Metrics for Curve intersection, scale width based on ribbon orientation

analyze375.0ms (2.6%)

Memory

0.5MiB live, 501.5MiB 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)

sample3.9s (26.8%)

Memory

-49.9MiB live, 4 379.5MiB allocated

Samples

2.1s	8 256×	0	valid
777.0ms	2 091×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.4s

ival-mult: 595.0ms (24.8% of total)

ival-sin: 448.0ms (18.7% of total)

ival-add: 328.0ms (13.7% of total)

ival-div: 288.0ms (12% of total)

ival-<=: 269.0ms (11.2% of total)

const: 228.0ms (9.5% of total)

ival-sub: 119.0ms (5% of total)

ival-and: 54.0ms (2.3% of total)

ival-pi: 42.0ms (1.8% of total)

exact: 22.0ms (0.9% of total)

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

Bogosity

preprocess139.0ms (1%)

Memory

-9.2MiB live, 126.8MiB 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)

explain286.0ms (2%)

Memory

13.7MiB live, 446.6MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
18	-	18	(1.7105098354521975e-36 4.542805598362065e-8 6.835825239193127e-10 -0.25721532106399536)	`(.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	7
-	0	249

Precision

0/0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	7
-	0	0	249

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

78.0ms	502×	0	valid
2.0ms	10×	1	valid

Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 40.0ms

ival-mult: 17.0ms (42.1% of total)

ival-sin: 14.0ms (34.7% of total)

ival-div: 4.0ms (9.9% of total)

ival-sub: 3.0ms (7.4% of total)

ival-add: 2.0ms (5% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.6MiB live, 1.6MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.9%	(+.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

▶

97.9%

(+.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

-15.7MiB live, 61.9MiB 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

localize57.0ms (0.4%)

Memory

-6.4MiB live, 122.7MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	97.0%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

36.0ms	251×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 26.0ms

ival-mult: 15.0ms (56.8% of total)

ival-sin: 6.0ms (22.7% of total)

ival-div: 2.0ms (7.6% of total)

ival-add: 1.0ms (3.8% of total)

ival-sub: 1.0ms (3.8% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series34.0ms (0.2%)

Memory

-0.9MiB live, 75.7MiB 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
4.0ms	normAngle	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
3.0ms	u	@	inf	(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
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))
2.0ms	u	@	-inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite340.0ms (2.4%)

Memory

7.8MiB live, 794.2MiB 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)))

simplify434.0ms (3%)

Memory

3.4MiB live, 731.9MiB 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)

eval96.0ms (0.7%)

Memory: 0.1MiB live, 75.7MiB allocated
Compiler: Compiled 14 967 to 1 041 computations (93% saved)

prune54.0ms (0.4%)

Memory

9.2MiB live, 131.0MiB 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
	98.1%	(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
▶	99.2%	(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)))
	98.9%	(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)
▶	98.1%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	98.1%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.9%	(+.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 #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))
▶	98.7%	(+.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))
	80.3%	(+.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))
	74.7%	(.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)))
	74.7%	(.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)))
	40.2%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
▶	55.3%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))

Compiler

Compiled 788 to 432 computations (45.2% saved)

simplify377.0ms (2.6%)

Memory

9.3MiB live, 602.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(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)))
✓	cost-diff	96	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓	cost-diff	96	(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 (.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))))
✓	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	96	(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

12 932×	`lower-fma.f64`
12 906×	`lower-fma.f32`
3 948×	`lower-*.f64`
3 912×	`lower-*.f32`
3 512×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	698
0	117	694
1	255	692
2	795	668
3	3162	643
4	6492	642
0	8121	620

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
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(*.f32 normAngle 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))))))
#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 #s(literal 1 binary32) u)
#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 (-.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))))
n1_i
(*.f32 u (fma.f32 u u #s(literal -1 binary32)))
(fma.f32 u u #s(literal -1 binary32))
#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)))))
(-.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))))
(.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)))))
#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))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))
#s(literal 5 binary32)
(*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))
(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)))
#s(literal 1/36 binary32)
(.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(*.f32 u 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)))
(neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))
(*.f32 normAngle (cos.f32 normAngle))
normAngle
(cos.f32 normAngle)
(neg.f32 (sin.f32 normAngle))
(sin.f32 normAngle)
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u (+.f32 (neg.f32 n0_i) n1_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 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u)))
(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
(*.f32 (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 (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 normAngle normAngle)
(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(*.f32 u u)
#s(literal -1/6 binary32)
#s(literal 1/6 binary32)
n1_i
(fma.f32 (.f32 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)))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (neg.f32 (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (-.f32 (-.f32 (.f32 u u) u) u)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) #s(literal -1/36 binary32))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (-.f32 (-.f32 (.f32 u u) u) u)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))))) (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i))
(*.f32 normAngle 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 (.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)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (neg.f32 (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (-.f32 (-.f32 (.f32 u u) u) u)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) #s(literal -1/36 binary32))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (-.f32 (-.f32 (.f32 u u) u) u)) (.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))))
#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 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (-.f32 (-.f32 (.f32 u u) u) u)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))
(-.f32 #s(literal 1 binary32) u)
#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 (-.f32 (.f32 u u) u) u))
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))))
n1_i
(*.f32 u (fma.f32 u u #s(literal -1 binary32)))
(fma.f32 u u #s(literal -1 binary32))
#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)))))
(.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)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (neg.f32 (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (-.f32 (-.f32 (.f32 u u) u) u)) (.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) #s(literal -1/36 binary32))))
(-.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 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (neg.f32 (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)))) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (-.f32 (-.f32 (.f32 u u) u) u)) (.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) #s(literal -1/36 binary32)))
(.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)))))
#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))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))
#s(literal 5 binary32)
(*.f32 n1_i (pow.f32 u #s(literal 5 binary32)))
(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 (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i) #s(literal 1/120 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (-.f32 (-.f32 (.f32 u u) u) u)) (.f32 n1_i (*.f32 u (fma.f32 u u #s(literal -1 binary32))))) #s(literal 1/36 binary32)))
#s(literal 1/36 binary32)
(.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32))
(*.f32 (fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i) #s(literal 1/120 binary32))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u (+.f32 (neg.f32 n0_i) n1_i) n0_i)
(*.f32 u n1_i)

localize309.0ms (2.1%)

Memory

5.1MiB live, 506.0MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	97.9%	(.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)))))
✓	accuracy	97.5%	(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))
✓	accuracy	80.7%	(-.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))))
✓	accuracy	67.9%	(fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.4%	(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
✓	accuracy	99.1%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	98.6%	(.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	100.0%	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	accuracy	99.6%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	accuracy	99.1%	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	accuracy	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%	(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (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	99.6%	(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))

Samples

165.0ms	247×	0	valid
9.0ms	9×	1	valid

Compiler

Compiled 766 to 72 computations (90.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 145.0ms

ival-mult: 53.0ms (36.5% of total)

ival-div: 31.0ms (21.3% of total)

ival-add: 22.0ms (15.1% of total)

const: 14.0ms (9.6% of total)

ival-sin: 7.0ms (4.8% of total)

ival-cos: 5.0ms (3.4% of total)

ival-pow: 5.0ms (3.4% of total)

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

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

adjust: 1.0ms (0.7% of total)

exact: 1.0ms (0.7% of total)

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

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

series118.0ms (0.8%)

Memory

0.0MiB live, 252.1MiB allocated

Counts

26 → 684

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 (-.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))))>
#<alt (fma.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i))>
#<alt (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)))>
#<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 (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 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))>
#<alt (.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)))))>

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

Calls

171 calls:

Time	Variable		Point	Expression
14.0ms	u	@	0	(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (+ (* n0_i (- 1 u)) (* u n1_i)))
7.0ms	normAngle	@	inf	(/ (* normAngle (cos normAngle)) (neg (sin normAngle)))
3.0ms	normAngle	@	inf	(+ (* (* normAngle normAngle) (+ (* -1/6 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))) (* (* normAngle normAngle) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/36 (+ (* (- 1 u) (+ (* n0_i (* (- 1 u) (- 1 u))) (neg n0_i))) (* n1_i (* u (+ (* u u) -1))))) (* (+ (* n0_i (- 1 u)) (* u n1_i)) 1/120)))))) (+ (* n0_i (- 1 u)) (* u n1_i)))
3.0ms	n1_i	@	0	(* u n1_i)
3.0ms	normAngle	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))

rewrite378.0ms (2.6%)

Memory

21.6MiB live, 600.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 298×	`lower-*.f64`
5 262×	`lower-*.f32`
5 040×	`lower-fma.f64`
5 014×	`lower-fma.f32`
3 244×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	353
0	117	339
1	490	339
2	4220	337
0	8333	334

Stop Event

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

Counts

26 → 472

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

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 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.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 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 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 (.f32 n0_i 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 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 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 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (-.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 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 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 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 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.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 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (neg.f32 (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 (.f32 n0_i normAngle) (cos.f32 normAngle)))) (*.f32 (sin.f32 normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (.f32 (.f32 n0_i 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 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.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 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 normAngle (/.f32 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 normAngle (/.f32 n1_i (sin.f32 normAngle))) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 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))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) (-.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 n0_i) (pow.f32 (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)) #s(literal -2 binary32))))))
(.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 #s(literal 1 binary32) (-.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))))
(+.f32 n0_i (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u))
(+.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) n0_i)
(+.f32 (.f32 u (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) (fma.f32 normAngle (*.f32 (/.f32 n1_i (sin.f32 normAngle)) u) n0_i))
(+.f32 (+.f32 n0_i (.f32 u (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))) (/.f32 (.f32 u (.f32 normAngle n1_i)) (sin.f32 normAngle)))
(pow.f32 (/.f32 (fma.f32 n0_i (-.f32 n0_i (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u)) (pow.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) #s(literal 2 binary32))) (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u (neg.f32 n0_i)) (-.f32 (pow.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) #s(literal 2 binary32)) (.f32 n0_i n0_i))) #s(literal -1 binary32))
(fma.f32 n0_i (.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) u) (fma.f32 normAngle (*.f32 (/.f32 n1_i (sin.f32 normAngle)) u) n0_i))
(fma.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (.f32 n0_i u) (fma.f32 normAngle (*.f32 (/.f32 n1_i (sin.f32 normAngle)) u) n0_i))
(fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u n0_i)
(fma.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) n0_i)
(fma.f32 u (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (fma.f32 normAngle (.f32 (/.f32 n1_i (sin.f32 normAngle)) u) n0_i))
(fma.f32 (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) u (fma.f32 normAngle (.f32 (/.f32 n1_i (sin.f32 normAngle)) u) n0_i))
(fma.f32 (.f32 u n0_i) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))) (fma.f32 normAngle (*.f32 (/.f32 n1_i (sin.f32 normAngle)) u) n0_i))
(fma.f32 (.f32 u (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) n0_i (fma.f32 normAngle (*.f32 (/.f32 n1_i (sin.f32 normAngle)) u) n0_i))
(-.f32 (/.f32 (pow.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) #s(literal 2 binary32)) (fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u (neg.f32 n0_i))) (/.f32 (.f32 n0_i n0_i) (fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u (neg.f32 n0_i))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (-.f32 n0_i (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u)) (pow.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) #s(literal 2 binary32))) (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u (neg.f32 n0_i)) (-.f32 (pow.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) #s(literal 2 binary32)) (.f32 n0_i n0_i))))
(/.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 n0_i (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u)) (pow.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) #s(literal 2 binary32))))
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(/.f32 (neg.f32 (neg.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) #s(literal -1 binary32)) (sin.f32 normAngle))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) #s(literal -1 binary32)))
(*.f32 (neg.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 (.f32 (cos.f32 normAngle) (sin.f32 (.f32 u (neg.f32 normAngle)))) (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u))))
(+.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u))) (.f32 (cos.f32 normAngle) (sin.f32 (.f32 u (neg.f32 normAngle)))))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(fma.f32 (cos.f32 normAngle) (sin.f32 (.f32 u (neg.f32 normAngle))) (.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 u (neg.f32 normAngle)))))
(fma.f32 (sin.f32 (.f32 u (neg.f32 normAngle))) (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 u (neg.f32 normAngle)))))
(-.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u))) (.f32 (cos.f32 normAngle) (sin.f32 (.f32 normAngle u))))
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(/.f32 (-.f32 (pow.f32 (.f32 (cos.f32 normAngle) (sin.f32 (.f32 u (neg.f32 normAngle)))) #s(literal 2 binary32)) (pow.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u))) #s(literal 2 binary32))) (sin.f32 (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle))))
(+.f32 normAngle (*.f32 u (neg.f32 normAngle)))
(+.f32 (*.f32 u (neg.f32 normAngle)) normAngle)
(pow.f32 (/.f32 (fma.f32 normAngle (-.f32 normAngle (.f32 u (neg.f32 normAngle))) (.f32 (.f32 normAngle u) (.f32 normAngle u))) (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 u (neg.f32 normAngle)) (.f32 (.f32 normAngle u) (.f32 normAngle u))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle)) (fma.f32 (.f32 normAngle u) (.f32 normAngle u) (*.f32 (neg.f32 normAngle) normAngle))) #s(literal -1 binary32))
(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)
(-.f32 normAngle (*.f32 normAngle u))
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(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 normAngle (-.f32 normAngle (.f32 u (neg.f32 normAngle))) (.f32 (.f32 normAngle u) (.f32 normAngle u))) (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 u (neg.f32 normAngle)) (.f32 (.f32 normAngle u) (.f32 normAngle u))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle)) (fma.f32 (.f32 normAngle u) (.f32 normAngle u) (*.f32 (neg.f32 normAngle) normAngle))))
(/.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 u (neg.f32 normAngle)) (.f32 (.f32 normAngle u) (.f32 normAngle u)))) (fma.f32 normAngle (-.f32 normAngle (.f32 u (neg.f32 normAngle))) (.f32 (.f32 normAngle u) (.f32 normAngle u))))
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(/.f32 (fma.f32 (.f32 normAngle u) (.f32 normAngle u) (*.f32 (neg.f32 normAngle) normAngle)) (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle)))
(/.f32 (neg.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 u (neg.f32 normAngle)) (.f32 (.f32 normAngle u) (.f32 normAngle u))))) (neg.f32 (fma.f32 normAngle (-.f32 normAngle (.f32 u (neg.f32 normAngle))) (.f32 (.f32 normAngle u) (.f32 normAngle u)))))
(/.f32 (neg.f32 (fma.f32 (.f32 normAngle u) (.f32 normAngle u) (*.f32 (neg.f32 normAngle) normAngle))) (neg.f32 (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle u) (.f32 normAngle u))) (-.f32 normAngle (*.f32 u (neg.f32 normAngle))))
(.f32 (fma.f32 normAngle (.f32 normAngle normAngle) (.f32 (.f32 u (neg.f32 normAngle)) (.f32 (.f32 normAngle u) (.f32 normAngle u)))) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (-.f32 normAngle (.f32 u (neg.f32 normAngle))) (.f32 (.f32 normAngle u) (*.f32 normAngle u)))))
(.f32 (fma.f32 (.f32 normAngle u) (.f32 normAngle u) (.f32 (neg.f32 normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 u (neg.f32 normAngle) (neg.f32 normAngle))))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) #s(literal -1 binary32))
(/.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))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 #s(literal -1 binary32) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (neg.f32 (sin.f32 normAngle)))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(.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))))
(+.f32 (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u)))
(+.f32 (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u)) (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
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(fma.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u) (.f32 n0_i (/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
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(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (neg.f32 n1_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 n1_i)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i #s(literal 1 binary32)) (sin.f32 normAngle))
(/.f32 (*.f32 n1_i #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (/.f32 (neg.f32 n1_i) #s(literal -1 binary32)) (sin.f32 normAngle))
(*.f32 n1_i (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 #s(literal 1 binary32) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i)
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n1_i) #s(literal -1 binary32)))
(*.f32 (neg.f32 n1_i) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 n1_i #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(neg.f32 normAngle)
(+.f32 #s(literal 0 binary32) (neg.f32 normAngle))
(-.f32 #s(literal 0 binary32) normAngle)
(/.f32 (-.f32 #s(literal 0 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (+.f32 #s(literal 0 binary32) (fma.f32 normAngle normAngle (*.f32 #s(literal 0 binary32) normAngle))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 normAngle normAngle)) (+.f32 #s(literal 0 binary32) normAngle))
(*.f32 normAngle #s(literal -1 binary32))
(*.f32 #s(literal -1 binary32) normAngle)
(+.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))))
(+.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u #s(literal 1/6 binary32)))
(fma.f32 u #s(literal 1/6 binary32) (.f32 u (.f32 (*.f32 u u) #s(literal -1/6 binary32))))
(fma.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32)) (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 (.f32 u u) (.f32 u #s(literal -1/6 binary32)) (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 #s(literal -1/6 binary32) (.f32 u (.f32 u u)) (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 #s(literal 1/6 binary32) u (.f32 u (.f32 (*.f32 u u) #s(literal -1/6 binary32))))
(fma.f32 (.f32 (.f32 u u) #s(literal -1/6 binary32)) u (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 (.f32 u (.f32 u u)) #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))
(fma.f32 (.f32 u #s(literal -1/6 binary32)) (.f32 u u) (*.f32 u #s(literal 1/6 binary32)))
(/.f32 (fma.f32 (.f32 (.f32 u (.f32 u u)) (.f32 u (.f32 u u))) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) (.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32))) (fma.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (-.f32 (.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u #s(literal 1/6 binary32))) (.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (*.f32 u #s(literal 1/6 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32)))) (.f32 (.f32 u #s(literal 1/6 binary32)) (.f32 u #s(literal 1/6 binary32)))) (-.f32 (.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32))) (.f32 u #s(literal 1/6 binary32))))
(/.f32 (.f32 u (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (.f32 u (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) #s(literal -1/36 binary32))) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(/.f32 (.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) u) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) #s(literal -1/36 binary32)) u) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) u)
(+.f32 #s(literal 1/6 binary32) (.f32 (.f32 u u) #s(literal -1/6 binary32)))
(+.f32 (.f32 (.f32 u u) #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(pow.f32 (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) #s(literal -1/36 binary32))) #s(literal -1 binary32))
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(fma.f32 (*.f32 u #s(literal -1/6 binary32)) u #s(literal 1/6 binary32))
(-.f32 (/.f32 (.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u)))) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))) (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) #s(literal -1/36 binary32))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u)))) (.f32 (*.f32 u u) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) #s(literal -1/36 binary32)) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))))) (-.f32 #s(literal 1/6 binary32) (.f32 (.f32 u u) #s(literal -1/6 binary32))))
(.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 u (.f32 u u))) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(+.f32 (.f32 normAngle #s(literal 1 binary32)) (.f32 normAngle (neg.f32 u)))
(+.f32 (.f32 #s(literal 1 binary32) normAngle) (.f32 u (neg.f32 normAngle)))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u)))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 u (neg.f32 normAngle)))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))) normAngle) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(exp.f32 (*.f32 #s(literal 5 binary32) (log1p.f32 (neg.f32 u))))
(exp.f32 (.f32 (log.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 5/2 binary32)))
(exp.f32 (*.f32 (log.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5/2 binary32))) #s(literal 2 binary32)))
(exp.f32 (.f32 (.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32)) #s(literal 5/2 binary32)))
(exp.f32 (.f32 (.f32 (log1p.f32 (neg.f32 u)) #s(literal 5/2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log1p.f32 (neg.f32 u)) #s(literal 5/2 binary32) (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 5/2 binary32))))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 5/2 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5/2 binary32)) #s(literal 2 binary32))
(pow.f32 (exp.f32 #s(literal 5 binary32)) (log1p.f32 (neg.f32 u)))
(*.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)))
(.f32 (pow.f32 (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))) #s(literal 5 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) #s(literal 5 binary32)))
(.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)))
(+.f32 (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i) (.f32 n0_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))))
(+.f32 (.f32 n0_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i))
(fma.f32 n0_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i))
(fma.f32 n1_i (.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal 1/120 binary32)) (.f32 n0_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))))
(fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 n0_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))))
(fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32)) (.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i))
(fma.f32 (pow.f32 u #s(literal 5 binary32)) (.f32 n1_i #s(literal 1/120 binary32)) (.f32 n0_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))))
(fma.f32 (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) #s(literal 1/120 binary32) (.f32 n0_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))))
(fma.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) #s(literal 1/120 binary32) (.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i))
(fma.f32 (.f32 #s(literal 1/120 binary32) n1_i) (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))))
(fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i (.f32 n0_i (*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))))
(fma.f32 (.f32 #s(literal 1/120 binary32) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i))
(fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) n0_i (.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 n0_i (.f32 n0_i n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32))) #s(literal 1/1728000 binary32) (.f32 (.f32 (.f32 (.f32 n1_i n1_i) n1_i) (pow.f32 u #s(literal 15 binary32))) #s(literal 1/1728000 binary32))) (+.f32 (pow.f32 (.f32 n0_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i) #s(literal 2 binary32)) (.f32 (.f32 n0_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i)))))
(/.f32 (-.f32 (pow.f32 (.f32 n0_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i) #s(literal 2 binary32))) (-.f32 (.f32 n0_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) n1_i)))
(/.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 (.f32 (.f32 n1_i n1_i) n1_i) (pow.f32 u #s(literal 15 binary32)) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32))))) (fma.f32 (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (.f32 (*.f32 n0_i n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)))))
(/.f32 (.f32 #s(literal 1/120 binary32) (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32))) (.f32 (.f32 n1_i n1_i) (pow.f32 u #s(literal 10 binary32))))) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (neg.f32 n1_i) (pow.f32 u #s(literal 5 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 n1_i n1_i) n1_i) (pow.f32 u #s(literal 15 binary32)) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 15 binary32)))) #s(literal 1/120 binary32)) (fma.f32 (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (.f32 (*.f32 n0_i n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32)))))
(/.f32 (.f32 (-.f32 (.f32 (.f32 n0_i n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 10 binary32))) (.f32 (.f32 n1_i n1_i) (pow.f32 u #s(literal 10 binary32)))) #s(literal 1/120 binary32)) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 (neg.f32 n1_i) (pow.f32 u #s(literal 5 binary32)))))
(.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))))
(.f32 (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)))) #s(literal 1/120 binary32))

simplify438.0ms (3%)

Memory

-11.9MiB live, 629.6MiB allocated

Algorithm

1×	egg-herbie

Rules

7 760×	`lower-fma.f64`
7 760×	`lower-fma.f32`
6 574×	`lower-*.f64`
6 574×	`lower-*.f32`
5 652×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1100	13747
1	3848	13236
0	8148	12557

Stop Event

1×	iter limit
1×	node limit

Counts

684 → 674

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)))
(- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))
(* u (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(* u (- (+ (* -1/24 n0_i) (* u (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(* u (- (+ (* -1/24 n0_i) (* u (- (+ (* 1/12 n0_i) (* u (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))) (* 1/36 (+ n0_i (* 2 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(* u (- (+ (* -1/24 n0_i) (* u (- (+ (* 1/12 n0_i) (* u (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (* 1/36 (+ n0_i (* 2 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i))))
(* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (+ (* 1/24 (/ n0_i u)) (* 1/12 (/ n0_i (pow u 3)))))) (+ (* 1/36 (/ (+ n0_i (* 2 n0_i)) (pow u 3))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))))))
(* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i)))) u)) (* 1/12 n0_i)) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))
(* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))))
(* -1 (* n1_i (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(* 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))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))))))
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* (pow normAngle 2) (* u (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i))))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))
(* 1/120 (* (pow normAngle 4) (* (pow u 5) (+ n1_i (* -1 n0_i)))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2)))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (+ (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i))))))) (pow u 3)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2))))))
(* -1/120 (* (pow normAngle 4) (* (pow u 5) (+ n0_i (* -1 n1_i)))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i))))))) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))) n1_i)))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))) n1_i)))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 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))))))
1/6
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
normAngle
(+ normAngle (* -1 (* 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))
1
(+ 1 (* -5 u))
(+ 1 (* u (- (* 10 u) 5)))
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))
(* -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)))))
(* 1/120 (* n1_i (pow u 5)))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(* 1/120 (* n0_i (pow (- 1 u) 5)))
(* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))))
(* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))))
(* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))))
(* 1/120 (* n0_i (pow (- 1 u) 5)))
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i (pow u 5)) n0_i)) (* -1/120 (pow (- 1 u) 5)))))
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i (pow u 5)) n0_i)) (* -1/120 (pow (- 1 u) 5)))))
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i (pow u 5)) n0_i)) (* -1/120 (pow (- 1 u) 5)))))
(* 1/120 n0_i)
(+ (* -1/24 (* n0_i u)) (* 1/120 n0_i))
(+ (* 1/120 n0_i) (* u (+ (* -1/24 n0_i) (* 1/12 (* n0_i u)))))
(+ (* 1/120 n0_i) (* u (+ (* -1/24 n0_i) (* u (+ (* -1/12 (* n0_i u)) (* 1/12 n0_i))))))
(* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i))))
(* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))
(* (pow u 5) (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))))
(* (pow u 5) (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (+ (* 1/24 (/ n0_i u)) (* 1/12 (/ n0_i (pow u 3)))))))
(* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1/12 (/ n0_i u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ n0_i u)) (* 1/12 n0_i)) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(* 1/120 (* n0_i (pow (- 1 u) 5)))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(* 1/120 (* n1_i (pow u 5)))
(* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))
(* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))
(* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))
(* 1/120 (* n1_i (pow u 5)))
(* -1 (* n1_i (+ (* -1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* -1/120 (pow u 5)))))
(* -1 (* n1_i (+ (* -1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* -1/120 (pow u 5)))))
(* -1 (* n1_i (+ (* -1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* -1/120 (pow u 5)))))

Outputs
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 n1_i 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 (.f32 n1_i 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 (.f32 n1_i 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)))))
(+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 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)))))
(+.f32 (-.f32 n1_i n0_i) (.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))))))
(+ 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)))))
(+.f32 (-.f32 n1_i n0_i) (.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) (-.f32 (neg.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 -1/5040 binary32) (fma.f32 n1_i #s(literal 1/720 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))))))
(* 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 (.f32 n1_i 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 (.f32 n1_i normAngle) (sin.f32 normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
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n0_i
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(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (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 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
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(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(.f32 (.f32 normAngle u) (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
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(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(.f32 (.f32 normAngle (neg.f32 u)) (-.f32 (/.f32 (*.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(.f32 (fma.f32 (-.f32 (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))) u (/.f32 n0_i (neg.f32 normAngle))) (neg.f32 normAngle))
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(-.f32 n0_i (/.f32 (.f32 (.f32 n0_i normAngle) (*.f32 (cos.f32 normAngle) u)) (sin.f32 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)))))
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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)))))
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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 (-.f32 n0_i (/.f32 (.f32 (.f32 n0_i normAngle) (.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle))) 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)))))
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-1
#s(literal -1 binary32)
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(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/3 binary32) #s(literal -1 binary32))
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(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
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(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
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n0_i
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1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (neg.f32 normAngle) (/.f32 (*.f32 (cos.f32 normAngle) u) (sin.f32 normAngle)) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 (*.f32 normAngle normAngle) u))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle))) (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(/ (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))
(/ (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))
(/ (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))
(/ (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)))))))
(-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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)) 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)))))))
(-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (neg.f32 u) #s(literal -1/120 binary32) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #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)))))))
(-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (neg.f32 u) #s(literal -1/120 binary32) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/120 binary32) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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) (neg.f32 u) #s(literal 1/120 binary32)))))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u)
(/ (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))
(/ (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))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (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)))))))
(fma.f32 u (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (.f32 (sin.f32 normAngle) u) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (sin.f32 normAngle) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (cos.f32 normAngle) u))) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(fma.f32 normAngle (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 #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)))
(*.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)))))
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u)))
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -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)))))
(fma.f32 u (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 (*.f32 normAngle normAngle) u))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle))) (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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)) 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)
(-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (neg.f32 u) #s(literal -1/120 binary32) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #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)
(-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 (neg.f32 u) #s(literal -1/120 binary32) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/120 binary32) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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) (neg.f32 u) #s(literal 1/120 binary32)))))) (fma.f32 #s(literal 1/6 binary32) (neg.f32 u) #s(literal 1/6 binary32)))) #s(literal 1 binary32)) u)
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))
(fma.f32 u (fma.f32 (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 #s(literal -1/2 binary32) (.f32 n0_i (.f32 (.f32 normAngle normAngle) u)) (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))) (+ (* 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 n0_i (neg.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) (fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 n0_i (.f32 (cos.f32 normAngle) (.f32 normAngle (.f32 normAngle 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 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 #s(literal -1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))) (/.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i) (*.f32 u u)))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 (.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 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)) (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(.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 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)) (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (.f32 u u)))) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(.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 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)) (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (.f32 u u)))) (neg.f32 (.f32 u (*.f32 u u))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) (.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 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))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)))) (.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 #s(literal 1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (*.f32 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))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (.f32 n0_i (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) (.f32 n0_i (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) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i))))) (fma.f32 #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)))) (.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 #s(literal 1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 n1_i u)))
(* 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 n1_i (/.f32 u (.f32 normAngle normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.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 n1_i (/.f32 u (.f32 normAngle normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.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 n1_i (/.f32 u (.f32 normAngle normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.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 n1_i (/.f32 u (.f32 normAngle normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.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 n1_i (/.f32 u (.f32 normAngle normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.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 n1_i (/.f32 u (.f32 normAngle normAngle)) (/.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.f32 normAngle normAngle))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(.f32 n1_i (+.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 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))))))
(.f32 n1_i (+.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 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))))))
(.f32 n1_i (+.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.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 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.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 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.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 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u))))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(-.f32 n0_i (/.f32 (.f32 (.f32 n0_i normAngle) (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle)))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 n0_i (neg.f32 (/.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 n0_i (.f32 (.f32 (cos.f32 normAngle) u) (.f32 normAngle (.f32 normAngle normAngle)))) (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 #s(literal -1/6 binary32) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)))) (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 #s(literal -1/6 binary32) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i))))) (*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))) (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 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (.f32 n0_i (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) (.f32 n0_i (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) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i))))) (fma.f32 #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)))) (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)))))) (*.f32 #s(literal 1/6 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 (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (.f32 (sin.f32 normAngle) u) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (sin.f32 normAngle) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (cos.f32 normAngle) u))) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(fma.f32 normAngle (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 #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))
(- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(-.f32 (fma.f32 n0_i (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 n1_i u))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(-.f32 (fma.f32 n0_i (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 n1_i u))))
(- (+ (* 1/120 (* n1_i (pow u 5))) (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))
(-.f32 (fma.f32 n0_i (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))) (.f32 #s(literal 1/120 binary32) (.f32 n1_i u))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))
(.f32 n0_i (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(.f32 n0_i (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (neg.f32 u) #s(literal -1/120 binary32) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.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 n1_i u) (fma.f32 u u #s(literal -1 binary32))) n0_i)) (/.f32 (.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)) n0_i))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(.f32 n0_i (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (neg.f32 u) #s(literal -1/120 binary32) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.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 n1_i u) (fma.f32 u u #s(literal -1 binary32))) n0_i)) (/.f32 (.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)) n0_i))))
(* n0_i (- (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))) (+ (* 1/120 (- 1 u)) (+ (* 1/120 (/ (* n1_i u) n0_i)) (+ (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* 1/36 (/ (* n1_i (* u (- (pow u 2) 1))) n0_i)))))))
(.f32 n0_i (-.f32 (fma.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (neg.f32 u) #s(literal -1/120 binary32) #s(literal -1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.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 n1_i u) (fma.f32 u u #s(literal -1 binary32))) n0_i)) (/.f32 (.f32 #s(literal 1/120 binary32) (*.f32 n1_i u)) n0_i))))
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))
(.f32 (neg.f32 n0_i) (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (.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))))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))
(.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (neg.f32 n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (.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)))))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))
(.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (neg.f32 n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (.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)))))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))) n0_i)) (* -1/120 (pow (- 1 u) 5))) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))
(.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (neg.f32 n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (.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)))))))
(* u (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))
(* u (- (+ (* -1/24 n0_i) (* u (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(.f32 u (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 u (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))))))
(* u (- (+ (* -1/24 n0_i) (* u (- (+ (* 1/12 n0_i) (* u (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))) (* 1/36 (+ n0_i (* 2 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(.f32 u (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 u (fma.f32 n0_i #s(literal 1/12 binary32) (fma.f32 u (fma.f32 n0_i #s(literal -1/12 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal -1/36 binary32))) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i)))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))))))
(* u (- (+ (* -1/24 n0_i) (* u (- (+ (* 1/12 n0_i) (* u (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* 1/36 (+ n1_i (* -1 n0_i)))))) (* 1/36 (+ n0_i (* 2 n0_i)))))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))
(.f32 u (fma.f32 n0_i #s(literal -1/24 binary32) (fma.f32 u (fma.f32 n0_i #s(literal 1/12 binary32) (fma.f32 u (fma.f32 n0_i #s(literal -1/12 binary32) (fma.f32 #s(literal 1/24 binary32) (.f32 n0_i u) (.f32 (-.f32 n1_i n0_i) #s(literal -1/36 binary32)))) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i)))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))))))
(* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i))))
(.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (-.f32 n1_i n0_i))
(* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 (-.f32 n1_i 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 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u)))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2)))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 n0_i (.f32 u u)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32) (/.f32 (.f32 n0_i #s(literal 1/24 binary32)) u))) (/.f32 (.f32 (-.f32 n1_i n0_i) #s(literal -1/36 binary32)) (*.f32 u u))))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (+ (* 1/24 (/ n0_i u)) (* 1/12 (/ n0_i (pow u 3)))))) (+ (* 1/36 (/ (+ n0_i (* 2 n0_i)) (pow u 3))) (* 1/36 (/ (+ n1_i (* -1 n0_i)) (pow u 2))))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (+.f32 (fma.f32 #s(literal -1/12 binary32) (/.f32 n0_i (.f32 u u)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32) (fma.f32 #s(literal 1/12 binary32) (/.f32 n0_i (.f32 u (.f32 u u))) (/.f32 (.f32 n0_i #s(literal 1/24 binary32)) u)))) (.f32 #s(literal -1/36 binary32) (+.f32 (/.f32 (.f32 #s(literal 3 binary32) n0_i) (.f32 u (.f32 u u))) (/.f32 (-.f32 n1_i n0_i) (.f32 u u))))))
(* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i))))
(.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32)) (-.f32 n0_i n1_i))
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (.f32 n0_i #s(literal -1/24 binary32)) u)) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(neg.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (fma.f32 n0_i #s(literal 1/24 binary32) (/.f32 (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i))) (neg.f32 u))) (neg.f32 u)))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i)))) u)) (* 1/12 n0_i)) (* 1/36 (+ n0_i (* -1 n1_i)))) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (fma.f32 n0_i #s(literal 1/24 binary32) (/.f32 (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (neg.f32 u)) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i)))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) 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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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))))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))
(-.f32 (fma.f32 n1_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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))))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))
(-.f32 (fma.f32 n1_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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))))))
(- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))
(-.f32 (fma.f32 n1_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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))))))
(* n1_i (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))
(.f32 n1_i (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))))
(.f32 n1_i (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) u (fma.f32 #s(literal 1/36 binary32) (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) n1_i))) (/.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i)))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))))
(.f32 n1_i (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) u (fma.f32 #s(literal 1/36 binary32) (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) n1_i))) (/.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i)))))
(* n1_i (- (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))) (+ (* 1/120 u) (+ (* 1/120 (/ (* n0_i (- 1 u)) n1_i)) (+ (* 1/36 (* u (- (pow u 2) 1))) (* 1/36 (/ (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)) n1_i)))))))
(.f32 n1_i (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) u (fma.f32 #s(literal 1/36 binary32) (fma.f32 u (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (/.f32 (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) n1_i))) (/.f32 (*.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i)))))
(* -1 (* n1_i (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(.f32 (neg.f32 n1_i) (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (.f32 (.f32 #s(literal 1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) u)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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)))))) (neg.f32 n1_i))) (fma.f32 #s(literal -1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 u #s(literal -1/120 binary32)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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)))))) (neg.f32 n1_i))) (fma.f32 #s(literal -1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 u #s(literal -1/120 binary32)))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) n1_i)) (* -1/120 (pow u 5))) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))
(.f32 (neg.f32 n1_i) (-.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (/.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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)))))) (neg.f32 n1_i))) (fma.f32 #s(literal -1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))) (*.f32 u #s(literal -1/120 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)))
(* 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 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(neg.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(neg.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))))
(* -1 (* n0_i (+ 1 (* -1 (pow (- 1 u) 2)))))
(neg.f32 (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))))
(* -2 (* n0_i u))
(.f32 #s(literal -2 binary32) (.f32 n0_i u))
(* u (+ (* -2 n0_i) (* n0_i u)))
(.f32 u (fma.f32 n0_i u (.f32 n0_i #s(literal -2 binary32))))
(* u (+ (* -2 n0_i) (* n0_i u)))
(.f32 u (fma.f32 n0_i u (.f32 n0_i #s(literal -2 binary32))))
(* u (+ (* -2 n0_i) (* n0_i u)))
(.f32 u (fma.f32 n0_i u (.f32 n0_i #s(literal -2 binary32))))
(* 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))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* -1/6 (* (pow normAngle 2) (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))) (+ (* n0_i (- 1 u)) (* n1_i u)))
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))))) (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))) (*.f32 n1_i u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))) (* (pow normAngle 2) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))))) (.f32 #s(literal -1/6 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))) (*.f32 n1_i u)))
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 normAngle normAngle)) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (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 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (pow.f32 normAngle #s(literal 4 binary32)))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (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 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (pow.f32 normAngle #s(literal 4 binary32)))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))))))
(* (pow normAngle 4) (- (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 normAngle normAngle)) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (*.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i)))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (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 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (pow.f32 normAngle #s(literal 4 binary32)))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))))))
(* (pow normAngle 4) (- (+ (* -1/6 (/ (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (pow normAngle 2))) (+ (* 1/120 (+ (* n0_i (pow (- 1 u) 5)) (* n1_i (pow u 5)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 4)) (/ (* n1_i u) (pow normAngle 4))))) (+ (* 1/120 (+ (* n0_i (- 1 u)) (* n1_i u))) (* 1/36 (+ (* n1_i (* u (- (pow u 2) 1))) (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (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 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n1_i (/.f32 u (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (pow.f32 normAngle #s(literal 4 binary32)))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))))))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i))))))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (neg.f32 n0_i))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* (pow normAngle 2) (* u (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* (pow normAngle 2) (* u (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i)))))))) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i))))))))) (* (pow normAngle 2) (+ (* -1/6 (+ (* -2 n0_i) (* -1 n1_i))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/36 (+ (* -2 n0_i) (* -1 n1_i)))))))))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 u (.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/12 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal -1/36 binary32))) (.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))))) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) n0_i)
(* 1/120 (* (pow normAngle 4) (* (pow u 5) (+ n1_i (* -1 n0_i)))))
(.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (-.f32 n1_i n0_i) (pow.f32 u #s(literal 5 binary32))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (* 1/24 (/ (* n0_i (pow normAngle 4)) u))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/24 binary32) (/.f32 (.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u) (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (-.f32 n1_i n0_i))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2)))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/12 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal -1/36 binary32))) (.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (.f32 u u)) (/.f32 (.f32 #s(literal 1/24 binary32) (*.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))) u))))
(* (pow u 5) (+ (* 1/120 (* (pow normAngle 4) (+ n1_i (* -1 n0_i)))) (+ (* 1/24 (/ (* n0_i (pow normAngle 4)) u)) (+ (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i))))))) (pow u 3)) (/ (* (pow normAngle 2) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (- (* -1/12 n0_i) (* 1/36 (+ n1_i (* -1 n0_i))))))) (pow u 2))))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 4 binary32))) (fma.f32 #s(literal 1/24 binary32) (/.f32 (.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) u) (fma.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal -1/12 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal -1/36 binary32))) (.f32 (-.f32 n1_i n0_i) #s(literal -1/6 binary32))) (.f32 u u)) (.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 u (*.f32 u u))))))))
(* -1/120 (* (pow normAngle 4) (* (pow u 5) (+ n0_i (* -1 n1_i)))))
(.f32 (.f32 #s(literal -1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (*.f32 (-.f32 n0_i n1_i) (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1/24 (/ (* n0_i (pow normAngle 4)) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 4 binary32))) (-.f32 n0_i n1_i) (/.f32 (.f32 #s(literal -1/24 binary32) (.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32)))) u)) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 (-.f32 n0_i n1_i) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (neg.f32 (.f32 normAngle normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i))) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i))) u) (.f32 #s(literal 1/24 binary32) (.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))) (neg.f32 u))) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* 2 n0_i))))))) u)) (* (pow normAngle 2) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* (pow normAngle 2) (- (* 1/12 n0_i) (* 1/36 (+ n0_i (* -1 n1_i)))))))) u)) (* 1/24 (* n0_i (pow normAngle 4)))) u)) (* 1/120 (* (pow normAngle 4) (+ n0_i (* -1 n1_i)))))))
(neg.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 (-.f32 n0_i n1_i) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 #s(literal 1/24 binary32) (.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (neg.f32 (.f32 normAngle normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) u) (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (-.f32 n0_i n1_i))) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i n1_i))))) (neg.f32 u))) (neg.f32 u)))))
(+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 n1_i u))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(fma.f32 n0_i (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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)) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 n1_i u)))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(fma.f32 n0_i (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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)) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 n1_i u)))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))))) u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))))
(fma.f32 n0_i (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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)) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 n1_i u)))
(* n0_i (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1))))))))) u))
(.f32 n0_i (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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)) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(.f32 n0_i (-.f32 (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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 (.f32 normAngle normAngle) (/.f32 (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i) (/.f32 (.f32 n1_i u) n0_i))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(.f32 n0_i (-.f32 (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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 (.f32 normAngle normAngle) (/.f32 (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i) (/.f32 (.f32 n1_i u) n0_i))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* 1/120 (- 1 u)) (* 1/36 (* (- 1 u) (- (pow (- 1 u) 2) 1)))))))) (+ (/ (* n1_i u) n0_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1))))))))) n0_i)))) u))
(.f32 n0_i (-.f32 (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32)))) (.f32 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #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 (.f32 normAngle normAngle) (/.f32 (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) n0_i) (/.f32 (.f32 n1_i u) n0_i))) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u)))))))))))
(.f32 (neg.f32 n0_i) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (.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))))) (.f32 #s(literal -1/6 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))))) (neg.f32 (-.f32 #s(literal 1 binary32) u))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))))))
(.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (.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))))) (.f32 #s(literal -1/6 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))))) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 n1_i u)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))))))
(.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (.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))))) (.f32 #s(literal -1/6 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))))) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 n1_i u)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* 1/120 (* n1_i u)) (* 1/36 (* n1_i (* u (- (pow u 2) 1)))))))))) n0_i)) (* (pow normAngle 2) (+ (* -1/6 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))) (* (pow normAngle 2) (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1/120 (- 1 u)) (* 1/36 (* (+ 1 (* -1 (pow (- 1 u) 2))) (- 1 u))))))))))))
(.f32 (neg.f32 n0_i) (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) #s(literal -1/120 binary32) (fma.f32 #s(literal 1/120 binary32) (neg.f32 u) #s(literal 1/120 binary32))) (.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))))) (.f32 #s(literal -1/6 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))))) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (.f32 n1_i u))) (.f32 #s(literal -1/36 binary32) (.f32 (.f32 n1_i u) (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (*.f32 n1_i u)) (neg.f32 n0_i))) (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))))
(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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (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)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) 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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) 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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))))) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) 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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1))))))))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) u))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))) n1_i)))))
(.f32 n1_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) 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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) n1_i) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))) n1_i)))))
(.f32 n1_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) 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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) n1_i) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* -1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* 1/120 u) (* 1/36 (* u (- (pow u 2) 1)))))))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i)))))))) n1_i)))))
(.f32 n1_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (.f32 u #s(literal -1/120 binary32))) (.f32 (.f32 #s(literal -1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) 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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) n1_i) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))))
(* -1 (* n1_i (+ (* -1 u) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u)))))))))
(.f32 (neg.f32 n1_i) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (.f32 (.f32 #s(literal 1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) u)) (.f32 (.f32 #s(literal 1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (neg.f32 u)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
(neg.f32 (.f32 n1_i (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (.f32 (.f32 #s(literal 1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) u)) (.f32 (.f32 #s(literal 1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (/.f32 (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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (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)) (neg.f32 n1_i))) u)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
(neg.f32 (.f32 n1_i (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (.f32 (.f32 #s(literal 1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) u)) (.f32 (.f32 #s(literal 1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (/.f32 (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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (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)) (neg.f32 n1_i))) u)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/36 (* (- 1 u) (- (* n0_i (pow (- 1 u) 2)) n0_i))))))))) n1_i)) (* (pow normAngle 2) (+ (* 1/6 (* u (- (pow u 2) 1))) (* (pow normAngle 2) (- (* -1/120 (pow u 5)) (+ (* -1/36 (* u (- (pow u 2) 1))) (* -1/120 u))))))))))
(neg.f32 (.f32 n1_i (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32) (.f32 (.f32 #s(literal 1/36 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (.f32 #s(literal 1/120 binary32) u)) (.f32 (.f32 #s(literal 1/6 binary32) u) (fma.f32 u u #s(literal -1 binary32)))) (/.f32 (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 1/120 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (neg.f32 u) #s(literal 1/36 binary32) #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 (fma.f32 #s(literal -1/6 binary32) (neg.f32 u) #s(literal -1/6 binary32)) (.f32 n0_i (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)) (neg.f32 n1_i))) u)))
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 -1/5040 binary32) (fma.f32 n1_i #s(literal 1/720 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 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ 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 -1/5040 binary32) (fma.f32 n1_i #s(literal 1/720 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)))))
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(* -1/6 (pow u 2))
(.f32 #s(literal -1/6 binary32) (.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* -1/6 (pow u 2))
(.f32 #s(literal -1/6 binary32) (.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1/6 binary32) (*.f32 u u)) #s(literal -1/6 binary32)))
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)))))
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (neg.f32 u) (-.f32 normAngle (/.f32 normAngle u)))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 (neg.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)
1
#s(literal 1 binary32)
(+ 1 (* -5 u))
(fma.f32 u #s(literal -5 binary32) #s(literal 1 binary32))
(+ 1 (* u (- (* 10 u) 5)))
(fma.f32 u (fma.f32 u #s(literal 10 binary32) #s(literal -5 binary32)) #s(literal 1 binary32))
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))
(fma.f32 u (fma.f32 u (fma.f32 u #s(literal -10 binary32) #s(literal 10 binary32)) #s(literal -5 binary32)) #s(literal 1 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 #s(literal 5 binary32) u) (+.f32 #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 #s(literal 10 binary32) (.f32 u (.f32 u u))) (+.f32 #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)))))
(neg.f32 (*.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))))
(* 1/120 (* n1_i (pow u 5)))
(.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(* 1/120 (* n0_i (pow (- 1 u) 5)))
(.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))
(* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))))
(.f32 n0_i (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))))
(.f32 n0_i (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(* n0_i (+ (* 1/120 (/ (* n1_i (pow u 5)) n0_i)) (* 1/120 (pow (- 1 u) 5))))
(.f32 n0_i (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(* 1/120 (* n0_i (pow (- 1 u) 5)))
(.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i (pow u 5)) n0_i)) (* -1/120 (pow (- 1 u) 5)))))
(.f32 (neg.f32 n0_i) (.f32 #s(literal -1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i (pow u 5)) n0_i)) (* -1/120 (pow (- 1 u) 5)))))
(.f32 (neg.f32 n0_i) (.f32 #s(literal -1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(* -1 (* n0_i (+ (* -1/120 (/ (* n1_i (pow u 5)) n0_i)) (* -1/120 (pow (- 1 u) 5)))))
(.f32 (neg.f32 n0_i) (.f32 #s(literal -1/120 binary32) (fma.f32 n1_i (/.f32 (pow.f32 u #s(literal 5 binary32)) n0_i) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(+ (* -1/24 (* n0_i u)) (* 1/120 n0_i))
(fma.f32 n0_i #s(literal 1/120 binary32) (.f32 #s(literal -1/24 binary32) (.f32 n0_i u)))
(+ (* 1/120 n0_i) (* u (+ (* -1/24 n0_i) (* 1/12 (* n0_i u)))))
(fma.f32 n0_i #s(literal 1/120 binary32) (.f32 u (fma.f32 #s(literal 1/12 binary32) (.f32 n0_i u) (*.f32 n0_i #s(literal -1/24 binary32)))))
(+ (* 1/120 n0_i) (* u (+ (* -1/24 n0_i) (* u (+ (* -1/12 (* n0_i u)) (* 1/12 n0_i))))))
(fma.f32 u (fma.f32 u (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i u) (.f32 n0_i #s(literal 1/12 binary32))) (.f32 n0_i #s(literal -1/24 binary32))) (.f32 n0_i #s(literal 1/120 binary32)))
(* 1/120 (* (pow u 5) (+ n1_i (* -1 n0_i))))
(.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (-.f32 n1_i n0_i))
(* (pow u 5) (+ (* 1/120 (+ n1_i (* -1 n0_i))) (* 1/24 (/ n0_i u))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 (-.f32 n1_i 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 (+ n1_i (* -1 n0_i))) (* 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 (-.f32 n1_i 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 (+ n1_i (* -1 n0_i))) (+ (* 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 (-.f32 n1_i n0_i) #s(literal 1/120 binary32) (fma.f32 #s(literal 1/12 binary32) (/.f32 n0_i (.f32 u (.f32 u u))) (/.f32 (*.f32 n0_i #s(literal 1/24 binary32)) u)))))
(* -1/120 (* (pow u 5) (+ n0_i (* -1 n1_i))))
(.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) #s(literal -1/120 binary32)) (-.f32 n0_i n1_i))
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(.f32 (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (.f32 n0_i #s(literal -1/24 binary32)) u)) (neg.f32 (pow.f32 u #s(literal 5 binary32))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1/12 (/ n0_i u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(.f32 (neg.f32 (pow.f32 u #s(literal 5 binary32))) (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (fma.f32 n0_i #s(literal 1/24 binary32) (/.f32 (.f32 n0_i #s(literal -1/12 binary32)) u)) (neg.f32 u))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/12 (/ n0_i u)) (* 1/12 n0_i)) u)) (* 1/24 n0_i)) u)) (* 1/120 (+ n0_i (* -1 n1_i))))))
(neg.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (-.f32 n0_i n1_i) (/.f32 (fma.f32 n0_i #s(literal 1/24 binary32) (/.f32 (fma.f32 (/.f32 n0_i u) #s(literal -1/12 binary32) (.f32 n0_i #s(literal 1/12 binary32))) (neg.f32 u))) (neg.f32 u)))))
(* 1/120 (* n0_i (pow (- 1 u) 5)))
(.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5))))
(.f32 #s(literal 1/120 binary32) (fma.f32 n1_i (pow.f32 u #s(literal 5 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))))
(* 1/120 (* n1_i (pow u 5)))
(.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))
(* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))
(.f32 n1_i (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))))
(* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))
(.f32 n1_i (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))))
(* n1_i (+ (* 1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* 1/120 (pow u 5))))
(.f32 n1_i (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))))
(* 1/120 (* n1_i (pow u 5)))
(.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))
(* -1 (* n1_i (+ (* -1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* -1/120 (pow u 5)))))
(.f32 (neg.f32 n1_i) (.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))))
(* -1 (* n1_i (+ (* -1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* -1/120 (pow u 5)))))
(.f32 (neg.f32 n1_i) (.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))))
(* -1 (* n1_i (+ (* -1/120 (/ (* n0_i (pow (- 1 u) 5)) n1_i)) (* -1/120 (pow u 5)))))
(.f32 (neg.f32 n1_i) (.f32 #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n1_i) (pow.f32 u #s(literal 5 binary32)))))

eval288.0ms (2%)

Memory: 6.3MiB live, 553.7MiB allocated
Compiler: Compiled 107 816 to 4 813 computations (95.5% saved)

prune478.0ms (3.3%)

Memory

-10.1MiB live, 287.3MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 716	22	1 738
Fresh	7	1	8
Picked	4	1	5
Done	0	0	0
Total	1 727	24	1 751

Accuracy

100.0%

Counts

1 751 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.9%	(fma.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (sin.f32 normAngle))) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 normAngle u)) u)))
	83.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u)))
	98.5%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	99.2%	(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 (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 u (fma.f32 #s(literal 1/12 binary32) (.f32 n0_i u) (.f32 n0_i #s(literal -1/24 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
	99.2%	(fma.f32 (.f32 normAngle normAngle) (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 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
▶	73.2%	(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
	99.5%	(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (neg.f32 n0_i))) n0_i)
▶	99.6%	(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))) n0_i)
	99.3%	(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 n0_i))) n0_i)
▶	98.5%	(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
	55.3%	(fma.f32 n0_i (neg.f32 u) n0_i)
	80.4%	(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
	78.7%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (neg.f32 n1_i) u)) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (neg.f32 n1_i) u)))))
	99.5%	(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.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 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u))))
	99.3%	(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))
	98.7%	(+.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 #s(literal 1/6 binary32)) u) n1_i))
	80.3%	(+.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))
▶	40.5%	(.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)))))
	40.9%	(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
	97.0%	(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
	40.4%	(*.f32 n1_i u)
✓	55.3%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
	55.2%	(*.f32 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
▶	42.8%	(*.f32 n0_i #s(literal 1 binary32))

Compiler

Compiled 1 299 to 722 computations (44.4% saved)

simplify812.0ms (5.6%)

Memory

28.5MiB live, 691.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 normAngle)
✓	cost-diff	0	(*.f32 n1_i normAngle)
✓	cost-diff	0	(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
✓	cost-diff	0	(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
✓	cost-diff	0	(*.f32 u u)
✓	cost-diff	0	(.f32 u (.f32 u u))
✓	cost-diff	160	(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))))
✓	cost-diff	352	(.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)))))
✓	cost-diff	0	(neg.f32 u)
✓	cost-diff	0	(fma.f32 n0_i (neg.f32 u) n0_i)
✓	cost-diff	160	(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
✓	cost-diff	160	(*.f32 n0_i #s(literal 1 binary32))
✓	cost-diff	160	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))
✓	cost-diff	192	(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
✓	cost-diff	352	(fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i)))
✓	cost-diff	352	(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 3 binary32) n0_i)))

Rules

19 348×	`lower-fma.f64`
19 326×	`lower-fma.f32`
4 110×	`lower-*.f64`
4 082×	`lower-*.f32`
3 576×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	49	479
0	98	457
1	235	436
2	779	414
3	2843	370
4	4771	356
0	8652	329

Stop Event

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

Calls

Call 1

Inputs
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))) n0_i)
u
(+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i)))
n1_i
(fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 3 binary32) n0_i)))
(fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i)))
n0_i
#s(literal 1/12 binary32)
(.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))
#s(literal -1/36 binary32)
(*.f32 #s(literal 3 binary32) n0_i)
#s(literal 3 binary32)
(.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))
#s(literal -1/6 binary32)
(fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
(fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))
#s(literal -1/24 binary32)
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
#s(literal -1/120 binary32)
(-.f32 n1_i n0_i)
(*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))
(fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))
#s(literal -2 binary32)
(neg.f32 n1_i)
(*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))
(neg.f32 n0_i)
(*.f32 n0_i #s(literal 1 binary32))
n0_i
#s(literal 1 binary32)
(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
n1_i
u
(fma.f32 n0_i (neg.f32 u) n0_i)
n0_i
(neg.f32 u)
(.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)))))
(.f32 u (.f32 u u))
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))))
n1_i
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
normAngle
#s(literal 1/6 binary32)
#s(literal 1 binary32)
(.f32 #s(literal -1/6 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))
#s(literal -1/6 binary32)
(.f32 n1_i (.f32 normAngle normAngle))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
u
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i normAngle)
n1_i
normAngle
(sin.f32 normAngle)
n0_i

Outputs
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (-.f32 (.f32 n0_i #s(literal 23/360 binary32)) (.f32 n1_i #s(literal -7/360 binary32))))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i)) n0_i)
u
(+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i)))
(fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (-.f32 (.f32 n0_i #s(literal 23/360 binary32)) (.f32 n1_i #s(literal -7/360 binary32))))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32))))) (-.f32 n1_i n0_i))
n1_i
(fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (-.f32 (.f32 n0_i #s(literal 23/360 binary32)) (.f32 n1_i #s(literal -7/360 binary32))))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (*.f32 n1_i #s(literal 1/6 binary32)))) (neg.f32 n0_i))
(*.f32 normAngle normAngle)
normAngle
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (-.f32 (.f32 n0_i #s(literal 23/360 binary32)) (.f32 n1_i #s(literal -7/360 binary32))))) (fma.f32 n0_i (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) (.f32 n1_i #s(literal 1/6 binary32))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 3 binary32) n0_i)))
(*.f32 n0_i #s(literal -1/2 binary32))
(fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i)))
#s(literal 0 binary32)
n0_i
#s(literal 1/12 binary32)
(.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))
(*.f32 n0_i #s(literal -1/12 binary32))
#s(literal -1/36 binary32)
(*.f32 #s(literal 3 binary32) n0_i)
(*.f32 n0_i #s(literal 3 binary32))
#s(literal 3 binary32)
(.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))
(*.f32 n0_i #s(literal -1/2 binary32))
#s(literal -1/6 binary32)
(fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
(fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal -1/24 binary32) (-.f32 (.f32 n0_i #s(literal 23/360 binary32)) (.f32 n1_i #s(literal -7/360 binary32))))) (.f32 n0_i #s(literal 1/3 binary32))))
(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
(fma.f32 n0_i #s(literal -1/24 binary32) (-.f32 (.f32 n0_i #s(literal 23/360 binary32)) (.f32 n1_i #s(literal -7/360 binary32))))
(fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))
(fma.f32 n1_i #s(literal -1/120 binary32) (*.f32 n0_i #s(literal -1/30 binary32)))
#s(literal -1/24 binary32)
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
#s(literal -1/120 binary32)
(-.f32 n1_i n0_i)
(*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))
(*.f32 (fma.f32 n0_i #s(literal 2 binary32) n1_i) #s(literal 1/36 binary32))
(fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))
(neg.f32 (fma.f32 n0_i #s(literal 2 binary32) n1_i))
#s(literal -2 binary32)
(neg.f32 n1_i)
(*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))
(*.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 2 binary32) n1_i))
(neg.f32 n0_i)
(*.f32 n0_i #s(literal 1 binary32))
n0_i
n0_i
#s(literal 1 binary32)
(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
n1_i
u
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 u (neg.f32 n0_i) n0_i)
n0_i
(neg.f32 u)
(.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)))))
(.f32 u (fma.f32 u (.f32 u (.f32 n1_i (.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32))))) (fma.f32 (.f32 normAngle normAngle) (*.f32 n1_i #s(literal 1/6 binary32)) n1_i)))
(.f32 u (.f32 u u))
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))))
(.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))))
n1_i
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))
(*.f32 normAngle normAngle)
normAngle
#s(literal 1/6 binary32)
#s(literal 1 binary32)
(.f32 #s(literal -1/6 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))
(.f32 n1_i (.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32))))
#s(literal -1/6 binary32)
(.f32 n1_i (.f32 normAngle normAngle))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(fma.f32 u (*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))) n0_i)
u
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n1_i normAngle)
n1_i
normAngle
(sin.f32 normAngle)
n0_i

localize465.0ms (3.2%)

Memory

-20.4MiB live, 486.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(*.f32 n1_i normAngle)
✓	accuracy	100.0%	(sin.f32 normAngle)
✓	accuracy	100.0%	(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
✓	accuracy	66.2%	(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
✓	accuracy	99.2%	(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))))
✓	accuracy	99.2%	(.f32 u (.f32 u u))
✓	accuracy	99.0%	(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
✓	accuracy	99.0%	(.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)))))
✓	accuracy	100.0%	(fma.f32 n0_i (neg.f32 u) n0_i)
✓	accuracy	100.0%	(neg.f32 u)
✓	accuracy	99.8%	(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
✓	accuracy	100.0%	(*.f32 n0_i #s(literal 1 binary32))
✓	accuracy	98.9%	(*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))
✓	accuracy	98.5%	(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
✓	accuracy	98.0%	(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
✓	accuracy	24.8%	(fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i)))

Samples

244.0ms	159×	0	valid
80.0ms	92×	1	valid
31.0ms	5×	5	exit

Compiler

Compiled 536 to 64 computations (88.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 326.0ms

ival-mult: 225.0ms (69.1% of total)

ival-sub: 31.0ms (9.5% of total)

const: 25.0ms (7.7% of total)

ival-add: 21.0ms (6.4% of total)

adjust: 12.0ms (3.7% of total)

ival-div: 4.0ms (1.2% of total)

ival-sin: 3.0ms (0.9% of total)

ival-neg: 3.0ms (0.9% of total)

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

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

exact: 0.0ms (0% of total)

series132.0ms (0.9%)

Memory

10.7MiB live, 86.2MiB allocated

Counts

19 → 468

Calls

Call 1

Inputs
#<alt (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 3 binary32) n0_i)))>
#<alt (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i)))>
#<alt (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))>
#<alt (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))>
#<alt (*.f32 n0_i #s(literal 1 binary32))>
#<alt (fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))>
#<alt (fma.f32 n0_i (neg.f32 u) n0_i)>
#<alt (neg.f32 u)>
#<alt (.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)))))>
#<alt (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))))>
#<alt (.f32 u (.f32 u u))>
#<alt (*.f32 u u)>
#<alt (fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)>
#<alt (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))>
#<alt (*.f32 n1_i normAngle)>
#<alt (sin.f32 normAngle)>
#<alt (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))>
#<alt (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))>
#<alt (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))>

Outputs
#<alt (* -1/2 n0_i)>
#<alt (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))>
#<alt (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))>
#<alt (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt (* -1/2 n0_i)>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt 0>
#<alt (+ (* -1/120 n1_i) (* 1/36 n1_i))>
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))>
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))>
#<alt (+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))>
#<alt (* 1/45 n0_i)>
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))>
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))>
#<alt (* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))>
#<alt (* 1/45 n0_i)>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))>
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))>
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))>
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))>
#<alt (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))>
#<alt (* 7/360 n1_i)>
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))>
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))>
#<alt (* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))>
#<alt (* 7/360 n1_i)>
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))>
#<alt (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))>
#<alt (+ (* -1/6 (- (* -2 n0_i) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (+ (* -1/6 (- (* -2 n0_i) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (+ (* -1/6 (- (* -2 n0_i) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))>
#<alt (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))))>
#<alt (* u (+ (* -1/2 n0_i) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) u)) (+ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) u)))))>
#<alt (* u (+ (* -1/2 n0_i) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) u)) (+ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) u)))))>
#<alt (* u (+ (* -1/2 n0_i) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) u)) (+ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) u)))))>
#<alt (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* -1 (/ (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* -1 (/ (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* -1 (/ (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) u)))))>
#<alt (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i)))>
#<alt (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))>
#<alt (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))>
#<alt (+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))>
#<alt (* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))>
#<alt (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))>
#<alt (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))>
#<alt (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))>
#<alt (+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))>
#<alt (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2)))))>
#<alt (* n0_i (+ 1/3 (+ (* -1/2 u) (+ (* 1/45 (pow normAngle 2)) (+ (* 1/6 (/ n1_i n0_i)) (/ (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))) n0_i))))))>
#<alt (* n0_i (+ 1/3 (+ (* -1/2 u) (+ (* 1/45 (pow normAngle 2)) (+ (* 1/6 (/ n1_i n0_i)) (/ (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))) n0_i))))))>
#<alt (* n0_i (+ 1/3 (+ (* -1/2 u) (+ (* 1/45 (pow normAngle 2)) (+ (* 1/6 (/ n1_i n0_i)) (/ (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))) n0_i))))))>
#<alt (* -1 (* n0_i (- (+ (* -1/45 (pow normAngle 2)) (* 1/2 u)) 1/3)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))) n0_i)) (+ (* -1/45 (pow normAngle 2)) (* 1/2 u))) 1/3)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))) n0_i)) (+ (* -1/45 (pow normAngle 2)) (* 1/2 u))) 1/3)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))) n0_i)) (+ (* -1/45 (pow normAngle 2)) (* 1/2 u))) 1/3)))>
#<alt (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))>
#<alt (+ (* 1/3 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))>
#<alt (+ (* 1/3 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))>
#<alt (+ (* 1/3 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))>
#<alt (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))>
#<alt (* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (+ (* 1/3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) n1_i) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))) n1_i))))))>
#<alt (* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (+ (* 1/3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) n1_i) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))) n1_i))))))>
#<alt (* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (+ (* 1/3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) n1_i) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))) n1_i))))))>
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#<alt (* -1 (* n1_i (- (+ (* -1 (/ (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))>
#<alt (* -1 (* n1_i (- (+ (* -1 (/ (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))>
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#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
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#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
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#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* n1_i u)>
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#<alt n0_i>
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#<alt (* -1 (* n0_i u))>
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#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt (* -1 u)>
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#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* -1 u)>
#<alt (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))>
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#<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))))>
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#<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))))>
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#<alt (* n1_i u)>
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#<alt (/ n1_i (pow u 2))>
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#<alt (* -1/6 (* n1_i (pow normAngle 2)))>
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#<alt (* -1/6 (* n1_i (pow normAngle 2)))>
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#<alt (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))>
#<alt (pow u 3)>
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#<alt (pow u 2)>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (/ (* 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>
#<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)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (sin normAngle)>
#<alt (* 1/120 n0_i)>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (* -1/120 n1_i)>
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))>
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))>
#<alt (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))>
#<alt (* -1/120 n1_i)>
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))>
#<alt (* -1/120 n1_i)>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (+ (* -1/120 n1_i) (* 1/120 n0_i))>
#<alt (* 1/120 n0_i)>
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))>
#<alt (* 1/120 n0_i)>
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))>
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))>
#<alt (* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))>
#<alt (* 1/6 n1_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/3 n0_i)>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* 1/3 n0_i)>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* 1/3 n0_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/6 n1_i)>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* 1/6 n1_i)>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (/ 1 (pow u 2))>
#<alt (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))>
#<alt (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))>
#<alt (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))>
#<alt (* 1/6 (/ (pow normAngle 2) (pow u 2)))>
#<alt (* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))>
#<alt (* 1/6 (/ (pow normAngle 2) (pow u 2)))>
#<alt (* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))>

Calls

117 calls:

Time	Variable		Point	Expression
72.0ms	n1_i	@	0	(* (* u (* u u)) (+ (* n1_i (/ (+ (* (* normAngle normAngle) 1/6) 1) (* u u))) (* -1/6 (* n1_i (* normAngle normAngle)))))
21.0ms	n0_i	@	inf	(+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))
2.0ms	n1_i	@	inf	(* (* u (* u u)) (+ (* n1_i (/ (+ (* (* normAngle normAngle) 1/6) 1) (* u u))) (* -1/6 (* n1_i (* normAngle normAngle)))))
2.0ms	u	@	0	(+ (* u (+ (* (* normAngle normAngle) (+ (* n0_i 1/12) (* -1/36 (* 3 n0_i)))) (* -1/6 (* 3 n0_i)))) (+ (* (* normAngle normAngle) (+ (+ (* n0_i -1/24) (* -1/120 (- n1_i n0_i))) (* -1/36 (+ (* n0_i -2) (neg n1_i))))) (* -1/6 (+ (* n0_i -2) (neg n1_i)))))
1.0ms	u	@	0	(* (* u (* u u)) (+ (* n1_i (/ (+ (* (* normAngle normAngle) 1/6) 1) (* u u))) (* -1/6 (* n1_i (* normAngle normAngle)))))

rewrite454.0ms (3.2%)

Memory

20.0MiB live, 1 083.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 984×	`lower-*.f64`
6 956×	`lower-*.f32`
6 060×	`lower-fma.f64`
6 038×	`lower-fma.f32`
2 816×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	199
0	88	183
1	372	174
2	3422	174
0	9273	168

Stop Event

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

Counts

19 → 625

Calls

Call 1

Inputs
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 3 binary32) n0_i)))
(fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i)))
(+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))))
(*.f32 n0_i #s(literal 1 binary32))
(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 n0_i (neg.f32 u) n0_i)
(neg.f32 u)
(.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)))))
(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))))
(.f32 u (.f32 u u))
(*.f32 u u)
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(*.f32 n1_i normAngle)
(sin.f32 normAngle)
(*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))
(*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))

Outputs
(+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32)))))
(+.f32 (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32)))) (.f32 n0_i #s(literal -1/2 binary32)))
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/12 binary32))) (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal -1/2 binary32))))
(+.f32 (fma.f32 n0_i #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/12 binary32)))) (.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal -1/12 binary32))))
(pow.f32 (/.f32 (fma.f32 normAngle (.f32 (.f32 normAngle (.f32 n0_i #s(literal 0 binary32))) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32))))) (.f32 (.f32 n0_i #s(literal -1/2 binary32)) (-.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32))))))) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 0 binary32))) (.f32 (.f32 n0_i (*.f32 n0_i n0_i)) #s(literal -1/8 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32))) (.f32 #s(literal 1/2 binary32) n0_i)) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32))) (.f32 n0_i #s(literal -1/2 binary32))) (fma.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32))) (.f32 #s(literal 1/2 binary32) n0_i)))) #s(literal -1 binary32))
(fma.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32))) (*.f32 n0_i #s(literal -1/2 binary32)))
(fma.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 1/12 binary32))) (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32))))
(fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 0 binary32)) (*.f32 n0_i #s(literal -1/2 binary32)))
(fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/12 binary32)) (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32))))
(fma.f32 n0_i #s(literal -1/2 binary32) (.f32 normAngle (.f32 normAngle (*.f32 n0_i #s(literal 0 binary32)))))
(fma.f32 n0_i (.f32 #s(literal 1/12 binary32) (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32))))
(fma.f32 #s(literal 1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32))))
(fma.f32 #s(literal 3 binary32) (.f32 n0_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32)))))
(fma.f32 (.f32 n0_i #s(literal 3 binary32)) #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32)))))
(fma.f32 (.f32 n0_i #s(literal 0 binary32)) (.f32 normAngle normAngle) (*.f32 n0_i #s(literal -1/2 binary32)))
(fma.f32 #s(literal -1/6 binary32) (.f32 n0_i #s(literal 3 binary32)) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32)))))
(fma.f32 (.f32 n0_i #s(literal -1/2 binary32)) #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32)))))
(fma.f32 (.f32 n0_i #s(literal 1/12 binary32)) (.f32 normAngle normAngle) (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32))))
(fma.f32 #s(literal -1/2 binary32) n0_i (.f32 normAngle (.f32 normAngle (*.f32 n0_i #s(literal 0 binary32)))))
(fma.f32 (.f32 normAngle (.f32 n0_i #s(literal 0 binary32))) normAngle (*.f32 n0_i #s(literal -1/2 binary32)))
(fma.f32 (.f32 (.f32 n0_i #s(literal 1/12 binary32)) normAngle) normAngle (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32))))
(fma.f32 (.f32 #s(literal -1/6 binary32) n0_i) #s(literal 3 binary32) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 0 binary32)))))
(fma.f32 (.f32 (.f32 normAngle normAngle) n0_i) #s(literal 1/12 binary32) (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32))))
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/12 binary32)) n0_i (fma.f32 #s(literal -1/12 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (*.f32 n0_i #s(literal -1/2 binary32))))
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(/.f32 (.f32 (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/216 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 1/36 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)))) (*.f32 u u)))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 1/36 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)) (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal -1 binary32)) (*.f32 u u)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) (neg.f32 (.f32 u (neg.f32 u))))
(/.f32 (neg.f32 (/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) u)) (neg.f32 u))
(/.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (*.f32 u u))
(/.f32 (.f32 (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/216 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 u u))) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 1/36 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)))))
(/.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 1/36 binary32) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (.f32 u u))) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal -1 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (*.f32 u u)))
(.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 u (neg.f32 u))))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u u)) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (.f32 u u)) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))) #s(literal -1 binary32)))
(.f32 (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) u) (/.f32 #s(literal 1 binary32) u))
(.f32 (/.f32 #s(literal 1 binary32) u) (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) u))
(.f32 (pow.f32 (/.f32 (.f32 u u) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/216 binary32)) #s(literal 1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 1/36 binary32) (-.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32))))))
(.f32 (pow.f32 (/.f32 (.f32 u u) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 1/36 binary32) #s(literal -1 binary32))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal -1 binary32))))

simplify468.0ms (3.3%)

Memory

-15.9MiB live, 780.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 644×	`lower-fma.f64`
12 644×	`lower-fma.f32`
7 120×	`lower-*.f64`
7 120×	`lower-*.f32`
3 142×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	422	5800
1	1422	5494
2	5105	5008
0	8311	4646

Stop Event

1×	iter limit
1×	node limit

Counts

468 → 448

Calls

Call 1

Inputs
(* -1/2 n0_i)
(+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
(* -1/2 n0_i)
0
0
0
0
0
0
0
0
0
0
0
0
(+ (* -1/120 n1_i) (* 1/36 n1_i))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ n1_i n0_i)))))
(* 1/45 n0_i)
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(* 7/360 n1_i)
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(* 7/360 n1_i)
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))
(+ (* -1/6 (- (* -2 n0_i) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(+ (* -1/6 (- (* -2 n0_i) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(+ (* -1/6 (- (* -2 n0_i) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))))
(* u (+ (* -1/2 n0_i) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) u)) (+ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) u)))))
(* u (+ (* -1/2 n0_i) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) u)) (+ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) u)))))
(* u (+ (* -1/2 n0_i) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) u)) (+ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) u)))))
(* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))))
(* -1 (* u (+ (* -1 (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* -1 (/ (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) u)))))
(* -1 (* u (+ (* -1 (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* -1 (/ (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) u)))))
(* -1 (* u (+ (* -1 (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* -1 (/ (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) u)))))
(+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i)))
(+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))
(+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2)))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (+ (* 1/45 (pow normAngle 2)) (+ (* 1/6 (/ n1_i n0_i)) (/ (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))) n0_i))))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (+ (* 1/45 (pow normAngle 2)) (+ (* 1/6 (/ n1_i n0_i)) (/ (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))) n0_i))))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (+ (* 1/45 (pow normAngle 2)) (+ (* 1/6 (/ n1_i n0_i)) (/ (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))) n0_i))))))
(* -1 (* n0_i (- (+ (* -1/45 (pow normAngle 2)) (* 1/2 u)) 1/3)))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))) n0_i)) (+ (* -1/45 (pow normAngle 2)) (* 1/2 u))) 1/3)))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))) n0_i)) (+ (* -1/45 (pow normAngle 2)) (* 1/2 u))) 1/3)))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))) n0_i)) (+ (* -1/45 (pow normAngle 2)) (* 1/2 u))) 1/3)))
(+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))
(+ (* 1/3 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(+ (* 1/3 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(+ (* 1/3 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (+ (* 1/3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) n1_i) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))) n1_i))))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (+ (* 1/3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) n1_i) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))) n1_i))))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (+ (* 1/3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) n1_i) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))) n1_i))))))
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
(+ n0_i (* -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)))))
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))))))
(* 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 (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- u 1)))
n0_i
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 (* n0_i u))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* 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 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))) (* 1/6 (* n1_i (pow normAngle 2))))))
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))
(* n1_i (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2))))))
(* -1 (* n1_i (* (pow u 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))) (* 1/6 (pow normAngle 2))))))
(* -1 (* n1_i (* (pow u 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))) (* 1/6 (pow normAngle 2))))))
(* -1 (* n1_i (* (pow u 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))) (* 1/6 (pow normAngle 2))))))
(* -1 (* n1_i (* (pow u 3) (+ (* -1 (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))) (* 1/6 (pow normAngle 2))))))
(* n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))))
(+ (* n1_i u) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))))
(+ (* n1_i u) (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))))
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))))
(* (pow normAngle 2) (+ (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))))
(* (pow normAngle 2) (+ (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* n1_i (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* n1_i (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* n1_i (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* n1_i (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* n1_i (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* n1_i (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* n1_i (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* -1 (* n1_i (+ (* -1 (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* -1 (* n1_i (+ (* -1 (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* -1 (* n1_i (+ (* -1 (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* -1 (* n1_i (+ (* -1 (/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(/ n1_i (pow u 2))
(+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) (/ n1_i (pow u 2)))
(+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) (/ n1_i (pow u 2)))
(+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2))))) (/ n1_i (pow u 2)))
(* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* (pow normAngle 2) (+ (* -1/6 n1_i) (+ (* 1/6 (/ n1_i (pow u 2))) (/ n1_i (* (pow normAngle 2) (pow u 2))))))
(* (pow normAngle 2) (+ (* -1/6 n1_i) (+ (* 1/6 (/ n1_i (pow u 2))) (/ n1_i (* (pow normAngle 2) (pow u 2))))))
(* (pow normAngle 2) (+ (* -1/6 n1_i) (+ (* 1/6 (/ n1_i (pow u 2))) (/ n1_i (* (pow normAngle 2) (pow u 2))))))
(* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(* (pow normAngle 2) (+ (* -1/6 n1_i) (+ (* 1/6 (/ n1_i (pow u 2))) (/ n1_i (* (pow normAngle 2) (pow u 2))))))
(* (pow normAngle 2) (+ (* -1/6 n1_i) (+ (* 1/6 (/ n1_i (pow u 2))) (/ n1_i (* (pow normAngle 2) (pow u 2))))))
(* (pow normAngle 2) (+ (* -1/6 n1_i) (+ (* 1/6 (/ n1_i (pow u 2))) (/ n1_i (* (pow normAngle 2) (pow u 2))))))
(/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) (pow u 2))
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) (pow u 2))
(/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))) (pow u 2))
(* -1/6 (* n1_i (pow normAngle 2)))
(+ (* -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))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))
(+ (* -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)))
(+ (* -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))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))
(+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 3)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
(pow u 2)
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(/ (* 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
(+ 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)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(sin normAngle)
(* 1/120 n0_i)
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(* -1/120 n1_i)
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(* -1/120 n1_i)
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(* -1/120 n1_i)
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(* 1/120 n0_i)
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(* 1/120 n0_i)
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(* 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)))
(* 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 (pow u 2))
(+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))
(+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))
(+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))
(* 1/6 (/ (pow normAngle 2) (pow u 2)))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(* 1/6 (/ (pow normAngle 2) (pow u 2)))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))

Outputs
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(*.f32 #s(literal -1/2 binary32) n0_i)
(+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(*.f32 #s(literal -1/2 binary32) n0_i)
(+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(*.f32 #s(literal -1/2 binary32) n0_i)
(* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))
#s(literal 0 binary32)
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(/.f32 (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(/.f32 (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(/.f32 (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle))
(* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))
#s(literal 0 binary32)
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(/.f32 (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(/.f32 (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle))
(* (pow normAngle 2) (+ (* -1/2 (/ n0_i (pow normAngle 2))) (+ (* -1/12 n0_i) (* 1/12 n0_i))))
(/.f32 (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle))
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
(* -1/2 n0_i)
(*.f32 #s(literal -1/2 binary32) n0_i)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
0
#s(literal 0 binary32)
(+ (* -1/120 n1_i) (* 1/36 n1_i))
(*.f32 n1_i #s(literal 7/360 binary32))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))
(+ (* -1/120 n1_i) (+ (* 1/45 n0_i) (* 1/36 n1_i)))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))
(* 1/45 n0_i)
(*.f32 n0_i #s(literal 1/45 binary32))
(* n0_i (+ 1/45 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ 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 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ 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 (+ (* -1/120 (/ n1_i n0_i)) (* 1/36 (/ 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 (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) n0_i) #s(literal 1/45 binary32)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) n0_i) #s(literal 1/45 binary32)))
(* -1 (* n0_i (- (* -1 (/ (+ (* -1/120 n1_i) (* 1/36 n1_i)) n0_i)) 1/45)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) n0_i) #s(literal 1/45 binary32)))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))
(*.f32 n0_i #s(literal 1/45 binary32))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))
(+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (+ (* 7/360 n1_i) (* 1/18 n0_i))))
(fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32)))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(*.f32 n1_i (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32)))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(*.f32 n1_i (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32)))
(* n1_i (+ 7/360 (+ (* -1/24 (/ n0_i n1_i)) (+ (* 1/120 (/ n0_i n1_i)) (* 1/18 (/ n0_i n1_i))))))
(*.f32 n1_i (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32)))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(neg.f32 (*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/45 binary32) #s(literal -7/360 binary32))))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(neg.f32 (*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/45 binary32) #s(literal -7/360 binary32))))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))) n1_i)) 7/360)))
(neg.f32 (*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/45 binary32) #s(literal -7/360 binary32))))
(+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))
(+ (* -1/6 (- (* -2 n0_i) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i u))))
(+ (* -1/6 (- (* -2 n0_i) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i u))))
(+ (* -1/6 (- (* -2 n0_i) n1_i)) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i u))))
(* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))))
(.f32 #s(literal -1/2 binary32) (.f32 n0_i u))
(* u (+ (* -1/2 n0_i) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) u)) (+ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) u)))))
(.f32 u (fma.f32 (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (/.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) u) (.f32 #s(literal -1/2 binary32) n0_i))))
(* u (+ (* -1/2 n0_i) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) u)) (+ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) u)))))
(.f32 u (fma.f32 (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (/.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) u) (.f32 #s(literal -1/2 binary32) n0_i))))
(* u (+ (* -1/2 n0_i) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) u)) (+ (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i))))) u)))))
(.f32 u (fma.f32 (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (/.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) u) (.f32 #s(literal -1/2 binary32) n0_i))))
(* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i)))))
(.f32 #s(literal -1/2 binary32) (.f32 n0_i u))
(* -1 (* u (+ (* -1 (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* -1 (/ (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) u)))))
(.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u)))
(* -1 (* u (+ (* -1 (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* -1 (/ (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) u)))))
(.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u)))
(* -1 (* u (+ (* -1 (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* -1 (/ (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (* -1/120 (- n1_i n0_i)))))) u)))))
(.f32 u (fma.f32 #s(literal -1/2 binary32) n0_i (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) u)))
(+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -2 n0_i) n1_i)))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i u)))
(+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i u))))
(+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i u))))
(+ (* -1/2 (* n0_i u)) (+ (* -1/6 (- (* -2 n0_i) n1_i)) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 #s(literal -1/2 binary32) (.f32 n0_i u))))
(* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (.f32 n0_i (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (.f32 n0_i (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (.f32 n0_i (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))))))
(* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (.f32 n0_i (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (.f32 n0_i (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))))))
(* (pow normAngle 2) (+ (* -1/2 (/ (* n0_i u) (pow normAngle 2))) (+ (* -1/6 (/ (- (* -2 n0_i) n1_i) (pow normAngle 2))) (+ (* -1/24 n0_i) (+ (* -1/36 (- (* -2 n0_i) n1_i)) (+ (* -1/120 (- n1_i n0_i)) (* u (+ (* -1/12 n0_i) (* 1/12 n0_i)))))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) (.f32 n0_i (/.f32 u (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i) (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)) #s(literal -1/36 binary32)))))))
(+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))
(+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))))
(+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))))
(+ (* 1/6 n1_i) (+ (* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2))))) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))) (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (* 1/45 (pow normAngle 2)))))
(.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (+ (* 1/45 (pow normAngle 2)) (+ (* 1/6 (/ n1_i n0_i)) (/ (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))) n0_i))))))
(.f32 n0_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) n0_i) #s(literal 1/45 binary32)) (/.f32 (*.f32 n1_i #s(literal 1/6 binary32)) n0_i)) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (+ (* 1/45 (pow normAngle 2)) (+ (* 1/6 (/ n1_i n0_i)) (/ (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))) n0_i))))))
(.f32 n0_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) n0_i) #s(literal 1/45 binary32)) (/.f32 (*.f32 n1_i #s(literal 1/6 binary32)) n0_i)) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))))
(* n0_i (+ 1/3 (+ (* -1/2 u) (+ (* 1/45 (pow normAngle 2)) (+ (* 1/6 (/ n1_i n0_i)) (/ (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i))) n0_i))))))
(.f32 n0_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 #s(literal 7/360 binary32) n0_i) #s(literal 1/45 binary32)) (/.f32 (*.f32 n1_i #s(literal 1/6 binary32)) n0_i)) (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32))))
(* -1 (* n0_i (- (+ (* -1/45 (pow normAngle 2)) (* 1/2 u)) 1/3)))
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(* -1 (* n0_i (- (+ (* -1 (/ (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))) n0_i)) (+ (* -1/45 (pow normAngle 2)) (* 1/2 u))) 1/3)))
(.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) n0_i)) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))) n0_i)) (+ (* -1/45 (pow normAngle 2)) (* 1/2 u))) 1/3)))
(.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) n0_i)) (neg.f32 n0_i))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1/120 n1_i) (* 1/36 n1_i)))) n0_i)) (+ (* -1/45 (pow normAngle 2)) (* 1/2 u))) 1/3)))
(.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/45 binary32) (fma.f32 u #s(literal 1/2 binary32) #s(literal -1/3 binary32))) (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) n0_i)) (neg.f32 n0_i))
(+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 normAngle (.f32 normAngle (*.f32 n0_i #s(literal 1/45 binary32)))))
(+ (* 1/3 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 1/45 binary32))))))
(+ (* 1/3 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 1/45 binary32))))))
(+ (* 1/3 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))))
(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)) (fma.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u #s(literal 1/3 binary32)) (.f32 normAngle (.f32 normAngle (.f32 n0_i #s(literal 1/45 binary32))))))
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (+ (* 1/3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) n1_i) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))) n1_i))))))
(.f32 n1_i (+.f32 #s(literal 1/6 binary32) (+.f32 (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) n1_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i u)) n1_i)) (.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32))))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (+ (* 1/3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) n1_i) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))) n1_i))))))
(.f32 n1_i (+.f32 #s(literal 1/6 binary32) (+.f32 (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) n1_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i u)) n1_i)) (.f32 (*.f32 normAngle normAngle) (fma.f32 #s(literal 1/45 binary32) (/.f32 n0_i n1_i) #s(literal 7/360 binary32))))))
(* n1_i (+ 1/6 (+ (* 7/360 (pow normAngle 2)) (+ (* 1/3 (/ n0_i n1_i)) (+ (/ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) n1_i) (/ (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))) n1_i))))))
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(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
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(* -1 (* n1_i (- (+ (* -1 (/ (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
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(* -1 (* n1_i (- (+ (* -1 (/ (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
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(* -1 (* n1_i (- (+ (* -1 (/ (+ (* 1/3 n0_i) (+ (* u (+ (* -1/2 n0_i) (* (pow normAngle 2) (+ (* -1/12 n0_i) (* 1/12 n0_i))))) (* (pow normAngle 2) (+ (* -1/24 n0_i) (+ (* 1/120 n0_i) (* 1/18 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
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(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(fma.f32 (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) n1_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) n1_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) n1_i))
(* -1/120 n1_i)
(*.f32 #s(literal -1/120 binary32) n1_i)
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(*.f32 n1_i (fma.f32 n0_i (/.f32 #s(literal 1/120 binary32) n1_i) #s(literal -1/120 binary32)))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(*.f32 n1_i (fma.f32 n0_i (/.f32 #s(literal 1/120 binary32) n1_i) #s(literal -1/120 binary32)))
(* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120))
(*.f32 n1_i (fma.f32 n0_i (/.f32 #s(literal 1/120 binary32) n1_i) #s(literal -1/120 binary32)))
(* -1/120 n1_i)
(*.f32 #s(literal -1/120 binary32) n1_i)
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(neg.f32 (*.f32 n1_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(neg.f32 (*.f32 n1_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32))))
(* -1 (* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i)))))
(neg.f32 (*.f32 n1_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n0_i n1_i) #s(literal 1/120 binary32))))
(* -1/120 n1_i)
(*.f32 #s(literal -1/120 binary32) n1_i)
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) n1_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) n1_i))
(+ (* -1/120 n1_i) (* 1/120 n0_i))
(fma.f32 n0_i #s(literal 1/120 binary32) (*.f32 #s(literal -1/120 binary32) n1_i))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 #s(literal -1/120 binary32) (/.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(neg.f32 (*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal 1/120 binary32) #s(literal -1/120 binary32))))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(neg.f32 (*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal 1/120 binary32) #s(literal -1/120 binary32))))
(* -1 (* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120)))
(neg.f32 (*.f32 n0_i (fma.f32 (/.f32 n1_i n0_i) #s(literal 1/120 binary32) #s(literal -1/120 binary32))))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) n0_i) #s(literal 1/3 binary32)))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) n0_i) #s(literal 1/3 binary32)))
(* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) n0_i) #s(literal 1/3 binary32)))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) n0_i) #s(literal 1/3 binary32)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) n0_i) #s(literal 1/3 binary32)))
(* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))
(*.f32 n0_i (fma.f32 n1_i (/.f32 #s(literal 1/6 binary32) n0_i) #s(literal 1/3 binary32)))
(* 1/3 n0_i)
(*.f32 n0_i #s(literal 1/3 binary32))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(+ (* 1/6 n1_i) (* 1/3 n0_i))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) n1_i) #s(literal 1/6 binary32)))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) n1_i) #s(literal 1/6 binary32)))
(* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))
(*.f32 n1_i (fma.f32 n0_i (/.f32 #s(literal 1/3 binary32) n1_i) #s(literal 1/6 binary32)))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(neg.f32 (*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32) #s(literal -1/6 binary32))))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(neg.f32 (*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32) #s(literal -1/6 binary32))))
(* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))
(neg.f32 (*.f32 n1_i (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/3 binary32) #s(literal -1/6 binary32))))
(/ 1 (pow u 2))
(/.f32 #s(literal 1 binary32) (*.f32 u u))
(+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))
(fma.f32 normAngle (.f32 normAngle (/.f32 #s(literal 1/6 binary32) (.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))
(fma.f32 normAngle (.f32 normAngle (/.f32 #s(literal 1/6 binary32) (.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))
(fma.f32 normAngle (.f32 normAngle (/.f32 #s(literal 1/6 binary32) (.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(* 1/6 (/ (pow normAngle 2) (pow u 2)))
(/.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(fma.f32 normAngle (.f32 normAngle (/.f32 #s(literal 1/6 binary32) (.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(fma.f32 normAngle (.f32 normAngle (/.f32 #s(literal 1/6 binary32) (.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(fma.f32 normAngle (.f32 normAngle (/.f32 #s(literal 1/6 binary32) (.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(* 1/6 (/ (pow normAngle 2) (pow u 2)))
(/.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 u u))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(fma.f32 normAngle (.f32 normAngle (/.f32 #s(literal 1/6 binary32) (.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(fma.f32 normAngle (.f32 normAngle (/.f32 #s(literal 1/6 binary32) (.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(* (pow normAngle 2) (+ (/ 1 (* (pow normAngle 2) (pow u 2))) (* 1/6 (/ 1 (pow u 2)))))
(fma.f32 normAngle (.f32 normAngle (/.f32 #s(literal 1/6 binary32) (.f32 u u))) (/.f32 #s(literal 1 binary32) (*.f32 u u)))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))
(/ (+ 1 (* 1/6 (pow normAngle 2))) (pow u 2))
(/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u))

eval212.0ms (1.5%)

Memory: 22.9MiB live, 331.0MiB allocated
Compiler: Compiled 76 272 to 3 947 computations (94.8% saved)

prune176.0ms (1.2%)

Memory

-25.7MiB live, 276.5MiB allocated

Pruning

27 alts after pruning (25 fresh and 2 done)

	Pruned	Kept	Total
New	1 079	14	1 093
Fresh	7	11	18
Picked	4	1	5
Done	0	1	1
Total	1 090	27	1 117

Accuracy

100.0%

Counts

1 117 → 27

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u)))
	98.5%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	99.2%	(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 (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 u (fma.f32 #s(literal 1/12 binary32) (.f32 n0_i u) (.f32 n0_i #s(literal -1/24 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
	99.2%	(fma.f32 (.f32 normAngle normAngle) (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 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
	81.2%	(fma.f32 (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 n1_i u) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))) (fma.f32 n1_i u n0_i))
	81.3%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) normAngle) normAngle (.f32 n1_i #s(literal -7/360 binary32))))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
	81.1%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
	81.2%	(fma.f32 u (fma.f32 normAngle (.f32 normAngle (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n1_i) n0_i)
▶	73.2%	(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)) n0_i)
	73.2%	(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) n0_i)
▶	73.1%	(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)
	99.3%	(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 n0_i))) n0_i)
	98.8%	(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i))) n0_i)
✓	98.5%	(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
	80.4%	(fma.f32 n1_i u n0_i)
	98.2%	(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
	55.3%	(fma.f32 n0_i (neg.f32 u) n0_i)
	80.4%	(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
▶	99.3%	(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))
▶	98.3%	(+.f32 (fma.f32 n1_i u n0_i) (*.f32 (neg.f32 n0_i) u))
	98.7%	(+.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 #s(literal 1/6 binary32)) u) n1_i))
	40.6%	(.f32 (.f32 u (.f32 u u)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) (.f32 u u)))
	40.9%	(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
	40.4%	(*.f32 n1_i u)
✓	55.3%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
	55.2%	(*.f32 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
▶	42.8%	n0_i

Compiler

Compiled 1 179 to 657 computations (44.3% saved)

simplify357.0ms (2.5%)

Memory

19.0MiB live, 556.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)
✓	cost-diff	0	(*.f32 n1_i normAngle)
✓	cost-diff	0	(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)) n0_i)
✓	cost-diff	320	(/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle))
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) normAngle) normAngle)
✓	cost-diff	0	(*.f32 n1_i normAngle)
✓	cost-diff	0	(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)
✓	cost-diff	320	(/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle))
✓	cost-diff	0	(neg.f32 n0_i)
✓	cost-diff	0	(*.f32 (neg.f32 n0_i) u)
✓	cost-diff	0	(fma.f32 n1_i u n0_i)
✓	cost-diff	224	(+.f32 (fma.f32 n1_i u n0_i) (*.f32 (neg.f32 n0_i) u))
✓	cost-diff	0	(.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u))
✓	cost-diff	0	(-.f32 n1_i n0_i)
✓	cost-diff	0	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
✓	cost-diff	224	(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))

Rules

15 648×	`lower-fma.f64`
15 630×	`lower-fma.f32`
3 984×	`lower-*.f64`
3 968×	`lower-*.f32`
1 980×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	238
0	64	227
1	131	224
2	275	223
3	652	223
4	2055	217
5	3962	217
6	6689	217
0	8046	210

Stop Event

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

Calls

Call 1

Inputs
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
n1_i
n0_i
u
(.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u))
(*.f32 normAngle normAngle)
normAngle
(.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
#s(literal 1/3 binary32)
(*.f32 n1_i #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
n0_i
(+.f32 (fma.f32 n1_i u n0_i) (*.f32 (neg.f32 n0_i) u))
(fma.f32 n1_i u n0_i)
n1_i
u
n0_i
(*.f32 (neg.f32 n0_i) u)
(neg.f32 n0_i)
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)
u
(/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle))
(*.f32 n1_i normAngle)
n1_i
normAngle
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) normAngle) normAngle)
(*.f32 normAngle normAngle)
(*.f32 #s(literal -1/6 binary32) normAngle)
#s(literal -1/6 binary32)
n0_i
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)) n0_i)
u
(/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle))
(*.f32 n1_i normAngle)
n1_i
normAngle
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))
(*.f32 normAngle normAngle)
(fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))
#s(literal -1/5040 binary32)
#s(literal 1/120 binary32)
#s(literal -1/6 binary32)
(.f32 normAngle (.f32 normAngle normAngle))
n0_i

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

localize148.0ms (1%)

Memory

-21.1MiB live, 298.9MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))
✓	accuracy	99.9%	(fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))
✓	accuracy	99.8%	(.f32 normAngle (.f32 normAngle normAngle))
✓	accuracy	65.8%	(/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle))
✓	accuracy	100.0%	(*.f32 n1_i normAngle)
✓	accuracy	100.0%	(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)
✓	accuracy	99.0%	(*.f32 #s(literal -1/6 binary32) normAngle)
✓	accuracy	65.8%	(/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle))
✓	accuracy	100.0%	(fma.f32 n1_i u n0_i)
✓	accuracy	100.0%	(*.f32 (neg.f32 n0_i) u)
✓	accuracy	100.0%	(neg.f32 n0_i)
✓	accuracy	99.7%	(+.f32 (fma.f32 n1_i u n0_i) (*.f32 (neg.f32 n0_i) u))
✓	accuracy	99.7%	(.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u))
✓	accuracy	99.4%	(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
✓	accuracy	99.2%	(.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)
✓	accuracy	99.0%	(*.f32 n1_i #s(literal 1/6 binary32))

Samples

91.0ms	254×	0	valid
2.0ms	2×	5	exit

Compiler

Compiled 265 to 43 computations (83.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 76.0ms

ival-mult: 27.0ms (35.5% of total)

const: 18.0ms (23.7% of total)

ival-add: 15.0ms (19.7% of total)

ival-sub: 9.0ms (11.8% of total)

ival-div: 4.0ms (5.3% of total)

adjust: 1.0ms (1.3% of total)

ival-neg: 1.0ms (1.3% of total)

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

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

series46.0ms (0.3%)

Memory

22.3MiB live, 100.4MiB allocated

Counts

22 → 576

Calls

Call 1

Inputs
#<alt (+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))>
#<alt (fma.f32 (-.f32 n1_i n0_i) u n0_i)>
#<alt (-.f32 n1_i n0_i)>
#<alt (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u))>
#<alt (+.f32 (fma.f32 n1_i u n0_i) (*.f32 (neg.f32 n0_i) u))>
#<alt (fma.f32 n1_i u n0_i)>
#<alt (*.f32 (neg.f32 n0_i) u)>
#<alt (neg.f32 n0_i)>
#<alt (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle))>
#<alt (fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)>
#<alt (*.f32 n1_i normAngle)>
#<alt (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) normAngle) normAngle)>
#<alt (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle))>
#<alt (fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)) n0_i)>
#<alt (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)>
#<alt (*.f32 n1_i #s(literal 1/6 binary32))>
#<alt (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)>
#<alt (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))>
#<alt (*.f32 #s(literal -1/6 binary32) normAngle)>
#<alt (.f32 normAngle (.f32 normAngle normAngle))>
#<alt (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))>
#<alt (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))>

Outputs
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u)))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))>
#<alt (* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))>
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i)))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- 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))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* -1 (* n0_i (- u 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (* u (- n1_i n0_i))>
#<alt (* u (- (+ n1_i (/ n0_i u)) n0_i))>
#<alt (* u (- (+ n1_i (/ n0_i u)) n0_i))>
#<alt (* u (- (+ n1_i (/ n0_i u)) n0_i))>
#<alt (* u (- n1_i n0_i))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u)))))>
#<alt (* -1 n0_i)>
#<alt (- n1_i n0_i)>
#<alt (- n1_i n0_i)>
#<alt (- n1_i n0_i)>
#<alt n1_i>
#<alt (* n1_i (+ 1 (* -1 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1 (* -1 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1 (* -1 (/ n0_i n1_i))))>
#<alt n1_i>
#<alt (* -1 (* n1_i (- (/ n0_i n1_i) 1)))>
#<alt (* -1 (* n1_i (- (/ n0_i n1_i) 1)))>
#<alt (* -1 (* n1_i (- (/ n0_i n1_i) 1)))>
#<alt n1_i>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (* -1 n0_i)>
#<alt (* n0_i (- (/ n1_i n0_i) 1))>
#<alt (* n0_i (- (/ n1_i n0_i) 1))>
#<alt (* n0_i (- (/ n1_i n0_i) 1))>
#<alt (* -1 n0_i)>
#<alt (* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))>
#<alt (* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))>
#<alt (* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* 1/6 (* n1_i (* (pow normAngle 2) u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))>
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/3 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/3 (* (pow normAngle 2) u))))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/3 (* (pow normAngle 2) u))))>
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* n0_i (+ (* -1/3 (* (pow normAngle 2) u)) (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 (* (pow normAngle 2) u)) (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 (* (pow normAngle 2) u)) (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)))))>
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))>
#<alt (* 1/6 (* n1_i (* (pow normAngle 2) u)))>
#<alt (* n1_i (+ (* 1/6 (* (pow normAngle 2) u)) (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))>
#<alt (* n1_i (+ (* 1/6 (* (pow normAngle 2) u)) (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))>
#<alt (* n1_i (+ (* 1/6 (* (pow normAngle 2) u)) (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))>
#<alt (* 1/6 (* n1_i (* (pow normAngle 2) u)))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_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 (* n1_i u)>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i u))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i u) n0_i))))>
#<alt (* -1 (* n0_i (- u 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i u) n0_i))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -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 (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* n1_i u)>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt n1_i>
#<alt (+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* 1/36 (* n1_i (pow normAngle 2))) (* -1/6 n1_i))))>
#<alt (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/216 (* n1_i (pow normAngle 2))) (* -1/36 n1_i))) (* -1/6 n1_i))))>
#<alt (* -6 (/ n1_i (pow normAngle 2)))>
#<alt (/ (+ (* -36 (/ n1_i (pow normAngle 2))) (* -6 n1_i)) (pow normAngle 2))>
#<alt (/ (- (+ (* -216 (/ n1_i (pow normAngle 4))) (* -6 n1_i)) (* 36 (/ n1_i (pow normAngle 2)))) (pow normAngle 2))>
#<alt (/ (- (+ (* -1296 (/ n1_i (pow normAngle 6))) (* -6 n1_i)) (+ (* 36 (/ n1_i (pow normAngle 2))) (* 216 (/ n1_i (pow normAngle 4))))) (pow normAngle 2))>
#<alt (* -6 (/ n1_i (pow normAngle 2)))>
#<alt (/ (+ (* -36 (/ n1_i (pow normAngle 2))) (* -6 n1_i)) (pow normAngle 2))>
#<alt (/ (+ (* -216 (/ n1_i (pow normAngle 4))) (+ (* -36 (/ n1_i (pow normAngle 2))) (* -6 n1_i))) (pow normAngle 2))>
#<alt (/ (+ (* -1296 (/ n1_i (pow normAngle 6))) (+ (* -216 (/ n1_i (pow normAngle 4))) (+ (* -36 (/ n1_i (pow normAngle 2))) (* -6 n1_i)))) (pow normAngle 2))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* 1/36 (* n1_i (* (pow normAngle 2) u))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/216 (* n1_i (* (pow normAngle 2) u))) (* -1/36 (* n1_i u)))) (* -1/6 (* n1_i u))))))>
#<alt n0_i>
#<alt (+ n0_i (* -6 (/ (* n1_i u) (pow normAngle 2))))>
#<alt (+ n0_i (+ (* -36 (/ (* n1_i u) (pow normAngle 4))) (* -6 (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (- (+ n0_i (+ (* -216 (/ (* n1_i u) (pow normAngle 6))) (* -6 (/ (* n1_i u) (pow normAngle 2))))) (* 36 (/ (* n1_i u) (pow normAngle 4))))>
#<alt n0_i>
#<alt (+ n0_i (* -6 (/ (* n1_i u) (pow normAngle 2))))>
#<alt (+ n0_i (+ (* -36 (/ (* n1_i u) (pow normAngle 4))) (* -6 (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (+ n0_i (+ (* -216 (/ (* n1_i u) (pow normAngle 6))) (+ (* -36 (/ (* n1_i u) (pow normAngle 4))) (* -6 (/ (* n1_i u) (pow normAngle 2))))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))) 1)))>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* -1/6 (pow normAngle 3))>
#<alt (* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))>
#<alt (* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))>
#<alt (* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))>
#<alt (* -1/6 (pow normAngle 3))>
#<alt (* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))>
#<alt (* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))>
#<alt (* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<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 (* -5040 (/ n1_i (pow normAngle 6)))>
#<alt (/ (+ (* -211680 (/ n1_i (pow normAngle 2))) (* -5040 n1_i)) (pow normAngle 6))>
#<alt (/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -4233600 n1_i) (* 8890560 n1_i)) (pow normAngle 4)))) (* 211680 (/ n1_i (pow normAngle 2)))) (pow normAngle 6))>
#<alt (/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -177811200 n1_i) (+ (* 42 (+ (* -4233600 n1_i) (* 8890560 n1_i))) (* 25401600 n1_i))) (pow normAngle 6)))) (+ (* -4233600 (/ n1_i (pow normAngle 4))) (+ (* 211680 (/ n1_i (pow normAngle 2))) (* 8890560 (/ n1_i (pow normAngle 4)))))) (pow normAngle 6))>
#<alt (* -5040 (/ n1_i (pow normAngle 6)))>
#<alt (/ (+ (* -211680 (/ n1_i (pow normAngle 2))) (* -5040 n1_i)) (pow normAngle 6))>
#<alt (/ (+ (* -8890560 (/ n1_i (pow normAngle 4))) (+ (* -211680 (/ n1_i (pow normAngle 2))) (+ (* -5040 n1_i) (* 4233600 (/ n1_i (pow normAngle 4)))))) (pow normAngle 6))>
#<alt (/ (+ (* -25401600 (/ n1_i (pow normAngle 6))) (+ (* -8890560 (/ n1_i (pow normAngle 4))) (+ (* -211680 (/ n1_i (pow normAngle 2))) (+ (* -5040 n1_i) (+ (* 42 (/ (+ (* -8890560 n1_i) (* 4233600 n1_i)) (pow normAngle 6))) (+ (* 4233600 (/ n1_i (pow normAngle 4))) (* 177811200 (/ n1_i (pow normAngle 6))))))))) (pow normAngle 6))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))>
#<alt (* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt n0_i>
#<alt (+ n0_i (* -5040 (/ (* n1_i u) (pow normAngle 6))))>
#<alt (+ n0_i (+ (* -211680 (/ (* n1_i u) (pow normAngle 8))) (* -5040 (/ (* n1_i u) (pow normAngle 6)))))>
#<alt (- (+ n0_i (+ (* -5040 (/ (* n1_i u) (pow normAngle 6))) (* -1 (/ (+ (* -4233600 (* n1_i u)) (* 8890560 (* n1_i u))) (pow normAngle 10))))) (* 211680 (/ (* n1_i u) (pow normAngle 8))))>
#<alt n0_i>
#<alt (+ n0_i (* -5040 (/ (* n1_i u) (pow normAngle 6))))>
#<alt (+ n0_i (+ (* -211680 (/ (* n1_i u) (pow normAngle 8))) (* -5040 (/ (* n1_i u) (pow normAngle 6)))))>
#<alt (+ n0_i (+ (* -8890560 (/ (* n1_i u) (pow normAngle 10))) (+ (* -211680 (/ (* n1_i u) (pow normAngle 8))) (+ (* -5040 (/ (* n1_i u) (pow normAngle 6))) (* 4233600 (/ (* n1_i u) (pow normAngle 10)))))))>
#<alt (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) 1)))>
#<alt normAngle>
#<alt (* normAngle (+ 1 (* -1/6 (pow normAngle 2))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))>
#<alt (* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))>
#<alt (* -1/5040 (pow normAngle 7))>
#<alt (* (pow normAngle 7) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))>
#<alt (* (pow normAngle 7) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))>
#<alt (* (pow normAngle 7) (- (+ (* 1/120 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 6))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))>
#<alt (* -1/5040 (pow normAngle 7))>
#<alt (* -1 (* (pow normAngle 7) (- 1/5040 (* 1/120 (/ 1 (pow normAngle 2))))))>
#<alt (* -1 (* (pow normAngle 7) (- (+ 1/5040 (/ 1/6 (pow normAngle 4))) (* 1/120 (/ 1 (pow normAngle 2))))))>
#<alt (* -1 (* (pow normAngle 7) (- (+ 1/5040 (/ 1/6 (pow normAngle 4))) (+ (* 1/120 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 6))))))>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 n1_i)>
#<alt (* 1/6 (* n1_i u))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* 1/3 (* n0_i u))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))>
#<alt (* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))>
#<alt (* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (* 1/6 n1_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/3 n0_i)>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* n0_i (+ 1/3 (* 1/6 (/ n1_i n0_i))))>
#<alt (* 1/3 n0_i)>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* -1 (* n0_i (- (* -1/6 (/ n1_i n0_i)) 1/3)))>
#<alt (* 1/3 n0_i)>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (+ (* 1/6 n1_i) (* 1/3 n0_i))>
#<alt (* 1/6 n1_i)>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* n1_i (+ 1/6 (* 1/3 (/ n0_i n1_i))))>
#<alt (* 1/6 n1_i)>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1 (* n1_i (- (* -1/3 (/ n0_i n1_i)) 1/6)))>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (* -1/6 normAngle)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt (pow normAngle 3)>
#<alt 1/120>
#<alt (+ 1/120 (* -1/5040 (pow normAngle 2)))>
#<alt (+ 1/120 (* -1/5040 (pow normAngle 2)))>
#<alt (+ 1/120 (* -1/5040 (pow normAngle 2)))>
#<alt (* -1/5040 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))>
#<alt (* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))>
#<alt (* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))>
#<alt (* -1/5040 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))>
#<alt (* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))>
#<alt (* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))>
#<alt -1/6>
#<alt (- (* 1/120 (pow normAngle 2)) 1/6)>
#<alt (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)>
#<alt (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)>
#<alt (* -1/5040 (pow normAngle 4))>
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))>
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))>
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))>
#<alt (* -1/5040 (pow normAngle 4))>
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))>
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))>
#<alt (* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))>

Calls

144 calls:

Time	Variable		Point	Expression
3.0ms	normAngle	@	-inf	(/ (* n1_i normAngle) (+ (* (* normAngle normAngle) (* -1/6 normAngle)) normAngle))
2.0ms	normAngle	@	0	(* -1/6 normAngle)
2.0ms	n1_i	@	0	(/ (* n1_i normAngle) (+ (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) -1/5040) 1/120)) -1/6) (* normAngle (* normAngle normAngle))) normAngle))
1.0ms	n1_i	@	0	(/ (* n1_i normAngle) (+ (* (* normAngle normAngle) (* -1/6 normAngle)) normAngle))
1.0ms	normAngle	@	-inf	(/ (* n1_i normAngle) (+ (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) -1/5040) 1/120)) -1/6) (* normAngle (* normAngle normAngle))) normAngle))

rewrite666.0ms (4.6%)

Memory

-129.3MiB live, 876.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 776×	`lower-fma.f64`
6 758×	`lower-fma.f32`
5 486×	`lower-*.f64`
5 470×	`lower-*.f32`
4 352×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	204
0	64	193
1	283	190
2	2332	190
0	9646	186

Stop Event

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

Counts

22 → 641

Calls

Call 1

Inputs
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(-.f32 n1_i n0_i)
(.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u))
(+.f32 (fma.f32 n1_i u n0_i) (*.f32 (neg.f32 n0_i) u))
(fma.f32 n1_i u n0_i)
(*.f32 (neg.f32 n0_i) u)
(neg.f32 n0_i)
(/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle))
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)
(*.f32 n1_i normAngle)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) normAngle) normAngle)
(/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle))
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)
(*.f32 n1_i #s(literal 1/6 binary32))
(.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
(*.f32 #s(literal -1/6 binary32) normAngle)
(.f32 normAngle (.f32 normAngle normAngle))
(fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))

Outputs
(+.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))))
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+.f32 (.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 u (.f32 normAngle normAngle)) n0_i))
(+.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)) n0_i) (.f32 (-.f32 n1_i n0_i) u))
(+.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)) (.f32 (-.f32 n1_i n0_i) u)) n0_i)
(pow.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (.f32 (.f32 (.f32 normAngle normAngle) (.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 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))) (.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (-.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))))) #s(literal -1 binary32))
(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 u (*.f32 normAngle normAngle)) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (*.f32 normAngle normAngle)) n0_i))
(fma.f32 u (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (fma.f32 (-.f32 n1_i n0_i) u 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))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (*.f32 normAngle normAngle)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (.f32 (.f32 (-.f32 n1_i n0_i) u) (.f32 u (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) u))))) (/.f32 #s(literal 1 binary32) (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 n1_i n0_i) u)) (.f32 u (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) u))))) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 (fma.f32 (fma.f32 n1_i u n0_i) (.f32 (fma.f32 n1_i u n0_i) (fma.f32 n1_i u n0_i)) (.f32 (.f32 u (.f32 u u)) (neg.f32 (.f32 n0_i (.f32 n0_i n0_i))))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 u (neg.f32 n0_i)) (-.f32 (.f32 u (neg.f32 n0_i)) (fma.f32 n1_i u n0_i)) (.f32 (fma.f32 n1_i u n0_i) (fma.f32 n1_i u n0_i)))) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u (neg.f32 n0_i))) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 n1_i n0_i) u (neg.f32 n0_i))) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (+.f32 (fma.f32 n1_i u n0_i) (.f32 n0_i u))) (/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 n1_i u n0_i) (.f32 n0_i u))) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))))
(fma.f32 (.f32 (.f32 normAngle normAngle) (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))
(fma.f32 (.f32 normAngle (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) normAngle (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(-.f32 (/.f32 (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (-.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))))) (/.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.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 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))) (-.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))))))
(-.f32 (/.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.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 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (/.f32 (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))))
(-.f32 (/.f32 (.f32 u (.f32 (-.f32 n1_i n0_i) (.f32 (-.f32 n1_i n0_i) u))) (-.f32 (.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 u (.f32 normAngle normAngle)) n0_i))) (/.f32 (.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)) n0_i) (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)) n0_i)) (-.f32 (.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 u (.f32 normAngle normAngle)) n0_i))))
(/.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (.f32 (.f32 (.f32 normAngle normAngle) (.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 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))))) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))))
(/.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (.f32 (.f32 (.f32 normAngle normAngle) (.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 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))))) (fma.f32 normAngle (.f32 (.f32 normAngle (.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 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))) (-.f32 (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (.f32 (.f32 (.f32 normAngle normAngle) (.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 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))) (.f32 (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (-.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (fma.f32 (-.f32 n1_i n0_i) u n0_i)) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))) (.f32 (.f32 (.f32 normAngle normAngle) (.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 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))))))))
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(/.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) #s(literal 1/6 binary32))) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) #s(literal 1/6 binary32)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) #s(literal 1/6 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))) (.f32 (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))) (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))))) #s(literal -1/216 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)))) #s(literal 1/36 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)))) #s(literal -1/36 binary32)))) (neg.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))))))) (neg.f32 (-.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))))))
(/.f32 (fma.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal -1/128024064000 binary32))) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (pow.f32 (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)))) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)))) (-.f32 (.f32 (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)))) (fma.f32 normAngle (*.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))
(/.f32 (+.f32 (pow.f32 (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32))))) #s(literal 3 binary32)) (.f32 #s(literal 1/1728000 binary32) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))))) (fma.f32 (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32))))) (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32))))) (-.f32 (.f32 (.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32))) (.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)))) (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32))))) (.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)))))))
(.f32 (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))) (.f32 (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))) (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))))) #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)))) #s(literal 1/36 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) #s(literal -1/6 binary32))))))
(.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)))) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)) #s(literal 1/6 binary32))))

simplify410.0ms (2.9%)

Memory

6.9MiB live, 626.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 804×	`lower-fma.f64`
12 804×	`lower-fma.f32`
7 242×	`lower-*.f64`
7 242×	`lower-*.f32`
2 894×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	548	6921
1	1747	6725
2	5615	6657
0	8191	6088

Stop Event

1×	iter limit
1×	node limit

Counts

576 → 550

Calls

Call 1

Inputs
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u)))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
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))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i)))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- 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))))))
(+ 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)))))
(+ 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)))))
(* (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))))
(* (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))))
(* (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))))
(* (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))))
(* 1/6 (* n1_i (* (pow normAngle 2) u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))
(* 1/3 (* n0_i (* (pow normAngle 2) u)))
(* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/3 (* (pow normAngle 2) u))))
(* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/3 (* (pow normAngle 2) u))))
(* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* 1/3 (* (pow normAngle 2) u))))
(* 1/3 (* n0_i (* (pow normAngle 2) u)))
(* -1 (* n0_i (+ (* -1/3 (* (pow normAngle 2) u)) (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 (* (pow normAngle 2) u)) (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 (* (pow normAngle 2) u)) (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)))))
(* 1/3 (* n0_i (* (pow normAngle 2) u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* 1/3 (* n0_i (* (pow normAngle 2) u))))
(* 1/6 (* n1_i (* (pow normAngle 2) u)))
(* n1_i (+ (* 1/6 (* (pow normAngle 2) u)) (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))
(* n1_i (+ (* 1/6 (* (pow normAngle 2) u)) (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))
(* n1_i (+ (* 1/6 (* (pow normAngle 2) u)) (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i))))
(* 1/6 (* n1_i (* (pow normAngle 2) u)))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* -1/6 (* (pow normAngle 2) u)))))
(* (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))))
(* (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))))
(* (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))))
(* (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 (* -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)))))
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))))))
(* 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 (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* n1_i u)
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
n0_i
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 (* n0_i u))
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
(/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(+ n1_i (* (pow normAngle 2) (- (* 1/36 (* n1_i (pow normAngle 2))) (* -1/6 n1_i))))
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/216 (* n1_i (pow normAngle 2))) (* -1/36 n1_i))) (* -1/6 n1_i))))
(* -6 (/ n1_i (pow normAngle 2)))
(/ (+ (* -36 (/ n1_i (pow normAngle 2))) (* -6 n1_i)) (pow normAngle 2))
(/ (- (+ (* -216 (/ n1_i (pow normAngle 4))) (* -6 n1_i)) (* 36 (/ n1_i (pow normAngle 2)))) (pow normAngle 2))
(/ (- (+ (* -1296 (/ n1_i (pow normAngle 6))) (* -6 n1_i)) (+ (* 36 (/ n1_i (pow normAngle 2))) (* 216 (/ n1_i (pow normAngle 4))))) (pow normAngle 2))
(* -6 (/ n1_i (pow normAngle 2)))
(/ (+ (* -36 (/ n1_i (pow normAngle 2))) (* -6 n1_i)) (pow normAngle 2))
(/ (+ (* -216 (/ n1_i (pow normAngle 4))) (+ (* -36 (/ n1_i (pow normAngle 2))) (* -6 n1_i))) (pow normAngle 2))
(/ (+ (* -1296 (/ n1_i (pow normAngle 6))) (+ (* -216 (/ n1_i (pow normAngle 4))) (+ (* -36 (/ n1_i (pow normAngle 2))) (* -6 n1_i)))) (pow normAngle 2))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* -1/6 (pow normAngle 3))))))))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* -1/6 (pow normAngle 3))))))))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* 1/36 (* n1_i (* (pow normAngle 2) u))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/216 (* n1_i (* (pow normAngle 2) u))) (* -1/36 (* n1_i u)))) (* -1/6 (* n1_i u))))))
n0_i
(+ n0_i (* -6 (/ (* n1_i u) (pow normAngle 2))))
(+ n0_i (+ (* -36 (/ (* n1_i u) (pow normAngle 4))) (* -6 (/ (* n1_i u) (pow normAngle 2)))))
(- (+ n0_i (+ (* -216 (/ (* n1_i u) (pow normAngle 6))) (* -6 (/ (* n1_i u) (pow normAngle 2))))) (* 36 (/ (* n1_i u) (pow normAngle 4))))
n0_i
(+ n0_i (* -6 (/ (* n1_i u) (pow normAngle 2))))
(+ n0_i (+ (* -36 (/ (* n1_i u) (pow normAngle 4))) (* -6 (/ (* n1_i u) (pow normAngle 2)))))
(+ n0_i (+ (* -216 (/ (* n1_i u) (pow normAngle 6))) (+ (* -36 (/ (* n1_i u) (pow normAngle 4))) (* -6 (/ (* n1_i u) (pow normAngle 2))))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))) 1)))
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* -1/6 (pow normAngle 3))
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))
(* -1/6 (pow normAngle 3))
(* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))
(* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))
(* -1 (* (pow normAngle 3) (- 1/6 (/ 1 (pow normAngle 2)))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
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))))
(* -5040 (/ n1_i (pow normAngle 6)))
(/ (+ (* -211680 (/ n1_i (pow normAngle 2))) (* -5040 n1_i)) (pow normAngle 6))
(/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -4233600 n1_i) (* 8890560 n1_i)) (pow normAngle 4)))) (* 211680 (/ n1_i (pow normAngle 2)))) (pow normAngle 6))
(/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -177811200 n1_i) (+ (* 42 (+ (* -4233600 n1_i) (* 8890560 n1_i))) (* 25401600 n1_i))) (pow normAngle 6)))) (+ (* -4233600 (/ n1_i (pow normAngle 4))) (+ (* 211680 (/ n1_i (pow normAngle 2))) (* 8890560 (/ n1_i (pow normAngle 4)))))) (pow normAngle 6))
(* -5040 (/ n1_i (pow normAngle 6)))
(/ (+ (* -211680 (/ n1_i (pow normAngle 2))) (* -5040 n1_i)) (pow normAngle 6))
(/ (+ (* -8890560 (/ n1_i (pow normAngle 4))) (+ (* -211680 (/ n1_i (pow normAngle 2))) (+ (* -5040 n1_i) (* 4233600 (/ n1_i (pow normAngle 4)))))) (pow normAngle 6))
(/ (+ (* -25401600 (/ n1_i (pow normAngle 6))) (+ (* -8890560 (/ n1_i (pow normAngle 4))) (+ (* -211680 (/ n1_i (pow normAngle 2))) (+ (* -5040 n1_i) (+ (* 42 (/ (+ (* -8890560 n1_i) (* 4233600 n1_i)) (pow normAngle 6))) (+ (* 4233600 (/ n1_i (pow normAngle 4))) (* 177811200 (/ n1_i (pow normAngle 6))))))))) (pow normAngle 6))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
n0_i
(+ n0_i (* -5040 (/ (* n1_i u) (pow normAngle 6))))
(+ n0_i (+ (* -211680 (/ (* n1_i u) (pow normAngle 8))) (* -5040 (/ (* n1_i u) (pow normAngle 6)))))
(- (+ n0_i (+ (* -5040 (/ (* n1_i u) (pow normAngle 6))) (* -1 (/ (+ (* -4233600 (* n1_i u)) (* 8890560 (* n1_i u))) (pow normAngle 10))))) (* 211680 (/ (* n1_i u) (pow normAngle 8))))
n0_i
(+ n0_i (* -5040 (/ (* n1_i u) (pow normAngle 6))))
(+ n0_i (+ (* -211680 (/ (* n1_i u) (pow normAngle 8))) (* -5040 (/ (* n1_i u) (pow normAngle 6)))))
(+ n0_i (+ (* -8890560 (/ (* n1_i u) (pow normAngle 10))) (+ (* -211680 (/ (* n1_i u) (pow normAngle 8))) (+ (* -5040 (/ (* n1_i u) (pow normAngle 6))) (* 4233600 (/ (* n1_i u) (pow normAngle 10)))))))
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) 1)))
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(* -1/5040 (pow normAngle 7))
(* (pow normAngle 7) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
(* (pow normAngle 7) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))
(* (pow normAngle 7) (- (+ (* 1/120 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 6))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))
(* -1/5040 (pow normAngle 7))
(* -1 (* (pow normAngle 7) (- 1/5040 (* 1/120 (/ 1 (pow normAngle 2))))))
(* -1 (* (pow normAngle 7) (- (+ 1/5040 (/ 1/6 (pow normAngle 4))) (* 1/120 (/ 1 (pow normAngle 2))))))
(* -1 (* (pow normAngle 7) (- (+ 1/5040 (/ 1/6 (pow normAngle 4))) (+ (* 1/120 (/ 1 (pow normAngle 2))) (/ 1 (pow normAngle 6))))))
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 n1_i)
(* 1/6 (* n1_i u))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(* 1/3 (* n0_i u))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (* 1/3 u)))
(* 1/3 (* n0_i u))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/3 u) (* -1/6 (/ (* n1_i u) n0_i)))))
(* 1/3 (* n0_i u))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(+ (* 1/6 (* n1_i u)) (* 1/3 (* n0_i u)))
(* 1/6 (* n1_i u))
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))
(* n1_i (+ (* 1/6 u) (* 1/3 (/ (* n0_i u) n1_i))))
(* 1/6 (* n1_i u))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (* -1/6 u))))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(* 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)))
(* 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 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(* -1/6 normAngle)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
(pow normAngle 3)
1/120
(+ 1/120 (* -1/5040 (pow normAngle 2)))
(+ 1/120 (* -1/5040 (pow normAngle 2)))
(+ 1/120 (* -1/5040 (pow normAngle 2)))
(* -1/5040 (pow normAngle 2))
(* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
(* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
(* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
(* -1/5040 (pow normAngle 2))
(* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
(* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
(* (pow normAngle 2) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
-1/6
(- (* 1/120 (pow normAngle 2)) 1/6)
(- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)
(- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)
(* -1/5040 (pow normAngle 4))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))
(* -1/5040 (pow normAngle 4))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))

Outputs
(+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u)))))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(.f32 n1_i (+.f32 u (+.f32 (fma.f32 n0_i (.f32 (/.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 1/3 binary32)) (.f32 (.f32 u (*.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(.f32 n1_i (+.f32 u (+.f32 (fma.f32 n0_i (.f32 (/.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 1/3 binary32)) (.f32 (.f32 u (*.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (+ (* 1/3 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (/ n0_i n1_i))))))
(.f32 n1_i (+.f32 u (+.f32 (fma.f32 n0_i (.f32 (/.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 1/3 binary32)) (.f32 (.f32 u (*.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(.f32 (-.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (/.f32 (fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i) n1_i)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(.f32 (-.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (/.f32 (fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i) n1_i)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* 1/3 (* n0_i (* (pow normAngle 2) u))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(.f32 (-.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (/.f32 (fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i) n1_i)) (neg.f32 n1_i))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))) (* n1_i u)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u)))))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(fma.f32 n0_i (fma.f32 n1_i (.f32 (/.f32 (.f32 u (.f32 normAngle normAngle)) n0_i) #s(literal 1/6 binary32)) (-.f32 (fma.f32 u (/.f32 n1_i n0_i) (.f32 u (.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle)))) u)) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(fma.f32 n0_i (fma.f32 n1_i (.f32 (/.f32 (.f32 u (.f32 normAngle normAngle)) n0_i) #s(literal 1/6 binary32)) (-.f32 (fma.f32 u (/.f32 n1_i n0_i) (.f32 u (.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle)))) u)) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* 1/3 (* (pow normAngle 2) u)) (/ (* n1_i u) n0_i))))))
(fma.f32 n0_i (fma.f32 n1_i (.f32 (/.f32 (.f32 u (.f32 normAngle normAngle)) n0_i) #s(literal 1/6 binary32)) (-.f32 (fma.f32 u (/.f32 n1_i n0_i) (.f32 u (.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle)))) u)) n0_i)
(* -1 (* n0_i (- (+ u (* -1/3 (* (pow normAngle 2) u))) 1)))
(fma.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32)) u) (neg.f32 n0_i) n0_i)
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(fma.f32 (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u)) (neg.f32 n0_i))) (neg.f32 n0_i) n0_i)
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(fma.f32 (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u)) (neg.f32 n0_i))) (neg.f32 n0_i) n0_i)
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/3 (* (pow normAngle 2) u)))) 1)))
(fma.f32 (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u)) (neg.f32 n0_i))) (neg.f32 n0_i) n0_i)
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) n0_i))
(.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))
(.f32 u (+.f32 n1_i (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i))))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))
(.f32 u (+.f32 n1_i (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i))))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (/ n0_i u))) n0_i))
(.f32 u (+.f32 n1_i (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i))))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (* -1 (- n1_i n0_i)))))
(.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))
(* -1 (* u (+ (* -1 (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))) (+ (* -1 (- n1_i n0_i)) (* -1 (/ n0_i u))))))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) (/.f32 (*.f32 n0_i u) u))
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(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n0_i)
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(+ n0_i (* -6 (/ (* n1_i u) (pow normAngle 2))))
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n0_i
(+ n0_i (* -6 (/ (* n1_i u) (pow normAngle 2))))
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(/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3))))
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(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(fma.f32 n1_i (.f32 (/.f32 normAngle (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) u) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(fma.f32 n1_i (.f32 (/.f32 normAngle (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) u) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* -1/6 (pow normAngle 3)))))
(fma.f32 n1_i (.f32 (/.f32 normAngle (fma.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) u) n0_i)
n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))))
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(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))))
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n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))) 1)))
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(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* -1/6 (pow normAngle 3)))))) 1)))
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(* n1_i normAngle)
(*.f32 normAngle n1_i)
(* n1_i normAngle)
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(* n1_i normAngle)
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(* n1_i normAngle)
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(* n1_i normAngle)
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(* n1_i normAngle)
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(* n1_i normAngle)
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(* n1_i normAngle)
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(* n1_i normAngle)
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(* n1_i normAngle)
(*.f32 normAngle n1_i)
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)
(* -1/6 (pow normAngle 3))
(.f32 normAngle (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))
(.f32 (.f32 normAngle (.f32 normAngle normAngle)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 normAngle normAngle))))
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))
(.f32 (.f32 normAngle (.f32 normAngle normAngle)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 normAngle normAngle))))
(* (pow normAngle 3) (- (/ 1 (pow normAngle 2)) 1/6))
(.f32 (.f32 normAngle (.f32 normAngle normAngle)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1 binary32) (.f32 normAngle normAngle))))
(* -1/6 (pow normAngle 3))
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(.f32 (.f32 normAngle normAngle) (neg.f32 (.f32 normAngle (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1 binary32) (.f32 normAngle normAngle))))))
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(/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
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(/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
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(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
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(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
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(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
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(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
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(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
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(/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
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n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(fma.f32 normAngle (.f32 normAngle (.f32 n1_i #s(literal 1/6 binary32))) n1_i)
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(+ 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))))
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(* -5040 (/ n1_i (pow normAngle 6)))
(*.f32 n1_i (/.f32 #s(literal -5040 binary32) (pow.f32 normAngle #s(literal 6 binary32))))
(/ (+ (* -211680 (/ n1_i (pow normAngle 2))) (* -5040 n1_i)) (pow normAngle 6))
(/.f32 (fma.f32 (/.f32 n1_i (.f32 normAngle normAngle)) #s(literal -211680 binary32) (.f32 n1_i #s(literal -5040 binary32))) (pow.f32 normAngle #s(literal 6 binary32)))
(/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -4233600 n1_i) (* 8890560 n1_i)) (pow normAngle 4)))) (* 211680 (/ n1_i (pow normAngle 2)))) (pow normAngle 6))
(/.f32 (fma.f32 (/.f32 n1_i (.f32 normAngle normAngle)) #s(literal -211680 binary32) (fma.f32 n1_i #s(literal -5040 binary32) (/.f32 (.f32 n1_i #s(literal -4656960 binary32)) (.f32 (.f32 normAngle normAngle) (*.f32 normAngle normAngle))))) (pow.f32 normAngle #s(literal 6 binary32)))
(/ (- (+ (* -5040 n1_i) (* -1 (/ (+ (* -177811200 n1_i) (+ (* 42 (+ (* -4233600 n1_i) (* 8890560 n1_i))) (* 25401600 n1_i))) (pow normAngle 6)))) (+ (* -4233600 (/ n1_i (pow normAngle 4))) (+ (* 211680 (/ n1_i (pow normAngle 2))) (* 8890560 (/ n1_i (pow normAngle 4)))))) (pow normAngle 6))
(/.f32 (-.f32 (fma.f32 n1_i #s(literal -5040 binary32) (/.f32 (fma.f32 n1_i #s(literal 25401600 binary32) (fma.f32 n1_i #s(literal -177811200 binary32) (.f32 n1_i #s(literal 195592320 binary32)))) (neg.f32 (pow.f32 normAngle #s(literal 6 binary32))))) (fma.f32 n1_i (/.f32 #s(literal 8890560 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 #s(literal -4233600 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (/.f32 (.f32 n1_i #s(literal 211680 binary32)) (*.f32 normAngle normAngle))))) (pow.f32 normAngle #s(literal 6 binary32)))
(* -5040 (/ n1_i (pow normAngle 6)))
(*.f32 n1_i (/.f32 #s(literal -5040 binary32) (pow.f32 normAngle #s(literal 6 binary32))))
(/ (+ (* -211680 (/ n1_i (pow normAngle 2))) (* -5040 n1_i)) (pow normAngle 6))
(/.f32 (fma.f32 (/.f32 n1_i (.f32 normAngle normAngle)) #s(literal -211680 binary32) (.f32 n1_i #s(literal -5040 binary32))) (pow.f32 normAngle #s(literal 6 binary32)))
(/ (+ (* -8890560 (/ n1_i (pow normAngle 4))) (+ (* -211680 (/ n1_i (pow normAngle 2))) (+ (* -5040 n1_i) (* 4233600 (/ n1_i (pow normAngle 4)))))) (pow normAngle 6))
(/.f32 (fma.f32 n1_i (/.f32 #s(literal -8890560 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 #s(literal 4233600 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (fma.f32 (/.f32 n1_i (.f32 normAngle normAngle)) #s(literal -211680 binary32) (.f32 n1_i #s(literal -5040 binary32))))) (pow.f32 normAngle #s(literal 6 binary32)))
(/ (+ (* -25401600 (/ n1_i (pow normAngle 6))) (+ (* -8890560 (/ n1_i (pow normAngle 4))) (+ (* -211680 (/ n1_i (pow normAngle 2))) (+ (* -5040 n1_i) (+ (* 42 (/ (+ (* -8890560 n1_i) (* 4233600 n1_i)) (pow normAngle 6))) (+ (* 4233600 (/ n1_i (pow normAngle 4))) (* 177811200 (/ n1_i (pow normAngle 6))))))))) (pow normAngle 6))
(/.f32 (fma.f32 (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32))) #s(literal -25401600 binary32) (fma.f32 n1_i (/.f32 #s(literal -8890560 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (fma.f32 n1_i #s(literal -5040 binary32) (fma.f32 (/.f32 n1_i (.f32 normAngle normAngle)) #s(literal -211680 binary32) (fma.f32 n1_i (/.f32 #s(literal 4233600 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))) (fma.f32 (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32))) #s(literal 177811200 binary32) (/.f32 (.f32 #s(literal 42 binary32) (*.f32 n1_i #s(literal -4656960 binary32))) (pow.f32 normAngle #s(literal 6 binary32))))))))) (pow.f32 normAngle #s(literal 6 binary32)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(fma.f32 u (/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(fma.f32 u (/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(fma.f32 u (/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(.f32 u (fma.f32 normAngle (/.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i u)))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(.f32 u (fma.f32 normAngle (/.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i u)))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(.f32 u (fma.f32 normAngle (/.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i u)))
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(.f32 u (fma.f32 normAngle (/.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i u)))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(.f32 u (fma.f32 normAngle (/.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i u)))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(.f32 u (fma.f32 normAngle (/.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i u)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(fma.f32 u (/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(fma.f32 u (/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(fma.f32 u (/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(.f32 n1_i (fma.f32 u (/.f32 normAngle (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i n1_i)))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(.f32 n1_i (fma.f32 u (/.f32 normAngle (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i n1_i)))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))
(.f32 n1_i (fma.f32 u (/.f32 normAngle (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i n1_i)))
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(.f32 n1_i (fma.f32 u (/.f32 normAngle (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i n1_i)))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(.f32 n1_i (fma.f32 u (/.f32 normAngle (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i n1_i)))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))))))
(.f32 n1_i (fma.f32 u (/.f32 normAngle (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) (/.f32 n0_i n1_i)))
(+ n0_i (* n1_i u))
(fma.f32 u n1_i n0_i)
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n0_i)
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(fma.f32 u n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 n1_i #s(literal 1/6 binary32)) (.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 7/360 binary32))) n0_i))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 n1_i #s(literal 1/840 binary32)) (.f32 (.f32 u n1_i) #s(literal -7/2160 binary32))) (.f32 (.f32 u n1_i) #s(literal -7/360 binary32)))) (.f32 #s(literal 1/6 binary32) (.f32 u n1_i))) (fma.f32 u n1_i n0_i))
n0_i
(+ n0_i (* -5040 (/ (* n1_i u) (pow normAngle 6))))
(fma.f32 (*.f32 u (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32)))) #s(literal -5040 binary32) n0_i)
(+ n0_i (+ (* -211680 (/ (* n1_i u) (pow normAngle 8))) (* -5040 (/ (* n1_i u) (pow normAngle 6)))))
(fma.f32 n1_i (.f32 (/.f32 u (pow.f32 normAngle #s(literal 6 binary32))) #s(literal -5040 binary32)) (fma.f32 (.f32 n1_i #s(literal -211680 binary32)) (/.f32 u (pow.f32 normAngle #s(literal 8 binary32))) n0_i))
(- (+ n0_i (+ (* -5040 (/ (* n1_i u) (pow normAngle 6))) (* -1 (/ (+ (* -4233600 (* n1_i u)) (* 8890560 (* n1_i u))) (pow normAngle 10))))) (* 211680 (/ (* n1_i u) (pow normAngle 8))))
(fma.f32 n1_i (.f32 (/.f32 u (pow.f32 normAngle #s(literal 8 binary32))) #s(literal -211680 binary32)) (fma.f32 (neg.f32 (.f32 u n1_i)) (/.f32 #s(literal 4656960 binary32) (pow.f32 normAngle #s(literal 10 binary32))) (fma.f32 (*.f32 u (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32)))) #s(literal -5040 binary32) n0_i)))
n0_i
(+ n0_i (* -5040 (/ (* n1_i u) (pow normAngle 6))))
(fma.f32 (*.f32 u (/.f32 n1_i (pow.f32 normAngle #s(literal 6 binary32)))) #s(literal -5040 binary32) n0_i)
(+ n0_i (+ (* -211680 (/ (* n1_i u) (pow normAngle 8))) (* -5040 (/ (* n1_i u) (pow normAngle 6)))))
(fma.f32 n1_i (.f32 (/.f32 u (pow.f32 normAngle #s(literal 6 binary32))) #s(literal -5040 binary32)) (fma.f32 (.f32 n1_i #s(literal -211680 binary32)) (/.f32 u (pow.f32 normAngle #s(literal 8 binary32))) n0_i))
(+ n0_i (+ (* -8890560 (/ (* n1_i u) (pow normAngle 10))) (+ (* -211680 (/ (* n1_i u) (pow normAngle 8))) (+ (* -5040 (/ (* n1_i u) (pow normAngle 6))) (* 4233600 (/ (* n1_i u) (pow normAngle 10)))))))
(+.f32 (fma.f32 n1_i (.f32 (/.f32 u (pow.f32 normAngle #s(literal 6 binary32))) #s(literal -5040 binary32)) (fma.f32 (.f32 n1_i #s(literal -211680 binary32)) (/.f32 u (pow.f32 normAngle #s(literal 8 binary32))) (/.f32 (.f32 (.f32 u n1_i) #s(literal 4233600 binary32)) (pow.f32 normAngle #s(literal 10 binary32))))) (fma.f32 (*.f32 n1_i #s(literal -8890560 binary32)) (/.f32 u (pow.f32 normAngle #s(literal 10 binary32))) n0_i))
(/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(fma.f32 u (/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(fma.f32 u (/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))
(fma.f32 u (/.f32 (.f32 normAngle n1_i) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle)) n0_i)
n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))))
(fma.f32 n0_i (/.f32 (.f32 normAngle (.f32 u n1_i)) (.f32 n0_i (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i)
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))))
(fma.f32 n0_i (/.f32 (.f32 normAngle (.f32 u n1_i)) (.f32 n0_i (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i)
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))))
(fma.f32 n0_i (/.f32 (.f32 normAngle (.f32 u n1_i)) (.f32 n0_i (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) normAngle))) n0_i)
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (+ normAngle (* (pow normAngle 3) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6)))))) 1)))
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normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
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(.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) (-.f32 (+.f32 #s(literal -1/5040 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)))))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))
(.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) (-.f32 (+.f32 #s(literal -1/5040 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)))))
(* -1/5040 (pow normAngle 4))
(.f32 normAngle (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) 1/5040))
(.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) (+.f32 #s(literal -1/5040 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 normAngle normAngle))))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))
(.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) (-.f32 (+.f32 #s(literal -1/5040 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)))))
(* (pow normAngle 4) (- (* 1/120 (/ 1 (pow normAngle 2))) (+ 1/5040 (/ 1/6 (pow normAngle 4)))))
(.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) (-.f32 (+.f32 #s(literal -1/5040 binary32) (/.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle))) (/.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)))))

eval125.0ms (0.9%)

Memory: 23.3MiB live, 264.6MiB allocated
Compiler: Compiled 39 707 to 2 610 computations (93.4% saved)

prune147.0ms (1%)

Memory

7.9MiB live, 285.8MiB allocated

Pruning

29 alts after pruning (24 fresh and 5 done)

	Pruned	Kept	Total
New	1 207	10	1 217
Fresh	6	14	20
Picked	2	3	5
Done	0	2	2
Total	1 215	29	1 244

Accuracy

100.0%

Counts

1 244 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	83.0%	(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u)))
	98.5%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	99.2%	(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 (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 u (fma.f32 #s(literal 1/12 binary32) (.f32 n0_i u) (.f32 n0_i #s(literal -1/24 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
	99.2%	(fma.f32 (.f32 normAngle normAngle) (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 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
	81.2%	(fma.f32 (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 n1_i u) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))) (fma.f32 n1_i u n0_i))
	98.3%	(fma.f32 (neg.f32 n0_i) u (fma.f32 n1_i u n0_i))
	81.3%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) normAngle) normAngle (.f32 n1_i #s(literal -7/360 binary32))))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
	81.1%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
	81.2%	(fma.f32 u (fma.f32 normAngle (.f32 normAngle (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n1_i) n0_i)
✓	73.2%	(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)) n0_i)
	73.2%	(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) n0_i)
✓	73.1%	(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)
	99.3%	(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
	98.8%	(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i))) n0_i)
	80.4%	(fma.f32 u n1_i n0_i)
✓	98.5%	(fma.f32 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
	98.2%	(fma.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (neg.f32 u)) n0_i)
	55.4%	(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
	55.3%	(fma.f32 n0_i (neg.f32 u) n0_i)
	80.4%	(fma.f32 n0_i #s(literal 1 binary32) (*.f32 u n1_i))
	98.7%	(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal 1/3 binary32)) u)))
	98.5%	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	98.7%	(+.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 #s(literal 1/6 binary32)) u) n1_i))
	40.6%	(.f32 (.f32 u (.f32 u u)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) (.f32 u u)))
	40.4%	(*.f32 u n1_i)
	40.9%	(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
✓	55.3%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
	55.2%	(*.f32 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
✓	42.8%	n0_i

Compiler

Compiled 1 841 to 626 computations (66% saved)

regimes90.0ms (0.6%)

Memory

-33.0MiB live, 137.0MiB allocated

Counts

60 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 u n1_i)
(fma.f32 n1_i u n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.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 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 (neg.f32 n0_i) u (fma.f32 n1_i u n0_i))
(+.f32 (fma.f32 n1_i u n0_i) (*.f32 (neg.f32 n0_i) u))
(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(fma.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (neg.f32 u)) n0_i)
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal 1/3 binary32)) u)))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n1_i) n0_i)
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 n1_i u) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))) (fma.f32 n1_i u n0_i))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i))) n0_i)
(.f32 (.f32 u (.f32 u u)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) (.f32 u u)))
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) n0_i)
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) normAngle) normAngle (.f32 n1_i #s(literal -7/360 binary32))))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)) n0_i)
(.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)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (neg.f32 n1_i) u)) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (neg.f32 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)))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (neg.f32 n0_i))) n0_i)
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.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 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u))))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(fma.f32 u (/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/120 binary32) (.f32 u (fma.f32 #s(literal 1/12 binary32) (.f32 n0_i u) (.f32 n0_i #s(literal -1/24 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i)))
(.f32 (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 n0_i (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
(+.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 #s(literal 1/6 binary32)) u) n1_i))
(fma.f32 (/.f32 (neg.f32 n0_i) (neg.f32 (sin.f32 normAngle))) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (*.f32 normAngle u)) u)))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) (.f32 n1_i (fma.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (.f32 normAngle (.f32 normAngle u)) u)))
(+.f32 (.f32 (.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 #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)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(+.f32 (.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 #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))
(fma.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Outputs

(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (*.f32 #s(literal -1/36 binary32) (*.f32 #s(literal 3 binary32) n0_i))) (*.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))) n0_i)

Calls

5 calls:

21.0ms	normAngle
19.0ms	u
17.0ms	(+.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))
16.0ms	n1_i
15.0ms	n0_i

Results

Accuracy	Segments	Branch
99.6%	1	`normAngle`
99.6%	1	`u`
99.6%	1	`n0_i`
99.6%	1	`n1_i`
99.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes96.0ms (0.7%)

Memory

13.1MiB live, 87.9MiB allocated

Counts

40 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 u n1_i)
(fma.f32 n1_i u n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.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 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 (neg.f32 n0_i) u (fma.f32 n1_i u n0_i))
(+.f32 (fma.f32 n1_i u n0_i) (*.f32 (neg.f32 n0_i) u))
(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(fma.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (neg.f32 u)) n0_i)
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal 1/3 binary32)) u)))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n1_i) n0_i)
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 n1_i u) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))) (fma.f32 n1_i u n0_i))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i))) n0_i)
(.f32 (.f32 u (.f32 u u)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) (.f32 u u)))
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) n0_i)
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) normAngle) normAngle (.f32 n1_i #s(literal -7/360 binary32))))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)) n0_i)
(.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)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (neg.f32 n1_i) u)) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (neg.f32 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)))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (neg.f32 n0_i))) n0_i)
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.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 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u))))

Outputs

(fma.f32 u (+.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (*.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (neg.f32 n0_i))) n0_i)

Calls

5 calls:

34.0ms	n0_i
29.0ms	u
11.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
11.0ms	n1_i
10.0ms	normAngle

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)

regimes57.0ms (0.4%)

Memory

19.3MiB live, 99.2MiB allocated

Counts

38 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n0_i #s(literal 1 binary32))
(*.f32 n1_i u)
(*.f32 u n1_i)
(fma.f32 n1_i u n0_i)
(fma.f32 u n1_i n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.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 n1_i u (fma.f32 n0_i (neg.f32 u) n0_i))
(fma.f32 (neg.f32 n0_i) u (fma.f32 n1_i u n0_i))
(+.f32 (fma.f32 n1_i u n0_i) (*.f32 (neg.f32 n0_i) u))
(.f32 n1_i (fma.f32 u (.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32)) u))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u))
(fma.f32 n0_i (.f32 u (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) n0_i)
(*.f32 n1_i (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(fma.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (neg.f32 u)) n0_i)
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(.f32 n1_i (fma.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal 1/3 binary32)) u)))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (fma.f32 normAngle (.f32 normAngle (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) n1_i) n0_i)
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) normAngle) normAngle)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (neg.f32 (.f32 (.f32 n1_i u) (fma.f32 (.f32 normAngle normAngle) #s(literal -7/360 binary32) #s(literal -1/6 binary32)))) (fma.f32 n1_i u n0_i))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i (fma.f32 #s(literal -1/2 binary32) u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)))) (neg.f32 n0_i))) n0_i)
(.f32 (.f32 u (.f32 u u)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) (.f32 u u)))
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 normAngle (.f32 normAngle #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) n0_i)
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) normAngle) normAngle (.f32 n1_i #s(literal -7/360 binary32))))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i)
(fma.f32 u (/.f32 (.f32 n1_i normAngle) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)) n0_i)
(.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)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (neg.f32 n1_i) u)) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (neg.f32 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)))

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

Calls

5 calls:

14.0ms	n0_i
12.0ms	n1_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	u
10.0ms	normAngle

Results

Accuracy	Segments	Branch
99.3%	1	`normAngle`
99.3%	1	`u`
99.3%	1	`n0_i`
99.3%	1	`n1_i`
99.3%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes47.0ms (0.3%)

Memory

-17.9MiB live, 89.7MiB allocated

Counts

26 → 1

Calls

Call 1

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

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

Calls

5 calls:

10.0ms	n1_i
10.0ms	n0_i
10.0ms	normAngle
8.0ms	(+.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

Results

Accuracy	Segments	Branch
99.3%	1	`normAngle`
99.3%	1	`u`
99.3%	1	`n0_i`
99.3%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
99.3%	1	`n1_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes37.0ms (0.3%)

Memory

25.9MiB live, 72.7MiB allocated

Counts

21 → 1

Calls

Call 1

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

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

Calls

5 calls:

12.0ms	n0_i
6.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
6.0ms	u
6.0ms	normAngle
6.0ms	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)

regimes20.0ms (0.1%)

Memory

-29.2MiB live, 45.8MiB allocated

Counts

7 → 2

Calls

Call 1

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

Outputs
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 n1_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))
5.0ms	normAngle
3.0ms	n0_i
3.0ms	n1_i
3.0ms	u

Results

Accuracy	Segments	Branch
80.4%	1	`normAngle`
80.4%	1	`u`
83.7%	2	`n0_i`
80.4%	1	`n1_i`
80.4%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes5.0ms (0%)

Memory

11.2MiB live, 11.2MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f32 n1_i u n0_i)

Calls

2 calls:

3.0ms	n0_i
2.0ms	normAngle

Results

Accuracy	Segments	Branch
80.4%	1	`normAngle`
80.4%	1	`n0_i`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes11.0ms (0.1%)

Memory

22.7MiB live, 22.7MiB allocated

Counts

4 → 3

Calls

Call 1

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

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	normAngle
2.0ms	n0_i
2.0ms	u
2.0ms	n1_i

Results

Accuracy	Segments	Branch
51.8%	2	`u`
62.9%	3	`n0_i`
59.5%	3	`n1_i`
46.9%	2	`(+.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))`
42.8%	1	`normAngle`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes9.0ms (0.1%)

Memory

-23.9MiB live, 14.7MiB 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

4 calls:

4.0ms	n0_i
2.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
1.0ms	n1_i
1.0ms	u

Results

Accuracy	Segments	Branch
42.8%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
42.8%	1	`u`
42.8%	1	`n1_i`
42.8%	1	`n0_i`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	-3.2311988640287836e-9	-2.6106183881324796e-9

Compiler

Compiled 32 to 24 computations (25% 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	7.049797730944969e-19	8.118718775589322e-19
0.0ms	-7.5888236658177e-25	-2.9062049900317316e-25

Compiler

Compiled 32 to 24 computations (25% saved)

simplify8.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	167
1	82	167
2	90	167
3	93	167

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (neg.f32 n0_i))) n0_i)
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n0_i #s(literal -13510799/4503599627370496 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 n1_i u n0_i))
(fma.f32 n1_i u n0_i)
(if (<=.f32 n0_i #s(literal -10141205/20282409603651670423947251286016 binary32)) n0_i (if (<=.f32 n0_i #s(literal 7737125/9671406556917033397649408 binary32)) (*.f32 n1_i u) n0_i))
n0_i

Outputs
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 #s(literal 3 binary32) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 #s(literal 3 binary32) n0_i))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/12 binary32) (.f32 #s(literal -1/36 binary32) (.f32 n0_i #s(literal 3 binary32)))) (.f32 (.f32 n0_i #s(literal 3 binary32)) #s(literal -1/6 binary32))) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i))))) (neg.f32 n0_i))) n0_i)
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 n0_i #s(literal -1/24 binary32) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/36 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal -2 binary32) (neg.f32 n1_i)))) (neg.f32 n0_i))) n0_i)
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) u)))
(+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))))))
(fma.f32 u (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n0_i #s(literal -13510799/4503599627370496 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (fma.f32 n1_i u n0_i))
(fma.f32 n1_i u n0_i)
(if (<=.f32 n0_i #s(literal -10141205/20282409603651670423947251286016 binary32)) n0_i (if (<=.f32 n0_i #s(literal 7737125/9671406556917033397649408 binary32)) (*.f32 n1_i u) n0_i))
(if (<=.f32 n0_i #s(literal -10141205/20282409603651670423947251286016 binary32)) n0_i (if (<=.f32 n0_i #s(literal 7737125/9671406556917033397649408 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness1.1s (7.8%)

Memory

-7.4MiB live, 906.4MiB allocated

Rules

12 804×	`lower-fma.f64`
12 804×	`lower-fma.f32`
12 644×	`lower-fma.f64`
12 644×	`lower-fma.f32`
12 022×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	199
0	88	183
1	372	174
2	3422	174
0	9273	168
0	548	6921
1	1747	6725
2	5615	6657
0	8191	6088
0	1100	13747
1	3848	13236
0	8148	12557
0	422	5800
1	1422	5494
2	5105	5008
0	8311	4646
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 349 to 189 computations (45.8% saved)

preprocess143.0ms (1%)

Memory: -1.3MiB live, 119.5MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 766 to 336 computations (56.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze375.0ms (2.6%)

sample3.9s (26.8%)

preprocess139.0ms (1%)

explain286.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (0.5%)

localize57.0ms (0.4%)

series34.0ms (0.2%)

rewrite340.0ms (2.4%)

simplify434.0ms (3%)

eval96.0ms (0.7%)

prune54.0ms (0.4%)

simplify377.0ms (2.6%)

localize309.0ms (2.1%)

series118.0ms (0.8%)

rewrite378.0ms (2.6%)

simplify438.0ms (3%)

eval288.0ms (2%)

prune478.0ms (3.3%)

simplify812.0ms (5.6%)

localize465.0ms (3.2%)

series132.0ms (0.9%)

rewrite454.0ms (3.2%)

simplify468.0ms (3.3%)

eval212.0ms (1.5%)

prune176.0ms (1.2%)

simplify357.0ms (2.5%)

localize148.0ms (1%)

series46.0ms (0.3%)

rewrite666.0ms (4.6%)

simplify410.0ms (2.9%)

eval125.0ms (0.9%)

prune147.0ms (1%)

regimes90.0ms (0.6%)

regimes96.0ms (0.7%)

regimes57.0ms (0.4%)

regimes47.0ms (0.3%)

regimes37.0ms (0.3%)

regimes20.0ms (0.1%)

regimes5.0ms (0%)

regimes11.0ms (0.1%)

regimes9.0ms (0.1%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify8.0ms (0.1%)

soundness1.1s (7.8%)

preprocess143.0ms (1%)

end0.0ms (0%)

Profiling