Metrics for Curve intersection, scale width based on ribbon orientation

analyze375.0ms (2.4%)

Memory

15.4MiB live, 549.4MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0.8%	99.2%	0%	0%	0%	0
0%	0%	0.8%	99.2%	0%	0%	0%	1
0%	0%	0.8%	99.2%	0%	0%	0%	2
0%	0%	0.8%	99.2%	0%	0%	0%	3
0%	0%	0.8%	99.2%	0%	0%	0%	4
0%	0%	0.8%	99.2%	0%	0%	0%	5
16.7%	0.1%	0.5%	99.2%	0%	0.2%	0%	6
25%	0.1%	0.4%	99.2%	0%	0.2%	0%	7
25%	0.1%	0.4%	99.2%	0%	0.2%	0%	8
25%	0.1%	0.4%	99.2%	0%	0.2%	0%	9
45%	0.2%	0.3%	99.2%	0%	0.3%	0%	10
52.5%	0.3%	0.2%	99.2%	0%	0.3%	0%	11
52.5%	0.3%	0.2%	99.2%	0%	0.3%	0%	12

Compiler

Compiled 59 to 39 computations (33.9% saved)

sample3.2s (20.4%)

Memory

64.8MiB live, 4 546.8MiB allocated

Samples

1.6s	8 256×	0	valid
755.0ms	1 947×	0	invalid

Precisions

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

ival-sin: 503.0ms (26.5% of total)

ival-mult: 470.0ms (24.7% of total)

ival-<=: 221.0ms (11.6% of total)

const: 219.0ms (11.5% of total)

ival-div: 195.0ms (10.3% of total)

ival-sub: 103.0ms (5.4% of total)

ival-pi: 62.0ms (3.3% of total)

ival-and: 51.0ms (2.7% of total)

ival-add: 47.0ms (2.5% of total)

exact: 22.0ms (1.2% of total)

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

Bogosity

preprocess130.0ms (0.8%)

Memory

23.5MiB live, 138.9MiB 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)

explain369.0ms (2.4%)

Memory

-50.1MiB live, 424.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	23	(5.386560804610013e-37 1.3426498135515885e-8 1.6613033908140918e-33 1.1103834501532917e-27)	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)`
0	-	0	-	`(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))`
0	-	0	-	`(*.f32 u normAngle)`
0	-	0	-	`n1_i`
0	-	0	-	`(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)`
0	-	0	-	`n0_i`
0	-	0	-	`normAngle`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u)`
0	-	0	-	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(sin.f32 (*.f32 u normAngle))`
0	-	0	-	`u`
0	-	0	-	`(sin.f32 normAngle)`
0	-	0	-	`(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))`

Confusion

	Predicted +	Predicted -
+	0	9
-	0	247

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	9
-	0	0	247

Precision?

0/0

Recall?

0.0

Freqs

test

number	freq
0	256

Total Confusion?

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

Precision?

0/0

Recall?

0.0

Samples

180.0ms	486×	0	valid
32.0ms	26×	5	exit

Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 103.0ms

ival-mult: 46.0ms (44.5% of total)

ival-sin: 27.0ms (26.1% of total)

adjust: 19.0ms (18.4% of total)

ival-div: 4.0ms (3.9% of total)

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

ival-add: 3.0ms (2.9% 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: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Status

Accuracy

Program

▶

97.5%

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

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify75.0ms (0.5%)

Memory

4.5MiB live, 79.2MiB 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

localize61.0ms (0.4%)

Memory

23.7MiB live, 104.0MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.4%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	98.8%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	94.7%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

33.0ms	243×	0	valid
8.0ms	13×	5	exit

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 30.0ms

ival-mult: 15.0ms (50.3% of total)

ival-sin: 8.0ms (26.8% of total)

ival-div: 2.0ms (6.7% of total)

ival-sub: 2.0ms (6.7% of total)

adjust: 1.0ms (3.4% of total)

ival-add: 1.0ms (3.4% of total)

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

exact: 0.0ms (0% of total)

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

series34.0ms (0.2%)

Memory

-14.0MiB live, 60.3MiB 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	@	inf	(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
3.0ms	u	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
3.0ms	normAngle	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	normAngle	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	u	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite470.0ms (3%)

Memory

17.4MiB live, 652.0MiB 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)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
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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)))

simplify489.0ms (3.1%)

Memory

10.4MiB live, 683.7MiB 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)

eval42.0ms (0.3%)

Memory: -18.0MiB live, 92.1MiB allocated
Compiler: Compiled 14 967 to 1 041 computations (93% saved)

prune54.0ms (0.3%)

Memory

19.8MiB live, 141.8MiB allocated

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	379	13	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	380	13	393

Accuracy

100.0%

Counts

393 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.8%	(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))))
	98.2%	(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)))
▶	99.5%	(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)
▶	97.2%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
▶	98.1%	(+.f32 (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)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.7%	(+.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))
	97.8%	(+.f32 (.f32 (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)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.4%	(+.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) (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) n1_i))
▶	97.8%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (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))
	80.6%	(+.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))
	77.6%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
	38.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
▶	59.0%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))

Compiler

Compiled 852 to 476 computations (44.1% saved)

simplify335.0ms (2.1%)

Memory

14.8MiB live, 640.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	128	(fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	160	(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)))))
✓	cost-diff	160	(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)))))
✓	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	(fma.f32 u (neg.f32 normAngle) normAngle)
✓	cost-diff	0	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	cost-diff	0	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	cost-diff	0	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	cost-diff	0	(*.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 normAngle (cos.f32 normAngle))
✓	cost-diff	0	(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
✓	cost-diff	0	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	cost-diff	3712	(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))

Rules

12 062×	`lower-fma.f64`
12 036×	`lower-fma.f32`
4 322×	`lower-*.f64`
4 282×	`lower-*.f32`
3 198×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	633
0	125	629
1	265	614
2	821	580
3	3559	565
4	6384	565
0	8019	551

Stop Event

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

Calls

Call 1

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

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

localize376.0ms (2.4%)

Memory

14.5MiB live, 686.9MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	94.7%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	66.7%	(fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))
✓	accuracy	63.9%	(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))
✓	accuracy	58.4%	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.4%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	99.0%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	98.8%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(neg.f32 normAngle)
✓	accuracy	99.9%	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	accuracy	99.4%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	accuracy	99.2%	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	99.5%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓	accuracy	99.9%	(/.f32 n1_i (sin.f32 normAngle))
✓	accuracy	99.9%	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	accuracy	99.9%	(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
✓	accuracy	99.6%	(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))

Samples

172.0ms	239×	0	valid
52.0ms	11×	5	exit
6.0ms	3×	3	valid
2.0ms	2×	1	valid
2.0ms	1×	4	exit

Compiler

Compiled 682 to 76 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 176.0ms

ival-mult: 71.0ms (40.3% of total)

const: 39.0ms (22.2% of total)

ival-add: 19.0ms (10.8% of total)

ival-div: 13.0ms (7.4% of total)

ival-sin: 12.0ms (6.8% of total)

adjust: 7.0ms (4% of total)

ival-neg: 5.0ms (2.8% of total)

ival-sub: 4.0ms (2.3% of total)

ival-cos: 3.0ms (1.7% of total)

ival-pow: 3.0ms (1.7% of total)

exact: 1.0ms (0.6% of total)

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

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

series144.0ms (0.9%)

Memory

-13.8MiB live, 204.1MiB allocated

Counts

26 → 648

Calls

Call 1

Inputs
#<alt (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))>
#<alt (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)>
#<alt (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))>
#<alt (*.f32 normAngle (cos.f32 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 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))>
#<alt (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))>
#<alt (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))>
#<alt (fma.f32 u (neg.f32 normAngle) normAngle)>
#<alt (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))>
#<alt (.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)>
#<alt (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))>
#<alt (fma.f32 (.f32 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)))))>
#<alt (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)))))>
#<alt (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))>
#<alt (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))>
#<alt (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))>
#<alt (/.f32 n1_i (sin.f32 normAngle))>
#<alt (neg.f32 normAngle)>
#<alt (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))>
#<alt (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)>
#<alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))>
#<alt (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))>

Outputs
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))>
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt -1>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))>
#<alt 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 (* 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 (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt (/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))>
#<alt (+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))>
#<alt (sin normAngle)>
#<alt (+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))>
#<alt (+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))>
#<alt (* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (+ normAngle (* -1 (* normAngle u))))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))>
#<alt 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 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* normAngle (+ 1 (* -1 u)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<alt (* -1 (* normAngle (- u 1)))>
#<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)))))))>
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#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
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#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
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#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (sin (* normAngle (- 1 u)))>
#<alt (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))>
#<alt (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))))))>
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#<alt (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))>
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#<alt (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))>
#<alt (* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))>
#<alt (* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))>
#<alt (* u (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i)))))>
#<alt (* u (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i))))))>
#<alt (* u (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (+ (* u (+ (* 1/6 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i))))) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)))))) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i))))))>
#<alt (* u (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (+ (* u (+ (* 1/24 (* n0_i (* (pow normAngle 2) u))) (+ (* 1/6 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i)))))) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)))))) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i))))))>
#<alt (* -1/120 (* n0_i (* (pow normAngle 2) (pow u 5))))>
#<alt (* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 2))) (* 1/24 (/ (* n0_i (pow normAngle 2)) u))))>
#<alt (* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 2))) (+ (* 1/24 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ n0_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i))) (pow u 2))))))>
#<alt (* (pow u 5) (+ (* -1/2 (/ n0_i (pow u 3))) (+ (* -1/120 (* n0_i (pow normAngle 2))) (+ (* 1/24 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ n0_i (pow u 2))) (+ (/ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i))) (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i))) (pow u 3))))))))>
#<alt (* -1/120 (* n0_i (* (pow normAngle 2) (pow u 5))))>
#<alt (* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 2)) u)) (* 1/120 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 n0_i) (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/12 n0_i)))) u)) (* 1/24 (* n0_i (pow normAngle 2)))) u)) (* 1/120 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)))) u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/12 n0_i))))) u)) (* 1/24 (* n0_i (pow normAngle 2)))) u)) (* 1/120 (* n0_i (pow normAngle 2))))))>
#<alt (* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))>
#<alt (* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))>
#<alt (* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))>
#<alt (* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))>
#<alt (* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))>
#<alt (* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))>
#<alt (* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))>
#<alt (* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))>
#<alt (* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))>
#<alt (* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))>
#<alt (* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))>
#<alt (* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))>
#<alt (* u (+ (* -1/30 n0_i) (* 1/18 n0_i)))>
#<alt (* u (+ (* -1/30 n0_i) (+ (* 1/18 n0_i) (* u (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i))))))>
#<alt (* u (+ (* -1/30 n0_i) (+ (* 1/18 n0_i) (* u (+ (* -1/36 (+ n0_i (* 2 n0_i))) (+ (* 1/12 n0_i) (* u (+ (* -1/12 n0_i) (* 1/36 n0_i)))))))))>
#<alt (* u (+ (* -1/30 n0_i) (+ (* 1/18 n0_i) (* u (+ (* -1/36 (+ n0_i (* 2 n0_i))) (+ (* 1/12 n0_i) (* u (+ (* -1/12 n0_i) (+ (* 1/36 n0_i) (* 1/24 (* n0_i u)))))))))))>
#<alt (* -1/120 (* n0_i (pow u 5)))>
#<alt (* (pow u 5) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u))))>
#<alt (* (pow u 5) (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/120 n0_i) (+ (* 1/36 (/ n0_i (pow u 2))) (* 1/24 (/ n0_i u))))))>
#<alt (* (pow u 5) (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/36 (/ (+ n0_i (* 2 n0_i)) (pow u 3))) (+ (* -1/120 n0_i) (+ (* 1/36 (/ n0_i (pow u 2))) (+ (* 1/24 (/ n0_i u)) (* 1/12 (/ n0_i (pow u 3)))))))))>
#<alt (* -1/120 (* n0_i (pow u 5)))>
#<alt (* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 n0_i))))>
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 n0_i) (* 1/12 n0_i)) u)) (* 1/24 n0_i)) u)) (* 1/120 n0_i))))>
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)) u)) (+ (* -1/36 n0_i) (* 1/12 n0_i))) u)) (* 1/24 n0_i)) u)) (* 1/120 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 (* n0_i (- (pow (- 1 u) 2) 1))>
#<alt (* n0_i (- (pow (- 1 u) 2) 1))>
#<alt (* n0_i (- (pow (- 1 u) 2) 1))>
#<alt (* n0_i (- (pow (- 1 u) 2) 1))>
#<alt (* n0_i (- (pow (- 1 u) 2) 1))>
#<alt (* n0_i (- (pow (- 1 u) 2) 1))>
#<alt (* n0_i (- (pow (- 1 u) 2) 1))>
#<alt (* n0_i (- (pow (- 1 u) 2) 1))>
#<alt (* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))>
#<alt (* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))>
#<alt (* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))>
#<alt (* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))>
#<alt (* -2 (* n0_i u))>
#<alt (* u (+ (* -2 n0_i) (* n0_i u)))>
#<alt (* u (+ (* -2 n0_i) (* n0_i u)))>
#<alt (* u (+ (* -2 n0_i) (* n0_i u)))>
#<alt (* n0_i (pow u 2))>
#<alt (* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))>
#<alt (* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))>
#<alt (* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))>
#<alt (* n0_i (pow u 2))>
#<alt (* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))>
#<alt (* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))>
#<alt (* (pow u 2) (+ n0_i (* -2 (/ n0_i 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 (/ 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 (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* -1 normAngle)>
#<alt (* 1/6 u)>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* -1/6 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt normAngle>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (+ normAngle (* -1 (* normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* u (+ (* -1 normAngle) (/ normAngle u)))>
#<alt (* -1 (* normAngle u))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* normAngle (- 1 u))>
#<alt (* -2 u)>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* -4 u)>
#<alt (* u (- (* 10 u) 4))>
#<alt (* u (- (* u (+ 10 (* -10 u))) 4))>
#<alt (* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))>
#<alt (* -1 (pow u 5))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) 1))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* -1 (pow u 5))>
#<alt (* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))>

Calls

162 calls:

Time	Variable		Point	Expression
36.0ms	normAngle	@	inf	(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
20.0ms	normAngle	@	0	(+ (* n0_i (/ (* normAngle (cos normAngle)) (neg (sin normAngle)))) (* normAngle (/ n1_i (sin normAngle))))
14.0ms	u	@	-inf	(* u (+ (* (* u u) -1/6) 1/6))
5.0ms	u	@	inf	(* u (+ (* (* u u) -1/6) 1/6))
5.0ms	n0_i	@	0	(+ (* (* normAngle normAngle) (+ (* n0_i (* 1/120 (- (pow (- 1 u) 5) (- 1 u)))) (* -1/36 (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i)))))) (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))))

rewrite439.0ms (2.8%)

Memory

11.2MiB live, 715.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 744×	`lower-*.f64`
5 706×	`lower-*.f32`
5 054×	`lower-fma.f64`
5 032×	`lower-fma.f32`
2 744×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	292
0	113	276
1	438	276
2	3553	274
0	8459	268

Stop Event

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

Counts

26 → 658

Calls

Call 1

Inputs
(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 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 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 u (neg.f32 normAngle) normAngle)
(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
(fma.f32 (.f32 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 (.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 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(neg.f32 normAngle)
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))

Outputs
(+.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(+.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(pow.f32 (/.f32 (fma.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 normAngle n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) #s(literal -1 binary32))
(fma.f32 n0_i (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 normAngle (.f32 (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) n0_i) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (.f32 normAngle (cos.f32 normAngle)) (.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) n0_i) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) n0_i (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 n1_i (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(fma.f32 (/.f32 n0_i #s(literal -1 binary32)) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (.f32 n0_i normAngle) (/.f32 (cos.f32 normAngle) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))
(-.f32 (/.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (-.f32 (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle))) (/.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 normAngle n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (-.f32 (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 normAngle n1_i)) (sin.f32 normAngle)) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))))
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 normAngle n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))))
(/.f32 (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (/.f32 (-.f32 (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (*.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (neg.f32 (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (*.f32 (sin.f32 normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 normAngle n1_i))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 normAngle n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)) (.f32 (.f32 n0_i n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (neg.f32 (/.f32 (-.f32 (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (*.f32 normAngle n1_i)) (sin.f32 normAngle))))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32)))) (/.f32 (-.f32 (.f32 normAngle n1_i) (neg.f32 (.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) n0_i)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))))
(/.f32 (fma.f32 normAngle (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 #s(literal 1 binary32) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 normAngle (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (sin.f32 normAngle)))
(/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) n0_i)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (+.f32 (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 #s(literal 1 binary32) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (+.f32 (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (+.f32 (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (+.f32 (sin.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (sin.f32 normAngle) n0_i)) (.f32 (sin.f32 normAngle) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (sin.f32 normAngle) (.f32 (sin.f32 normAngle) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 #s(literal 1 binary32) n0_i))) (.f32 (sin.f32 normAngle) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (sin.f32 normAngle) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (sin.f32 normAngle) (.f32 (sin.f32 normAngle) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (sin.f32 normAngle) (.f32 (sin.f32 normAngle) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (sin.f32 normAngle) (.f32 (sin.f32 normAngle) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) n0_i)) (.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 #s(literal 1 binary32) n0_i))) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (neg.f32 (.f32 normAngle (cos.f32 normAngle)))))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (.f32 normAngle (cos.f32 normAngle))) n0_i))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) #s(literal -1 binary32)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) n0_i)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
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(.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
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(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(fma.f32 (cos.f32 normAngle) (sin.f32 (.f32 normAngle (neg.f32 u))) (.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u))))
(fma.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u)) (.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle (neg.f32 u)))))
(fma.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (cos.f32 normAngle) (.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u))))
(fma.f32 (cos.f32 (.f32 normAngle u)) (sin.f32 normAngle) (.f32 (cos.f32 normAngle) (sin.f32 (*.f32 normAngle (neg.f32 u)))))
(-.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u))) (.f32 (cos.f32 normAngle) (sin.f32 (.f32 normAngle u))))
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(+.f32 normAngle (*.f32 normAngle (neg.f32 u)))
(+.f32 (*.f32 normAngle (neg.f32 u)) normAngle)
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(fma.f32 normAngle (neg.f32 u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(fma.f32 (neg.f32 normAngle) u normAngle)
(fma.f32 #s(literal -1 binary32) (*.f32 normAngle u) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(fma.f32 (*.f32 u #s(literal -1 binary32)) normAngle normAngle)
(-.f32 normAngle (*.f32 normAngle u))
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(/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u u) (*.f32 (neg.f32 normAngle) normAngle)) (fma.f32 normAngle (neg.f32 u) (neg.f32 normAngle)))
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(/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u u))) (-.f32 normAngle (*.f32 normAngle (neg.f32 u))))
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(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
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(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
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(fma.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (.f32 u u))) (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u)))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal -1 binary32))
(fma.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (-.f32 #s(literal 1 binary32) (*.f32 u u))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))))
(/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))
(/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (neg.f32 (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(/.f32 (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(/.f32 (-.f32 #s(literal 1 binary32) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal -1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))
(.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))
(*.f32 (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(*.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))
(+.f32 u (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)))
(+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))
(+.f32 (neg.f32 (-.f32 #s(literal 1 binary32) u)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))
(+.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)) u)
(pow.f32 (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32))
(fma.f32 u #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)))
(fma.f32 #s(literal 1 binary32) u (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)))
(fma.f32 #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5/2 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5/2 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5/2 binary32)) #s(literal 1 binary32)) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5/2 binary32)) #s(literal 1 binary32)) u)
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 u (.f32 u u))) #s(literal 5 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u (+.f32 u #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 5 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) #s(literal 5 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(literal 5 binary32)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))
(-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))
(-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)) (neg.f32 u))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32)) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))) (/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))))
(-.f32 (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (+.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (/.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (-.f32 (.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)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (+.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 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)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (neg.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (+.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(/.f32 (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)) #s(literal 3 binary32)) (.f32 u (.f32 u u))) (+.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (-.f32 (.f32 u u) (.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)) u))))
(/.f32 (-.f32 (pow.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)) #s(literal 2 binary32)) (*.f32 u u)) (-.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1 binary32)) u))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))))
(.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (+.f32 (-.f32 #s(literal 1 binary32) u) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))

simplify486.0ms (3.1%)

Memory

-5.4MiB live, 713.8MiB allocated

Algorithm

1×	egg-herbie

Rules

9 214×	`lower-fma.f64`
9 214×	`lower-fma.f32`
6 702×	`lower-+.f64`
6 702×	`lower-+.f32`
5 588×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	984	10292
1	3391	9849
0	8056	9358

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 638

Calls

Call 1

Inputs
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
-1
(- (* 1/3 (pow normAngle 2)) 1)
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
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))
(* 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)
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(* n0_i (+ 1 (* -1 u)))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
1
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(+ 1 (* -1 u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
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 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* normAngle (+ 1 (* -1 u)))
(* -1 (* normAngle (- u 1)))
(* -1 (* normAngle (- u 1)))
(* -1 (* normAngle (- u 1)))
(* -1 (* normAngle (- u 1)))
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)))
(* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))
(+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))))))
(+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))))))
(+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1)))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1)))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(* u (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i)))))
(* u (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i))))))
(* u (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (+ (* u (+ (* 1/6 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i))))) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)))))) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i))))))
(* u (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (+ (* u (+ (* 1/24 (* n0_i (* (pow normAngle 2) u))) (+ (* 1/6 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i)))))) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)))))) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i))))))
(* -1/120 (* n0_i (* (pow normAngle 2) (pow u 5))))
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 2))) (* 1/24 (/ (* n0_i (pow normAngle 2)) u))))
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 2))) (+ (* 1/24 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ n0_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i))) (pow u 2))))))
(* (pow u 5) (+ (* -1/2 (/ n0_i (pow u 3))) (+ (* -1/120 (* n0_i (pow normAngle 2))) (+ (* 1/24 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ n0_i (pow u 2))) (+ (/ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i))) (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i))) (pow u 3))))))))
(* -1/120 (* n0_i (* (pow normAngle 2) (pow u 5))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 2)) u)) (* 1/120 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 n0_i) (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/12 n0_i)))) u)) (* 1/24 (* n0_i (pow normAngle 2)))) u)) (* 1/120 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)))) u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/12 n0_i))))) u)) (* 1/24 (* n0_i (pow normAngle 2)))) u)) (* 1/120 (* n0_i (pow normAngle 2))))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))
(* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))
(* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))
(* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))
(* u (+ (* -1/30 n0_i) (* 1/18 n0_i)))
(* u (+ (* -1/30 n0_i) (+ (* 1/18 n0_i) (* u (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i))))))
(* u (+ (* -1/30 n0_i) (+ (* 1/18 n0_i) (* u (+ (* -1/36 (+ n0_i (* 2 n0_i))) (+ (* 1/12 n0_i) (* u (+ (* -1/12 n0_i) (* 1/36 n0_i)))))))))
(* u (+ (* -1/30 n0_i) (+ (* 1/18 n0_i) (* u (+ (* -1/36 (+ n0_i (* 2 n0_i))) (+ (* 1/12 n0_i) (* u (+ (* -1/12 n0_i) (+ (* 1/36 n0_i) (* 1/24 (* n0_i u)))))))))))
(* -1/120 (* n0_i (pow u 5)))
(* (pow u 5) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u))))
(* (pow u 5) (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/120 n0_i) (+ (* 1/36 (/ n0_i (pow u 2))) (* 1/24 (/ n0_i u))))))
(* (pow u 5) (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/36 (/ (+ n0_i (* 2 n0_i)) (pow u 3))) (+ (* -1/120 n0_i) (+ (* 1/36 (/ n0_i (pow u 2))) (+ (* 1/24 (/ n0_i u)) (* 1/12 (/ n0_i (pow u 3)))))))))
(* -1/120 (* n0_i (pow u 5)))
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 n0_i))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 n0_i) (* 1/12 n0_i)) u)) (* 1/24 n0_i)) u)) (* 1/120 n0_i))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)) u)) (+ (* -1/36 n0_i) (* 1/12 n0_i))) u)) (* 1/24 n0_i)) u)) (* 1/120 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))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* n0_i (- (pow (- 1 u) 2) 1))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(* -2 (* n0_i u))
(* u (+ (* -2 n0_i) (* n0_i u)))
(* u (+ (* -2 n0_i) (* n0_i u)))
(* u (+ (* -2 n0_i) (* n0_i u)))
(* n0_i (pow u 2))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* n0_i (pow u 2))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i 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))
(/ 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))
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* -1 normAngle)
(* 1/6 u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* -1/6 (pow u 3))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 3))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
normAngle
(+ 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))
(* -2 u)
(* u (- u 2))
(* u (- u 2))
(* u (- u 2))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* -4 u)
(* u (- (* 10 u) 4))
(* u (- (* u (+ 10 (* -10 u))) 4))
(* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))
(* -1 (pow u 5))
(* (pow u 5) (- (* 5 (/ 1 u)) 1))
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))
(* -1 (pow u 5))
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))

Outputs
(/ (* n1_i normAngle) (sin normAngle))
(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (neg.f32 n0_i))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (+.f32 (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32))))) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 (.f32 n0_i #s(literal -1/3 binary32)) #s(literal 1/120 binary32) (.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 (.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(.f32 (-.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(.f32 (-.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(.f32 (-.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(.f32 (-.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (neg.f32 normAngle))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
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n0_i
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(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
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(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
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(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(neg.f32 (.f32 n0_i (fma.f32 normAngle (/.f32 (.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal -1 binary32))))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(.f32 (neg.f32 n0_i) (fma.f32 normAngle (/.f32 (.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) (fma.f32 (neg.f32 n1_i) (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32))))
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(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
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(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
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(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
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(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
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(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
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(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
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(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle u) (cos.f32 normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
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(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle u) (cos.f32 normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (/.f32 (.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (/.f32 (.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 n0_i (/.f32 (.f32 (*.f32 normAngle u) (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) n0_i) n1_i))) (neg.f32 n1_i))
-1
#s(literal -1 binary32)
(- (* 1/3 (pow normAngle 2)) 1)
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) #s(literal -1 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 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
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n0_i
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(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
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(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
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(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
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(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(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)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
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(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
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(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (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 (neg.f32 u)) (cos.f32 normAngle) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
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(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
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(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
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(sin (+ normAngle (* -1 (* normAngle u))))
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(sin (+ normAngle (* -1 (* normAngle u))))
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(sin (+ normAngle (* -1 (* normAngle u))))
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(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(.f32 normAngle (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) u)))
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (neg.f32 u)) normAngle)
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
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(* 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))
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(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
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(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (* -1 u)))
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(* normAngle (+ 1 (* -1 u)))
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(* -1 (* normAngle (- u 1)))
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(* -1 (* normAngle (- u 1)))
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(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) 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)))))
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(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
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(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
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(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
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(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
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(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)))))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))) (.f32 #s(literal -1/6 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (-.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))
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(/ (sin (* normAngle (- 1 u))) (sin normAngle))
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(/ (sin (* normAngle (- 1 u))) (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))
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(/ (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 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (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 n0_i (neg.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 (.f32 normAngle normAngle) u))))) 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 (.f32 normAngle (.f32 normAngle normAngle))) (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle)))) (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (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 (.f32 normAngle normAngle) (.f32 u (.f32 u 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 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u)) (.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)))))
(* (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 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u)) (.f32 #s(literal -1/6 binary32) (.f32 n1_i (*.f32 normAngle normAngle))))))
(* (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 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u)) (.f32 #s(literal -1/6 binary32) (.f32 n1_i (*.f32 normAngle normAngle))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u 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 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (.f32 u u)) (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)))) (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))))))
(.f32 (fma.f32 (neg.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 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (.f32 u u)) (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))) (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))))))
(.f32 (fma.f32 (neg.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 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (.f32 u u)) (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))) (neg.f32 (.f32 u (*.f32 u u))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 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 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* 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 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* 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 #s(literal -1/5040 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (neg.f32 u) n0_i))))) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i))))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 n1_i (.f32 (.f32 (.f32 normAngle normAngle) 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 (sin.f32 normAngle) (.f32 normAngle 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 (sin.f32 normAngle) (.f32 normAngle 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 (sin.f32 normAngle) (.f32 normAngle normAngle))) (/.f32 (.f32 n1_i u) (.f32 normAngle normAngle)))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 n1_i (.f32 (.f32 (.f32 normAngle normAngle) 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 (sin.f32 normAngle) (.f32 normAngle 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 (sin.f32 normAngle) (.f32 normAngle 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 (sin.f32 normAngle) (.f32 normAngle 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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)))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 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)))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 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)))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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 normAngle) (.f32 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)))))))
(.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 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)))))))
(.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 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)))))))
(.f32 (neg.f32 n1_i) (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle normAngle) (.f32 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 u) (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))))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 (*.f32 normAngle normAngle) 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 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 n0_i (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle)))) (neg.f32 (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 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 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (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 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (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) (-.f32 (.f32 #s(literal -1/5040 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (fma.f32 #s(literal 1/120 binary32) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (neg.f32 u) n0_i))))) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (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 (neg.f32 u)) (cos.f32 normAngle) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (.f32 (.f32 (.f32 normAngle normAngle) #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 #s(literal -1/2 binary32) (.f32 (sin.f32 normAngle) (.f32 normAngle normAngle)) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 (cos.f32 normAngle) u) (.f32 normAngle (.f32 normAngle normAngle))))) (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 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (-.f32 #s(literal 1 binary32) u) (*.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))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (.f32 (.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (neg.f32 u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (neg.f32 u)) normAngle)
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))
(.f32 (.f32 n0_i (fma.f32 #s(literal 1/6 binary32) u #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 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 (*.f32 n0_i (fma.f32 #s(literal 1/6 binary32) u #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 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 (*.f32 n0_i (fma.f32 #s(literal 1/6 binary32) u #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 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 (*.f32 n0_i (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))
(* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (+ (* 1/120 (* n0_i (- (+ u (pow (- 1 u) 5)) 1))) (/ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 n0_i)) (.f32 (fma.f32 #s(literal -1/36 binary32) (neg.f32 u) #s(literal -1/36 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))
(* n0_i (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #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 (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (* (pow normAngle 2) (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))
(* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(neg.f32 (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (fma.f32 (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32) #s(literal 1/120 binary32))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32))))))
(* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(neg.f32 (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (fma.f32 (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32) #s(literal 1/120 binary32))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32))))))
(* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(neg.f32 (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (fma.f32 (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32) #s(literal 1/120 binary32))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32))))))
(* -1 (* n0_i (+ (* -1 (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))))
(neg.f32 (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (fma.f32 (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32) #s(literal 1/120 binary32))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32))))))
(* u (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i)))))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/45 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))
(* u (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i))))))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/45 binary32)) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i) (.f32 n0_i #s(literal 1/12 binary32))) (.f32 n0_i #s(literal -1/2 binary32))) (.f32 n0_i #s(literal 1/3 binary32)))))
(* u (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (+ (* u (+ (* 1/6 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i))))) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)))))) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i))))))
(.f32 u (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i) (.f32 n0_i #s(literal 1/12 binary32))) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/18 binary32)) (.f32 n0_i #s(literal 1/6 binary32))) (.f32 n0_i #s(literal -1/2 binary32)))) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/45 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* u (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (+ (* u (+ (* 1/24 (* n0_i (* (pow normAngle 2) u))) (+ (* 1/6 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i)))))) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)))))) (* (pow normAngle 2) (+ (* -1/30 n0_i) (* 1/18 n0_i))))))
(.f32 u (fma.f32 u (fma.f32 u (fma.f32 n0_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/18 binary32)) (.f32 #s(literal 1/24 binary32) (.f32 n0_i (.f32 (.f32 normAngle normAngle) u))))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i) (.f32 n0_i #s(literal 1/12 binary32))) (.f32 n0_i #s(literal -1/2 binary32)))) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/45 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))))
(* -1/120 (* n0_i (* (pow normAngle 2) (pow u 5))))
(.f32 #s(literal -1/120 binary32) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (pow.f32 u #s(literal 5 binary32))))
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 2))) (* 1/24 (/ (* n0_i (pow normAngle 2)) u))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/24 binary32) (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) u) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal -1/120 binary32))))
(* (pow u 5) (+ (* -1/120 (* n0_i (pow normAngle 2))) (+ (* 1/24 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ n0_i (pow u 2))) (/ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i))) (pow u 2))))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal -1/120 binary32) (fma.f32 (.f32 normAngle normAngle) (/.f32 (.f32 n0_i #s(literal -1/18 binary32)) (.f32 u u)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n0_i (.f32 u u)) (.f32 #s(literal 1/24 binary32) (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) u))))))
(* (pow u 5) (+ (* -1/2 (/ n0_i (pow u 3))) (+ (* -1/120 (* n0_i (pow normAngle 2))) (+ (* 1/24 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (/ n0_i (pow u 2))) (+ (/ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/36 n0_i))) (pow u 2)) (/ (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i))) (pow u 3))))))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/2 binary32) (/.f32 n0_i (.f32 u (.f32 u u))) (fma.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal -1/120 binary32) (fma.f32 (.f32 normAngle normAngle) (+.f32 (/.f32 (.f32 n0_i #s(literal -1/18 binary32)) (.f32 u u)) (/.f32 (fma.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i) (.f32 n0_i #s(literal 1/12 binary32))) (.f32 u (.f32 u u)))) (fma.f32 #s(literal 1/6 binary32) (/.f32 n0_i (.f32 u u)) (.f32 #s(literal 1/24 binary32) (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) u)))))))
(* -1/120 (* n0_i (* (pow normAngle 2) (pow u 5))))
(.f32 #s(literal -1/120 binary32) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 2)) u)) (* 1/120 (* n0_i (pow normAngle 2))))))
(.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) u) #s(literal -1/24 binary32))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 n0_i) (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/12 n0_i)))) u)) (* 1/24 (* n0_i (pow normAngle 2)))) u)) (* 1/120 (* n0_i (pow normAngle 2))))))
(neg.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (/.f32 (fma.f32 #s(literal 1/24 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/18 binary32)) (.f32 n0_i #s(literal -1/6 binary32))) (neg.f32 u))) (neg.f32 u)))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)))) u)) (+ (* -1/6 n0_i) (* (pow normAngle 2) (+ (* -1/36 n0_i) (* 1/12 n0_i))))) u)) (* 1/24 (* n0_i (pow normAngle 2)))) u)) (* 1/120 (* n0_i (pow normAngle 2))))))
(neg.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (/.f32 (fma.f32 #s(literal 1/24 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (/.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/18 binary32)) (.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i) (.f32 n0_i #s(literal 1/12 binary32))) (.f32 n0_i #s(literal -1/2 binary32))) u)) (neg.f32 u))) (neg.f32 u)))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(.f32 n0_i (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(.f32 n0_i (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
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(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(.f32 n0_i (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(.f32 n0_i (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(.f32 n0_i (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(.f32 n0_i (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))))
(* n0_i (+ (* -1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/120 (- (+ u (pow (- 1 u) 5)) 1))))
(.f32 n0_i (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32))))
(* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))
(.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (fma.f32 (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32) #s(literal 1/120 binary32))))
(* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))
(.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (fma.f32 (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32) #s(literal 1/120 binary32))))
(* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))
(.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (fma.f32 (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32) #s(literal 1/120 binary32))))
(* -1 (* n0_i (+ (* -1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* -1/120 (- (+ u (pow (- 1 u) 5)) 1)))))
(.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))) (fma.f32 (+.f32 u (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal -1/120 binary32) #s(literal 1/120 binary32))))
(* u (+ (* -1/30 n0_i) (* 1/18 n0_i)))
(.f32 u (.f32 n0_i #s(literal 1/45 binary32)))
(* u (+ (* -1/30 n0_i) (+ (* 1/18 n0_i) (* u (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i))))))
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(* u (+ (* -1/30 n0_i) (+ (* 1/18 n0_i) (* u (+ (* -1/36 (+ n0_i (* 2 n0_i))) (+ (* 1/12 n0_i) (* u (+ (* -1/12 n0_i) (* 1/36 n0_i)))))))))
(.f32 u (fma.f32 u (fma.f32 n0_i #s(literal 1/12 binary32) (fma.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i) (.f32 u (.f32 n0_i #s(literal -1/18 binary32))))) (*.f32 n0_i #s(literal 1/45 binary32))))
(* u (+ (* -1/30 n0_i) (+ (* 1/18 n0_i) (* u (+ (* -1/36 (+ n0_i (* 2 n0_i))) (+ (* 1/12 n0_i) (* u (+ (* -1/12 n0_i) (+ (* 1/36 n0_i) (* 1/24 (* n0_i u)))))))))))
(.f32 u (fma.f32 u (fma.f32 u (fma.f32 n0_i #s(literal -1/18 binary32) (.f32 #s(literal 1/24 binary32) (.f32 n0_i u))) (fma.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i) (.f32 n0_i #s(literal 1/12 binary32)))) (.f32 n0_i #s(literal 1/45 binary32))))
(* -1/120 (* n0_i (pow u 5)))
(.f32 #s(literal -1/120 binary32) (.f32 n0_i (pow.f32 u #s(literal 5 binary32))))
(* (pow u 5) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n0_i #s(literal -1/120 binary32) (/.f32 (.f32 n0_i #s(literal 1/24 binary32)) u)))
(* (pow u 5) (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/120 n0_i) (+ (* 1/36 (/ n0_i (pow u 2))) (* 1/24 (/ n0_i u))))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/12 binary32) (/.f32 n0_i (.f32 u u)) (fma.f32 n0_i #s(literal -1/120 binary32) (fma.f32 #s(literal 1/24 binary32) (/.f32 n0_i u) (.f32 #s(literal 1/36 binary32) (/.f32 n0_i (.f32 u u)))))))
(* (pow u 5) (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/36 (/ (+ n0_i (* 2 n0_i)) (pow u 3))) (+ (* -1/120 n0_i) (+ (* 1/36 (/ n0_i (pow u 2))) (+ (* 1/24 (/ n0_i u)) (* 1/12 (/ n0_i (pow u 3)))))))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal -1/12 binary32) (/.f32 n0_i (.f32 u u)) (fma.f32 #s(literal -1/36 binary32) (/.f32 (.f32 #s(literal 3 binary32) n0_i) (.f32 u (.f32 u u))) (fma.f32 n0_i #s(literal -1/120 binary32) (fma.f32 #s(literal 1/24 binary32) (/.f32 n0_i u) (fma.f32 #s(literal 1/12 binary32) (/.f32 n0_i (.f32 u (.f32 u u))) (.f32 #s(literal 1/36 binary32) (/.f32 n0_i (*.f32 u u)))))))))
(* -1/120 (* n0_i (pow u 5)))
(.f32 #s(literal -1/120 binary32) (.f32 n0_i (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 n0_i))))
(.f32 (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 (/.f32 n0_i u) #s(literal -1/24 binary32))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 n0_i) (* 1/12 n0_i)) u)) (* 1/24 n0_i)) u)) (* 1/120 n0_i))))
(.f32 (fma.f32 n0_i #s(literal 1/120 binary32) (/.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (/.f32 (*.f32 n0_i #s(literal 1/18 binary32)) u)) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/36 (+ n0_i (* 2 n0_i))) (* 1/12 n0_i)) u)) (+ (* -1/36 n0_i) (* 1/12 n0_i))) u)) (* 1/24 n0_i)) u)) (* 1/120 n0_i))))
(.f32 (fma.f32 n0_i #s(literal 1/120 binary32) (/.f32 (fma.f32 n0_i #s(literal 1/24 binary32) (/.f32 (fma.f32 n0_i #s(literal 1/18 binary32) (neg.f32 (/.f32 (fma.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i) (*.f32 n0_i #s(literal 1/12 binary32))) u))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
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(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
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(* 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))))
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(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
(/ (sin (* normAngle u)) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle u)) (sin.f32 normAngle))
u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u))) 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 -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 #s(literal 1/120 binary32) u))) (.f32 #s(literal -1/6 binary32) (fma.f32 u (.f32 u u) (neg.f32 u)))) 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 -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 #s(literal 1/120 binary32) u))) (fma.f32 #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 #s(literal -1/5040 binary32) u)))) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 #s(literal 1/120 binary32) u)))) (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) 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))
(* n0_i (- (pow (- 1 u) 2) 1))
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* n0_i (- (pow (- 1 u) 2) 1))
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* n0_i (- (pow (- 1 u) 2) 1))
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* n0_i (- (pow (- 1 u) 2) 1))
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* n0_i (- (pow (- 1 u) 2) 1))
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* n0_i (- (pow (- 1 u) 2) 1))
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* n0_i (- (pow (- 1 u) 2) 1))
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* n0_i (- (pow (- 1 u) 2) 1))
(*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(neg.f32 (fma.f32 n0_i (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(neg.f32 (fma.f32 n0_i (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(neg.f32 (fma.f32 n0_i (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(neg.f32 (fma.f32 n0_i (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))
(* -2 (* n0_i u))
(.f32 (.f32 n0_i u) #s(literal -2 binary32))
(* u (+ (* -2 n0_i) (* n0_i u)))
(.f32 u (.f32 n0_i (+.f32 #s(literal -2 binary32) u)))
(* u (+ (* -2 n0_i) (* n0_i u)))
(.f32 u (.f32 n0_i (+.f32 #s(literal -2 binary32) u)))
(* u (+ (* -2 n0_i) (* n0_i u)))
(.f32 u (.f32 n0_i (+.f32 #s(literal -2 binary32) u)))
(* n0_i (pow u 2))
(.f32 n0_i (.f32 u u))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(.f32 (.f32 u u) (fma.f32 (/.f32 n0_i u) #s(literal -2 binary32) n0_i))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(.f32 (.f32 u u) (fma.f32 (/.f32 n0_i u) #s(literal -2 binary32) n0_i))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(.f32 (.f32 u u) (fma.f32 (/.f32 n0_i u) #s(literal -2 binary32) n0_i))
(* n0_i (pow u 2))
(.f32 n0_i (.f32 u u))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(.f32 (.f32 u u) (fma.f32 (/.f32 n0_i u) #s(literal -2 binary32) n0_i))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(.f32 (.f32 u u) (fma.f32 (/.f32 n0_i u) #s(literal -2 binary32) n0_i))
(* (pow u 2) (+ n0_i (* -2 (/ n0_i u))))
(.f32 (.f32 u u) (fma.f32 (/.f32 n0_i u) #s(literal -2 binary32) n0_i))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(fma.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)) 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 (.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (neg.f32 (.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)))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i normAngle)
(/.f32 n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 (.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (neg.f32 (.f32 normAngle normAngle)) (.f32 n1_i #s(literal 7/360 binary32))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) normAngle)
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* 1/6 u)
(*.f32 #s(literal 1/6 binary32) u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/6 binary32) (.f32 u u)) #s(literal -1/6 binary32)))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u)))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u)))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u)))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(*.f32 normAngle (neg.f32 u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -2 u)
(*.f32 u #s(literal -2 binary32))
(* u (- u 2))
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(* u (- u 2))
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(* u (- u 2))
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* -4 u)
(*.f32 u #s(literal -4 binary32))
(* u (- (* 10 u) 4))
(*.f32 u (fma.f32 u #s(literal 10 binary32) #s(literal -4 binary32)))
(* u (- (* u (+ 10 (* -10 u))) 4))
(*.f32 u (fma.f32 u (fma.f32 u #s(literal -10 binary32) #s(literal 10 binary32)) #s(literal -4 binary32)))
(* u (- (* u (+ 10 (* u (- (* 5 u) 10)))) 4))
(*.f32 u (fma.f32 u (fma.f32 u (fma.f32 u #s(literal 5 binary32) #s(literal -10 binary32)) #s(literal 10 binary32)) #s(literal -4 binary32)))
(* -1 (pow u 5))
(neg.f32 (pow.f32 u #s(literal 5 binary32)))
(* (pow u 5) (- (* 5 (/ 1 u)) 1))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 5 binary32) u) #s(literal -1 binary32)))
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (-.f32 (+.f32 (/.f32 #s(literal 5 binary32) u) #s(literal -1 binary32)) (/.f32 #s(literal 10 binary32) (.f32 u u))))
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (/.f32 #s(literal 5 binary32) u) (-.f32 (-.f32 (/.f32 #s(literal 10 binary32) (.f32 u (.f32 u u))) #s(literal 1 binary32)) (/.f32 #s(literal 10 binary32) (.f32 u u)))))
(* -1 (pow u 5))
(neg.f32 (pow.f32 u #s(literal 5 binary32)))
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))
(*.f32 (pow.f32 u #s(literal 5 binary32)) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -5 binary32) u))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))
(*.f32 (neg.f32 (pow.f32 u #s(literal 5 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 5 binary32) (/.f32 #s(literal -10 binary32) u)) u)))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))
(*.f32 (neg.f32 (pow.f32 u #s(literal 5 binary32))) (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 5 binary32) (/.f32 (+.f32 #s(literal 10 binary32) (/.f32 #s(literal -10 binary32) u)) u)) u)))

eval519.0ms (3.3%)

Memory: -43.5MiB live, 493.7MiB allocated
Compiler: Compiled 78 709 to 5 300 computations (93.3% saved)

prune194.0ms (1.2%)

Memory

-19.8MiB live, 504.7MiB allocated

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	1 571	21	1 592
Fresh	7	1	8
Picked	5	0	5
Done	0	0	0
Total	1 583	22	1 605

Accuracy

100.0%

Counts

1 605 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 (.f32 normAngle normAngle) u) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) n0_i))
	98.5%	(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
	97.6%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	98.6%	(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 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	99.2%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (+.f32 (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32))))) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 (.f32 n0_i #s(literal -1/3 binary32)) #s(literal 1/120 binary32) (.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 (.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 binary32))))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	98.9%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	98.5%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
▶	99.5%	(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 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
	81.8%	(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
	97.2%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	59.1%	(fma.f32 n0_i (neg.f32 u) n0_i)
▶	80.2%	(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
	32.2%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
▶	98.4%	(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (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))
	80.9%	(+.f32 (.f32 #s(literal 1 binary32) 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))
	38.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	96.9%	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
▶	38.5%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
	96.8%	(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
	38.0%	(*.f32 n1_i u)
	58.9%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
▶	46.4%	(*.f32 n0_i #s(literal 1 binary32))

Compiler

Compiled 992 to 590 computations (40.5% saved)

simplify623.0ms (4%)

Memory

-3.4MiB live, 902.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	cost-diff	64	(*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
✓	cost-diff	128	(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (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))
✓	cost-diff	192	(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i))
✓	cost-diff	0	(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u)
✓	cost-diff	0	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
✓	cost-diff	0	(*.f32 u n1_i)
✓	cost-diff	160	(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
✓	cost-diff	160	(*.f32 n0_i #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(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))
✓	cost-diff	0	(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 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	cost-diff	96	(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 normAngle (/.f32 n1_i (sin.f32 normAngle))))

Rules

24 794×	`lower-fma.f64`
24 770×	`lower-fma.f32`
6 366×	`lower-+.f64`
6 364×	`lower-+.f32`
3 916×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	349
0	83	346
1	204	338
2	694	328
3	2977	328
4	6936	328
0	8375	322

Stop Event

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

Calls

Call 1

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

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

localize264.0ms (1.7%)

Memory

19.3MiB live, 255.7MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.1%	(.f32 (.f32 n0_i #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
✓	accuracy	99.0%	(*.f32 n0_i #s(literal -1/6 binary32))
✓	accuracy	98.9%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	58.5%	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	accuracy	100.0%	(*.f32 normAngle normAngle)
✓	accuracy	99.9%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
✓	accuracy	99.6%	(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
✓	accuracy	98.9%	(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	99.8%	(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
✓	accuracy	100.0%	(*.f32 n0_i #s(literal 1 binary32))
✓	accuracy	99.9%	(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))
✓	accuracy	99.9%	(fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32))
✓	accuracy	99.9%	(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 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	accuracy	99.6%	(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))

Samples

168.0ms	252×	0	valid
4.0ms	3×	5	exit
1.0ms	1×	1	valid

Compiler

Compiled 391 to 55 computations (85.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 144.0ms

ival-mult: 72.0ms (49.9% of total)

const: 47.0ms (32.6% of total)

ival-add: 16.0ms (11.1% of total)

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

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

adjust: 1.0ms (0.7% of total)

ival-sub: 1.0ms (0.7% of total)

ival-neg: 1.0ms (0.7% of total)

exact: 0.0ms (0% of total)

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

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

series48.0ms (0.3%)

Memory

17.5MiB live, 54.7MiB allocated

Counts

21 → 468

Calls

Call 1

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

Outputs
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))>
#<alt (* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))>
#<alt (* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))>
#<alt (* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))>
#<alt (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))>
#<alt (* -1 (* n0_i (+ (* -1 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (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) (- (+ (* 1/3 n0_i) (* (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 (* 2/945 (* n0_i (pow normAngle 6)))>
#<alt (* (pow normAngle 6) (+ (* 2/945 n0_i) (* 1/45 (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 4))))))>
#<alt (* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (* (pow normAngle 5) (sin normAngle)))))))>
#<alt (* 2/945 (* n0_i (pow normAngle 6)))>
#<alt (* (pow normAngle 6) (+ (* 2/945 n0_i) (* 1/45 (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 4))))))>
#<alt (* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (* (pow normAngle 5) (sin normAngle)))))))>
#<alt (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))>
#<alt (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))>
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))>
#<alt (* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1 (* u (+ (* -1 (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -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 (- (* 1/3 n0_i) (* -1/6 n1_i))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -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 (- (* 1/3 n0_i) (* -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 (* 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))) (* 1/3 (/ (* n0_i u) (pow normAngle 4))))))>
#<alt (* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i u) (pow normAngle 4))) (/ (* n1_i u) (* (pow normAngle 5) (sin normAngle)))))))>
#<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))) (* 1/3 (/ (* n0_i u) (pow normAngle 4))))))>
#<alt (* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i u) (pow normAngle 4))) (/ (* n1_i u) (* (pow normAngle 5) (sin normAngle)))))))>
#<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 (+ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) 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 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) n1_i)))))>
#<alt -1>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)>
#<alt (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)>
#<alt (* 2/945 (pow normAngle 6))>
#<alt (* (pow normAngle 6) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 6) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))>
#<alt (* (pow normAngle 6) (- (+ 2/945 (+ (/ 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 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))>
#<alt (* (pow normAngle 6) (- (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))) (/ 1 (pow normAngle 6))))>
#<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>
#<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 (* 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>
#<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 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)>
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#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* 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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<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)))))))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 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))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* 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))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (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))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<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))) (/ (* 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) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt u>
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
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#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* u (+ 1 (* 1/6 (pow normAngle 2))))>
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#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))>
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#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))>
#<alt (* 1/6 u)>
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#<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 (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))>
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#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))>
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#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))>
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#<alt n0_i>
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#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
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#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2)))))))>
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* -1/3 (* n0_i (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))>
#<alt (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))>
#<alt (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))>
#<alt (* -1 (* n0_i (- (+ u (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)) (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)) (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)) (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))>
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))))>
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* 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 2))))))))))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))))))>
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (* n1_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1/3 (* n0_i (pow normAngle 2))) (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (* n1_i (- (* -1/6 (pow normAngle 2)) 1))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) (* 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)))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i))))))>
#<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 (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) n1_i)))))>
#<alt (* -2 u)>
#<alt (* u (- (* 3 u) 2))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 2))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 2))>
#<alt (* -1 (pow u 3))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))>
#<alt (* -1 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))>
#<alt (* -2 u)>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt n1_i>
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt 1/45>
#<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))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* 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 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 n0_i)>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))>
#<alt (* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))>
#<alt (* 1/6 (* n0_i (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* 1/6 n0_i)))>
#<alt (* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))>
#<alt (* 1/6 (* n0_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/2 (/ n0_i u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))>

Calls

117 calls:

Time	Variable		Point	Expression
14.0ms	u	@	0	(* u (+ (* -1/6 (* u u)) 1/6))
1.0ms	n0_i	@	0	(+ (* (* normAngle normAngle) (* (* n0_i -1/6) (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)))) (+ (* n0_i (neg u)) n0_i))
1.0ms	normAngle	@	0	(+ (* (* normAngle normAngle) (* (* n0_i -1/6) (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)))) (+ (* n0_i (neg u)) n0_i))
1.0ms	n0_i	@	0	(+ (* n0_i (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) 2/945) 1/45)) 1/3)) -1)) (* normAngle (/ n1_i (sin normAngle))))
1.0ms	n0_i	@	inf	(+ (* (* normAngle normAngle) (* (* n0_i -1/6) (* (- 1 u) (+ (* (- 1 u) (- 1 u)) -1)))) (+ (* n0_i (neg u)) n0_i))

rewrite796.0ms (5.1%)

Memory

-12.2MiB live, 626.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 744×	`lower-*.f64`
5 722×	`lower-*.f32`
4 954×	`lower-fma.f64`
4 930×	`lower-fma.f32`
2 958×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	260
0	83	252
1	400	248
2	3181	248
0	8574	246

Stop Event

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

Counts

21 → 741

Calls

Call 1

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

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

simplify804.0ms (5.1%)

Memory

7.2MiB live, 653.7MiB allocated

Algorithm

1×	egg-herbie

Rules

14 794×	`lower-fma.f64`
14 794×	`lower-fma.f32`
7 574×	`lower-*.f64`
7 574×	`lower-*.f32`
4 126×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	578	8051
1	1924	7821
2	7002	7813
0	8167	7183

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 447

Calls

Call 1

Inputs
(/ (* n1_i normAngle) (sin normAngle))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))
(* -1 (* n0_i (+ (* -1 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (+ (* -1 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (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) (- (+ (* 1/3 n0_i) (* (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)))))
(* 2/945 (* n0_i (pow normAngle 6)))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (* 1/45 (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 4))))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (* (pow normAngle 5) (sin normAngle)))))))
(* 2/945 (* n0_i (pow normAngle 6)))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (* 1/45 (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 4))))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (* (pow normAngle 5) (sin normAngle)))))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))
(/ (* n1_i normAngle) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))))
n0_i
(+ n0_i (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (* n0_i (- (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) 1)))
(* -1 (* n0_i (- (+ (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -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 (- (* 1/3 n0_i) (* -1/6 n1_i))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -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 (- (* 1/3 n0_i) (* -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))))))))))))))
(* 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))) (* 1/3 (/ (* n0_i u) (pow normAngle 4))))))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i u) (pow normAngle 4))) (/ (* n1_i u) (* (pow normAngle 5) (sin normAngle)))))))
(* 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))) (* 1/3 (/ (* n0_i u) (pow normAngle 4))))))
(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i u) (pow normAngle 4))) (/ (* n1_i u) (* (pow normAngle 5) (sin normAngle)))))))
(+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))))
(+ n0_i (+ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) 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 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) n1_i)))))
-1
(- (* 1/3 (pow normAngle 2)) 1)
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(* 2/945 (pow normAngle 6))
(* (pow normAngle 6) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
(* (pow normAngle 6) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
(* (pow normAngle 6) (- (+ 2/945 (+ (/ 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 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
(* (pow normAngle 6) (- (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))) (/ 1 (pow normAngle 6))))
(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
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
(* 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
(+ 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)))))
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)))))
(* 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 (+ 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)))))))
(* 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)))))))
(* 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)))))))
(* 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)))))))
(* 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)))))))
(* 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)))))))
(* n1_i u)
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 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))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* 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))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* -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))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* 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) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
u
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(* 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))))))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))
(* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* -1 (* n0_i (- (+ u (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) 1)))
(* -1 (* n0_i (- (+ u (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) 1)))
(* -1 (* n0_i (- (+ u (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) 1)))
(* -1 (* n0_i (- (+ u (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) 1)))
n0_i
(+ n0_i (* u (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (pow normAngle 2)))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u)))))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2)))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (/ n0_i (pow u 3)))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* -1/3 (* n0_i (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* -1/3 (* n0_i (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))))))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))
(+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))
(+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(* -1 (* n0_i (- (+ u (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)) (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)) (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)) (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))) 1)))
n0_i
(+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* 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 2))))))))))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (* n0_i (pow normAngle 2))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1/3 (* n0_i (pow normAngle 2))) (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (* n1_i (- (* -1/6 (pow normAngle 2)) 1))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) (* 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)))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i))))))
(* 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 (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) n1_i)))))
(* -2 u)
(* u (- (* 3 u) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(* u (- (* u (+ 3 (* -1 u))) 2))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 2 (pow u 2)))))
(* -1 (pow u 3))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 2 (/ 1 u))) u)))))
(* -2 u)
(* u (- u 2))
(* u (- u 2))
(* u (- u 2))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/ (* n1_i normAngle) (sin normAngle))
1/45
(+ 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))))))
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))
(* 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 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 n0_i)
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(* 1/3 (* n0_i u))
(* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))
(* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))
(* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))
(* 1/6 (* n0_i (pow u 3)))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* 1/6 n0_i)))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))
(* 1/6 (* n0_i (pow u 3)))
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))

Outputs
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32))))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32))))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))
(.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) 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)) #s(literal 1/3 binary32))) #s(literal -1 binary32))))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) 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)) #s(literal 1/3 binary32))) #s(literal -1 binary32))))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) 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)) #s(literal 1/3 binary32))) #s(literal -1 binary32))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))
(.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))
(* -1 (* n0_i (+ (* -1 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) 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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))))
(* -1 (* n0_i (+ (* -1 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) 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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))))
(* -1 (* n0_i (+ (* -1 (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) 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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))
(fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (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 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (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 (.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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(* 2/945 (* n0_i (pow normAngle 6)))
(.f32 n0_i (.f32 #s(literal 2/945 binary32) (pow.f32 normAngle #s(literal 6 binary32))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (* 1/45 (/ n0_i (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n0_i (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle)))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 4))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 n0_i #s(literal 2/945 binary32)))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (* (pow normAngle 5) (sin normAngle)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i #s(literal 2/945 binary32) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 n1_i (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 5 binary32))))))))
(* 2/945 (* n0_i (pow normAngle 6)))
(.f32 n0_i (.f32 #s(literal 2/945 binary32) (pow.f32 normAngle #s(literal 6 binary32))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (* 1/45 (/ n0_i (pow normAngle 2)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n0_i (/.f32 #s(literal 1/45 binary32) (*.f32 normAngle normAngle)))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (* 1/3 (/ n0_i (pow normAngle 4))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 n0_i #s(literal 2/945 binary32)))))
(* (pow normAngle 6) (+ (* 2/945 n0_i) (+ (* 1/45 (/ n0_i (pow normAngle 2))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (* (pow normAngle 5) (sin normAngle)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 n0_i #s(literal 2/945 binary32) (fma.f32 n0_i (/.f32 #s(literal 1/45 binary32) (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 n1_i (*.f32 (sin.f32 normAngle) (pow.f32 normAngle #s(literal 5 binary32))))))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))
(.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32))))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32))))
(+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))
(.f32 n1_i (fma.f32 (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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))
(.f32 n1_i (fma.f32 (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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))
(.f32 n1_i (fma.f32 (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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 (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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 (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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) n1_i)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 (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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
n0_i
(+ n0_i (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) u n0_i)
(+ n0_i (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) u n0_i)
(+ n0_i (* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) u n0_i)
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) u)
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* u (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) u)
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(neg.f32 (.f32 (neg.f32 u) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (/.f32 n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
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(* -1 (* u (+ (* -1 (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
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(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* -1 (* n0_i (- (+ (* -1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
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(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i))))))
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(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
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(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -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))))))))))))))
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(* 2/945 (* n0_i (* (pow normAngle 6) u)))
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(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (* 1/45 (/ (* n0_i u) (pow normAngle 2)))))
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(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (* 1/3 (/ (* n0_i u) (pow normAngle 4))))))
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(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i u) (pow normAngle 4))) (/ (* n1_i u) (* (pow normAngle 5) (sin normAngle)))))))
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(* 2/945 (* n0_i (* (pow normAngle 6) u)))
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(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (* 1/45 (/ (* n0_i u) (pow normAngle 2)))))
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(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (* 1/3 (/ (* n0_i u) (pow normAngle 4))))))
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(* (pow normAngle 6) (+ (* 2/945 (* n0_i u)) (+ (* 1/45 (/ (* n0_i u) (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i u) (pow normAngle 4))) (/ (* n1_i u) (* (pow normAngle 5) (sin normAngle)))))))
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(+ n0_i (+ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
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(+ n0_i (+ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
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(+ n0_i (+ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
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(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))
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(* n1_i (+ (/ n0_i n1_i) (+ (/ (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))) n1_i) (/ (* normAngle u) (sin normAngle)))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) n1_i)))))
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(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) n1_i)))))
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(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* n0_i (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) n1_i)))))
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-1
#s(literal -1 binary32)
(- (* 1/3 (pow normAngle 2)) 1)
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
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(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
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(* 2/945 (pow normAngle 6))
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(fma.f32 n0_i (neg.f32 u) n0_i)
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(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ n0_i (pow normAngle 2)))))
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(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
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(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
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(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
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(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
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(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
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n0_i
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(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
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(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
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(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))))))))
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(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) n0_i))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (neg.f32 (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (.f32 normAngle normAngle))) (/.f32 n0_i (*.f32 normAngle normAngle))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u))
(+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) n0_i))
(+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) n0_i))
(+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) n0_i))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (neg.f32 u)) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 n1_i (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u) n0_i) (neg.f32 u))) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 n1_i (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u) n0_i) (neg.f32 u))) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 n1_i (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u) n0_i) (neg.f32 u))) n0_i)
(* -1 (* n0_i (- (+ u (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) 1)))
(.f32 (neg.f32 n0_i) (+.f32 #s(literal -1 binary32) (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) #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) u)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)) (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))) 1)))
(neg.f32 (fma.f32 n0_i (fma.f32 n1_i (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u) n0_i)) (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) #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) u)) (neg.f32 n0_i)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)) (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))) 1)))
(neg.f32 (fma.f32 n0_i (fma.f32 n1_i (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u) n0_i)) (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) #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) u)) (neg.f32 n0_i)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)) (* 1/6 (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))) 1)))
(neg.f32 (fma.f32 n0_i (fma.f32 n1_i (neg.f32 (/.f32 (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u) n0_i)) (fma.f32 (.f32 (.f32 (.f32 normAngle normAngle) #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) u)) (neg.f32 n0_i)))
n0_i
(+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(fma.f32 u (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (.f32 normAngle normAngle)))) n0_i) n0_i)
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* 1/3 (* n0_i (pow normAngle 2))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))))
(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i)) n0_i)
(+ n0_i (* u (+ (* -1 n0_i) (+ (* 1/3 (* n0_i (pow normAngle 2))) (+ (* 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 2))))))))))))
(fma.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32)) (-.f32 (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (.f32 u (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal -1/6 binary32) (.f32 n0_i #s(literal 1/6 binary32)))))) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)) n0_i)) n0_i)
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u (.f32 u u)) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal -1/6 binary32) (.f32 n0_i #s(literal 1/6 binary32)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (* n0_i (pow normAngle 2))))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal -1/6 binary32) (.f32 n0_i #s(literal 1/6 binary32))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))))))
(.f32 u (.f32 (.f32 u u) (-.f32 (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal -1/6 binary32) (.f32 n0_i #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 #s(literal 1/3 binary32) (.f32 n0_i (.f32 normAngle normAngle))) (.f32 u u))))) (/.f32 n0_i (.f32 u u)))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (* 1/3 (/ (* n0_i (pow normAngle 2)) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))))))
(.f32 u (.f32 (.f32 u u) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal -1/6 binary32) (.f32 n0_i #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)) (fma.f32 (.f32 n0_i #s(literal 1/3 binary32)) (/.f32 (.f32 normAngle normAngle) (.f32 u u)) (/.f32 n0_i (.f32 u (.f32 u u)))))) (/.f32 n0_i (*.f32 u u))))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (* n1_i (pow normAngle 2))))))
(.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal -1/6 binary32)))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u))))))
(.f32 (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal 1/2 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal -1/6 binary32))))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1/3 (* n0_i (pow normAngle 2))) (* n1_i (- (* -1/6 (pow normAngle 2)) 1)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (fma.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal -1/3 binary32) n0_i)) (neg.f32 u))) u)) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (+ (* -1/3 (* n0_i (pow normAngle 2))) (* n1_i (- (* -1/6 (pow normAngle 2)) 1))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (* n1_i (pow normAngle 2)))))))
(.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (/.f32 (-.f32 (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (fma.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal -1/3 binary32) n0_i)) (/.f32 n0_i u)) (neg.f32 u))) (neg.f32 u))) (neg.f32 (.f32 u (.f32 u u))))
(+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (neg.f32 u)) n0_i)
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))))
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(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1))))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))))
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(.f32 n1_i (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u))
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(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i))))))
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(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) (* (- 1 u) (- (pow (- 1 u) 2) 1)))) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i))))))
(.f32 n1_i (+.f32 u (fma.f32 n0_i (neg.f32 (/.f32 u n1_i)) (fma.f32 (.f32 (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 #s(literal -1/6 binary32) n1_i) (fma.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (/.f32 n0_i n1_i))))))
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(.f32 n1_i (fma.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u))
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n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
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1/45
#s(literal 1/45 binary32)
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(* 2/945 (pow normAngle 2))
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(* (pow normAngle 2) (+ 2/945 (* 1/45 (/ 1 (pow normAngle 2)))))
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(* 2/945 (pow normAngle 2))
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1/3
#s(literal 1/3 binary32)
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(+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))
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(* (pow normAngle 4) (+ 2/945 (+ (/ 1/3 (pow normAngle 4)) (* 1/45 (/ 1 (pow normAngle 2))))))
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1/6
#s(literal 1/6 binary32)
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(+ 1/6 (* -1/6 (pow u 2)))
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(* 1/6 u)
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(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #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 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 n0_i)
(*.f32 n0_i #s(literal -1/6 binary32))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* -1/6 (* n0_i (* (- 1 u) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
(* 1/3 (* n0_i u))
(.f32 #s(literal 1/3 binary32) (.f32 n0_i u))
(* u (+ (* -1/2 (* n0_i u)) (* 1/3 n0_i)))
(.f32 u (fma.f32 u (.f32 n0_i #s(literal -1/2 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))
(* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))
(.f32 u (fma.f32 u (fma.f32 n0_i (.f32 #s(literal 1/6 binary32) u) (.f32 n0_i #s(literal -1/2 binary32))) (.f32 n0_i #s(literal 1/3 binary32))))
(* u (+ (* 1/3 n0_i) (* u (+ (* -1/2 n0_i) (* 1/6 (* n0_i u))))))
(.f32 u (fma.f32 u (fma.f32 n0_i (.f32 #s(literal 1/6 binary32) u) (.f32 n0_i #s(literal -1/2 binary32))) (.f32 n0_i #s(literal 1/3 binary32))))
(* 1/6 (* n0_i (pow u 3)))
(.f32 n0_i (.f32 (.f32 u (.f32 u u)) #s(literal 1/6 binary32)))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* 1/6 n0_i)))
(.f32 (.f32 u u) (.f32 u (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (.f32 n0_i #s(literal 1/6 binary32)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))
(.f32 (.f32 u u) (.f32 u (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) (.f32 u u)) (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 n0_i #s(literal 1/6 binary32))))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* 1/6 n0_i) (* 1/3 (/ n0_i (pow u 2))))))
(.f32 (.f32 u u) (.f32 u (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) (.f32 u u)) (fma.f32 (/.f32 n0_i u) #s(literal -1/2 binary32) (*.f32 n0_i #s(literal 1/6 binary32))))))
(* 1/6 (* n0_i (pow u 3)))
(.f32 n0_i (.f32 (.f32 u (.f32 u u)) #s(literal 1/6 binary32)))
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/2 (/ n0_i u)))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (fma.f32 (/.f32 n0_i u) #s(literal 1/2 binary32) (.f32 n0_i #s(literal -1/6 binary32)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (-.f32 (.f32 n0_i #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u)) u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/3 (/ n0_i u))) u)) (* -1/6 n0_i))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (-.f32 (.f32 n0_i #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (/.f32 (*.f32 n0_i #s(literal 1/3 binary32)) u)) u))))

eval382.0ms (2.4%)

Memory: -3.5MiB live, 395.1MiB allocated
Compiler: Compiled 89 344 to 3 444 computations (96.1% saved)

prune333.0ms (2.1%)

Memory

6.2MiB live, 449.2MiB allocated

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1 260	18	1 278
Fresh	7	10	17
Picked	4	1	5
Done	0	0	0
Total	1 271	29	1 300

Accuracy

100.0%

Counts

1 300 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(fma.f32 (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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
	98.5%	(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) n0_i))
	98.6%	(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) n0_i))
▶	97.6%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	99.1%	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (-.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 normAngle (.f32 normAngle u)) (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))) u)) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	98.9%	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))) u) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
▶	98.5%	(fma.f32 u (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
▶	99.2%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	98.9%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	91.7%	(fma.f32 u (fma.f32 (.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) n0_i)
▶	98.5%	(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i)) n0_i)
	75.6%	(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
	97.2%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	80.2%	(fma.f32 u n1_i n0_i)
	59.1%	(fma.f32 n0_i (neg.f32 u) n0_i)
	32.2%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
	98.3%	(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u) n1_i))
	80.2%	(+.f32 (*.f32 n1_i u) n0_i)
	80.9%	(+.f32 (.f32 #s(literal 1 binary32) 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))
	20.4%	(.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (*.f32 normAngle normAngle)))))
	38.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	80.1%	(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
	96.9%	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
✓	38.5%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
	38.5%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
	96.8%	(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
	38.0%	(*.f32 n1_i u)
	58.9%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
▶	46.4%	n0_i

Compiler

Compiled 1 171 to 708 computations (39.5% saved)

simplify372.0ms (2.4%)

Memory

-21.4MiB live, 769.3MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 #s(literal -1/2 binary32) (.f32 normAngle (*.f32 normAngle u)))
✓	cost-diff	0	(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i)) n0_i)
✓	cost-diff	320	(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (.f32 normAngle normAngle))))
✓	cost-diff	320	(fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i))
✓	cost-diff	0	(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
✓	cost-diff	0	(.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle)
✓	cost-diff	0	(fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i))
✓	cost-diff	0	(fma.f32 u (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
✓	cost-diff	0	(-.f32 n1_i n0_i)
✓	cost-diff	0	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
✓	cost-diff	0	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (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)))) (fma.f32 n1_i #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 #s(literal 1/3 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

14 412×	`lower-fma.f64`
14 384×	`lower-fma.f32`
5 098×	`lower-*.f64`
5 076×	`lower-*.f32`
3 544×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	383
0	83	361
1	197	350
2	587	350
3	2307	346
4	6418	346
0	8054	336

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

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

localize177.0ms (1.1%)

Memory

11.2MiB live, 379.9MiB allocated

Localize:

Found 14 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i)) n0_i)
✓	accuracy	99.8%	(.f32 n0_i (.f32 normAngle normAngle))
✓	accuracy	99.7%	(.f32 normAngle (.f32 normAngle u))
✓	accuracy	99.6%	(.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))
✓	accuracy	99.9%	(fma.f32 u (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
✓	accuracy	99.5%	(.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle)
✓	accuracy	99.4%	(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
✓	accuracy	99.0%	(*.f32 n0_i #s(literal 1/3 binary32))
✓	accuracy	100.0%	(-.f32 n1_i n0_i)
✓	accuracy	99.8%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
✓	accuracy	99.0%	(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32)))
✓	accuracy	99.0%	(*.f32 n0_i #s(literal 1/3 binary32))
✓	accuracy	98.7%	(*.f32 n1_i #s(literal -7/2160 binary32))
✓	accuracy	98.7%	(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))

Samples

102.0ms	253×	0	valid
4.0ms	2×	5	exit
1.0ms	1×	2	valid

Compiler

Compiled 430 to 57 computations (86.7% saved)

Precisions

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

ival-mult: 40.0ms (48.4% of total)

const: 19.0ms (23% of total)

ival-add: 18.0ms (21.8% of total)

ival-sub: 3.0ms (3.6% of total)

adjust: 1.0ms (1.2% of total)

exact: 0.0ms (0% of total)

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

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

series62.0ms (0.4%)

Memory

16.0MiB live, 132.9MiB allocated

Counts

20 → 600

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 (.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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)>
#<alt (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))>
#<alt (fma.f32 (-.f32 n1_i n0_i) u n0_i)>
#<alt (-.f32 n1_i n0_i)>
#<alt (fma.f32 u (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)>
#<alt (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i))>
#<alt (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle)>
#<alt (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))>
#<alt (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i))>
#<alt (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (.f32 normAngle normAngle))))>
#<alt (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i)) n0_i)>
#<alt (.f32 #s(literal -1/2 binary32) (.f32 normAngle (*.f32 normAngle u)))>
#<alt (*.f32 n1_i #s(literal -7/2160 binary32))>
#<alt (*.f32 n0_i #s(literal 1/3 binary32))>
#<alt (fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32)))>
#<alt (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))>
#<alt (.f32 normAngle (.f32 normAngle u))>
#<alt (.f32 n0_i (.f32 normAngle 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 (* (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 (* (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 (* 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 (* 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 u))) n0_i))>
#<alt (* 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 u))) n0_i))>
#<alt (* 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 u))) n0_i))>
#<alt (* 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 (* -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)) (* -1 (/ n0_i 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)) (* -1 (/ n0_i 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)) (* -1 (/ n0_i u)))))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (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) (* 1/3 n0_i))) (* (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) (* 1/3 n0_i))) (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) (* 1/3 n0_i))) (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) (* 1/3 n0_i))) (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) (* 1/3 n0_i))) (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 (* (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 (* (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 (* (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 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (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 (* (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 (* (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) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3)))) 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) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 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) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 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) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))>
#<alt (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (* 1/3 n0_i)))) n0_i)>
#<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))))))) n0_i)>
#<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 (* (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))) (* 1/3 (/ n0_i (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))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6))))))) (+ (* -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))) (* 1/3 (/ n0_i (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))) (+ (* 1/3 (/ n0_i (pow normAngle 4))) (/ n1_i (pow normAngle 6))))))) (+ (* -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 (* (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 (* (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 (* (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 (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))>
#<alt (* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* (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 (* (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 (* (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) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3)))))>
#<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) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))))>
#<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) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))))>
#<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) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))))>
#<alt (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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) (+ (* 1/3 n0_i) (* (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)))>
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#<alt (* -1 (* n0_i (+ 1 (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) n0_i)) (+ (* -1/3 (pow normAngle 2)) (* 1/2 (* (pow normAngle 2) u)))))))>
#<alt (- n1_i n0_i)>
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#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2))))>
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#<alt (* (pow normAngle 2) (- (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (/ n1_i (pow normAngle 2))))) (/ n0_i (pow normAngle 2))))>
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#<alt (* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i))))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (+ (* -1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (* n0_i (pow normAngle 2)) n1_i))))) (/ n0_i n1_i)))>
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#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2))))) n0_i)) (* u (+ 1 (+ (* -1/3 (pow normAngle 2)) (* 1/2 (* (pow normAngle 2) u)))))) 1)))>
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#<alt (* -7/2160 n1_i)>
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#<alt (* 1/3 n0_i)>
#<alt (* 1/45 n0_i)>
#<alt (+ (* 7/360 n1_i) (* 1/45 n0_i))>
#<alt (+ (* 7/360 n1_i) (* 1/45 n0_i))>
#<alt (+ (* 7/360 n1_i) (* 1/45 n0_i))>
#<alt (* 7/360 n1_i)>
#<alt (* n1_i (+ 7/360 (* 1/45 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 7/360 (* 1/45 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 7/360 (* 1/45 (/ n0_i n1_i))))>
#<alt (* 7/360 n1_i)>
#<alt (* -1 (* n1_i (- (* -1/45 (/ n0_i n1_i)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -1/45 (/ n0_i n1_i)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -1/45 (/ n0_i n1_i)) 7/360)))>
#<alt (* 7/360 n1_i)>
#<alt (+ (* 7/360 n1_i) (* 1/45 n0_i))>
#<alt (+ (* 7/360 n1_i) (* 1/45 n0_i))>
#<alt (+ (* 7/360 n1_i) (* 1/45 n0_i))>
#<alt (* 1/45 n0_i)>
#<alt (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/45 (* 7/360 (/ n1_i n0_i))))>
#<alt (* 1/45 n0_i)>
#<alt (* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))>
#<alt (* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))>
#<alt (* -1 (* n0_i (- (* -7/360 (/ n1_i n0_i)) 1/45)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* 1/3 (* n0_i (pow normAngle 2)))>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* (pow normAngle 2) u)>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>
#<alt (* n0_i (pow normAngle 2))>

Calls

150 calls:

Time	Variable		Point	Expression
4.0ms	normAngle	@	inf	(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (- (* n0_i 2/945) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (+ (* n1_i 7/360) (* n0_i 1/45)))) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- n1_i n0_i))) n0_i)
3.0ms	u	@	inf	(+ (* u (+ (* n0_i (* -1/2 (* normAngle (* normAngle u)))) (- (+ (* n1_i (+ (* (* normAngle normAngle) 1/6) 1)) (* 1/3 (* n0_i (* normAngle normAngle)))) n0_i))) n0_i)
2.0ms	n0_i	@	0	(+ (* u (+ (* (* (+ (* n1_i 1/6) (* n0_i 1/3)) normAngle) normAngle) (- n1_i n0_i))) n0_i)
2.0ms	u	@	0	(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (- (* n0_i 2/945) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (+ (* n1_i 7/360) (* n0_i 1/45)))) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- n1_i n0_i))) n0_i)
2.0ms	n1_i	@	0	(+ (* u (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (- (* n0_i 2/945) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (+ (* n1_i 7/360) (* n0_i 1/45)))) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- n1_i n0_i))) n0_i)

rewrite430.0ms (2.8%)

Memory

-17.7MiB live, 925.0MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 884×	`lower-*.f64`
6 862×	`lower-*.f32`
6 316×	`lower-fma.f64`
6 288×	`lower-fma.f32`
2 978×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	251
0	83	239
1	392	228
2	3762	228
0	9769	224

Stop Event

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

Counts

20 → 645

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 (.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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
(fma.f32 u (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i))
(.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle)
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
(fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i))
(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (.f32 normAngle normAngle))))
(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i)) n0_i)
(.f32 #s(literal -1/2 binary32) (.f32 normAngle (*.f32 normAngle u)))
(*.f32 n1_i #s(literal -7/2160 binary32))
(*.f32 n0_i #s(literal 1/3 binary32))
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32)))
(.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))
(.f32 normAngle (.f32 normAngle u))
(.f32 n0_i (.f32 normAngle 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 n1_i (.f32 #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))))))
(/.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))) (.f32 n1_i #s(literal 67/15120 binary32)))
(/.f32 (neg.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)))) (neg.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)))))
(/.f32 (neg.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32)))) (neg.f32 (.f32 n1_i #s(literal 67/15120 binary32))))
(/.f32 (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/4665600 binary32)) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))))
(*.f32 n1_i #s(literal -31/15120 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))) (/.f32 #s(literal 1 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 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 n1_i #s(literal 67/15120 binary32))))
(*.f32 #s(literal -31/15120 binary32) n1_i)
(+.f32 (.f32 n0_i #s(literal 2/945 binary32)) (.f32 n1_i #s(literal 31/15120 binary32)))
(+.f32 (.f32 n1_i #s(literal 31/15120 binary32)) (.f32 n0_i #s(literal 2/945 binary32)))
(+.f32 (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 #s(literal -1/840 binary32) n1_i)) (neg.f32 (.f32 n1_i #s(literal -7/2160 binary32))))
(+.f32 (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 #s(literal -1/840 binary32) n1_i)) (.f32 (neg.f32 n1_i) #s(literal -7/2160 binary32)))
(+.f32 (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 #s(literal -1/840 binary32) n1_i)) (.f32 #s(literal 7/2160 binary32) n1_i))
(pow.f32 (/.f32 (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (fma.f32 n1_i #s(literal -31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32))) (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 8/843908625 binary32) (.f32 (.f32 n1_i (*.f32 n1_i n1_i)) #s(literal 29791/3456649728000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 n1_i #s(literal -31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32))) (-.f32 (.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32)) (.f32 (*.f32 n1_i n1_i) #s(literal 961/228614400 binary32)))) #s(literal -1 binary32))
(fma.f32 n1_i #s(literal 31/15120 binary32) (*.f32 n0_i #s(literal 2/945 binary32)))
(fma.f32 n0_i #s(literal 2/945 binary32) (*.f32 n1_i #s(literal 31/15120 binary32)))
(fma.f32 #s(literal 2/945 binary32) n0_i (*.f32 n1_i #s(literal 31/15120 binary32)))
(fma.f32 #s(literal -1 binary32) (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n0_i #s(literal 2/945 binary32)))
(fma.f32 (neg.f32 n1_i) #s(literal -31/15120 binary32) (*.f32 n0_i #s(literal 2/945 binary32)))
(-.f32 (.f32 n0_i #s(literal 2/945 binary32)) (.f32 n1_i #s(literal -31/15120 binary32)))
(-.f32 (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 #s(literal -1/840 binary32) n1_i)) (.f32 n1_i #s(literal -7/2160 binary32)))
(-.f32 (/.f32 (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 8/843908625 binary32)) (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (fma.f32 n1_i #s(literal -31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32)))) (/.f32 (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -29791/3456649728000 binary32)) (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (fma.f32 n1_i #s(literal -31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32)))))
(-.f32 (/.f32 (.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32)) (fma.f32 n1_i #s(literal -31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (/.f32 (.f32 (.f32 n1_i n1_i) #s(literal 961/228614400 binary32)) (fma.f32 n1_i #s(literal -31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))))
(-.f32 (-.f32 (.f32 n0_i #s(literal 2/945 binary32)) (.f32 n1_i #s(literal -7/2160 binary32))) (*.f32 n1_i #s(literal 1/840 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (fma.f32 n1_i #s(literal -31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32))) (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 8/843908625 binary32) (.f32 (.f32 n1_i (*.f32 n1_i n1_i)) #s(literal 29791/3456649728000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n1_i #s(literal -31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32))) (-.f32 (.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32)) (.f32 (*.f32 n1_i n1_i) #s(literal 961/228614400 binary32)))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 8/843908625 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 29791/3456649728000 binary32))) (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (fma.f32 n1_i #s(literal -31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32))) (.f32 (*.f32 n0_i n0_i) #s(literal 4/893025 binary32))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 8/843908625 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 29791/3456649728000 binary32))) (fma.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32) (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 961/228614400 binary32)) (.f32 (.f32 n0_i #s(literal 2/945 binary32)) (*.f32 n1_i #s(literal 31/15120 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32)) (.f32 (.f32 n1_i n1_i) #s(literal 961/228614400 binary32))) (fma.f32 n1_i #s(literal -31/15120 binary32) (*.f32 n0_i #s(literal 2/945 binary32))))
(/.f32 (-.f32 (.f32 (.f32 n0_i n0_i) #s(literal 4/893025 binary32)) (.f32 (.f32 n1_i n1_i) #s(literal 961/228614400 binary32))) (-.f32 (.f32 n0_i #s(literal 2/945 binary32)) (.f32 n1_i #s(literal 31/15120 binary32))))
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(/.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (.f32 u (.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))))) (.f32 u (.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i)))))
(/.f32 (.f32 (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i) (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (neg.f32 n0_i))) (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (neg.f32 n0_i)))
(/.f32 (neg.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i (-.f32 n0_i (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))))) (.f32 u (.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))))))))
(/.f32 (neg.f32 (.f32 (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i) (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (neg.f32 n0_i)))) (neg.f32 (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (neg.f32 n0_i))))
(/.f32 (-.f32 (.f32 n0_i n0_i) (.f32 u (.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))))))) (-.f32 n0_i (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))))))
(.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i (-.f32 n0_i (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))))) (.f32 u (.f32 (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))))))))
(.f32 (.f32 (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) n0_i) (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (neg.f32 n0_i))) (/.f32 #s(literal 1 binary32) (fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))) (neg.f32 n0_i))))
(.f32 normAngle (.f32 (*.f32 u normAngle) #s(literal -1/2 binary32)))
(.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal -1/2 binary32)))
(.f32 #s(literal -1/2 binary32) (.f32 u (*.f32 normAngle normAngle)))
(.f32 (.f32 u normAngle) (*.f32 normAngle #s(literal -1/2 binary32)))
(.f32 (.f32 u (*.f32 normAngle normAngle)) #s(literal -1/2 binary32))
(.f32 (.f32 normAngle #s(literal -1/2 binary32)) (*.f32 u normAngle))
(.f32 (.f32 #s(literal -1/2 binary32) (*.f32 normAngle normAngle)) u)
(.f32 (.f32 #s(literal -1/2 binary32) (*.f32 u normAngle)) normAngle)
(.f32 (.f32 (*.f32 normAngle #s(literal -1/2 binary32)) u) normAngle)
(.f32 (.f32 (*.f32 normAngle #s(literal -1/2 binary32)) normAngle) u)
(*.f32 n1_i #s(literal -7/2160 binary32))
(*.f32 #s(literal -7/2160 binary32) n1_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(*.f32 #s(literal 1/3 binary32) n0_i)
(+.f32 (.f32 n0_i #s(literal 1/45 binary32)) (.f32 n1_i #s(literal 7/360 binary32)))
(+.f32 (.f32 n1_i #s(literal 7/360 binary32)) (.f32 n0_i #s(literal 1/45 binary32)))
(pow.f32 (/.f32 (fma.f32 (.f32 n0_i #s(literal 1/45 binary32)) (-.f32 (.f32 n0_i #s(literal 1/45 binary32)) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32))) (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/91125 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal -1/45 binary32) n0_i)) (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32)) (.f32 (*.f32 n0_i n0_i) #s(literal 1/2025 binary32)))) #s(literal -1 binary32))
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32)))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))
(fma.f32 #s(literal 7/360 binary32) n1_i (*.f32 n0_i #s(literal 1/45 binary32)))
(fma.f32 #s(literal 1/45 binary32) n0_i (*.f32 n1_i #s(literal 7/360 binary32)))
(-.f32 (/.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32)) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal -1/45 binary32) n0_i))) (/.f32 (.f32 (.f32 n0_i n0_i) #s(literal 1/2025 binary32)) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal -1/45 binary32) n0_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 n0_i #s(literal 1/45 binary32)) (-.f32 (.f32 n0_i #s(literal 1/45 binary32)) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32))) (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/91125 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal -1/45 binary32) n0_i)) (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32)) (.f32 (*.f32 n0_i n0_i) #s(literal 1/2025 binary32)))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/91125 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32))) (fma.f32 (.f32 n0_i #s(literal 1/45 binary32)) (-.f32 (.f32 n0_i #s(literal 1/45 binary32)) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/91125 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32))) (fma.f32 (.f32 n0_i n0_i) #s(literal 1/2025 binary32) (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32)) (.f32 n1_i (.f32 #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32)))))))
(/.f32 (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32)) (.f32 (.f32 n0_i n0_i) #s(literal 1/2025 binary32))) (fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 #s(literal -1/45 binary32) n0_i)))
(/.f32 (neg.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/91125 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32)))) (neg.f32 (fma.f32 (.f32 n0_i #s(literal 1/45 binary32)) (-.f32 (.f32 n0_i #s(literal 1/45 binary32)) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32)))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32)) (.f32 (.f32 n0_i n0_i) #s(literal 1/2025 binary32)))) (neg.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 #s(literal -1/45 binary32) n0_i))))
(/.f32 (-.f32 (.f32 (.f32 n0_i n0_i) #s(literal 1/2025 binary32)) (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32))) (-.f32 (.f32 n0_i #s(literal 1/45 binary32)) (.f32 n1_i #s(literal 7/360 binary32))))
(.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/91125 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 343/46656000 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 n0_i #s(literal 1/45 binary32)) (-.f32 (.f32 n0_i #s(literal 1/45 binary32)) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 (*.f32 n1_i n1_i) #s(literal 49/129600 binary32)))))
(.f32 (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/129600 binary32)) (.f32 (.f32 n0_i n0_i) #s(literal 1/2025 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 #s(literal -1/45 binary32) n0_i))))
(.f32 n0_i (.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)))
(.f32 n0_i (.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32)))
(.f32 (.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/3 binary32)))
(.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))
(.f32 (.f32 n0_i #s(literal 1/3 binary32)) (*.f32 normAngle normAngle))
(.f32 (.f32 n0_i (*.f32 normAngle normAngle)) #s(literal 1/3 binary32))
(.f32 (.f32 n0_i normAngle) (*.f32 normAngle #s(literal 1/3 binary32)))
(.f32 (.f32 (*.f32 n0_i #s(literal 1/3 binary32)) normAngle) normAngle)
(.f32 (.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)) n0_i)
(.f32 (.f32 #s(literal 1/3 binary32) (*.f32 n0_i normAngle)) normAngle)
(.f32 u (.f32 normAngle normAngle))
(.f32 normAngle (.f32 u normAngle))
(.f32 (.f32 normAngle normAngle) u)
(.f32 (.f32 u normAngle) normAngle)
(.f32 n0_i (.f32 normAngle normAngle))
(.f32 normAngle (.f32 n0_i normAngle))
(.f32 (.f32 normAngle normAngle) n0_i)
(.f32 (.f32 n0_i normAngle) normAngle)

simplify419.0ms (2.7%)

Memory

46.8MiB live, 795.9MiB allocated

Algorithm

1×	egg-herbie

Rules

13 922×	`lower-fma.f64`
13 922×	`lower-fma.f32`
6 606×	`lower-*.f64`
6 606×	`lower-*.f32`
4 484×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	600	10325
1	1969	10026
2	7059	10020
0	8016	8954

Stop Event

1×	iter limit
1×	node limit

Counts

600 → 592

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

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

eval295.0ms (1.9%)

Memory: -9.3MiB live, 263.7MiB allocated
Compiler: Compiled 70 413 to 3 310 computations (95.3% saved)

prune330.0ms (2.1%)

Memory

14.2MiB live, 253.5MiB allocated

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1 360	16	1 376
Fresh	6	17	23
Picked	2	3	5
Done	0	1	1
Total	1 368	37	1 405

Accuracy

100.0%

Counts

1 405 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.3%	(fma.f32 (fma.f32 (.f32 normAngle normAngle) (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)
	98.4%	(fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
	98.6%	(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) n0_i))
✓	97.6%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	98.5%	(fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
	59.1%	(fma.f32 (neg.f32 n0_i) u n0_i)
	81.5%	(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)
✓	98.5%	(fma.f32 u (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
	98.3%	(fma.f32 u (fma.f32 (.f32 (.f32 n1_i #s(literal 1/6 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
	97.7%	(fma.f32 u (fma.f32 (.f32 (.f32 n0_i #s(literal 1/3 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
	98.9%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	98.5%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	91.7%	(fma.f32 u (fma.f32 (.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) n0_i)
	98.5%	(fma.f32 u (fma.f32 n0_i (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i)
	75.6%	(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
	81.4%	(fma.f32 u (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 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 n1_i)) n0_i)
	80.9%	(fma.f32 u (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))) n0_i)
	59.2%	(fma.f32 u (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
	97.2%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	80.2%	(fma.f32 u n1_i n0_i)
	32.2%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
	98.3%	(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u) n1_i))
	98.3%	(+.f32 (+.f32 n0_i (.f32 u (.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))))))) (*.f32 u (-.f32 n1_i n0_i)))
	80.2%	(+.f32 (*.f32 n1_i u) n0_i)
	80.9%	(+.f32 (.f32 #s(literal 1 binary32) 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))
	38.9%	(.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 n1_i u))
	59.0%	(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
	38.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	80.1%	(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
	96.9%	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
✓	38.5%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
	38.5%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
	96.8%	(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
	38.0%	(*.f32 n1_i u)
	97.8%	(.f32 n0_i (fma.f32 u (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) (/.f32 n1_i n0_i) #s(literal 1 binary32))))
	58.9%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	46.4%	n0_i

Compiler

Compiled 2 177 to 751 computations (65.5% saved)

regimes165.0ms (1.1%)

Memory

-7.3MiB live, 107.8MiB allocated

Counts

69 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_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 u (+.f32 n1_i (/.f32 n0_i u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 u (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(fma.f32 u (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))) n0_i)
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 u (fma.f32 (.f32 (.f32 n0_i #s(literal 1/3 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (.f32 n1_i #s(literal 1/6 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) n0_i))
(fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+.f32 (.f32 #s(literal 1 binary32) 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 n0_i (.f32 u (.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))))))) (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_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 n1_i u))
(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 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #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)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (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 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 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 n1_i)) n0_i)
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i)
(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))) u) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(.f32 n0_i (fma.f32 u (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) (/.f32 n1_i n0_i) #s(literal 1 binary32))))
(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 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) n0_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u) n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 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 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (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 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 (.f32 normAngle normAngle) u) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) n0_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (-.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 normAngle (.f32 normAngle u)) (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))) u)) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(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 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (+.f32 (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32))))) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 (.f32 n0_i #s(literal -1/3 binary32)) #s(literal 1/120 binary32) (.f32 n0_i #s(literal -1/5040 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 (.f32 n1_i #s(literal -7/360 binary32)) #s(literal 1/6 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 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.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)) #s(literal 1/3 binary32))) #s(literal -1 binary32)))) n0_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))
(+.f32 (.f32 (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)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+.f32 (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)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) 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))
(+.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) (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) n1_i))

Outputs

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

Calls

5 calls:

49.0ms	(+.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))
39.0ms	n0_i
36.0ms	normAngle
19.0ms	n1_i
18.0ms	u

Results

Accuracy	Segments	Branch
99.5%	1	`normAngle`
99.5%	1	`u`
99.5%	1	`n0_i`
99.5%	1	`n1_i`
99.5%	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)

regimes131.0ms (0.8%)

Memory

-0.1MiB live, 90.8MiB allocated

Counts

54 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_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 u (+.f32 n1_i (/.f32 n0_i u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 u (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(fma.f32 u (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))) n0_i)
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 u (fma.f32 (.f32 (.f32 n0_i #s(literal 1/3 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (.f32 n1_i #s(literal 1/6 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) n0_i))
(fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+.f32 (.f32 #s(literal 1 binary32) 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 n0_i (.f32 u (.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))))))) (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_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 n1_i u))
(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 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #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)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (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 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 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 n1_i)) n0_i)
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i)
(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))) u) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(.f32 n0_i (fma.f32 u (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) (/.f32 n1_i n0_i) #s(literal 1 binary32))))
(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 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) n0_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u) n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 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 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (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 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 (.f32 normAngle normAngle) u) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))) n0_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (-.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 normAngle (.f32 normAngle u)) (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))) u)) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)

Outputs

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

Calls

5 calls:

48.0ms	(+.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))
37.0ms	n0_i
15.0ms	n1_i
15.0ms	u
14.0ms	normAngle

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)

regimes94.0ms (0.6%)

Memory

-20.1MiB live, 95.4MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 n0_i) u n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_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 u (+.f32 n1_i (/.f32 n0_i u)))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(fma.f32 u (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) n0_i)
(fma.f32 u (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))) n0_i)
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) #s(literal -1 binary32)) (neg.f32 n0_i))
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 u (fma.f32 (.f32 (.f32 n0_i #s(literal 1/3 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (.f32 n1_i #s(literal 1/6 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) u))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) n0_i))
(fma.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 u (*.f32 normAngle normAngle)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+.f32 (.f32 #s(literal 1 binary32) 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 n0_i (.f32 u (.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))))))) (*.f32 u (-.f32 n1_i n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_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 n1_i u))
(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 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #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)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (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 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 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 n1_i)) n0_i)
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(.f32 (.f32 normAngle normAngle) (.f32 n1_i (fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (/.f32 u (*.f32 normAngle normAngle)))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i)
(fma.f32 u (fma.f32 n0_i (.f32 #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle u))) (-.f32 (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 #s(literal 1/3 binary32) (.f32 n0_i (*.f32 normAngle normAngle)))) n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))) u) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(.f32 n0_i (fma.f32 u (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))) (fma.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) (/.f32 n1_i n0_i) #s(literal 1 binary32))))
(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 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)))) n0_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u) n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32)) (.f32 n0_i #s(literal 1/120 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)

Outputs

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

Calls

5 calls:

22.0ms	n1_i
22.0ms	u
22.0ms	(+.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))
13.0ms	n0_i
13.0ms	normAngle

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes106.0ms (0.7%)

Memory

2.4MiB live, 77.4MiB allocated

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

40.0ms	n0_i
32.0ms	normAngle
11.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
11.0ms	u
11.0ms	n1_i

Results

Accuracy	Segments	Branch
98.5%	1	`normAngle`
98.5%	1	`u`
98.5%	1	`n0_i`
98.5%	1	`n1_i`
98.5%	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)

regimes70.0ms (0.4%)

Memory

32.5MiB live, 69.9MiB allocated

Counts

35 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

29.0ms	n0_i
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	n1_i
10.0ms	u
10.0ms	normAngle

Results

Accuracy	Segments	Branch
98.5%	1	`normAngle`
98.5%	1	`u`
98.5%	1	`n0_i`
98.5%	1	`n1_i`
98.5%	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)

regimes87.0ms (0.6%)

Memory

-22.4MiB live, 60.0MiB allocated

Counts

29 → 1

Calls

Call 1

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

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

Calls

5 calls:

34.0ms	u
26.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
9.0ms	n1_i
9.0ms	n0_i
8.0ms	normAngle

Results

Accuracy	Segments	Branch
98.5%	1	`normAngle`
98.5%	1	`u`
98.5%	1	`n0_i`
98.5%	1	`n1_i`
98.5%	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)

regimes58.0ms (0.4%)

Memory

9.5MiB live, 47.0MiB allocated

Counts

24 → 1

Calls

Call 1

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

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

Calls

5 calls:

28.0ms	n0_i
7.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
7.0ms	u
7.0ms	n1_i
7.0ms	normAngle

Results

Accuracy	Segments	Branch
98.5%	1	`normAngle`
98.5%	1	`u`
98.5%	1	`n0_i`
98.5%	1	`n1_i`
98.5%	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)

regimes61.0ms (0.4%)

Memory

-6.3MiB live, 32.3MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

33.0ms	u
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))
6.0ms	n0_i
6.0ms	n1_i
6.0ms	normAngle

Results

Accuracy	Segments	Branch
98.3%	1	`normAngle`
98.3%	1	`u`
98.3%	1	`n0_i`
98.3%	1	`n1_i`
98.3%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes107.0ms (0.7%)

Memory

-16.9MiB live, 28.2MiB allocated

Counts

20 → 1

Calls

Call 1

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

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

Calls

5 calls:

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))
6.0ms	u
6.0ms	n0_i
6.0ms	n1_i
6.0ms	normAngle

Results

Accuracy	Segments	Branch
97.7%	1	`u`
97.7%	1	`normAngle`
97.7%	1	`n0_i`
97.7%	1	`n1_i`
97.7%	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)

regimes31.0ms (0.2%)

Memory

34.9MiB live, 34.9MiB allocated

Counts

19 → 1

Calls

Call 1

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

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

Calls

5 calls:

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	n1_i
6.0ms	normAngle
6.0ms	n0_i
6.0ms	u

Results

Accuracy	Segments	Branch
97.6%	1	`u`
97.6%	1	`n0_i`
97.6%	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))`
97.6%	1	`normAngle`
97.6%	1	`n1_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes20.0ms (0.1%)

Memory

-11.9MiB live, 26.7MiB allocated

Counts

8 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
80.2%	1	`normAngle`
80.2%	1	`u`
87.7%	3	`n0_i`
80.2%	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))`
80.2%	1	`n1_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes3.0ms (0%)

Memory

5.7MiB live, 5.7MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

n0_i

Results

Accuracy	Segments	Branch
87.6%	3	`n0_i`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes2.0ms (0%)

Memory

4.6MiB live, 4.6MiB allocated

Counts

4 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)

Outputs
(fma.f32 u n1_i n0_i)

Calls

1 calls:

2.0ms

n0_i

Results

Accuracy	Segments	Branch
80.2%	1	`n0_i`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes16.0ms (0.1%)

Memory

-20.2MiB live, 18.9MiB allocated

Counts

3 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)

Outputs
n0_i
(*.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	n0_i
2.0ms	normAngle
2.0ms	u
2.0ms	n1_i

Results

Accuracy	Segments	Branch
60.2%	3	`n1_i`
46.4%	1	`normAngle`
46.4%	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))`
54.5%	2	`u`
64.0%	3	`n0_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes5.0ms (0%)

Memory

9.7MiB live, 9.7MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))

Outputs
n0_i

Calls

3 calls:

2.0ms	n0_i
1.0ms	u
1.0ms	n1_i

Results

Accuracy	Segments	Branch
46.4%	1	`u`
46.4%	1	`n1_i`
46.4%	1	`n0_i`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.654042346479258e-11	4.629204242156959e-10
0.0ms	-8.173529127825097e-15	-7.114088269486677e-15

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.654042346479258e-11	4.629204242156959e-10
0.0ms	-8.173529127825097e-15	-7.114088269486677e-15

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	7.282199552414512e-20	8.49188851349252e-20
0.0ms	-2.560331489935521e-24	-2.4571837850581212e-24

Compiler

Compiled 32 to 24 computations (25% saved)

simplify10.0ms (0.1%)

Memory

15.0MiB live, 15.0MiB allocated

Algorithm

1×	egg-herbie

Rules

34×	`*-commutative_binary32`
12×	`sub-neg_binary32`
12×	`+-commutative_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	265
1	107	265
2	116	265
3	121	265
4	123	265

Stop Event

1×

saturated

Calls

Call 1

Inputs
(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 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #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 #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 (.f32 n1_i #s(literal 1/6 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (.f32 n0_i #s(literal 1/3 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n0_i #s(literal -9444733/1180591620717411303424 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 14411519/288230376151711744 binary32)) (fma.f32 u n1_i n0_i) (fma.f32 n0_i (neg.f32 u) n0_i)))
(if (<=.f32 n0_i #s(literal -9444733/1180591620717411303424 binary32)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 14411519/288230376151711744 binary32)) (fma.f32 u n1_i n0_i) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 u n1_i n0_i)
(if (<=.f32 n0_i #s(literal -6338253/2535301200456458802993406410752 binary32)) n0_i (if (<=.f32 n0_i #s(literal 1547425/19342813113834066795298816 binary32)) (*.f32 n1_i u) n0_i))
n0_i

Outputs
(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 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (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)))) (fma.f32 n1_i #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 #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (.f32 n1_i #s(literal 1/6 binary32)))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 n0_i (.f32 u #s(literal -1/2 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #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 #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 (.f32 n1_i #s(literal 1/6 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle (.f32 n1_i #s(literal 1/6 binary32))) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 (.f32 n0_i #s(literal 1/3 binary32)) normAngle) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle (.f32 n0_i #s(literal 1/3 binary32))) normAngle (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n0_i #s(literal -9444733/1180591620717411303424 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 14411519/288230376151711744 binary32)) (fma.f32 u n1_i n0_i) (fma.f32 n0_i (neg.f32 u) n0_i)))
(if (<=.f32 n0_i #s(literal -9444733/1180591620717411303424 binary32)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 14411519/288230376151711744 binary32)) (fma.f32 u n1_i n0_i) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(fma.f32 u n1_i n0_i)
(if (<=.f32 n0_i #s(literal -6338253/2535301200456458802993406410752 binary32)) n0_i (if (<=.f32 n0_i #s(literal 1547425/19342813113834066795298816 binary32)) (*.f32 n1_i u) n0_i))
(if (<=.f32 n0_i #s(literal -6338253/2535301200456458802993406410752 binary32)) n0_i (if (<=.f32 n0_i #s(literal 1547425/19342813113834066795298816 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness1.4s (9.1%)

Memory

1.5MiB live, 1 142.0MiB allocated

Rules

14 794×	`lower-fma.f64`
14 794×	`lower-fma.f32`
13 922×	`lower-fma.f64`
13 922×	`lower-fma.f32`
12 022×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	260
0	83	252
1	400	248
2	3181	248
0	8574	246
0	578	8051
1	1924	7821
2	7002	7813
0	8167	7183
0	600	10325
1	1969	10026
2	7059	10020
0	8016	8954
0	984	10292
1	3391	9849
0	8056	9358
0	321	2830
1	987	2714
2	3385	2654
0	8124	2540

Stop Event

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

Compiler

Compiled 871 to 483 computations (44.5% saved)

preprocess124.0ms (0.8%)

Memory: -2.7MiB live, 273.0MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 782 to 302 computations (61.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze375.0ms (2.4%)

sample3.2s (20.4%)

preprocess130.0ms (0.8%)

explain369.0ms (2.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (0.5%)

localize61.0ms (0.4%)

series34.0ms (0.2%)

rewrite470.0ms (3%)

simplify489.0ms (3.1%)

eval42.0ms (0.3%)

prune54.0ms (0.3%)

simplify335.0ms (2.1%)

localize376.0ms (2.4%)

series144.0ms (0.9%)

rewrite439.0ms (2.8%)

simplify486.0ms (3.1%)

eval519.0ms (3.3%)

prune194.0ms (1.2%)

simplify623.0ms (4%)

localize264.0ms (1.7%)

series48.0ms (0.3%)

rewrite796.0ms (5.1%)

simplify804.0ms (5.1%)

eval382.0ms (2.4%)

prune333.0ms (2.1%)

simplify372.0ms (2.4%)

localize177.0ms (1.1%)

series62.0ms (0.4%)

rewrite430.0ms (2.8%)

simplify419.0ms (2.7%)

eval295.0ms (1.9%)

prune330.0ms (2.1%)

regimes165.0ms (1.1%)

regimes131.0ms (0.8%)

regimes94.0ms (0.6%)

regimes106.0ms (0.7%)

regimes70.0ms (0.4%)

regimes87.0ms (0.6%)

regimes58.0ms (0.4%)

regimes61.0ms (0.4%)

regimes107.0ms (0.7%)

regimes31.0ms (0.2%)

regimes20.0ms (0.1%)

regimes3.0ms (0%)

regimes2.0ms (0%)

regimes16.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness1.4s (9.1%)

preprocess124.0ms (0.8%)

end0.0ms (0%)

Profiling