i)
	83.1%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
	98.8%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
	98.6%	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
✓	98.4%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	98.6%	(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)
✓	82.6%	(fma.f32 n1_i u n0_i)
✓	98.3%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	58.3%	(fma.f32 n0_i (neg.f32 u) n0_i)
	99.1%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (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))
	82.5%	(+.f32 (*.f32 n1_i u) n0_i)
	83.3%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (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 u #s(literal 1/120 binary32)))) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n1_i))
	82.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
	36.7%	(.f32 (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) u)) (/.f32 n1_i (sin.f32 normAngle)))
	36.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
	37.3%	(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
	37.2%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
✓	97.6%	(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
✓	37.0%	(*.f32 n1_i u)

Compiler

Compiled 1 556 to 541 computations (65.2% saved)

regimes156.0ms (1.1%)

Memory

-15.1MiB live, 193.3MiB allocated

Counts

52 → 1

Calls

Call 1

Inputs
(*.f32 n1_i u)
(fma.f32 n1_i u n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_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 n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(fma.f32 u n1_i (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) n0_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (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 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) (.f32 n1_i (.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u) n0_i))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_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)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 2/945 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 (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i)) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) u) u) n0_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)))
(.f32 (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 u u))) u)) (/.f32 n1_i (sin.f32 normAngle)))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (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 u #s(literal 1/120 binary32)))) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) u) n1_i))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (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))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (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 (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) (.f32 n0_i u) (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) (*.f32 u normAngle) n0_i))
(.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)))
(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 (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)
(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)))
(.f32 n1_i (fma.f32 n0_i (/.f32 (.f32 u (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/2 binary32) u)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))) n1_i) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(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))))
(+.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

(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (*.f32 n1_i #s(literal 31/15120 binary32)) (*.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)

Calls

5 calls:

66.0ms	(+.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))
41.0ms	n1_i
17.0ms	u
15.0ms	normAngle
14.0ms	n0_i

Results

Accuracy	Segments	Branch
99.7%	1	`normAngle`
99.7%	1	`u`
99.7%	1	`n0_i`
99.7%	1	`n1_i`
99.7%	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

30.8MiB live, 150.0MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
(*.f32 n1_i u)
(fma.f32 n1_i u n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_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 n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(fma.f32 u n1_i (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) n0_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (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 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) (.f32 n1_i (.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u) n0_i))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_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)))

Outputs

(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)

Calls

5 calls:

11.0ms	u
10.0ms	n0_i
10.0ms	n1_i
9.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
9.0ms	normAngle

Results

Accuracy	Segments	Branch
99.6%	1	`normAngle`
99.6%	1	`u`
99.6%	1	`n0_i`
99.6%	1	`n1_i`
99.6%	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)

regimes45.0ms (0.3%)

Memory

-17.1MiB live, 141.1MiB allocated

Counts

28 → 1

Calls

Call 1

Inputs
(*.f32 n1_i u)
(fma.f32 n1_i u n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_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 n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(fma.f32 u n1_i (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))) n0_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (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 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) (.f32 n1_i (.f32 normAngle normAngle)) n1_i) n0_i)
(fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u) n0_i))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (.f32 normAngle u) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))

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

Calls

5 calls:

10.0ms	(+.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))
10.0ms	normAngle
9.0ms	n1_i
8.0ms	n0_i
8.0ms	u

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)

regimes62.0ms (0.4%)

Memory

-12.9MiB live, 105.1MiB allocated

Counts

21 → 1

Calls

Call 1

Inputs
(*.f32 n1_i u)
(fma.f32 n1_i u n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_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 n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(fma.f32 u n1_i (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (*.f32 n0_i u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (fma.f32 u (.f32 u u) (neg.f32 u))) (fma.f32 n1_i u n0_i))

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

Calls

5 calls:

35.0ms	normAngle
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	n0_i
6.0ms	n1_i
6.0ms	u

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)

regimes50.0ms (0.3%)

Memory

30.2MiB live, 71.3MiB allocated

Counts

18 → 1

Calls

Call 1

Inputs
(*.f32 n1_i u)
(fma.f32 n1_i u n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_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 n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(fma.f32 u n1_i (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) n0_i) (+.f32 u #s(literal 1 binary32))))

Outputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) n0_i)

Calls

5 calls:

26.0ms	n0_i
6.0ms	(+.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))
6.0ms	normAngle
6.0ms	n1_i
5.0ms	u

Results

Accuracy	Segments	Branch
99.2%	1	`normAngle`
99.2%	1	`u`
99.2%	1	`n0_i`
99.2%	1	`n1_i`
99.2%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes23.0ms (0.2%)

Memory

-11.0MiB live, 67.1MiB allocated

Counts

12 → 1

Calls

Call 1

Inputs
(*.f32 n1_i u)
(fma.f32 n1_i u n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_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 n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)

Outputs
(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)

Calls

5 calls:

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

regimes30.0ms (0.2%)

Memory

-39.8MiB live, 62.0MiB allocated

Counts

11 → 1

Calls

Call 1

Inputs
(*.f32 n1_i u)
(fma.f32 n1_i u n0_i)
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_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 n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
(fma.f32 u (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))

Outputs
(fma.f32 u (-.f32 n1_i n0_i) n0_i)

Calls

5 calls:

13.0ms	n1_i
5.0ms	n0_i
4.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
4.0ms	u
4.0ms	normAngle

Results

Accuracy	Segments	Branch
98.6%	1	`n1_i`
98.6%	1	`normAngle`
98.6%	1	`u`
98.6%	1	`n0_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)

regimes11.0ms (0.1%)

Memory

24.1MiB live, 24.2MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f32 n1_i u n0_i)

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
82.6%	1	`normAngle`
82.6%	1	`u`
82.6%	1	`n0_i`
82.6%	1	`n1_i`
82.6%	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)

regimes8.0ms (0.1%)

Memory

-17.1MiB live, 22.2MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f32 n1_i u)

Outputs
(*.f32 n1_i u)

Calls

5 calls:

2.0ms	n0_i
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))
1.0ms	normAngle
1.0ms	u
1.0ms	n1_i

Results

Accuracy	Segments	Branch
37.0%	1	`u`
37.0%	1	`n1_i`
37.0%	1	`n0_i`
37.0%	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))`
37.0%	1	`normAngle`

Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify7.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Rules

18×	`*-commutative_binary32`
8×	`sub-neg_binary32`
8×	`+-commutative_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	141
1	56	141
2	64	141
3	69	141
4	71	141

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(fma.f32 n1_i u n0_i)
(*.f32 n1_i u)

Outputs
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 normAngle (.f32 u normAngle)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))) n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 n1_i (fma.f32 u (/.f32 n0_i (neg.f32 n1_i)) u) n0_i)
(fma.f32 n1_i (fma.f32 u (neg.f32 (/.f32 n0_i n1_i)) u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(fma.f32 n1_i u n0_i)
(*.f32 n1_i u)
(*.f32 u n1_i)

soundness984.0ms (6.7%)

Memory

7.7MiB live, 1 074.8MiB allocated

Rules

15 210×	`lower-fma.f64`
15 210×	`lower-fma.f32`
14 574×	`lower-fma.f64`
14 574×	`lower-fma.f32`
12 812×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	643	10290
1	2115	9984
2	7526	9984
0	8278	8903
0	556	7686
1	1845	7522
2	6784	7511
0	8305	6804
0	321	2830
1	987	2714
2	3385	2654
0	8124	2540
0	794	9497
1	2632	9051
0	8511	8628

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

Compiler

Compiled 376 to 196 computations (47.9% saved)

preprocess102.0ms (0.7%)

Memory: 8.4MiB live, 246.2MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 668 to 294 computations (56% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze440.0ms (3%)

sample4.1s (27.9%)

preprocess130.0ms (0.9%)

explain259.0ms (1.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify77.0ms (0.5%)

localize56.0ms (0.4%)

series36.0ms (0.2%)

rewrite370.0ms (2.5%)

simplify405.0ms (2.8%)

eval40.0ms (0.3%)

prune92.0ms (0.6%)

simplify559.0ms (3.8%)

localize265.0ms (1.8%)

series85.0ms (0.6%)

rewrite586.0ms (4%)

simplify595.0ms (4.1%)

eval327.0ms (2.2%)

prune219.0ms (1.5%)

simplify412.0ms (2.8%)

localize189.0ms (1.3%)

series68.0ms (0.5%)

rewrite421.0ms (2.9%)

simplify431.0ms (2.9%)

eval162.0ms (1.1%)

prune119.0ms (0.8%)

simplify594.0ms (4.1%)

localize296.0ms (2%)

series57.0ms (0.4%)

rewrite749.0ms (5.1%)

simplify591.0ms (4%)

eval222.0ms (1.5%)

prune196.0ms (1.3%)

regimes156.0ms (1.1%)

regimes50.0ms (0.3%)

regimes45.0ms (0.3%)

regimes62.0ms (0.4%)

regimes50.0ms (0.3%)

regimes23.0ms (0.2%)

regimes30.0ms (0.2%)

regimes11.0ms (0.1%)

regimes8.0ms (0.1%)

simplify7.0ms (0.1%)

soundness984.0ms (6.7%)

preprocess102.0ms (0.7%)

end0.0ms (0%)

Profiling