Metrics for Curve intersection, scale width based on ribbon orientation

analyze385.0ms (2.4%)

Memory

41.8MiB live, 434.2MiB 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)

sample3.4s (20.9%)

Memory

44.7MiB live, 4 674.5MiB allocated

Samples

2.1s	8 256×	0	valid
702.0ms	1 999×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.0s

ival-sin: 563.0ms (28.6% of total)

ival-mult: 417.0ms (21.2% of total)

ival-<=: 274.0ms (13.9% of total)

const: 250.0ms (12.7% of total)

ival-div: 196.0ms (10% of total)

ival-sub: 93.0ms (4.7% of total)

ival-and: 54.0ms (2.7% of total)

ival-add: 48.0ms (2.4% of total)

ival-pi: 44.0ms (2.2% of total)

exact: 23.0ms (1.2% of total)

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

Bogosity

preprocess162.0ms (1%)

Memory

-6.9MiB live, 112.9MiB allocated

Algorithm

2×	egg-herbie

Rules

1 400×	`unsub-neg`
1 012×	`times-frac`
832×	`accelerator-lowering-fma.f32`
832×	`accelerator-lowering-fma.f64`
736×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	107	389
1	281	319
2	743	302
3	1992	271
4	3435	270
5	6426	270
0	17	25
1	36	21
2	76	20
3	144	18
4	191	18
5	226	18
6	270	18
7	355	18
8	499	18
9	600	18
10	740	18
11	1182	18
12	1891	18
13	2299	18
14	2318	18
15	2319	18
16	2319	18
0	2319	17

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

Outputs

(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

(/.f32 (fma.f32 (sin.f32 (fma.f32 u normAngle #s(literal 0 binary32))) n1_i (fma.f32 (sin.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) normAngle #s(literal 0 binary32))) n0_i #s(literal 0 binary32))) (sin.f32 normAngle))

Call 2

Inputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i))
(+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i)))
(neg (+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i)))
(neg (+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i)))
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)))
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i))))
(+ (* (* (sin (* (- 1 normAngle) u)) (/ 1 (sin u))) n0_i) (* (* (sin (* normAngle u)) (/ 1 (sin u))) n1_i))
(+ (* (* (sin (* (- 1 u) n0_i)) (/ 1 (sin n0_i))) normAngle) (* (* (sin (* u n0_i)) (/ 1 (sin n0_i))) n1_i))
(+ (* (* (sin (* (- 1 u) n1_i)) (/ 1 (sin n1_i))) n0_i) (* (* (sin (* u n1_i)) (/ 1 (sin n1_i))) normAngle))
(+ (* (* (sin (* (- 1 n0_i) normAngle)) (/ 1 (sin normAngle))) u) (* (* (sin (* n0_i normAngle)) (/ 1 (sin normAngle))) n1_i))
(+ (* (* (sin (* (- 1 n1_i) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* n1_i normAngle)) (/ 1 (sin normAngle))) u))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n1_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n0_i))

Outputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (+ (* (sin (* u normAngle)) n1_i) (* (sin (- normAngle (* u normAngle))) n0_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i))
(/ (+ (* (sin (* u normAngle)) n1_i) (* (sin (- normAngle (* u normAngle))) n0_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (- (* n0_i (sin (+ normAngle (* u normAngle)))) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (+ (* (sin (* u normAngle)) n1_i) (* n0_i (sin (- (* u normAngle) normAngle)))) (sin normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i)))
(/ (- (* (sin (- normAngle (* u normAngle))) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(neg (+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i)))
(/ (- (* n0_i (sin (- (* u normAngle) normAngle))) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(neg (+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i)))
(/ (- (* (sin (* u normAngle)) n1_i) (* n0_i (sin (+ normAngle (* u normAngle))))) (sin normAngle))
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)))
(/ (- (* (sin (- normAngle (* u normAngle))) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i))))
(/ (+ (* (sin (* u normAngle)) n1_i) (* n0_i (sin (- (* u normAngle) normAngle)))) (sin normAngle))
(+ (* (* (sin (* (- 1 normAngle) u)) (/ 1 (sin u))) n0_i) (* (* (sin (* normAngle u)) (/ 1 (sin u))) n1_i))
(/ (+ (* n0_i (sin (- u (* u normAngle)))) (* (sin (* u normAngle)) n1_i)) (sin u))
(+ (* (* (sin (* (- 1 u) n0_i)) (/ 1 (sin n0_i))) normAngle) (* (* (sin (* u n0_i)) (/ 1 (sin n0_i))) n1_i))
(/ (+ (* n1_i (sin (* u n0_i))) (* normAngle (sin (- n0_i (* u n0_i))))) (sin n0_i))
(+ (* (* (sin (* (- 1 u) n1_i)) (/ 1 (sin n1_i))) n0_i) (* (* (sin (* u n1_i)) (/ 1 (sin n1_i))) normAngle))
(/ (+ (* normAngle (sin (* u n1_i))) (* n0_i (sin (- n1_i (* u n1_i))))) (sin n1_i))
(+ (* (* (sin (* (- 1 n0_i) normAngle)) (/ 1 (sin normAngle))) u) (* (* (sin (* n0_i normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (+ (* u (sin (- normAngle (* normAngle n0_i)))) (* n1_i (sin (* normAngle n0_i)))) (sin normAngle))
(+ (* (* (sin (* (- 1 n1_i) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* n1_i normAngle)) (/ 1 (sin normAngle))) u))
(/ (+ (* u (sin (* normAngle n1_i))) (* n0_i (sin (* normAngle (- 1 n1_i))))) (sin normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n1_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n0_i))
(/ (+ (* (sin (- normAngle (* u normAngle))) n1_i) (* n0_i (sin (* u normAngle)))) (sin normAngle))

Symmetry

(abs normAngle)

explain220.0ms (1.3%)

Memory

23.1MiB live, 379.3MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
18	-	16	(2.1219240468752545e-38 0.00035481364466249943 5.7597816896818796e-15 -0.6272986531257629)	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)`
0	-	0	-	`(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))`
0	-	0	-	`(*.f32 u normAngle)`
0	-	0	-	`n1_i`
0	-	0	-	`(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)`
0	-	0	-	`n0_i`
0	-	0	-	`normAngle`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u)`
0	-	0	-	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(sin.f32 (*.f32 u normAngle))`
0	-	0	-	`u`
0	-	0	-	`(sin.f32 normAngle)`
0	-	0	-	`(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))`

Explanations

Click to see full explanations table

Operator	Subexpression	Explanation	Count
`*.f32`	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`	*nu**	2	0

Confusion

	Predicted +	Predicted -
+	1	7
-	1	247

Precision

0.5

Recall

0.125

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	1	0	7
-	1	0	247

Precision?

0.5

Recall?

0.125

Freqs

test

number	freq
0	254
1	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

57.0ms	498×	0	valid
5.0ms	14×	1	valid

Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions

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

ival-mult: 18.0ms (43.1% of total)

ival-sin: 13.0ms (31.1% of total)

ival-div: 4.0ms (9.6% of total)

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

ival-add: 2.0ms (4.8% of total)

ival-true: 1.0ms (2.4% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 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

1.5MiB live, 1.5MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Status

Accuracy

Program

▶

97.4%

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

simplify80.0ms (0.5%)

Memory

-13.0MiB live, 62.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓	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	3648	(+.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×	`accelerator-lowering-fma.f32`
832×	`accelerator-lowering-fma.f64`
576×	`-lowering-.f32`
576×	`-lowering-.f64`
492×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	101
1	36	89
2	76	88
3	144	86
4	191	86
5	226	86
6	270	86
7	355	86
8	499	86
9	600	86
10	740	86
11	1182	86
12	1891	86
13	2299	86
14	2318	86
15	2319	86
16	2319	86
0	2319	85

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(sin (* (- 1 u) normAngle))
(* (- 1 u) normAngle)
(- 1 u)
1
u
normAngle
(/ 1 (sin normAngle))
(sin normAngle)
n0_i
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(sin (* u normAngle))
(* u normAngle)
n1_i

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

localize83.0ms (0.5%)

Memory

-0.1MiB live, 76.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.5%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	98.6%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	96.3%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

42.0ms	249×	0	valid
2.0ms	7×	1	valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 33.0ms

ival-sin: 20.0ms (59.8% of total)

ival-mult: 8.0ms (23.9% of total)

ival-div: 2.0ms (6% of total)

ival-add: 1.0ms (3% of total)

ival-sub: 1.0ms (3% of total)

adjust: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

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

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

series40.0ms (0.2%)

Memory

19.3MiB live, 63.6MiB allocated

Counts

6 → 180

Calls

Call 1

Inputs
#<alt (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))>
#<alt (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))>
#<alt (* (sin (* u normAngle)) (/ 1 (sin normAngle)))>
#<alt (sin (* (- 1 u) normAngle))>
#<alt (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)>
#<alt (* (- 1 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 (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 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

45 calls:

Time	Variable		Point	Expression
7.0ms	n0_i	@	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)))
3.0ms	normAngle	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	n0_i	@	-inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	normAngle	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite712.0ms (4.4%)

Memory

-210.0MiB live, 830.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 546×	`accelerator-lowering-fma.f32`
7 546×	`accelerator-lowering-fma.f64`
5 814×	`-lowering-.f32`
5 814×	`-lowering-.f64`
2 004×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	59
1	71	59
2	457	58
3	4831	58
0	8474	57

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 247

Calls

Call 1

Inputs
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(sin (* (- 1 u) normAngle))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(* (- 1 u) normAngle)

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

simplify668.0ms (4.1%)

Memory

8.6MiB live, 968.4MiB allocated

Algorithm

1×	egg-herbie

Rules

13 832×	`accelerator-lowering-fma.f32`
13 832×	`accelerator-lowering-fma.f64`
7 000×	`+-lowering-+.f64`
7 000×	`+-lowering-+.f32`
6 084×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	359	3068
1	1113	2964
2	3863	2904
0	8930	2781

Stop Event

1×	iter limit
1×	node limit

Counts

180 → 180

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))
(sin normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(sin (* normAngle (+ 1 (* -1 u))))
(* normAngle (- 1 u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
(sin (* normAngle (- 1 u)))
n0_i
(+ 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 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (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 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)))) (/.f32 (.f32 normAngle 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 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)))) (fma.f32 (fma.f32 n0_i (.f32 (.f32 (cos.f32 normAngle) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (sin.f32 normAngle))) #s(literal 1/6 binary32)) (/.f32 (.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) n1_i) (sin.f32 normAngle))) (.f32 u u) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))) n0_i)
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (.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 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (.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 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 normAngle (.f32 normAngle (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (.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 n1_i (pow.f32 u #s(literal 7 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)))) (fma.f32 #s(literal 1/6 binary32) (+.f32 (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 1/6 binary32) (.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 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))))))) (neg.f32 (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) (.f32 #s(literal -1/720 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (.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 (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (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 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.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 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.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 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.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 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.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 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.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 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.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 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle))) (/.f32 normAngle (sin.f32 normAngle)) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (.f32 u (.f32 #s(literal -1/2 binary32) (*.f32 normAngle 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 (cos.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u normAngle))) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle))) (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) #s(literal 1 binary32))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (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 normAngle (.f32 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) (fma.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 (.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))) #s(literal -1/120 binary32) (neg.f32 (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 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(*.f32 u (/.f32 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 (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) 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 u (.f32 u (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (sin.f32 normAngle)) (.f32 (.f32 u u) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))) (/.f32 normAngle (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (fma.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (/.f32 (.f32 u u) (sin.f32 normAngle)))) (/.f32 (.f32 (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)) 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 normAngle (.f32 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))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 u (*.f32 normAngle (-.f32 #s(literal 0 binary32) (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 u (.f32 (sin.f32 normAngle) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle))) (.f32 normAngle (-.f32 #s(literal 0 binary32) (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 (sin.f32 normAngle) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u normAngle)) (.f32 (cos.f32 normAngle) #s(literal 1/6 binary32)))) (.f32 normAngle (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(.f32 normAngle (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32)) (-.f32 #s(literal 1 binary32) u)))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) u)))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (* normAngle (- 1 u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (.f32 normAngle (.f32 u (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (/.f32 n0_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))))))
(fma.f32 u (.f32 n0_i (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (cos.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u normAngle))) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)))) (/.f32 (.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(* n0_i (- 1 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+ (* 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 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 (.f32 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 1/6 binary32) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (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))) (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 1/6 binary32) (.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)))))) (neg.f32 (fma.f32 n0_i (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))))) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal 1/6 binary32) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))) (.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+ normAngle (* -1 (* normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(+ normAngle (* -1 (* normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* -1 (* normAngle u))
(-.f32 #s(literal 0 binary32) (*.f32 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))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(-.f32 #s(literal 0 binary32) (*.f32 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))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))

eval72.0ms (0.4%)

Memory: 3.5MiB live, 116.4MiB allocated
Compiler: Compiled 15 983 to 1 138 computations (92.9% saved)

prune114.0ms (0.7%)

Memory

7.8MiB live, 158.0MiB allocated

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	408	19	427
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	409	19	428

Accuracy

100.0%

Counts

428 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	81.0%	(fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i (.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
	95.2%	(fma.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i)
	90.2%	(fma.f32 u (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))) n0_i)
▶	98.0%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
	97.0%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	97.5%	(+.f32 (fma.f32 (.f32 normAngle (.f32 u (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (/.f32 n0_i (sin.f32 normAngle)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	94.0%	(+.f32 (fma.f32 u (fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (cos.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u normAngle))) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)))) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶	97.6%	(+.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.2%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.7%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #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))
	97.2%	(+.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 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle)))) n1_i))
	97.0%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
▶	82.1%	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	63.7%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (.f32 (sin.f32 (.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)))
	40.3%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	53.9%	(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
	67.3%	(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
▶	43.8%	n0_i

Compiler

Compiled 994 to 604 computations (39.2% saved)

simplify801.0ms (4.9%)

Memory

-20.6MiB live, 1 219.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (*.f32 u normAngle))
✓	cost-diff	0	(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
✓	cost-diff	0	(fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i (.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
✓	cost-diff	64	(*.f32 normAngle (+.f32 #s(literal 1 binary32) u))
✓	cost-diff	0	(.f32 (fma.f32 normAngle (.f32 normAngle (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i)
✓	cost-diff	64	(+.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	cost-diff	128	(*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	0	(sin.f32 (*.f32 u normAngle))
✓	cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	cost-diff	64	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	32	(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))
✓	cost-diff	96	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
✓	cost-diff	128	(*.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)))

Rules

24 260×	`accelerator-lowering-fma.f32`
24 260×	`accelerator-lowering-fma.f64`
5 512×	`+-lowering-+.f64`
5 512×	`+-lowering-+.f32`
4 626×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	511
1	132	491
2	461	449
3	2484	438
4	5960	438
0	8473	408

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* n0_i (- 1 u)) (+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* (* n1_i -1/6) (* u (+ (* u u) -1)))))))
n0_i
(- 1 u)
1
u
(+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* (* n1_i -1/6) (* u (+ (* u u) -1))))))
n1_i
(* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* (* n1_i -1/6) (* u (+ (* u u) -1)))))
(* normAngle normAngle)
normAngle
(+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* (* n1_i -1/6) (* u (+ (* u u) -1))))
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))
(+ (* u 1/6) -1/6)
1/6
-1/6
(+ (* (- 1 u) (- 1 u)) -1)
-1
(* (* n1_i -1/6) (* u (+ (* u u) -1)))
(* n1_i -1/6)
(* u (+ (* u u) -1))
(+ (* u u) -1)
n0_i
(+ n0_i (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
n0_i
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(sin (* u normAngle))
(* u normAngle)
u
normAngle
(/ 1 (sin normAngle))
1
(sin normAngle)
n1_i
(+ (* (+ (* normAngle (* normAngle (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(* (+ (* normAngle (* normAngle (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)))) (- 1 u)) n0_i)
(+ (* normAngle (* normAngle (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)))) (- 1 u))
normAngle
(* normAngle (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)))
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))
(+ (* u 1/6) -1/6)
u
1/6
-1/6
(+ (* (- 1 u) (- 1 u)) -1)
(- 1 u)
1
-1
n0_i
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(sin (* u normAngle))
(* u normAngle)
(/ 1 (sin normAngle))
(sin normAngle)
n1_i
(+ (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i) (* (sin (* normAngle (+ 1 u))) (/ n0_i (sin normAngle))))
(/ (sin (* u normAngle)) (sin normAngle))
(sin (* u normAngle))
(* u normAngle)
u
normAngle
(sin normAngle)
n1_i
(* (sin (* normAngle (+ 1 u))) (/ n0_i (sin normAngle)))
(sin (* normAngle (+ 1 u)))
(* normAngle (+ 1 u))
(+ 1 u)
1
(/ n0_i (sin normAngle))
n0_i

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

localize187.0ms (1.1%)

Memory

10.1MiB live, 385.7MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i (.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
✓	accuracy	99.1%	(.f32 (sin.f32 (.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
✓	accuracy	99.1%	(*.f32 normAngle (+.f32 #s(literal 1 binary32) u))
✓	accuracy	96.5%	(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
✓	accuracy	99.1%	(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
✓	accuracy	98.8%	(*.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)))
✓	accuracy	96.3%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	55.4%	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	accuracy	99.9%	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓	accuracy	99.8%	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	accuracy	96.3%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	99.1%	(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
✓	accuracy	99.0%	(*.f32 n1_i #s(literal -1/6 binary32))
✓	accuracy	98.8%	(*.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)))
✓	accuracy	55.4%	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))

Samples

88.0ms	249×	0	valid
4.0ms	3×	5	exit
3.0ms	4×	1	valid

Compiler

Compiled 469 to 49 computations (89.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 73.0ms

ival-mult: 32.0ms (44.1% of total)

const: 14.0ms (19.3% of total)

ival-add: 12.0ms (16.5% of total)

ival-sin: 7.0ms (9.6% of total)

ival-div: 5.0ms (6.9% of total)

ival-sub: 2.0ms (2.8% of total)

adjust: 1.0ms (1.4% of total)

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

exact: 0.0ms (0% of total)

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

series55.0ms (0.3%)

Memory

12.6MiB live, 128.3MiB allocated

Counts

18 → 492

Calls

Call 1

Inputs
#<alt (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))>
#<alt (+ (* n0_i (- 1 u)) (+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* (* n1_i -1/6) (* u (+ (* u u) -1)))))))>
#<alt (* (* n1_i -1/6) (* u (+ (* u u) -1)))>
#<alt (- 1 u)>
#<alt (* (sin (* u normAngle)) (/ 1 (sin normAngle)))>
#<alt (+ n0_i (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))>
#<alt (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)>
#<alt (sin (* u normAngle))>
#<alt (+ (* (+ (* normAngle (* normAngle (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))>
#<alt (* (+ (* normAngle (* normAngle (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)))) (- 1 u)) n0_i)>
#<alt (* normAngle (+ 1 u))>
#<alt (+ (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i) (* (sin (* normAngle (+ 1 u))) (/ n0_i (sin normAngle))))>
#<alt (/ (sin (* u normAngle)) (sin normAngle))>
#<alt (+ (* (- 1 u) (- 1 u)) -1)>
#<alt (* n1_i -1/6)>
#<alt (+ (* u 1/6) -1/6)>
#<alt (/ 1 (sin normAngle))>
#<alt (* (sin (* normAngle (+ 1 u))) (/ n0_i (sin normAngle)))>

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

Calls

123 calls:

Time	Variable		Point	Expression
7.0ms	u	@	-inf	(* (* n1_i -1/6) (* u (+ (* u u) -1)))
3.0ms	u	@	0	(+ (* n0_i (- 1 u)) (+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* (* n1_i -1/6) (* u (+ (* u u) -1)))))))
2.0ms	normAngle	@	inf	(+ (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i) (* (sin (* normAngle (+ 1 u))) (/ n0_i (sin normAngle))))
2.0ms	n1_i	@	0	(+ (* n0_i (- 1 u)) (+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* (* n1_i -1/6) (* u (+ (* u u) -1)))))))
2.0ms	n0_i	@	0	(+ (* n0_i (- 1 u)) (+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* (* n1_i -1/6) (* u (+ (* u u) -1)))))))

rewrite574.0ms (3.5%)

Memory

-6.1MiB live, 1 068.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 790×	`-lowering-.f32`
4 790×	`-lowering-.f64`
4 236×	`accelerator-lowering-fma.f32`
4 236×	`accelerator-lowering-fma.f64`
4 036×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	47	218
1	291	216
2	2641	216
0	8715	200

Stop Event

1×	iter limit
1×	node limit

Counts

18 → 769

Calls

Call 1

Inputs
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))
(+ (* n0_i (- 1 u)) (+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* (* n1_i -1/6) (* u (+ (* u u) -1)))))))
(* (* n1_i -1/6) (* u (+ (* u u) -1)))
(- 1 u)
(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
(+ n0_i (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
(sin (* u normAngle))
(+ (* (+ (* normAngle (* normAngle (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)))) (- 1 u)) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(* (+ (* normAngle (* normAngle (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1)))) (- 1 u)) n0_i)
(* normAngle (+ 1 u))
(+ (* (/ (sin (* u normAngle)) (sin normAngle)) n1_i) (* (sin (* normAngle (+ 1 u))) (/ n0_i (sin normAngle))))
(/ (sin (* u normAngle)) (sin normAngle))
(+ (* (- 1 u) (- 1 u)) -1)
(* n1_i -1/6)
(+ (* u 1/6) -1/6)
(/ 1 (sin normAngle))
(* (sin (* normAngle (+ 1 u))) (/ n0_i (sin normAngle)))

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

simplify639.0ms (3.9%)

Memory

11.8MiB live, 1 074.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 678×	`accelerator-lowering-fma.f32`
15 678×	`accelerator-lowering-fma.f64`
7 532×	`-lowering-.f32`
7 532×	`-lowering-.f64`
5 338×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	728	9311
1	2371	8912
0	8469	8272

Stop Event

1×	iter limit
1×	node limit

Counts

492 → 492

Calls

Call 1

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

Outputs
(* 1/3 u)
(*.f32 #s(literal 1/3 binary32) u)
(* u (+ 1/3 (* -1/2 u)))
(*.f32 u (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/2 binary32)) #s(literal 1/3 binary32)))
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))
(*.f32 u (fma.f32 u (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/2 binary32)) #s(literal 1/3 binary32)))
(* 1/6 (pow u 3))
(.f32 #s(literal 1/6 binary32) (.f32 u (*.f32 u u)))
(* (pow u 3) (- 1/6 (* 1/2 (/ 1 u))))
(.f32 (.f32 u (*.f32 u u)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) u)))
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u u)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) u))))
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/3 binary32) (.f32 u u)) (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/2 binary32) u))))
(* 1/6 (pow u 3))
(.f32 #s(literal 1/6 binary32) (.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6)))
(.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) u) #s(literal -1/6 binary32)) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))
(.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -1/2 binary32)) (neg.f32 u)) #s(literal -1/6 binary32)) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))
(.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal 1/3 binary32) u) #s(literal -1/2 binary32)) (neg.f32 u)) #s(literal -1/6 binary32)) (neg.f32 (.f32 u (*.f32 u u))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u))
(.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* n1_i u)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* n1_i u)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* n1_i u)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i u) n0_i)))) u))
(.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (/.f32 (.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i u) n0_i)))) u))
(.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (/.f32 (.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1)))) n0_i)) (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i u) n0_i)))) u))
(.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (/.f32 (.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1 (- 1 u)))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i))))))
(.f32 (-.f32 (neg.f32 (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u)) n0_i)) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i))))))
(.f32 (-.f32 (neg.f32 (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u)) n0_i)) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* -1 (- 1 u)) (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (* u (- (pow u 2) 1))))) (* n1_i u)) n0_i))))))
(.f32 (-.f32 (neg.f32 (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))) (/.f32 (.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u)) n0_i)) (neg.f32 n0_i))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/3 binary32) n0_i (.f32 #s(literal 1/6 binary32) n1_i)) (neg.f32 n0_i))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)) (neg.f32 n0_i)))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 u (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/2 binary32) n0_i (.f32 u (fma.f32 #s(literal 1/6 binary32) n0_i (.f32 #s(literal -1/6 binary32) n1_i))))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/3 binary32) n0_i (.f32 #s(literal 1/6 binary32) n1_i)) (neg.f32 n0_i)))) n0_i)
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))))
(.f32 (.f32 u (.f32 u u)) (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n0_i (.f32 #s(literal -1/6 binary32) n1_i))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) n0_i) u) (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) n0_i (.f32 #s(literal -1/6 binary32) n1_i)))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2)))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) n0_i) u) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/6 binary32) n0_i (.f32 #s(literal -1/6 binary32) n1_i))) (fma.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (.f32 #s(literal 1/6 binary32) n1_i)) (.f32 u u)) (/.f32 n1_i (.f32 u u))))) (/.f32 n0_i (.f32 u u))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (+.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) n0_i) u) (fma.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) n0_i (.f32 #s(literal -1/6 binary32) n1_i)) normAngle) normAngle (/.f32 n0_i (.f32 u (.f32 u u))))) (fma.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 #s(literal 1/3 binary32) n0_i (.f32 #s(literal 1/6 binary32) n1_i)) (.f32 u u)) (/.f32 n1_i (.f32 u u)))) (/.f32 n0_i (.f32 u u))))
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))
(.f32 (.f32 (.f32 u (.f32 u u)) (fma.f32 #s(literal 1/6 binary32) n1_i (.f32 #s(literal -1/6 binary32) n0_i))) (neg.f32 (.f32 normAngle normAngle)))
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/6 binary32) n1_i (.f32 #s(literal -1/6 binary32) n0_i))) (/.f32 (.f32 #s(literal 1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i)) u)) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1/3 n0_i) (* -1/6 n1_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/6 binary32) n1_i (.f32 #s(literal -1/6 binary32) n0_i))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (+.f32 n0_i (fma.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (.f32 n0_i #s(literal -1/3 binary32))) normAngle) normAngle (neg.f32 n1_i))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/3 n0_i) (* -1/6 n1_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/6 binary32) n1_i (.f32 #s(literal -1/6 binary32) n0_i))) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (+.f32 (-.f32 n0_i n1_i) (fma.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) n1_i (.f32 n0_i #s(literal -1/3 binary32))) normAngle) normAngle (-.f32 #s(literal 0 binary32) (/.f32 n0_i u)))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (.f32 u (*.f32 u u))))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))
(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))
(.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) n1_i) (/ (* n0_i (- 1 u)) n1_i)))))
(.f32 n1_i (fma.f32 n0_i (+.f32 (/.f32 (.f32 (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)) (.f32 normAngle normAngle))) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u)))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) n1_i) (/ (* n0_i (- 1 u)) n1_i)))))
(.f32 n1_i (fma.f32 n0_i (+.f32 (/.f32 (.f32 (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)) (.f32 normAngle normAngle))) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u)))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))) (+ (/ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) n1_i) (/ (* n0_i (- 1 u)) n1_i)))))
(.f32 n1_i (fma.f32 n0_i (+.f32 (/.f32 (.f32 (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)) (.f32 normAngle normAngle))) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u)))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1)))))))
(.f32 (neg.f32 n1_i) (fma.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (neg.f32 u)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(.f32 (neg.f32 n1_i) (fma.f32 (neg.f32 n0_i) (/.f32 (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n1_i) (fma.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (neg.f32 u))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(.f32 (neg.f32 n1_i) (fma.f32 (neg.f32 n0_i) (/.f32 (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n1_i) (fma.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (neg.f32 u))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) n1_i)) (* 1/6 (* (pow normAngle 2) (* u (- (pow u 2) 1))))))))
(.f32 (neg.f32 n1_i) (fma.f32 (neg.f32 n0_i) (/.f32 (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n1_i) (fma.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (neg.f32 u))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* (pow normAngle 2) (+ (* -1/6 (* n1_i (* u (- (pow u 2) 1)))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
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(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
(.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
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(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
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(* -1/6 (* n1_i (* u (- (pow u 2) 1))))
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(* 1/6 (* n1_i u))
(.f32 u (.f32 #s(literal 1/6 binary32) n1_i))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
(.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))
(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
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(* u (+ (* -1/6 (* n1_i (pow u 2))) (* 1/6 n1_i)))
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(* -1/6 (* n1_i (pow u 3)))
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(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 #s(literal 1/6 binary32) (/.f32 n1_i (.f32 u u)) (*.f32 #s(literal -1/6 binary32) n1_i)))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
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(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 (/ n1_i (pow u 2)))))
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(* -1 (* (pow u 3) (+ (* -1/6 (/ n1_i (pow u 2))) (* 1/6 n1_i))))
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1
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(/ (* normAngle u) (sin normAngle))
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u
(+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))
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(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
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(+ 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))))
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(/ (sin (* normAngle u)) (sin normAngle))
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(+ n0_i (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 n1_i (/.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) u) u) (sin.f32 normAngle)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+ n0_i (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 #s(literal 1/120 binary32) n1_i) (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (/.f32 (.f32 u u) (sin.f32 normAngle))) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) n1_i) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (* n1_i u))
(fma.f32 u n1_i n0_i)
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))
(fma.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u) n0_i)
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (.f32 n1_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 u n1_i n0_i))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 u #s(literal 7 binary32)) (.f32 n1_i #s(literal -1/5040 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (.f32 n1_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))))) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (*.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 u n1_i n0_i))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
n0_i
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(neg.f32 (.f32 n1_i (-.f32 (/.f32 n0_i (neg.f32 n1_i)) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(neg.f32 (.f32 n1_i (-.f32 (/.f32 n0_i (neg.f32 n1_i)) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(neg.f32 (.f32 n1_i (-.f32 (/.f32 n0_i (neg.f32 n1_i)) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 n1_i (/.f32 (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) u) u) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 #s(literal 1/120 binary32) n1_i) (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (/.f32 (.f32 u u) (sin.f32 normAngle))) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) n1_i) (sin.f32 normAngle))) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (fma.f32 n1_i (/.f32 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle #s(literal 7 binary32)) #s(literal -1/5040 binary32))) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) n1_i) (sin.f32 normAngle))) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) n1_i) (sin.f32 normAngle))) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* n1_i u)
(*.f32 u n1_i)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (.f32 n1_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (.f32 u n1_i))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 u #s(literal 7 binary32)) (.f32 n1_i #s(literal -1/5040 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (.f32 n1_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))))) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (.f32 u n1_i))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* normAngle u)
(*.f32 u normAngle)
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(.f32 u (fma.f32 u (.f32 u (.f32 #s(literal -1/6 binary32) (.f32 normAngle (*.f32 normAngle normAngle)))) normAngle))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 u (.f32 u (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 normAngle (*.f32 normAngle normAngle)))) normAngle))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (.f32 (pow.f32 normAngle #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32)))) (.f32 #s(literal -1/6 binary32) (.f32 normAngle (*.f32 normAngle normAngle)))) normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(* normAngle u)
(*.f32 u normAngle)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(.f32 normAngle (fma.f32 (.f32 u (.f32 u u)) (.f32 #s(literal -1/6 binary32) (*.f32 normAngle normAngle)) u))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 (.f32 u u) #s(literal -1/6 binary32)) (.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))))) u))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (pow.f32 u #s(literal 7 binary32)) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)) (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)))) (.f32 u (.f32 (*.f32 u u) #s(literal -1/6 binary32)))) u))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(sin (* normAngle u))
(sin.f32 (*.f32 u normAngle))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (* n1_i u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (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)) n0_i))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))))) (* -1/6 (* n1_i u))))))
(fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (.f32 n1_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (.f32 (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)) n0_i))) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))))) (* -1/6 (* n1_i u))))))
(fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 u #s(literal 7 binary32)) (.f32 n1_i #s(literal -1/5040 binary32))) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (.f32 n1_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/720 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal -1/5040 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32))))))) (.f32 (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)) n0_i))) (.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 u n1_i (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 normAngle normAngle) (.f32 (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)) n0_i)))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 normAngle normAngle) (.f32 (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)) n0_i)))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow normAngle 2) (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (.f32 n0_i (fma.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 normAngle normAngle))))))
n0_i
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 u (.f32 #s(literal -1/2 binary32) (.f32 (*.f32 normAngle normAngle) n0_i))))) n0_i)
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (* n0_i (pow normAngle 2))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) n1_i) (sin.f32 normAngle))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i))) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) n0_i)
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 u (.f32 u u)) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) n0_i)))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i)) u)))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 u u)) (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i)) u))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (+ (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)) (/ (* n1_i (sin (* normAngle u))) (* (pow u 3) (sin normAngle))))))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (fma.f32 #s(literal -1/2 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) n0_i) u) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 (.f32 u (.f32 u u)) (sin.f32 normAngle))) (fma.f32 n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 u u)) (/.f32 n0_i (.f32 u (*.f32 u u))))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 u (.f32 u u)) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) n0_i)))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) n0_i) u) (.f32 n0_i (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (fma.f32 n0_i (fma.f32 (.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal 1 binary32)) (/.f32 (fma.f32 n1_i (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n0_i) (neg.f32 u))) (neg.f32 u))) (neg.f32 u)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 n0_i (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 n0_i (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 n0_i (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))
(.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 normAngle))) (fma.f32 (.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) #s(literal 1 binary32))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))
(.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 normAngle))) (fma.f32 (.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) #s(literal 1 binary32))) u))
(* n0_i (- (+ 1 (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) u))
(.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 normAngle))) (fma.f32 (.f32 (*.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) #s(literal 1 binary32))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 normAngle))) (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))))
(* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 normAngle))) (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))))
(* -1 (* n0_i (+ (* -1 (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (.f32 n0_i (sin.f32 normAngle))) (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 n0_i (fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
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n0_i
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(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
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(* normAngle (+ 1 u))
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normAngle
(+ normAngle (* normAngle u))
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(+ normAngle (* normAngle u))
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(* normAngle u)
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(* u (+ normAngle (/ normAngle u)))
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(* normAngle u)
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n0_i
(+ n0_i (* u (+ (/ (* 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)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (+ (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i)) (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))) n0_i)
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))) (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))))))) (+ (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 u (fma.f32 u (.f32 #s(literal -1/6 binary32) (fma.f32 n1_i (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i))) (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 normAngle (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 normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (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 normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (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 normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (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 normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (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 normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (* n0_i (+ 1 u)) (* n1_i u))
(fma.f32 u n1_i (fma.f32 u n0_i n0_i))
(+ (* n0_i (+ 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (+ 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 u n0_i n0_i) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (.f32 (.f32 u (.f32 u u)) n1_i)) (fma.f32 u n1_i (fma.f32 u n0_i n0_i)))) (fma.f32 u n1_i (fma.f32 u n0_i n0_i)))
(+ (* n0_i (+ 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 u) 3))) (* -1/6 (* n0_i (+ 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 u n0_i n0_i) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32))) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))) (.f32 #s(literal 1/120 binary32) (fma.f32 u n1_i (fma.f32 u n0_i n0_i))))) (-.f32 (.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 #s(literal -1/6 binary32) (fma.f32 u n0_i n0_i))))) (fma.f32 u n1_i (fma.f32 u n0_i n0_i)))
(+ (* n0_i (+ 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (+ 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 u) 3))) (* -1/6 (* n0_i (+ 1 u))))) (* 1/120 (* n0_i (+ 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (+ 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 u) 3))) (* -1/6 (* n0_i (+ 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 u) 3))) (* -1/6 (* n0_i (+ 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (+ 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (+ 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 u n0_i n0_i) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 7 binary32)) (.f32 n1_i (pow.f32 u #s(literal 7 binary32))))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 u n0_i n0_i)))) (-.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) (.f32 n1_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))) (.f32 u (.f32 n1_i #s(literal 1/120 binary32)))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 u n1_i (fma.f32 u n0_i n0_i)) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32)))) (.f32 #s(literal -1/720 binary32) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))))))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32))) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32)))))) (.f32 #s(literal 1/120 binary32) (fma.f32 u n1_i (fma.f32 u n0_i n0_i))))))) (-.f32 (.f32 n1_i (.f32 #s(literal -1/6 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 #s(literal -1/6 binary32) (fma.f32 u n0_i n0_i))))) (fma.f32 u n1_i (fma.f32 u n0_i 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 normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u 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 normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (+ 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (+ 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (+ 1 u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 u)))) (* n1_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (.f32 n1_i (sin.f32 normAngle))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+ (/ (* 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 normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)) (.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u 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 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 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 normAngle normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (+ 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (+ 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (+ 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (*.f32 n0_i (sin.f32 normAngle))) (/.f32 (sin.f32 (fma.f32 u normAngle normAngle)) (sin.f32 normAngle)))))
(/ (* normAngle u) (sin normAngle))
(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
(* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))
(.f32 u (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (/.f32 (*.f32 u u) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (/.f32 (.f32 u u) (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 1/120 binary32) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 u u) (.f32 (pow.f32 normAngle #s(literal 7 binary32)) #s(literal -1/5040 binary32))) (sin.f32 normAngle))) (/.f32 (.f32 #s(literal -1/6 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 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (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)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))) (.f32 u #s(literal 1/120 binary32))))) (.f32 #s(literal -1/6 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 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))) (.f32 u #s(literal 1/120 binary32))))) (fma.f32 u #s(literal -1/5040 binary32) (.f32 #s(literal -1/720 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32)) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 u (fma.f32 u u #s(literal -1 binary32))) (.f32 u #s(literal 1/120 binary32)))))) (.f32 #s(literal -1/6 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))
(* -2 u)
(*.f32 u #s(literal -2 binary32))
(* u (- u 2))
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(* u (- u 2))
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(* u (- u 2))
(*.f32 u (+.f32 u #s(literal -2 binary32)))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u)))
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
(* -1/6 n1_i)
(*.f32 #s(literal -1/6 binary32) n1_i)
-1/6
#s(literal -1/6 binary32)
(- (* 1/6 u) 1/6)
(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
(- (* 1/6 u) 1/6)
(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
(- (* 1/6 u) 1/6)
(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
(* 1/6 u)
(*.f32 u #s(literal 1/6 binary32))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(*.f32 u (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) u)))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(*.f32 u (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) u)))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(*.f32 u (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) u)))
(* 1/6 u)
(*.f32 u #s(literal 1/6 binary32))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(*.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(*.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(*.f32 (neg.f32 u) (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)))
(/ 1 normAngle)
(/.f32 #s(literal 1 binary32) normAngle)
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)
(/.f32 (fma.f32 #s(literal 1/6 binary32) (*.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)
(/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(* n0_i (+ 1 u))
(fma.f32 u n0_i n0_i)
(+ (* n0_i (+ 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 u) 3))) (* -1/6 (* n0_i (+ 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32)))) (fma.f32 u n0_i n0_i))
(+ (* n0_i (+ 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 u) 3))) (* -1/6 (* n0_i (+ 1 u))))) (* 1/120 (* n0_i (+ 1 u))))))) (* -1/6 (* n0_i (+ 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 u n0_i n0_i)))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32))))) (fma.f32 u n0_i 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 (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 u n0_i n0_i)))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 u n0_i n0_i) (.f32 #s(literal -1/720 binary32) (.f32 n0_i (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32))))))))) (-.f32 (.f32 (pow.f32 (+.f32 u #s(literal 1 binary32)) #s(literal 5 binary32)) (.f32 n0_i #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32)))) (.f32 #s(literal 1/120 binary32) (fma.f32 u n0_i n0_i))))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (-.f32 (.f32 (+.f32 u #s(literal 1 binary32)) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32)))) (+.f32 u #s(literal 1 binary32))))) (fma.f32 u n0_i n0_i))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
n0_i
(+ n0_i (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))
(fma.f32 n0_i (/.f32 (.f32 u (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 u (.f32 #s(literal -1/2 binary32) (.f32 (*.f32 normAngle normAngle) n0_i)))) n0_i)
(+ n0_i (* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(fma.f32 u (fma.f32 u (fma.f32 (.f32 #s(literal -1/6 binary32) n0_i) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i))) (/.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle))) n0_i)
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (- 1 (* -1 u))))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))
(/ (* n0_i (sin (* normAngle (+ 1 u)))) (sin normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u normAngle normAngle))) (sin.f32 normAngle))

eval263.0ms (1.6%)

Memory: 10.5MiB live, 709.5MiB allocated
Compiler: Compiled 97 723 to 5 210 computations (94.7% saved)

prune446.0ms (2.7%)

Memory

7.5MiB live, 623.0MiB allocated

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	1 837	22	1 859
Fresh	11	3	14
Picked	4	1	5
Done	0	0	0
Total	1 852	26	1 878

Accuracy

100.0%

Counts

1 878 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.2%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 u n0_i n0_i) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (.f32 (.f32 u (.f32 u u)) n1_i)) (fma.f32 u n1_i (fma.f32 u n0_i n0_i)))) (fma.f32 u n1_i (fma.f32 u n0_i n0_i)))
▶	99.4%	(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
	98.2%	(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/3 binary32) n0_i (.f32 #s(literal 1/6 binary32) n1_i)) (neg.f32 n0_i))) n0_i)
	98.4%	(fma.f32 u (+.f32 n1_i (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)) (neg.f32 n0_i)))) n0_i)
	83.7%	(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
	80.6%	(fma.f32 u n1_i (fma.f32 u n0_i n0_i))
	97.1%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
▶	82.0%	(fma.f32 u n1_i n0_i)
▶	82.5%	(fma.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u) n0_i)
▶	98.0%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))))
	97.7%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/3 binary32) u) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
	97.0%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	97.8%	(fma.f32 n0_i (.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
	82.4%	(fma.f32 n0_i #s(literal 1 binary32) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
	52.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n0_i n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) (pow.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) #s(literal 3 binary32)))))
	99.2%	(+.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
	97.2%	(+.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
	97.7%	(+.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))
	72.1%	(+.f32 n0_i (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle)))
▶	83.5%	(+.f32 n0_i (.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
	81.8%	(+.f32 n0_i (*.f32 u n1_i))
	53.9%	(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
	40.6%	(.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u))
	53.9%	(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
	97.8%	(.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (/.f32 (.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u)))
✓	43.8%	n0_i

Compiler

Compiled 1 459 to 742 computations (49.1% saved)

simplify876.0ms (5.4%)

Memory

-1.5MiB live, 675.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(/.f32 normAngle (sin.f32 normAngle))
✓	cost-diff	0	(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
✓	cost-diff	0	(.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)
✓	cost-diff	64	(+.f32 n0_i (.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	96	(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))
✓	cost-diff	96	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))))
✓	cost-diff	128	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	cost-diff	0	(.f32 u (.f32 normAngle normAngle))
✓	cost-diff	0	(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle)))
✓	cost-diff	0	(fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u)
✓	cost-diff	0	(fma.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u) n0_i)
✓	cost-diff	0	(fma.f32 u n1_i n0_i)
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))
✓	cost-diff	0	(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
✓	cost-diff	96	(fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))

Rules

20 780×	`accelerator-lowering-fma.f32`
20 780×	`accelerator-lowering-fma.f64`
4 706×	`-lowering-.f32`
4 706×	`-lowering-.f64`
3 906×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	335
1	142	335
2	495	317
3	2209	300
4	4364	299
0	8138	276

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* u (+ (* n0_i (+ (* 1/3 (* normAngle normAngle)) -1)) (* n1_i (/ normAngle (sin normAngle))))) n0_i)
u
(+ (* n0_i (+ (* 1/3 (* normAngle normAngle)) -1)) (* n1_i (/ normAngle (sin normAngle))))
n0_i
(+ (* 1/3 (* normAngle normAngle)) -1)
1/3
(* normAngle normAngle)
normAngle
-1
(* n1_i (/ normAngle (sin normAngle)))
n1_i
(/ normAngle (sin normAngle))
(sin normAngle)
(+ (* u n1_i) n0_i)
u
n1_i
n0_i
(+ (* n1_i (+ (* (* -1/6 (* u (* normAngle normAngle))) (+ (* u u) -1)) u)) n0_i)
n1_i
(+ (* (* -1/6 (* u (* normAngle normAngle))) (+ (* u u) -1)) u)
(* -1/6 (* u (* normAngle normAngle)))
-1/6
(* u (* normAngle normAngle))
u
(* normAngle normAngle)
normAngle
(+ (* u u) -1)
-1
n0_i
(+ (* n0_i (- 1 u)) (+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* u (* 1/6 n1_i))))))
n0_i
(- 1 u)
1
u
(+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* u (* 1/6 n1_i)))))
n1_i
(* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* u (* 1/6 n1_i))))
(* normAngle normAngle)
normAngle
(+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* u (* 1/6 n1_i)))
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))
(+ (* u 1/6) -1/6)
1/6
-1/6
(+ (* (- 1 u) (- 1 u)) -1)
-1
(* u (* 1/6 n1_i))
(* 1/6 n1_i)
(+ n0_i (* (* u (/ normAngle (sin normAngle))) n1_i))
n0_i
(* (* u (/ normAngle (sin normAngle))) n1_i)
(* u (/ normAngle (sin normAngle)))
u
(/ normAngle (sin normAngle))
normAngle
(sin normAngle)
n1_i

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

localize222.0ms (1.4%)

Memory

6.9MiB live, 174.2MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f32 normAngle (sin.f32 normAngle))
✓	accuracy	99.9%	(.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i)
✓	accuracy	99.9%	(*.f32 u (/.f32 normAngle (sin.f32 normAngle)))
✓	accuracy	99.8%	(+.f32 n0_i (.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
✓	accuracy	99.1%	(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
✓	accuracy	99.0%	(*.f32 #s(literal 1/6 binary32) n1_i)
✓	accuracy	98.8%	(*.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)))
✓	accuracy	55.4%	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	accuracy	100.0%	(*.f32 normAngle normAngle)
✓	accuracy	100.0%	(fma.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u) n0_i)
✓	accuracy	99.7%	(.f32 u (.f32 normAngle normAngle))
✓	accuracy	99.3%	(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle)))
✓	accuracy	100.0%	(fma.f32 u n1_i n0_i)
✓	accuracy	100.0%	(/.f32 normAngle (sin.f32 normAngle))
✓	accuracy	99.9%	(fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
✓	accuracy	99.9%	(*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))
✓	accuracy	99.9%	(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)

Samples

155.0ms	253×	0	valid
4.0ms	3×	5	exit

Compiler

Compiled 305 to 48 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 140.0ms

ival-add: 76.0ms (54.5% of total)

ival-mult: 46.0ms (33% of total)

const: 10.0ms (7.2% of total)

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

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

adjust: 1.0ms (0.7% of total)

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

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

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

exact: 0.0ms (0% of total)

series89.0ms (0.5%)

Memory

-31.2MiB live, 85.3MiB allocated

Counts

21 → 564

Calls

Call 1

Inputs
#<alt (+ (* n0_i (+ (* 1/3 (* normAngle normAngle)) -1)) (* n1_i (/ normAngle (sin normAngle))))>
#<alt (+ (* u (+ (* n0_i (+ (* 1/3 (* normAngle normAngle)) -1)) (* n1_i (/ normAngle (sin normAngle))))) n0_i)>
#<alt (+ (* 1/3 (* normAngle normAngle)) -1)>
#<alt (* normAngle normAngle)>
#<alt (+ (* u n1_i) n0_i)>
#<alt (+ (* n1_i (+ (* (* -1/6 (* u (* normAngle normAngle))) (+ (* u u) -1)) u)) n0_i)>
#<alt (+ (* (* -1/6 (* u (* normAngle normAngle))) (+ (* u u) -1)) u)>
#<alt (* -1/6 (* u (* normAngle normAngle)))>
#<alt (* u (* normAngle normAngle))>
#<alt (+ (* (- 1 u) (- 1 u)) -1)>
#<alt (+ (* n0_i (- 1 u)) (+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* u (* 1/6 n1_i))))))>
#<alt (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* u (* 1/6 n1_i))))>
#<alt (- 1 u)>
#<alt (+ n0_i (* (* u (/ normAngle (sin normAngle))) n1_i))>
#<alt (* (* u (/ normAngle (sin normAngle))) n1_i)>
#<alt (* u (/ normAngle (sin normAngle)))>
#<alt (/ normAngle (sin normAngle))>
#<alt (* n1_i (/ normAngle (sin normAngle)))>
#<alt (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))>
#<alt (* 1/6 n1_i)>
#<alt (+ (* u 1/6) -1/6)>

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

Calls

141 calls:

Time	Variable		Point	Expression
19.0ms	u	@	0	(* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* u (* 1/6 n1_i))))
15.0ms	n0_i	@	0	(+ (* n0_i (+ (* 1/3 (* normAngle normAngle)) -1)) (* n1_i (/ normAngle (sin normAngle))))
2.0ms	n1_i	@	0	(+ (* u (+ (* n0_i (+ (* 1/3 (* normAngle normAngle)) -1)) (* n1_i (/ normAngle (sin normAngle))))) n0_i)
1.0ms	normAngle	@	-inf	(* u (/ normAngle (sin normAngle)))
1.0ms	u	@	0	(+ (* u (+ (* n0_i (+ (* 1/3 (* normAngle normAngle)) -1)) (* n1_i (/ normAngle (sin normAngle))))) n0_i)

rewrite574.0ms (3.5%)

Memory

18.4MiB live, 892.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

4 738×	`-lowering-.f32`
4 738×	`-lowering-.f64`
4 156×	`accelerator-lowering-fma.f32`
4 156×	`accelerator-lowering-fma.f64`
3 360×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	46	222
1	309	222
2	2943	222
0	8319	201

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 753

Calls

Call 1

Inputs
(+ (* n0_i (+ (* 1/3 (* normAngle normAngle)) -1)) (* n1_i (/ normAngle (sin normAngle))))
(+ (* u (+ (* n0_i (+ (* 1/3 (* normAngle normAngle)) -1)) (* n1_i (/ normAngle (sin normAngle))))) n0_i)
(+ (* 1/3 (* normAngle normAngle)) -1)
(* normAngle normAngle)
(+ (* u n1_i) n0_i)
(+ (* n1_i (+ (* (* -1/6 (* u (* normAngle normAngle))) (+ (* u u) -1)) u)) n0_i)
(+ (* (* -1/6 (* u (* normAngle normAngle))) (+ (* u u) -1)) u)
(* -1/6 (* u (* normAngle normAngle)))
(* u (* normAngle normAngle))
(+ (* (- 1 u) (- 1 u)) -1)
(+ (* n0_i (- 1 u)) (+ (* u n1_i) (* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* u (* 1/6 n1_i))))))
(* (* normAngle normAngle) (+ (* n0_i (* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))) (* u (* 1/6 n1_i))))
(- 1 u)
(+ n0_i (* (* u (/ normAngle (sin normAngle))) n1_i))
(* (* u (/ normAngle (sin normAngle))) n1_i)
(* u (/ normAngle (sin normAngle)))
(/ normAngle (sin normAngle))
(* n1_i (/ normAngle (sin normAngle)))
(* (+ (* u 1/6) -1/6) (+ (* (- 1 u) (- 1 u)) -1))
(* 1/6 n1_i)
(+ (* u 1/6) -1/6)

Outputs
(+.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(+.f32 (.f32 n0_i (.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle))) (+.f32 (neg.f32 n0_i) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
(+.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)))) (neg.f32 n0_i))
(pow.f32 (/.f32 (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) (.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))))) (fma.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))) (-.f32 (.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) normAngle))))))) #s(literal -1 binary32))
(fma.f32 n0_i (.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle)) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 #s(literal 1/3 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 normAngle (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) n1_i) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/3 binary32) n0_i) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle)) n0_i (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) n0_i (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))))
(fma.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))))
(fma.f32 (.f32 #s(literal 1/3 binary32) normAngle) (.f32 normAngle n0_i) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(fma.f32 (.f32 n0_i #s(literal 1/3 binary32)) (.f32 normAngle normAngle) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal 1/3 binary32) (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(fma.f32 (.f32 n0_i (.f32 #s(literal 1/3 binary32) normAngle)) normAngle (+.f32 (neg.f32 n0_i) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))))
(-.f32 (/.f32 (.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) (-.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))) (/.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (-.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 n0_i (.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) (.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))))) (fma.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (.f32 (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) (pow.f32 (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32))))))
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(*.f32 n1_i #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) n1_i)
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(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
(fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32))
(-.f32 (/.f32 (.f32 (.f32 u u) #s(literal 1/36 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))))
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simplify587.0ms (3.6%)

Memory

18.3MiB live, 1 487.6MiB allocated

Algorithm

1×	egg-herbie

Rules

15 088×	`accelerator-lowering-fma.f32`
15 088×	`accelerator-lowering-fma.f64`
8 482×	`-lowering-.f32`
8 482×	`-lowering-.f64`
4 158×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	605	8235
1	2079	7958
2	7514	7958
0	8610	7387

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

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

Outputs
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(* n0_i (- (+ (* 1/3 (pow normAngle 2)) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) 1))
(.f32 n0_i (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))
(* -1 (* n0_i (+ (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 normAngle (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/3 n0_i)) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (* -1 (* (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) (neg.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32)))) (.f32 n1_i #s(literal -7/360 binary32)))) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i))
(* 1/3 (* n0_i (pow normAngle 2)))
(.f32 n0_i (.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)))
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (.f32 normAngle (sin.f32 normAngle)))) (/.f32 n0_i (.f32 normAngle normAngle))))
(* (pow normAngle 2) (+ (* -1 (/ n0_i (pow normAngle 2))) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle))))))
(.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (.f32 normAngle (sin.f32 normAngle)))) (/.f32 n0_i (.f32 normAngle normAngle))))
(* 1/3 (* n0_i (pow normAngle 2)))
(.f32 n0_i (.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle)))
(* (pow normAngle 2) (+ (* 1/3 n0_i) (/ n1_i (* normAngle (sin normAngle)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))
(.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 1/3 binary32)) (-.f32 (/.f32 n0_i (.f32 normAngle normAngle)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 2) (+ (* -1 (/ (+ (* -1 (/ n1_i (sin normAngle))) (/ n0_i normAngle)) normAngle)) (* 1/3 n0_i)))
(.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 1/3 binary32)) (-.f32 (/.f32 n0_i (.f32 normAngle normAngle)) (/.f32 n1_i (*.f32 normAngle (sin.f32 normAngle))))))
(* n0_i (- (* 1/3 (pow normAngle 2)) 1))
(.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))))
(+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))
(fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))
(.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))
(.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(* n1_i (+ (/ normAngle (sin normAngle)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))
(.f32 n1_i (fma.f32 n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) (/.f32 normAngle (sin.f32 normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (* -1 (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) n1_i)))))
(neg.f32 (.f32 (neg.f32 n1_i) (fma.f32 n0_i (/.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) (/.f32 normAngle (sin.f32 normAngle)))))
n0_i
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) u n0_i)
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) u n0_i)
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) u n0_i)
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) u)
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(.f32 u (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 n0_i u))))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)))) u)
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 n0_i u)))) (neg.f32 u))
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 n0_i u)))) (neg.f32 u))
(* -1 (* u (+ (* -1 (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(.f32 (neg.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (/.f32 n0_i u)))) (neg.f32 u))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) u n0_i)
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) u n0_i)
(+ (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (fma.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)) (.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)))) u n0_i)
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32)))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32))))
(* n0_i (+ 1 (+ (* u (- (* 1/3 (pow normAngle 2)) 1)) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32))))
(* -1 (* n0_i (- (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) 1)))
(.f32 (neg.f32 n0_i) (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (neg.f32 u) #s(literal -1 binary32)))
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(.f32 (neg.f32 n0_i) (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (neg.f32 u) (fma.f32 (neg.f32 n1_i) (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32))))
(* -1 (* n0_i (- (+ (* -1 (* u (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))) 1)))
(.f32 (neg.f32 n0_i) (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (neg.f32 u) (fma.f32 (neg.f32 n1_i) (/.f32 (.f32 normAngle u) (.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32))))
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(.f32 u (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* n1_i u)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* n1_i u)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)) (* n1_i u)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
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(* n0_i (- (+ 1 (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i u) n0_i)))) u))
(.f32 n0_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 n1_i (.f32 (/.f32 (.f32 (.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32)) (/.f32 (*.f32 n1_i u) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i u) n0_i)))) u))
(.f32 n0_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 n1_i (.f32 (/.f32 (.f32 (.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32)) (/.f32 (*.f32 n1_i u) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (+ (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n1_i u) n0_i)))) u))
(.f32 n0_i (+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 n1_i (.f32 (/.f32 (.f32 (.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32)) (/.f32 (*.f32 n1_i u) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1 (- 1 u)))))
(.f32 (neg.f32 n0_i) (neg.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* -1 (- 1 u)) (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i))))))
(.f32 (neg.f32 n0_i) (-.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) (/.f32 (.f32 u (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i)))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* -1 (- 1 u)) (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i))))))
(.f32 (neg.f32 n0_i) (-.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) (/.f32 (.f32 u (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i)))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* -1 (- 1 u)) (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i))))))
(.f32 (neg.f32 n0_i) (-.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) (/.f32 (.f32 u (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))) n0_i)))
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))))))
(fma.f32 u (fma.f32 (.f32 normAngle 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)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))
(fma.f32 u (+.f32 (-.f32 n1_i n0_i) (fma.f32 n0_i (.f32 (.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))))))))
(fma.f32 u (+.f32 n1_i (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (.f32 n0_i (.f32 (.f32 normAngle normAngle) u)) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal -1/2 binary32))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)))) n0_i)
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u u))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/6 binary32)))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2)))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32))) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (/.f32 (.f32 normAngle normAngle) (.f32 u u)) (/.f32 n1_i (.f32 u u))))) (/.f32 n0_i (.f32 u u))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2))))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (+.f32 (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (fma.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/6 binary32)) (/.f32 n0_i (.f32 u (.f32 u u))))) (fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (/.f32 (.f32 normAngle normAngle) (.f32 u u)) (/.f32 n1_i (.f32 u u)))) (/.f32 n0_i (.f32 u u))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (fma.f32 (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) u) #s(literal 1/2 binary32) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (+ (* -1/3 n0_i) (* -1/6 n1_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32))) (-.f32 n0_i n1_i)) (neg.f32 u))) (neg.f32 u))) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (+ (* -1/3 n0_i) (* -1/6 n1_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (/.f32 (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal -1/6 binary32) (*.f32 n0_i #s(literal -1/3 binary32))) (-.f32 n0_i n1_i)) (-.f32 #s(literal 0 binary32) (/.f32 n0_i u))) (neg.f32 u))) (neg.f32 u)))))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))
(.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(.f32 u (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))))
(* n1_i (+ u (+ (* 1/6 (* (pow normAngle 2) u)) (+ (/ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) n1_i) (/ (* n0_i (- 1 u)) n1_i)))))
(.f32 n1_i (fma.f32 n0_i (fma.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (.f32 normAngle normAngle) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))))
(* n1_i (+ u (+ (* 1/6 (* (pow normAngle 2) u)) (+ (/ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) n1_i) (/ (* n0_i (- 1 u)) n1_i)))))
(.f32 n1_i (fma.f32 n0_i (fma.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (.f32 normAngle normAngle) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))))
(* n1_i (+ u (+ (* 1/6 (* (pow normAngle 2) u)) (+ (/ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) n1_i) (/ (* n0_i (- 1 u)) n1_i)))))
(.f32 n1_i (fma.f32 n0_i (fma.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (/.f32 (.f32 normAngle normAngle) n1_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))
(neg.f32 (.f32 n1_i (.f32 u (fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(neg.f32 (.f32 n1_i (fma.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(neg.f32 (.f32 n1_i (fma.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(neg.f32 (.f32 n1_i (fma.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u))) (neg.f32 n1_i)))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal 1/6 binary32) u)))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal 1/6 binary32) u)))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal 1/6 binary32) u)))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal 1/6 binary32) u)))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal 1/6 binary32) u)))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 n1_i (.f32 #s(literal 1/6 binary32) u)))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* 1/6 (* n1_i (* (pow normAngle 2) u)))
(.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 (.f32 normAngle normAngle) u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 #s(literal 1/6 binary32) u) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i)))
(* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 n0_i (fma.f32 n1_i (.f32 (/.f32 (.f32 (.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32)) (.f32 (.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 n0_i (fma.f32 n1_i (.f32 (/.f32 (.f32 (.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32)) (.f32 (.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))))
(.f32 n0_i (fma.f32 n1_i (.f32 (/.f32 (.f32 (.f32 normAngle normAngle) u) n0_i) #s(literal 1/6 binary32)) (.f32 (.f32 normAngle normAngle) (*.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i)))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)))))
(.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 n1_i (.f32 (.f32 normAngle normAngle) u)) n0_i) (.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (neg.f32 (*.f32 normAngle normAngle)))))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)))))
(.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 n1_i (.f32 (.f32 normAngle normAngle) u)) n0_i) (.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (neg.f32 (*.f32 normAngle normAngle)))))
(* -1 (* n0_i (+ (* -1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* -1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)))))
(.f32 (neg.f32 n0_i) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 n1_i (.f32 (.f32 normAngle normAngle) u)) n0_i) (.f32 (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (neg.f32 (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(.f32 (.f32 (.f32 normAngle normAngle) u) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))
(* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))))
(.f32 u (fma.f32 n0_i (.f32 (.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))))
(* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (fma.f32 #s(literal 1/6 binary32) (.f32 n0_i (.f32 (.f32 normAngle normAngle) u)) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal -1/2 binary32))))))
(* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))) (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i)))))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (fma.f32 #s(literal 1/6 binary32) (.f32 n0_i (.f32 (.f32 normAngle normAngle) u)) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal -1/2 binary32))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u u))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/6 binary32)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u)) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/6 binary32))))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* (pow normAngle 2) (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 (.f32 normAngle normAngle) (/.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u)) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (.f32 (.f32 normAngle normAngle) (*.f32 n0_i #s(literal 1/6 binary32))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(.f32 (.f32 u (.f32 u u)) (neg.f32 (fma.f32 (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) u) #s(literal 1/2 binary32) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/3 n0_i) (* -1/6 n1_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 (neg.f32 (.f32 normAngle normAngle)) (/.f32 (fma.f32 n1_i #s(literal -1/6 binary32) (.f32 n0_i #s(literal -1/3 binary32))) u) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal -1/2 binary32))) (neg.f32 u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/3 n0_i) (* -1/6 n1_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
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(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
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(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 7/360 binary32)) (.f32 #s(literal 1/6 binary32) u))) u)
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (neg.f32 (.f32 normAngle normAngle)) (.f32 u #s(literal 7/360 binary32))) (.f32 #s(literal 1/6 binary32) u)) u)
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
(/ (* normAngle u) (sin normAngle))
(/.f32 (*.f32 normAngle u) (sin.f32 normAngle))
1
#s(literal 1 binary32)
(+ 1 (* 1/6 (pow normAngle 2)))
(fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))
(+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))
(fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))
(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
(/ normAngle (sin normAngle))
(/.f32 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
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)))
(+ 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) (neg.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32)))) (.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))
(* 1/3 u)
(*.f32 #s(literal 1/3 binary32) u)
(* u (+ 1/3 (* -1/2 u)))
(*.f32 u (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)))
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))
(*.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/2 binary32)) #s(literal 1/3 binary32)))
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))
(*.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/2 binary32)) #s(literal 1/3 binary32)))
(* 1/6 (pow u 3))
(.f32 #s(literal 1/6 binary32) (.f32 u (*.f32 u u)))
(* (pow u 3) (- 1/6 (* 1/2 (/ 1 u))))
(.f32 (.f32 u u) (*.f32 u (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/2 binary32) u))))
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))
(.f32 (.f32 u (*.f32 u u)) (+.f32 #s(literal 1/6 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)) u)))
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))
(.f32 (.f32 u (*.f32 u u)) (+.f32 #s(literal 1/6 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)) u)))
(* 1/6 (pow u 3))
(.f32 #s(literal 1/6 binary32) (.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6)))
(.f32 (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/2 binary32) u)) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))
(.f32 (.f32 u (*.f32 u u)) (neg.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)) u) #s(literal -1/6 binary32))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))
(.f32 (.f32 u (*.f32 u u)) (neg.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal -1/2 binary32) (/.f32 #s(literal 1/3 binary32) u)) u) #s(literal -1/6 binary32))))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
(* 1/6 n1_i)
(*.f32 n1_i #s(literal 1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(- (* 1/6 u) 1/6)
(fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32))
(- (* 1/6 u) 1/6)
(fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32))
(- (* 1/6 u) 1/6)
(fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32))
(* 1/6 u)
(*.f32 #s(literal 1/6 binary32) u)
(* u (- 1/6 (* 1/6 (/ 1 u))))
(*.f32 u (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) u)))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(*.f32 u (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) u)))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(*.f32 u (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) u)))
(* 1/6 u)
(*.f32 #s(literal 1/6 binary32) u)
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(neg.f32 (*.f32 u (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) u))))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(neg.f32 (*.f32 u (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) u))))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(neg.f32 (*.f32 u (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) u))))

eval253.0ms (1.6%)

Memory: -18.9MiB live, 589.9MiB allocated
Compiler: Compiled 66 186 to 4 112 computations (93.8% saved)

prune183.0ms (1.1%)

Memory

0.0MiB live, 474.6MiB allocated

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	1 447	23	1 470
Fresh	12	8	20
Picked	4	1	5
Done	0	1	1
Total	1 463	33	1 496

Accuracy

100.0%

Counts

1 496 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(fma.f32 (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))))) (.f32 normAngle normAngle) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
	97.4%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	74.1%	(fma.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))))) (.f32 n1_i u)) (-.f32 (.f32 n1_i u) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 n1_i u) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
▶	98.8%	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32))) (neg.f32 (.f32 normAngle normAngle))) u (.f32 (.f32 n1_i u) #s(literal 7/360 binary32))) (.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))
	76.5%	(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)
	98.6%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	98.2%	(fma.f32 u (fma.f32 (.f32 normAngle 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)
	98.8%	(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) n0_i)
	97.6%	(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) n0_i)
	83.7%	(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
	80.6%	(fma.f32 u n1_i (fma.f32 u n0_i n0_i))
	97.1%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
✓	82.0%	(fma.f32 u n1_i n0_i)
	82.5%	(fma.f32 n1_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))) n0_i)
	98.0%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/2 binary32)) #s(literal 1/3 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))))
	97.9%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 u (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))))
	33.4%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
	52.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n0_i n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) (pow.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) #s(literal 3 binary32)))))
	97.2%	(+.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
	97.7%	(+.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))
	81.8%	(+.f32 (*.f32 n1_i u) n0_i)
▶	82.9%	(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (neg.f32 (.f32 normAngle normAngle)) (.f32 u #s(literal 7/360 binary32))) (*.f32 #s(literal 1/6 binary32) u)) u) n1_i))
	82.7%	(+.f32 n0_i (.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 7/360 binary32)) (*.f32 #s(literal 1/6 binary32) u))) u) n1_i))
	82.8%	(+.f32 n0_i (.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n1_i))
	82.6%	(+.f32 n0_i (.f32 (.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))) n1_i))
	53.9%	(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
	40.6%	(.f32 u (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))))
	40.6%	(.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) u)) (fma.f32 u u #s(literal -1 binary32)) u))
▶	40.2%	(*.f32 n1_i u)
▶	53.9%	(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
▶	53.8%	(.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32)))
	81.7%	(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)))
✓	43.8%	n0_i

Compiler

Compiled 1 699 to 861 computations (49.3% saved)

simplify585.0ms (3.6%)

Memory

21.5MiB live, 861.5MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	32	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (neg.f32 (.f32 normAngle normAngle)) (.f32 u #s(literal 7/360 binary32))) (*.f32 #s(literal 1/6 binary32) u))
✓	cost-diff	64	(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (neg.f32 (.f32 normAngle normAngle)) (.f32 u #s(literal 7/360 binary32))) (*.f32 #s(literal 1/6 binary32) u)) u) n1_i))
✓	cost-diff	192	(fma.f32 u #s(literal 1/840 binary32) (*.f32 u #s(literal -7/2160 binary32)))
✓	cost-diff	256	(fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (neg.f32 (.f32 normAngle normAngle)) (*.f32 u #s(literal 7/360 binary32)))
✓	cost-diff	0	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	cost-diff	0	(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
✓	cost-diff	32	(.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 normAngle normAngle))
✓	cost-diff	128	(fma.f32 (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)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))
✓	cost-diff	-32	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))
✓	cost-diff	0	(fma.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32))
✓	cost-diff	0	(.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32)))
✓	cost-diff	0	(*.f32 n1_i u)
✓	cost-diff	32	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32))) (neg.f32 (.f32 normAngle normAngle))) u (.f32 (.f32 n1_i u) #s(literal 7/360 binary32))) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))))
✓	cost-diff	64	(.f32 (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32))) (neg.f32 (*.f32 normAngle normAngle)))
✓	cost-diff	192	(fma.f32 n1_i #s(literal -7/2160 binary32) (*.f32 n1_i #s(literal 1/840 binary32)))
✓	cost-diff	384	(fma.f32 (.f32 (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32))) (neg.f32 (.f32 normAngle normAngle))) u (.f32 (*.f32 n1_i u) #s(literal 7/360 binary32)))

Rules

22 934×	`accelerator-lowering-fma.f32`
22 934×	`accelerator-lowering-fma.f64`
5 590×	`-lowering-.f32`
5 590×	`-lowering-.f64`
4 682×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	427
1	189	422
2	654	393
3	2987	387
4	6392	375
0	8260	339

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))) (* u (+ (* n1_i 1/6) (* n0_i 1/3))))) (+ (* (- n1_i n0_i) u) n0_i))
(* normAngle normAngle)
normAngle
(+ (* (* normAngle normAngle) (+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))) (* u (+ (* n1_i 1/6) (* n0_i 1/3))))
(+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))
(* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle)))
(+ (* n1_i -7/2160) (* n1_i 1/840))
n1_i
-7/2160
(* n1_i 1/840)
1/840
(neg (* normAngle normAngle))
u
(* (* n1_i u) 7/360)
(* n1_i u)
7/360
(* u (+ (* n1_i 1/6) (* n0_i 1/3)))
(+ (* n1_i 1/6) (* n0_i 1/3))
1/6
(* n0_i 1/3)
n0_i
1/3
(+ (* (- n1_i n0_i) u) n0_i)
(- n1_i n0_i)
(* n1_i u)
n1_i
u
(* n0_i (+ (* (+ (* 1/3 (* normAngle normAngle)) -1) u) 1))
n0_i
(+ (* (+ (* 1/3 (* normAngle normAngle)) -1) u) 1)
(+ (* 1/3 (* normAngle normAngle)) -1)
1/3
(* normAngle normAngle)
normAngle
-1
u
1
(* n0_i (+ (* (+ (* (- 1 u) (- 1 u)) -1) (* (+ (* u 1/6) -1/6) (* normAngle normAngle))) (- 1 u)))
n0_i
(+ (* (+ (* (- 1 u) (- 1 u)) -1) (* (+ (* u 1/6) -1/6) (* normAngle normAngle))) (- 1 u))
(+ (* (- 1 u) (- 1 u)) -1)
(- 1 u)
1
u
-1
(* (+ (* u 1/6) -1/6) (* normAngle normAngle))
(+ (* u 1/6) -1/6)
1/6
-1/6
(* normAngle normAngle)
normAngle
(+ n0_i (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))) u) n1_i))
n0_i
(* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))) u) n1_i)
(+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))) u)
(* normAngle normAngle)
normAngle
(+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))
(+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))
(+ (* u 1/840) (* u -7/2160))
u
1/840
(* u -7/2160)
-7/2160
(neg (* normAngle normAngle))
(* u 7/360)
7/360
(* 1/6 u)
1/6
n1_i

Outputs
(+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))) (* u (+ (* n1_i 1/6) (* n0_i 1/3))))) (+ (* (- n1_i n0_i) u) n0_i))
(fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) (fma.f32 normAngle (.f32 normAngle (.f32 n1_i (.f32 u (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))))) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* normAngle normAngle)
(fma.f32 normAngle normAngle #s(literal 0 binary32))
normAngle
(+ (* (* normAngle normAngle) (+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))) (* u (+ (* n1_i 1/6) (* n0_i 1/3))))
(fma.f32 normAngle (.f32 normAngle (.f32 n1_i (.f32 u (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))))) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))))
(+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))
(.f32 n1_i (.f32 u (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))))
(* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle)))
(fma.f32 (.f32 normAngle (.f32 normAngle n1_i)) #s(literal 31/15120 binary32) #s(literal 0 binary32))
(+ (* n1_i -7/2160) (* n1_i 1/840))
(*.f32 n1_i #s(literal -31/15120 binary32))
n1_i
-7/2160
#s(literal -7/2160 binary32)
(* n1_i 1/840)
(*.f32 n1_i #s(literal 1/840 binary32))
1/840
#s(literal 1/840 binary32)
(neg (* normAngle normAngle))
(fma.f32 normAngle (neg.f32 normAngle) #s(literal 0 binary32))
u
(* (* n1_i u) 7/360)
(fma.f32 n1_i (fma.f32 u #s(literal 7/360 binary32) #s(literal 0 binary32)) #s(literal 0 binary32))
(* n1_i u)
(*.f32 n1_i u)
7/360
#s(literal 7/360 binary32)
(* u (+ (* n1_i 1/6) (* n0_i 1/3)))
(.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))))
(+ (* n1_i 1/6) (* n0_i 1/3))
(fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32)))
1/6
#s(literal 1/6 binary32)
(* n0_i 1/3)
(*.f32 n0_i #s(literal 1/3 binary32))
n0_i
1/3
#s(literal 1/3 binary32)
(+ (* (- n1_i n0_i) u) n0_i)
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(* n1_i u)
(*.f32 n1_i u)
n1_i
u
(* n0_i (+ (* (+ (* 1/3 (* normAngle normAngle)) -1) u) 1))
(*.f32 n0_i (fma.f32 u (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 1/3 binary32) #s(literal -1 binary32)) #s(literal 1 binary32)))
n0_i
(+ (* (+ (* 1/3 (* normAngle normAngle)) -1) u) 1)
(fma.f32 u (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 1/3 binary32) #s(literal -1 binary32)) #s(literal 1 binary32))
(+ (* 1/3 (* normAngle normAngle)) -1)
(fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 1/3 binary32) #s(literal -1 binary32))
1/3
#s(literal 1/3 binary32)
(* normAngle normAngle)
(fma.f32 normAngle normAngle #s(literal 0 binary32))
normAngle
-1
#s(literal -1 binary32)
u
1
#s(literal 1 binary32)
(* n0_i (+ (* (+ (* (- 1 u) (- 1 u)) -1) (* (+ (* u 1/6) -1/6) (* normAngle normAngle))) (- 1 u)))
(.f32 n0_i (fma.f32 u (.f32 (.f32 normAngle (.f32 normAngle (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)))) (+.f32 u #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u)))
n0_i
(+ (* (+ (* (- 1 u) (- 1 u)) -1) (* (+ (* u 1/6) -1/6) (* normAngle normAngle))) (- 1 u))
(fma.f32 u (.f32 (.f32 normAngle (*.f32 normAngle (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)))) (+.f32 u #s(literal -2 binary32))) (-.f32 #s(literal 1 binary32) u))
(+ (* (- 1 u) (- 1 u)) -1)
(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
-1
#s(literal -1 binary32)
(* (+ (* u 1/6) -1/6) (* normAngle normAngle))
(.f32 normAngle (.f32 normAngle (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))))
(+ (* u 1/6) -1/6)
(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
1/6
#s(literal 1/6 binary32)
-1/6
#s(literal -1/6 binary32)
(* normAngle normAngle)
(fma.f32 normAngle normAngle #s(literal 0 binary32))
normAngle
(+ n0_i (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))) u) n1_i))
(fma.f32 n1_i (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 0 binary32))) u) n0_i)
n0_i
(* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))) u) n1_i)
(.f32 n1_i (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) (fma.f32 (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 0 binary32))) u))
(+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))) u)
(fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 0 binary32))) u)
(* normAngle normAngle)
(fma.f32 normAngle normAngle #s(literal 0 binary32))
normAngle
(+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))
(fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 0 binary32)))
(+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))
(*.f32 u (fma.f32 (fma.f32 normAngle normAngle #s(literal 0 binary32)) #s(literal 31/15120 binary32) #s(literal 7/360 binary32)))
(+ (* u 1/840) (* u -7/2160))
(*.f32 u #s(literal -31/15120 binary32))
u
1/840
#s(literal 1/840 binary32)
(* u -7/2160)
(*.f32 #s(literal -7/2160 binary32) u)
-7/2160
#s(literal -7/2160 binary32)
(neg (* normAngle normAngle))
(fma.f32 normAngle (neg.f32 normAngle) #s(literal 0 binary32))
(* u 7/360)
(fma.f32 u #s(literal 7/360 binary32) #s(literal 0 binary32))
7/360
#s(literal 7/360 binary32)
(* 1/6 u)
(fma.f32 u #s(literal 1/6 binary32) #s(literal 0 binary32))
1/6
#s(literal 1/6 binary32)
n1_i

localize197.0ms (1.2%)

Memory

-0.9MiB live, 344.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.0%	(*.f32 #s(literal 1/6 binary32) u)
✓	accuracy	98.8%	(*.f32 u #s(literal 7/360 binary32))
✓	accuracy	98.7%	(fma.f32 u #s(literal 1/840 binary32) (*.f32 u #s(literal -7/2160 binary32)))
✓	accuracy	98.7%	(*.f32 u #s(literal -7/2160 binary32))
✓	accuracy	99.5%	(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
✓	accuracy	99.5%	(.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 normAngle normAngle))
✓	accuracy	99.1%	(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
✓	accuracy	55.6%	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	accuracy	100.0%	(*.f32 normAngle normAngle)
✓	accuracy	100.0%	(fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32))
✓	accuracy	99.9%	(fma.f32 (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32))
✓	accuracy	99.5%	(.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32)))
✓	accuracy	100.0%	(*.f32 n1_i u)
✓	accuracy	99.2%	(*.f32 n0_i #s(literal 1/3 binary32))
✓	accuracy	98.9%	(.f32 (.f32 n1_i u) #s(literal 7/360 binary32))
✓	accuracy	98.8%	(*.f32 n1_i #s(literal 1/840 binary32))
✓	accuracy	97.9%	(fma.f32 n1_i #s(literal -7/2160 binary32) (*.f32 n1_i #s(literal 1/840 binary32)))

Samples

101.0ms	247×	0	valid
9.0ms	5×	5	exit
3.0ms	4×	1	valid

Compiler

Compiled 424 to 62 computations (85.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 89.0ms

ival-mult: 45.0ms (50.6% of total)

ival-add: 19.0ms (21.4% of total)

const: 18.0ms (20.3% of total)

adjust: 2.0ms (2.3% of total)

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

ival-neg: 1.0ms (1.1% of total)

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

exact: 0.0ms (0% of total)

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

series51.0ms (0.3%)

Memory

2.0MiB live, 82.1MiB allocated

Counts

24 → 528

Calls

Call 1

Inputs
#<alt (+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))>
#<alt (+ (* n1_i -7/2160) (* n1_i 1/840))>
#<alt (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle)))>
#<alt (+ (* (* normAngle normAngle) (+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))) (* u (+ (* n1_i 1/6) (* n0_i 1/3))))>
#<alt (* n1_i u)>
#<alt (* n0_i (+ (* (+ (* 1/3 (* normAngle normAngle)) -1) u) 1))>
#<alt (+ (* (+ (* 1/3 (* normAngle normAngle)) -1) u) 1)>
#<alt (+ (* 1/3 (* normAngle normAngle)) -1)>
#<alt (* normAngle normAngle)>
#<alt (+ (* (+ (* (- 1 u) (- 1 u)) -1) (* (+ (* u 1/6) -1/6) (* normAngle normAngle))) (- 1 u))>
#<alt (* (+ (* u 1/6) -1/6) (* normAngle normAngle))>
#<alt (* n0_i (+ (* (+ (* (- 1 u) (- 1 u)) -1) (* (+ (* u 1/6) -1/6) (* normAngle normAngle))) (- 1 u)))>
#<alt (+ (* (- 1 u) (- 1 u)) -1)>
#<alt (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))>
#<alt (+ (* u 1/840) (* u -7/2160))>
#<alt (+ n0_i (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))) u) n1_i))>
#<alt (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))>
#<alt (* n1_i 1/840)>
#<alt (* (* n1_i u) 7/360)>
#<alt (* n0_i 1/3)>
#<alt (+ (* u 1/6) -1/6)>
#<alt (* u -7/2160)>
#<alt (* u 7/360)>
#<alt (* 1/6 u)>

Outputs
#<alt (* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))>
#<alt (* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))>
#<alt (* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))>
#<alt (* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))>
#<alt (* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))>
#<alt (* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))>
#<alt (* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))>
#<alt (* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))>
#<alt (* -1 (* n1_i (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n1_i (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n1_i (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u)))))>
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#<alt (* 7/360 (* n1_i u))>
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#<alt (* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))>
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#<alt (* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))>
#<alt (* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))>
#<alt (* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))>
#<alt (* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))>
#<alt (* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))>
#<alt (* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))>
#<alt (* -1 (* u (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))>
#<alt (* -1 (* u (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))>
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#<alt (* -31/15120 n1_i)>
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#<alt (* -31/15120 n1_i)>
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#<alt (* -31/15120 n1_i)>
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#<alt (* -31/15120 n1_i)>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* 31/15120 (* n1_i (pow normAngle 2)))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))>
#<alt (* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))>
#<alt (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))>
#<alt (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))))>
#<alt (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))))>
#<alt (* -1 (* (pow normAngle 4) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))>
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#<alt (* (pow normAngle 4) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))>
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#<alt (* (pow normAngle 4) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))>
#<alt (* 1/3 (* n0_i u))>
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#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u))))))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u))))))))>
#<alt (* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u))))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))>
#<alt (* -1 (* u (+ (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))>
#<alt (* -1 (* u (+ (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))>
#<alt (* -1 (* u (+ (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))>
#<alt (* -1 (* u (+ (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))>
#<alt (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))))>
#<alt (+ (* 1/6 (* n1_i u)) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))))>
#<alt (+ (* 1/6 (* n1_i u)) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))))>
#<alt (+ (* 1/6 (* n1_i u)) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/3 u) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))) n0_i))))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/3 u) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))) n0_i))))>
#<alt (* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/3 u) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))) n0_i))))>
#<alt (* 1/3 (* n0_i u))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))) n0_i)) (* -1/3 u))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))) n0_i)) (* -1/3 u))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))) n0_i)) (* -1/3 u))))>
#<alt (* n1_i u)>
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#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n0_i (+ 1 (* -1 u))))>
#<alt (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n0_i (+ 1 (* -1 u))))>
#<alt (+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n0_i (+ 1 (* -1 u))))>
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))>
#<alt (* 1/3 (* n0_i (* (pow normAngle 2) u)))>
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))>
#<alt n0_i>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))>
#<alt (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))>
#<alt (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))>
#<alt (* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))>
#<alt (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))>
#<alt (+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))>
#<alt (* 1/3 (* (pow normAngle 2) u))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))>
#<alt (* 1/3 (* (pow normAngle 2) u))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))>
#<alt 1>
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#<alt (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))>
#<alt (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))>
#<alt (* u (- (* 1/3 (pow normAngle 2)) 1))>
#<alt (* u (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))>
#<alt (* u (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))>
#<alt (* u (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))>
#<alt (* u (- (* 1/3 (pow normAngle 2)) 1))>
#<alt (* -1 (* u (- (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (/ 1 u))))>
#<alt (* -1 (* u (- (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (/ 1 u))))>
#<alt (* -1 (* u (- (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (/ 1 u))))>
#<alt -1>
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#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (- (* 1/3 (pow normAngle 2)) 1)>
#<alt (* 1/3 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* 1/3 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt 1>
#<alt (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))>
#<alt (+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))>
#<alt (+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))>
#<alt (* 1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))>
#<alt (* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2))))>
#<alt (* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2))))>
#<alt (* 1/6 (* (pow normAngle 2) (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))>
#<alt (- 1 u)>
#<alt (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)>
#<alt (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)>
#<alt (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))>
#<alt (* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))>
#<alt (* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))>
#<alt (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))>
#<alt (+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))>
#<alt (* 1/6 (* (pow normAngle 2) u))>
#<alt (* u (+ (* -1/6 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))>
#<alt (* u (+ (* -1/6 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))>
#<alt (* u (+ (* -1/6 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))>
#<alt (* 1/6 (* (pow normAngle 2) u))>
#<alt (* -1 (* u (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) u)))))>
#<alt (* -1 (* u (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) u)))))>
#<alt (* -1 (* u (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) u)))))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* (pow normAngle 2) (- (* 1/6 u) 1/6))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt (* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))>
#<alt n0_i>
#<alt (+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))>
#<alt (+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))>
#<alt (+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))>
#<alt (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))>
#<alt (+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))>
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))>
#<alt (* -2 u)>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* u (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* u (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* u (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* u (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* u (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* u (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* u (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* u (+ 7/360 (* 31/15120 (pow normAngle 2))))>
#<alt (* -1 (* u (- (* -31/15120 (pow normAngle 2)) 7/360)))>
#<alt (* -1 (* u (- (* -31/15120 (pow normAngle 2)) 7/360)))>
#<alt (* -1 (* u (- (* -31/15120 (pow normAngle 2)) 7/360)))>
#<alt (* -1 (* u (- (* -31/15120 (pow normAngle 2)) 7/360)))>
#<alt (* 7/360 u)>
#<alt (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))>
#<alt (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))>
#<alt (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u))))>
#<alt (* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))>
#<alt (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u))))>
#<alt (* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* -31/15120 u)>
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u)))))))>
#<alt (+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))>
#<alt (+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))>
#<alt (+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)) 1)))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u))))) (* 7/360 (* n1_i u))))))))>
#<alt (* -1 (* n1_i (* (pow normAngle 6) (+ (* -7/2160 u) (* 1/840 u)))))>
#<alt (* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (* 1/6 (/ (* n1_i u) (pow normAngle 4))))))>
#<alt (* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* n1_i u) (pow normAngle 6)))))))>
#<alt (* -1 (* n1_i (* (pow normAngle 6) (+ (* -7/2160 u) (* 1/840 u)))))>
#<alt (* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))>
#<alt (* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (* 1/6 (/ (* n1_i u) (pow normAngle 4))))))>
#<alt (* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* n1_i u) (pow normAngle 6)))))))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))))>
#<alt (+ n0_i (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))))>
#<alt (+ n0_i (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))))>
#<alt (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))>
#<alt (* u (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i u)))>
#<alt (* u (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i u)))>
#<alt (* u (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i u)))>
#<alt (* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))>
#<alt (+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))>
#<alt (+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u)))))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))) (/ n0_i n1_i))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u)))))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) (* -1 (/ n0_i n1_i)))))>
#<alt (* 1/6 u)>
#<alt (+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))>
#<alt (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))>
#<alt (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))>
#<alt (* -1 (* (pow normAngle 4) (+ (* -7/2160 u) (* 1/840 u))))>
#<alt (* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))>
#<alt (* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (+ (* 7/360 (/ u (pow normAngle 2))) (* 1/6 (/ u (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (+ (* 7/360 (/ u (pow normAngle 2))) (* 1/6 (/ u (pow normAngle 4))))))>
#<alt (* -1 (* (pow normAngle 4) (+ (* -7/2160 u) (* 1/840 u))))>
#<alt (* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))>
#<alt (* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (+ (* 7/360 (/ u (pow normAngle 2))) (* 1/6 (/ u (pow normAngle 4))))))>
#<alt (* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (+ (* 7/360 (/ u (pow normAngle 2))) (* 1/6 (/ u (pow normAngle 4))))))>
#<alt (* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))>
#<alt (* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))>
#<alt (* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))>
#<alt (* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))>
#<alt (* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))>
#<alt (* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))>
#<alt (* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))>
#<alt (* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))>
#<alt (* -1 (* u (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)))>
#<alt (* -1 (* u (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)))>
#<alt (* -1 (* u (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)))>
#<alt (* -1 (* u (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)))>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 1/840 n1_i)>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 7/360 (* n1_i u))>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt (* 1/3 n0_i)>
#<alt -1/6>
#<alt (- (* 1/6 u) 1/6)>
#<alt (- (* 1/6 u) 1/6)>
#<alt (- (* 1/6 u) 1/6)>
#<alt (* 1/6 u)>
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))>
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))>
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))>
#<alt (* 1/6 u)>
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))>
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))>
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* -7/2160 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 7/360 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>
#<alt (* 1/6 u)>

Calls

132 calls:

Time	Variable		Point	Expression
4.0ms	u	@	0	(+ (* (* normAngle normAngle) (+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))) (* u (+ (* n1_i 1/6) (* n0_i 1/3))))
3.0ms	n1_i	@	-inf	(* (* n1_i u) 7/360)
2.0ms	n1_i	@	0	(+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))
1.0ms	u	@	0	(+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))
1.0ms	n0_i	@	0	(+ n0_i (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))) u) n1_i))

rewrite435.0ms (2.7%)

Memory

-13.9MiB live, 830.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 104×	`-lowering-.f32`
5 104×	`-lowering-.f64`
4 794×	`accelerator-lowering-fma.f32`
4 794×	`accelerator-lowering-fma.f64`
2 852×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	244
1	352	241
2	3226	241
0	8347	222

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 664

Calls

Call 1

Inputs
(+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))
(+ (* n1_i -7/2160) (* n1_i 1/840))
(* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle)))
(+ (* (* normAngle normAngle) (+ (* (* (+ (* n1_i -7/2160) (* n1_i 1/840)) (neg (* normAngle normAngle))) u) (* (* n1_i u) 7/360))) (* u (+ (* n1_i 1/6) (* n0_i 1/3))))
(* n1_i u)
(* n0_i (+ (* (+ (* 1/3 (* normAngle normAngle)) -1) u) 1))
(+ (* (+ (* 1/3 (* normAngle normAngle)) -1) u) 1)
(+ (* 1/3 (* normAngle normAngle)) -1)
(* normAngle normAngle)
(+ (* (+ (* (- 1 u) (- 1 u)) -1) (* (+ (* u 1/6) -1/6) (* normAngle normAngle))) (- 1 u))
(* (+ (* u 1/6) -1/6) (* normAngle normAngle))
(* n0_i (+ (* (+ (* (- 1 u) (- 1 u)) -1) (* (+ (* u 1/6) -1/6) (* normAngle normAngle))) (- 1 u)))
(+ (* (- 1 u) (- 1 u)) -1)
(+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))
(+ (* u 1/840) (* u -7/2160))
(+ n0_i (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))) u) n1_i))
(+ (* (* normAngle normAngle) (+ (* (+ (* u 1/840) (* u -7/2160)) (neg (* normAngle normAngle))) (* u 7/360))) (* 1/6 u))
(* n1_i 1/840)
(* (* n1_i u) 7/360)
(* n0_i 1/3)
(+ (* u 1/6) -1/6)
(* u -7/2160)
(* u 7/360)
(* 1/6 u)

Outputs
(+.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u))) (.f32 n1_i (.f32 u #s(literal 7/360 binary32))))
(+.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u))))
(pow.f32 (/.f32 (fma.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (-.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)))) (.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))))) (fma.f32 (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -29791/3456649728000 binary32)) (.f32 (.f32 u (.f32 u u)) (neg.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))))) (.f32 (.f32 (.f32 u (.f32 u u)) #s(literal 343/46656000 binary32)) (.f32 n1_i (.f32 n1_i n1_i))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 #s(literal -7/360 binary32) (.f32 n1_i u))) (fma.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))) (neg.f32 (.f32 (.f32 (.f32 u u) #s(literal 49/129600 binary32)) (*.f32 n1_i n1_i))))) #s(literal -1 binary32))
(fma.f32 n1_i (.f32 u #s(literal 7/360 binary32)) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (*.f32 normAngle normAngle) u))))
(fma.f32 n1_i (.f32 #s(literal -31/15120 binary32) (neg.f32 (.f32 (.f32 normAngle normAngle) u))) (.f32 n1_i (*.f32 u #s(literal 7/360 binary32))))
(fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 n1_i (*.f32 u #s(literal 7/360 binary32))))
(fma.f32 (-.f32 #s(literal 0 binary32) (.f32 normAngle normAngle)) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) u) (.f32 n1_i (*.f32 u #s(literal 7/360 binary32))))
(fma.f32 (neg.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))) u (.f32 n1_i (*.f32 u #s(literal 7/360 binary32))))
(fma.f32 u (neg.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))) (.f32 n1_i (*.f32 u #s(literal 7/360 binary32))))
(fma.f32 u (.f32 n1_i #s(literal 7/360 binary32)) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (*.f32 normAngle normAngle) u))))
(fma.f32 (.f32 n1_i u) #s(literal 7/360 binary32) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (*.f32 normAngle normAngle) u))))
(fma.f32 #s(literal 7/360 binary32) (.f32 n1_i u) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (*.f32 normAngle normAngle) u))))
(fma.f32 (.f32 u #s(literal 7/360 binary32)) n1_i (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (*.f32 normAngle normAngle) u))))
(fma.f32 (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i (*.f32 u #s(literal 7/360 binary32))))
(fma.f32 (.f32 n1_i #s(literal 7/360 binary32)) u (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (*.f32 normAngle normAngle) u))))
(fma.f32 (.f32 #s(literal 7/360 binary32) n1_i) u (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (*.f32 normAngle normAngle) u))))
(fma.f32 (.f32 u (.f32 n1_i #s(literal -31/15120 binary32))) (-.f32 #s(literal 0 binary32) (.f32 normAngle normAngle)) (.f32 n1_i (*.f32 u #s(literal 7/360 binary32))))
(-.f32 (/.f32 (.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))))) (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 #s(literal -7/360 binary32) (.f32 n1_i u)))) (/.f32 (.f32 (.f32 (.f32 u u) #s(literal 49/129600 binary32)) (.f32 n1_i n1_i)) (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 #s(literal -7/360 binary32) (*.f32 n1_i u)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (-.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)))) (.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))))) (fma.f32 (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -29791/3456649728000 binary32)) (.f32 (.f32 u (.f32 u u)) (neg.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))))) (.f32 (.f32 (.f32 u (.f32 u u)) #s(literal 343/46656000 binary32)) (.f32 n1_i (.f32 n1_i n1_i)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 #s(literal -7/360 binary32) (.f32 n1_i u))) (fma.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))) (neg.f32 (.f32 (.f32 (.f32 u u) #s(literal 49/129600 binary32)) (*.f32 n1_i n1_i)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (-.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)))) (.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))))) (fma.f32 (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -29791/3456649728000 binary32)) (.f32 (.f32 u (.f32 u u)) (neg.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))))) (.f32 (.f32 (.f32 u (.f32 u u)) #s(literal 343/46656000 binary32)) (.f32 n1_i (.f32 n1_i n1_i))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 #s(literal -7/360 binary32) (.f32 n1_i u))) (fma.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))) (neg.f32 (.f32 (.f32 (.f32 u u) #s(literal 49/129600 binary32)) (*.f32 n1_i n1_i))))))
(/.f32 (fma.f32 (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -29791/3456649728000 binary32)) (.f32 (.f32 u (.f32 u u)) (neg.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))))) (.f32 (.f32 (.f32 u (.f32 u u)) #s(literal 343/46656000 binary32)) (.f32 n1_i (.f32 n1_i n1_i)))) (fma.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (-.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)))) (.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))))))
(/.f32 (fma.f32 (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -29791/3456649728000 binary32)) (.f32 (.f32 u (.f32 u u)) (neg.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))))) (.f32 (.f32 (.f32 u (.f32 u u)) #s(literal 343/46656000 binary32)) (.f32 n1_i (.f32 n1_i n1_i)))) (fma.f32 (.f32 (.f32 u u) #s(literal 49/129600 binary32)) (.f32 n1_i n1_i) (-.f32 (.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))))) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 n1_i (.f32 u #s(literal 7/360 binary32))))))))
(/.f32 (fma.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle)))) (neg.f32 (.f32 (.f32 (.f32 u u) #s(literal 49/129600 binary32)) (.f32 n1_i n1_i)))) (fma.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 #s(literal -7/360 binary32) (*.f32 n1_i u))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -29791/3456649728000 binary32)) (.f32 (.f32 u (.f32 u u)) (neg.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))))) (.f32 (.f32 (.f32 u (.f32 u u)) #s(literal 343/46656000 binary32)) (.f32 n1_i (.f32 n1_i n1_i))))) (neg.f32 (fma.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (-.f32 (.f32 n1_i (.f32 u #s(literal 7/360 binary32))) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (neg.f32 (.f32 (.f32 normAngle normAngle) u)))) (.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))))))))
(/.f32 (neg.f32 (fma.f32 (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -29791/3456649728000 binary32)) (.f32 (.f32 u (.f32 u u)) (neg.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle))))) (.f32 (.f32 (.f32 u (.f32 u u)) #s(literal 343/46656000 binary32)) (.f32 n1_i (.f32 n1_i n1_i))))) (neg.f32 (fma.f32 (.f32 (.f32 u u) #s(literal 49/129600 binary32)) (.f32 n1_i n1_i) (-.f32 (.f32 (.f32 u u) (.f32 (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))) (.f32 n1_i (.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle))))) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 (neg.f32 (.f32 (.f32 normAngle normAngle) u)) (.f32 n1_i (.f32 u #s(literal 7/360 binary32)))))))))
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(/.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 (.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 (*.f32 u u) #s(literal 1/36 binary32) #s(literal -1/36 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))) (neg.f32 (-.f32 (fma.f32 (.f32 u u) #s(literal 1/36 binary32) #s(literal 1/36 binary32)) (.f32 u #s(literal -1/36 binary32)))))
(/.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (-.f32 (.f32 (.f32 u u) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 u u) #s(literal 1/36 binary32) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))))
(/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal 1/36 binary32))) (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 u u) #s(literal 1/36 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)))) (neg.f32 (neg.f32 (-.f32 (fma.f32 (.f32 u u) #s(literal 1/36 binary32) #s(literal 1/36 binary32)) (.f32 u #s(literal -1/36 binary32))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 u u) #s(literal 1/36 binary32) #s(literal -1/36 binary32)))) (neg.f32 (neg.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) #s(literal 1/36 binary32)))) (neg.f32 (-.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))))
(.f32 (fma.f32 (.f32 u (.f32 u u)) #s(literal 1/216 binary32) #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (fma.f32 (.f32 u u) #s(literal 1/36 binary32) #s(literal 1/36 binary32)) (*.f32 u #s(literal -1/36 binary32)))))
(.f32 (fma.f32 (.f32 u u) #s(literal 1/36 binary32) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u #s(literal 1/6 binary32) #s(literal 1/6 binary32))))
(*.f32 #s(literal -7/2160 binary32) u)
(*.f32 u #s(literal -7/2160 binary32))
(*.f32 u #s(literal 7/360 binary32))
(*.f32 #s(literal 7/360 binary32) u)
(*.f32 u #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) u)

simplify535.0ms (3.3%)

Memory

35.8MiB live, 740.5MiB allocated

Algorithm

1×	egg-herbie

Rules

13 446×	`accelerator-lowering-fma.f32`
13 446×	`accelerator-lowering-fma.f64`
7 426×	`-lowering-.f32`
7 426×	`-lowering-.f64`
2 628×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	428	6959
1	1477	6440
2	5714	6217
0	8417	5688

Stop Event

1×	iter limit
1×	node limit

Counts

528 → 528

Calls

Call 1

Inputs
(* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))
(* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))
(* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))
(* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))
(* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))
(* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))
(* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))
(* n1_i (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))
(* -1 (* n1_i (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u)))))
(* 7/360 (* n1_i u))
(+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))
(+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))
(+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))
(* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 2) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 2) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))
(* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))
(* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))
(* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))
(* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))
(* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))
(* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))
(* u (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))
(* -1 (* u (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))
(* -1 (* u (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))
(* -1 (* u (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))
(* -1 (* u (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* -31/15120 n1_i)
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* 31/15120 (* n1_i (pow normAngle 2)))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))
(* u (+ (* 1/6 n1_i) (* 1/3 n0_i)))
(+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))))
(+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))))
(* -1 (* (pow normAngle 4) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 4) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 4) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(* (pow normAngle 4) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(* -1 (* (pow normAngle 4) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 4) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 4) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(* (pow normAngle 4) (+ (* -1 (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(* 1/3 (* n0_i u))
(+ (* 1/3 (* n0_i u)) (* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u))))))
(+ (* 1/3 (* n0_i u)) (* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u))))))
(+ (* 1/3 (* n0_i u)) (* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u))))))
(* n1_i (+ (* 1/6 u) (* (pow normAngle 2) (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u)))))
(* n1_i (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (* (pow normAngle 2) (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u))))))
(* n1_i (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (* (pow normAngle 2) (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u))))))
(* n1_i (+ (* 1/6 u) (+ (* 1/3 (/ (* n0_i u) n1_i)) (* (pow normAngle 2) (+ (* 31/15120 (* (pow normAngle 2) u)) (* 7/360 u))))))
(* -1 (* n1_i (+ (* -1/6 u) (* (pow normAngle 2) (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u)))))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u))))))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u))))))))
(* -1 (* n1_i (+ (* -1/3 (/ (* n0_i u) n1_i)) (+ (* -1/6 u) (* (pow normAngle 2) (+ (* -7/360 u) (* -31/15120 (* (pow normAngle 2) u))))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(* u (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))
(* -1 (* u (+ (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))
(* -1 (* u (+ (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))
(* -1 (* u (+ (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))
(* -1 (* u (+ (* -1 (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* -7/360 n1_i) (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))
(+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))))
(+ (* 1/6 (* n1_i u)) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))))
(+ (* 1/6 (* n1_i u)) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))))
(+ (* 1/6 (* n1_i u)) (+ (* 1/3 (* n0_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))))
(* 1/3 (* n0_i u))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/3 u) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))) n0_i))))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/3 u) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))) n0_i))))
(* n0_i (+ (* 1/6 (/ (* n1_i u) n0_i)) (+ (* 1/3 u) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u)))) n0_i))))
(* 1/3 (* n0_i u))
(* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))) n0_i)) (* -1/3 u))))
(* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))) n0_i)) (* -1/3 u))))
(* -1 (* n0_i (+ (* -1 (/ (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (* u (+ (* -7/2160 n1_i) (* 1/840 n1_i))))) (* 7/360 (* n1_i u))))) n0_i)) (* -1/3 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 (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (+ 1 (* -1 u)))
(+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n0_i (+ 1 (* -1 u))))
(+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n0_i (+ 1 (* -1 u))))
(+ (* 1/3 (* n0_i (* (pow normAngle 2) u))) (* n0_i (+ 1 (* -1 u))))
(* 1/3 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))
(* 1/3 (* n0_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/3 (* n0_i u)) (/ (* n0_i (+ 1 (* -1 u))) (pow normAngle 2))))
n0_i
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))
(* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (/ n0_i u)))
(* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1)))
(* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (* n0_i (- (* 1/3 (pow normAngle 2)) 1))) (* -1 (/ n0_i u)))))
(+ 1 (* -1 u))
(+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))
(+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))
(+ 1 (+ (* -1 u) (* 1/3 (* (pow normAngle 2) u))))
(* 1/3 (* (pow normAngle 2) u))
(* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))
(* 1/3 (* (pow normAngle 2) u))
(* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (/ u (pow normAngle 2))) (+ (* 1/3 u) (/ 1 (pow normAngle 2)))))
1
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))
(* u (- (* 1/3 (pow normAngle 2)) 1))
(* u (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))
(* u (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))
(* u (- (+ (* 1/3 (pow normAngle 2)) (/ 1 u)) 1))
(* u (- (* 1/3 (pow normAngle 2)) 1))
(* -1 (* u (- (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (/ 1 u))))
(* -1 (* u (- (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (/ 1 u))))
(* -1 (* u (- (* -1 (- (* 1/3 (pow normAngle 2)) 1)) (/ 1 u))))
-1
(- (* 1/3 (pow normAngle 2)) 1)
(- (* 1/3 (pow normAngle 2)) 1)
(- (* 1/3 (pow normAngle 2)) 1)
(* 1/3 (pow normAngle 2))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* 1/3 (pow normAngle 2))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(* (pow normAngle 2) (- 1/3 (/ 1 (pow normAngle 2))))
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
1
(+ 1 (* u (- (* 1/3 (pow normAngle 2)) 1)))
(+ 1 (* u (- (+ (* -1/2 (* (pow normAngle 2) u)) (* 1/3 (pow normAngle 2))) 1)))
(+ 1 (* u (- (+ (* 1/3 (pow normAngle 2)) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u))))) 1)))
(* 1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/2 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (* 1/3 (/ (pow normAngle 2) (pow u 2))))) (/ 1 (pow u 2))))
(* (pow u 3) (- (+ (* -1/2 (/ (pow normAngle 2) u)) (+ (* 1/6 (pow normAngle 2)) (+ (* 1/3 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 3))))) (/ 1 (pow u 2))))
(* 1/6 (* (pow normAngle 2) (pow u 3)))
(* -1 (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (* 1/2 (/ (pow normAngle 2) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ 1 (* -1/3 (pow normAngle 2))) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ 1 (* -1/3 (pow normAngle 2))) (/ 1 u)) u)) (* -1/2 (pow normAngle 2))) u)) (* -1/6 (pow normAngle 2)))))
(- 1 u)
(- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)
(- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)
(- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u)
(* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))
(* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))
(* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (- (+ (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)) (/ 1 (pow normAngle 2))) (/ u (pow normAngle 2))))
(* -1/6 (pow normAngle 2))
(+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))
(+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))
(+ (* -1/6 (pow normAngle 2)) (* 1/6 (* (pow normAngle 2) u)))
(* 1/6 (* (pow normAngle 2) u))
(* u (+ (* -1/6 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))
(* u (+ (* -1/6 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))
(* u (+ (* -1/6 (/ (pow normAngle 2) u)) (* 1/6 (pow normAngle 2))))
(* 1/6 (* (pow normAngle 2) u))
(* -1 (* u (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) u)))))
(* -1 (* u (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) u)))))
(* -1 (* u (+ (* -1/6 (pow normAngle 2)) (* 1/6 (/ (pow normAngle 2) u)))))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* (pow normAngle 2) (- (* 1/6 u) 1/6))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
(* n0_i (- (+ 1 (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) u))
n0_i
(+ n0_i (* n0_i (* u (- (* 1/3 (pow normAngle 2)) 1))))
(+ n0_i (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n0_i (- (* 1/3 (pow normAngle 2)) 1)))))
(+ n0_i (* u (+ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ (* n0_i (- (* 1/3 (pow normAngle 2)) 1)) (pow u 2))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* n0_i (+ 1 (* -1/3 (pow normAngle 2)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1/3 (pow normAngle 2))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* n0_i (- 1 u))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))
(+ (* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1)))) (* n0_i (- 1 u)))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* n0_i (* (pow normAngle 2) (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n0_i (* (- (* 1/6 u) 1/6) (- (pow (- 1 u) 2) 1))) (/ (* n0_i (- 1 u)) (pow normAngle 2))))
(* -2 u)
(* u (- u 2))
(* u (- u 2))
(* u (- u 2))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* u (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* u (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* u (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* u (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* u (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* u (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* u (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* u (+ 7/360 (* 31/15120 (pow normAngle 2))))
(* -1 (* u (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* -1 (* u (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* -1 (* u (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* -1 (* u (- (* -31/15120 (pow normAngle 2)) 7/360)))
(* 7/360 u)
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))
(+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))
(* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* -31/15120 u)
(* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u)))))))
(+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))
(+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))
(+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))
n0_i
(* n0_i (+ 1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)))
(* n0_i (+ 1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)))
(* n0_i (+ 1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) n0_i)) 1)))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (+ (* 7/360 (* n1_i (* (pow normAngle 2) u))) (* 1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (* (pow normAngle 2) (+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u))))) (* 7/360 (* n1_i u))))))))
(* -1 (* n1_i (* (pow normAngle 6) (+ (* -7/2160 u) (* 1/840 u)))))
(* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (* 1/6 (/ (* n1_i u) (pow normAngle 4))))))
(* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* n1_i u) (pow normAngle 6)))))))
(* -1 (* n1_i (* (pow normAngle 6) (+ (* -7/2160 u) (* 1/840 u)))))
(* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 (/ (* n1_i u) (pow normAngle 2)))))
(* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (* 1/6 (/ (* n1_i u) (pow normAngle 4))))))
(* (pow normAngle 6) (+ (* -1 (* n1_i (+ (* -7/2160 u) (* 1/840 u)))) (+ (* 7/360 (/ (* n1_i u) (pow normAngle 2))) (+ (* 1/6 (/ (* n1_i u) (pow normAngle 4))) (+ (/ n0_i (pow normAngle 6)) (/ (* n1_i u) (pow normAngle 6)))))))
n0_i
(+ n0_i (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))))
(+ n0_i (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))))
(+ n0_i (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))
(* u (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i u)))
(* u (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i u)))
(* u (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (/ n0_i u)))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n1_i (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
n0_i
(+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))
(+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))
(+ n0_i (* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u)))))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))) (/ n0_i n1_i))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))) (/ n0_i n1_i))))
(* n1_i (+ u (+ (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))) (/ n0_i n1_i))))
(* n1_i (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))))) (* -1 (/ n0_i n1_i)))))
(* 1/6 u)
(+ (* 7/360 (* (pow normAngle 2) u)) (* 1/6 u))
(+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))
(+ (* 1/6 u) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 u) (* 1/840 u)))) (* 7/360 u))))
(* -1 (* (pow normAngle 4) (+ (* -7/2160 u) (* 1/840 u))))
(* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))
(* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (+ (* 7/360 (/ u (pow normAngle 2))) (* 1/6 (/ u (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (+ (* 7/360 (/ u (pow normAngle 2))) (* 1/6 (/ u (pow normAngle 4))))))
(* -1 (* (pow normAngle 4) (+ (* -7/2160 u) (* 1/840 u))))
(* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (* 7/360 (/ u (pow normAngle 2)))))
(* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (+ (* 7/360 (/ u (pow normAngle 2))) (* 1/6 (/ u (pow normAngle 4))))))
(* (pow normAngle 4) (+ (* -1 (+ (* -7/2160 u) (* 1/840 u))) (+ (* 7/360 (/ u (pow normAngle 2))) (* 1/6 (/ u (pow normAngle 4))))))
(* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))
(* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))
(* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))
(* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))
(* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))
(* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))
(* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))
(* u (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))
(* -1 (* u (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)))
(* -1 (* u (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)))
(* -1 (* u (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)))
(* -1 (* u (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)))
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 1/840 n1_i)
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 7/360 (* n1_i u))
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
(* 1/3 n0_i)
-1/6
(- (* 1/6 u) 1/6)
(- (* 1/6 u) 1/6)
(- (* 1/6 u) 1/6)
(* 1/6 u)
(* u (- 1/6 (* 1/6 (/ 1 u))))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(* 1/6 u)
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* -7/2160 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 7/360 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)
(* 1/6 u)

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

eval295.0ms (1.8%)

Memory: 2.8MiB live, 232.2MiB allocated
Compiler: Compiled 63 662 to 3 348 computations (94.7% saved)

prune296.0ms (1.8%)

Memory

-7.0MiB live, 283.1MiB allocated

Pruning

39 alts after pruning (35 fresh and 4 done)

	Pruned	Kept	Total
New	1 332	12	1 344
Fresh	3	23	26
Picked	3	2	5
Done	0	2	2
Total	1 338	39	1 377

Accuracy

100.0%

Counts

1 377 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(fma.f32 (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))))) (.f32 normAngle normAngle) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
	97.4%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	74.1%	(fma.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))))) (.f32 n1_i u)) (-.f32 (.f32 n1_i u) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 n1_i u) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	98.2%	(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal 1/3 binary32) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	97.6%	(fma.f32 (.f32 normAngle normAngle) (.f32 u (*.f32 #s(literal 1/3 binary32) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	98.6%	(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	82.8%	(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (fma.f32 n1_i u n0_i))
	82.9%	(fma.f32 (.f32 n1_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) n0_i)
	76.5%	(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)
	98.6%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	98.2%	(fma.f32 u (fma.f32 (.f32 normAngle 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)
	98.8%	(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) n0_i)
	97.6%	(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) n0_i)
	83.7%	(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
	54.0%	(fma.f32 u (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32))) n0_i)
	80.6%	(fma.f32 u n1_i (fma.f32 u n0_i n0_i))
	97.1%	(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
✓	82.0%	(fma.f32 u n1_i n0_i)
	82.5%	(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n0_i)
	98.0%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/2 binary32)) #s(literal 1/3 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))))
	97.9%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 u (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))))
	33.4%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
	52.0%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n0_i n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) (pow.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) #s(literal 3 binary32)))))
	97.2%	(+.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
	97.7%	(+.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))
	81.8%	(+.f32 (*.f32 n1_i u) n0_i)
	82.7%	(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) u) n1_i))
	82.8%	(+.f32 n0_i (.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n1_i))
	82.6%	(+.f32 n0_i (.f32 (.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))) n1_i))
	41.0%	(.f32 (.f32 n1_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
	53.9%	(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
	40.6%	(.f32 u (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))))
✓	40.2%	(*.f32 n1_i u)
✓	53.8%	(.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32)))
	53.9%	(.f32 n0_i (fma.f32 (.f32 u (+.f32 u #s(literal -2 binary32))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
	82.7%	(.f32 n0_i (fma.f32 n1_i (/.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) #s(literal 1 binary32)))
	81.7%	(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)))
	53.7%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	43.8%	n0_i

Compiler

Compiled 2 659 to 830 computations (68.8% saved)

regimes146.0ms (0.9%)

Memory

34.3MiB live, 146.1MiB allocated

Counts

77 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)
(fma.f32 u n1_i n0_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 n0_i (*.f32 u n1_i))
(+.f32 (*.f32 n1_i u) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u n1_i (fma.f32 u n0_i n0_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 u (.f32 n1_i (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))))
(*.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)))
(.f32 n0_i (fma.f32 (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) u #s(literal 1 binary32)))
(fma.f32 n1_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32))) n0_i)
(fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 u (.f32 n0_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 u (*.f32 #s(literal 1/3 binary32) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle 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)
(.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u))
(.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) u)) (fma.f32 u u #s(literal -1 binary32)) u))
(fma.f32 n1_i (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 normAngle normAngle))) (fma.f32 u u #s(literal -1 binary32)) u) n0_i)
(fma.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/3 binary32) n0_i (.f32 #s(literal 1/6 binary32) n1_i)) (neg.f32 n0_i))) n0_i)
(+.f32 n0_i (.f32 (.f32 u (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))) n1_i))
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal 1/3 binary32) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(.f32 n0_i (fma.f32 (.f32 u (+.f32 u #s(literal -2 binary32))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32) #s(literal 1/6 binary32)))) (fma.f32 n1_i u n0_i))
(+.f32 n0_i (.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 7/360 binary32)) (*.f32 #s(literal 1/6 binary32) u))) u) n1_i))
(.f32 n0_i (fma.f32 (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)) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(.f32 (.f32 n1_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 n1_i u) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) n0_i)
(+.f32 n0_i (.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n1_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 u (fma.f32 u #s(literal -1/2 binary32) #s(literal 1/3 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (+.f32 n1_i (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i)) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/3 binary32) n0_i (*.f32 #s(literal 1/6 binary32) n1_i)) (neg.f32 n0_i)))) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/3 binary32) u) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/2 binary32)) #s(literal 1/3 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))))
(.f32 n0_i (fma.f32 n1_i (/.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32))) n0_i) #s(literal 1 binary32)))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) n0_i)
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (neg.f32 (.f32 normAngle normAngle)) (.f32 u #s(literal 7/360 binary32))) (*.f32 #s(literal 1/6 binary32) u)) u) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i))))))
(fma.f32 (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))))) (.f32 normAngle normAngle) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))
(fma.f32 n0_i #s(literal 1 binary32) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (fma.f32 u n0_i n0_i) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))) (.f32 (.f32 u (.f32 u u)) n1_i)) (fma.f32 u n1_i (fma.f32 u n0_i n0_i)))) (fma.f32 u n1_i (fma.f32 u n0_i n0_i)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32))) (neg.f32 (.f32 normAngle normAngle))) u (.f32 (.f32 n1_i u) #s(literal 7/360 binary32))) (.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 n0_i (.f32 u (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (*.f32 u (fma.f32 u u #s(literal -1 binary32))))))))
(.f32 n0_i (+.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n1_i (fma.f32 u u #s(literal -1 binary32))))) n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (/.f32 (.f32 u n1_i) n0_i))) (-.f32 #s(literal 1 binary32) u)))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) n0_i)
(fma.f32 (*.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) n0_i)
(+.f32 n0_i (.f32 (.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(+.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 u (/.f32 normAngle (sin.f32 normAngle))) n1_i))
(fma.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))))) (.f32 n1_i u)) (-.f32 (.f32 n1_i u) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)))))))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 n1_i u) (.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u #s(literal 1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (.f32 n0_i (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(+.f32 n0_i (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle)))
(+.f32 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 u n1_i))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (.f32 (sin.f32 (.f32 normAngle (+.f32 #s(literal 1 binary32) u))) n0_i)))
(fma.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i)
(fma.f32 u (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) (.f32 u (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)))) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))) n0_i)
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (.f32 n0_i n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) (-.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) n0_i))) (pow.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) n0_i))) (.f32 u n1_i)) #s(literal 3 binary32)))))
(fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i (.f32 (sin.f32 (*.f32 normAngle (+.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 (sin.f32 normAngle) n1_i)) (/.f32 (sin.f32 (.f32 u 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 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 (.f32 normAngle (.f32 u (-.f32 #s(literal 0 binary32) (cos.f32 normAngle)))) (/.f32 n0_i (sin.f32 normAngle)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) u)))) (/.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 u (fma.f32 u (.f32 n0_i (fma.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (cos.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 u normAngle))) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)))) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (-.f32 #s(literal 0 binary32) (sin.f32 normAngle)))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle)))) n1_i))

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

Calls

5 calls:

42.0ms	u
35.0ms	n0_i
28.0ms	(+.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))
20.0ms	n1_i
19.0ms	normAngle

Results

Accuracy	Segments	Branch
99.4%	1	`normAngle`
99.4%	1	`u`
99.4%	1	`n0_i`
99.4%	1	`n1_i`
99.4%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes129.0ms (0.8%)

Memory

-18.4MiB live, 105.4MiB allocated

Counts

55 → 1

Calls

Call 1

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

Outputs

(fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 (fma.f32 n1_i #s(literal -7/2160 binary32) (*.f32 n1_i #s(literal 1/840 binary32))) (neg.f32 (*.f32 normAngle normAngle))) u (*.f32 (*.f32 n1_i u) #s(literal 7/360 binary32))) (*.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))

Calls

5 calls:

45.0ms	n1_i
15.0ms	u
15.0ms	(+.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))
14.0ms	n0_i
14.0ms	normAngle

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes87.0ms (0.5%)

Memory

-26.0MiB live, 97.2MiB allocated

Counts

48 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

24.0ms	(+.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))
21.0ms	u
13.0ms	n0_i
12.0ms	n1_i
12.0ms	normAngle

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes58.0ms (0.4%)

Memory

38.5MiB live, 76.9MiB allocated

Counts

41 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.6%	1	`normAngle`
98.6%	1	`u`
98.6%	1	`n0_i`
98.6%	1	`n1_i`
98.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes80.0ms (0.5%)

Memory

-9.4MiB live, 72.0MiB allocated

Counts

36 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

30.0ms	n0_i
20.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
10.0ms	n1_i
10.0ms	u
9.0ms	normAngle

Results

Accuracy	Segments	Branch
98.6%	1	`normAngle`
98.6%	1	`u`
98.6%	1	`n0_i`
98.6%	1	`n1_i`
98.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes96.0ms (0.6%)

Memory

-11.8MiB live, 65.0MiB allocated

Counts

33 → 1

Calls

Call 1

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

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

Calls

5 calls:

43.0ms	n0_i
24.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
9.0ms	u
9.0ms	n1_i
9.0ms	normAngle

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes43.0ms (0.3%)

Memory

24.7MiB live, 64.3MiB allocated

Counts

25 → 1

Calls

Call 1

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

Outputs
(fma.f32 u (fma.f32 (.f32 normAngle 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)

Calls

5 calls:

13.0ms	n0_i
7.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
7.0ms	n1_i
7.0ms	u
7.0ms	normAngle

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes48.0ms (0.3%)

Memory

-6.5MiB live, 39.4MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
6.0ms	n0_i
6.0ms	n1_i
5.0ms	u
5.0ms	normAngle

Results

Accuracy	Segments	Branch
97.6%	1	`u`
97.6%	1	`normAngle`
97.6%	1	`n0_i`
97.6%	1	`n1_i`
97.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes48.0ms (0.3%)

Memory

-1.3MiB live, 37.3MiB allocated

Counts

17 → 1

Calls

Call 1

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

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

Calls

5 calls:

27.0ms	(+.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	n0_i
5.0ms	n1_i
5.0ms	u
5.0ms	normAngle

Results

Accuracy	Segments	Branch
97.6%	1	`u`
97.6%	1	`n1_i`
97.6%	1	`normAngle`
97.6%	1	`n0_i`
97.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes51.0ms (0.3%)

Memory

-4.6MiB live, 33.7MiB allocated

Counts

15 → 1

Calls

Call 1

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

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

Calls

5 calls:

32.0ms	(+.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	n0_i
5.0ms	n1_i
5.0ms	u
5.0ms	normAngle

Results

Accuracy	Segments	Branch
97.4%	1	`u`
97.4%	1	`n1_i`
97.4%	1	`normAngle`
97.4%	1	`n0_i`
97.4%	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)

regimes16.0ms (0.1%)

Memory

-4.9MiB live, 33.3MiB allocated

Counts

6 → 1

Calls

Call 1

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

Outputs
(fma.f32 u n1_i n0_i)

Calls

5 calls:

5.0ms	n1_i
3.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
3.0ms	u
3.0ms	n0_i
2.0ms	normAngle

Results

Accuracy	Segments	Branch
82.0%	1	`u`
82.0%	1	`normAngle`
82.0%	1	`n0_i`
82.0%	1	`n1_i`
82.0%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes29.0ms (0.2%)

Memory

-21.9MiB live, 20.6MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)

Outputs
n0_i
(*.f32 n1_i u)
n0_i

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
53.6%	2	`u`
61.8%	3	`n0_i`
50.9%	3	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
43.8%	1	`normAngle`
60.8%	3	`n1_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes6.0ms (0%)

Memory

9.8MiB live, 9.8MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
n0_i

Outputs
n0_i

Calls

4 calls:

1.0ms	(+.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	u
1.0ms	n0_i
1.0ms	n1_i

Results

Accuracy	Segments	Branch
43.8%	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))`
43.8%	1	`u`
43.8%	1	`n1_i`
43.8%	1	`n0_i`

Compiler

Compiled 44 to 29 computations (34.1% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	3.104657323967524e-17	4.594600851333149e-17
0.0ms	-4.720440905500819e-20	-2.945733625438821e-20

Compiler

Compiled 32 to 24 computations (25% saved)

simplify12.0ms (0.1%)

Memory

21.5MiB live, 21.5MiB allocated

Algorithm

1×	egg-herbie

Rules

40×	`*-commutative_binary32`
12×	`sub-neg_binary32`
12×	`+-commutative_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	219
1	95	219
2	108	219
3	118	219
4	123	219
5	124	219

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32))) (neg.f32 (.f32 normAngle normAngle))) u (.f32 (.f32 n1_i u) #s(literal 7/360 binary32))) (.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 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal 1/3 binary32) n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle 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 normAngle normAngle) (.f32 u (*.f32 #s(literal 1/3 binary32) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u n1_i n0_i)
(if (<=.f32 n0_i #s(literal -1547425/38685626227668133590597632 binary32)) n0_i (if (<=.f32 n0_i #s(literal 6044629/151115727451828646838272 binary32)) (*.f32 n1_i u) n0_i))
n0_i

Outputs
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32))) (neg.f32 (.f32 normAngle normAngle))) u (.f32 (.f32 n1_i u) #s(literal 7/360 binary32))) (.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) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 (.f32 normAngle normAngle) (-.f32 #s(literal 0 binary32) (fma.f32 n1_i #s(literal -7/2160 binary32) (.f32 n1_i #s(literal 1/840 binary32))))) u (.f32 (.f32 u n1_i) #s(literal 7/360 binary32))) (.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 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle) #s(literal -1 binary32)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 31/15120 binary32) (*.f32 normAngle normAngle) #s(literal 7/360 binary32)) #s(literal 1/6 binary32)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 #s(literal 1/3 binary32) n0_i))) (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 u (fma.f32 (.f32 normAngle 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 normAngle normAngle) (.f32 u (*.f32 #s(literal 1/3 binary32) n0_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 u (*.f32 n0_i #s(literal 1/3 binary32))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 n0_i (fma.f32 #s(literal 1/3 binary32) (*.f32 normAngle normAngle) #s(literal -1 binary32)) n1_i) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(fma.f32 u n1_i n0_i)
(if (<=.f32 n0_i #s(literal -1547425/38685626227668133590597632 binary32)) n0_i (if (<=.f32 n0_i #s(literal 6044629/151115727451828646838272 binary32)) (*.f32 n1_i u) n0_i))
(if (<=.f32 n0_i #s(literal -1547425/38685626227668133590597632 binary32)) n0_i (if (<=.f32 n0_i #s(literal 6044629/151115727451828646838272 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness1.2s (7.3%)

Memory

-41.5MiB live, 1 014.4MiB allocated

Rules

15 678×	`accelerator-lowering-fma.f32`
15 678×	`accelerator-lowering-fma.f64`
15 088×	`accelerator-lowering-fma.f32`
15 088×	`accelerator-lowering-fma.f64`
13 832×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	728	9311
1	2371	8912
0	8469	8272
0	359	3068
1	1113	2964
2	3863	2904
0	8930	2781
0	605	8235
1	2079	7958
2	7514	7958
0	8610	7387
0	428	6959
1	1477	6440
2	5714	6217
0	8417	5688

Stop Event

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

Compiler

Compiled 665 to 356 computations (46.5% saved)

preprocess193.0ms (1.2%)

Memory: 4.8MiB live, 245.8MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 674 to 266 computations (60.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze385.0ms (2.4%)

sample3.4s (20.9%)

preprocess162.0ms (1%)

explain220.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify80.0ms (0.5%)

localize83.0ms (0.5%)

series40.0ms (0.2%)

rewrite712.0ms (4.4%)

simplify668.0ms (4.1%)

eval72.0ms (0.4%)

prune114.0ms (0.7%)

simplify801.0ms (4.9%)

localize187.0ms (1.1%)

series55.0ms (0.3%)

rewrite574.0ms (3.5%)

simplify639.0ms (3.9%)

eval263.0ms (1.6%)

prune446.0ms (2.7%)

simplify876.0ms (5.4%)

localize222.0ms (1.4%)

series89.0ms (0.5%)

rewrite574.0ms (3.5%)

simplify587.0ms (3.6%)

eval253.0ms (1.6%)

prune183.0ms (1.1%)

simplify585.0ms (3.6%)

localize197.0ms (1.2%)

series51.0ms (0.3%)

rewrite435.0ms (2.7%)

simplify535.0ms (3.3%)

eval295.0ms (1.8%)

prune296.0ms (1.8%)

regimes146.0ms (0.9%)

regimes129.0ms (0.8%)

regimes87.0ms (0.5%)

regimes58.0ms (0.4%)

regimes80.0ms (0.5%)

regimes96.0ms (0.6%)

regimes43.0ms (0.3%)

regimes48.0ms (0.3%)

regimes48.0ms (0.3%)

regimes51.0ms (0.3%)

regimes16.0ms (0.1%)

regimes29.0ms (0.2%)

regimes6.0ms (0%)

bsearch0.0ms (0%)

simplify12.0ms (0.1%)

soundness1.2s (7.3%)

preprocess193.0ms (1.2%)

end0.0ms (0%)

Profiling