Metrics for Curve intersection, scale width based on ribbon orientation

analyze315.0ms (2.2%)

Memory

25.3MiB live, 622.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 59 to 39 computations (33.9% saved)

sample3.2s (22.2%)

Memory

51.4MiB live, 5 017.4MiB allocated

Samples

1.6s	8 256×	0	valid
722.0ms	2 065×	0	invalid

Precisions

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

ival-mult: 501.0ms (25.6% of total)

ival-sin: 398.0ms (20.3% of total)

ival-<=: 383.0ms (19.6% of total)

const: 215.0ms (11% of total)

ival-div: 199.0ms (10.2% of total)

ival-sub: 87.0ms (4.4% of total)

ival-add: 53.0ms (2.7% of total)

ival-and: 52.0ms (2.7% of total)

ival-pi: 42.0ms (2.1% of total)

exact: 22.0ms (1.1% of total)

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

Bogosity

preprocess131.0ms (0.9%)

Memory

10.4MiB live, 122.7MiB 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 (*.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i)) (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)

explain201.0ms (1.4%)

Memory

4.3MiB live, 442.2MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
28	-	22	(1.1408781084892347e-35 2.6850559553537323e-9 -1.629436038714359e-28 1.7715564053260016e-36)	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
2	-	0	-	`(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) 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 #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**	4
`*.f32`	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`	*no**	2
`*.f32`	`(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`	*no**	2

Confusion

	Predicted +	Predicted -
+	5	9
-	1	241

Precision

0.8333333333333334

Recall

0.35714285714285715

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	5	0	9
-	1	0	241

Precision?

0.8333333333333334

Recall?

0.35714285714285715

Freqs

test

number	freq
0	250
1	4
2	2

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

58.0ms	500×	0	valid
6.0ms	12×	5	exit

Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

ival-mult: 17.0ms (38.7% of total)

ival-sin: 14.0ms (31.9% of total)

ival-div: 4.0ms (9.1% of total)

ival-add: 4.0ms (9.1% of total)

ival-sub: 3.0ms (6.8% of total)

adjust: 1.0ms (2.3% of total)

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

exact: 0.0ms (0% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	95.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Status

Accuracy

Program

▶

95.6%

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

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify75.0ms (0.5%)

Memory

2.3MiB live, 82.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	3616	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Rules

832×	`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 (.f32 u normAngle)) n1_i (.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i)) (sin.f32 normAngle))
(* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i)
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(sin (* (- 1 u) normAngle))
(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
(* (- 1 u) normAngle)
(fma.f32 u (neg.f32 normAngle) normAngle)
(- 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)
(.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)
n1_i

localize51.0ms (0.4%)

Memory

15.5MiB live, 132.1MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	97.9%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	93.8%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

29.0ms	250×	0	valid
4.0ms	6×	5	exit

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-mult: 10.0ms (44.6% of total)

ival-sin: 7.0ms (31.3% of total)

ival-div: 2.0ms (8.9% of total)

ival-sub: 1.0ms (4.5% of total)

ival-add: 1.0ms (4.5% of total)

adjust: 0.0ms (0% of total)

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

exact: 0.0ms (0% of total)

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

series35.0ms (0.2%)

Memory

-13.4MiB live, 65.3MiB allocated

Counts

5 → 156

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

Calls

39 calls:

Time	Variable		Point	Expression
6.0ms	u	@	-inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
5.0ms	u	@	inf	(* (sin (* u normAngle)) (/ 1 (sin normAngle)))
3.0ms	normAngle	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	normAngle	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	u	@	inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite772.0ms (5.4%)

Memory

-178.0MiB live, 769.6MiB 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	53
1	71	53
2	457	52
3	4831	52
0	8474	51

Stop Event

1×	iter limit
1×	node limit

Counts

5 → 240

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

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

simplify490.0ms (3.4%)

Memory

10.8MiB live, 685.9MiB allocated

Algorithm

1×	egg-herbie

Rules

12 022×	`accelerator-lowering-fma.f32`
12 022×	`accelerator-lowering-fma.f64`
6 426×	`+-lowering-+.f64`
6 426×	`+-lowering-+.f32`
5 452×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval37.0ms (0.3%)

Memory: 10.4MiB live, 86.1MiB allocated
Compiler: Compiled 15 019 to 1 047 computations (93% saved)

prune62.0ms (0.4%)

Memory

-28.4MiB live, 126.0MiB allocated

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	380	16	396
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	381	16	397

Accuracy

100.0%

Counts

397 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	96.5%	(fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
	98.7%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
▶	99.4%	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
	99.3%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (.f32 #s(literal -1/36 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))))))))
	97.3%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	95.8%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	95.9%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶	97.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (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))
▶	95.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	96.2%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	78.8%	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	73.7%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
	73.7%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
	41.8%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
▶	51.9%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
▶	40.4%	n0_i

Compiler

Compiled 1 072 to 530 computations (50.6% saved)

simplify290.0ms (2%)

Memory

38.5MiB live, 558.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓	cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	3616	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
✓	cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓	cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	cost-diff	64	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	0	(fma.f32 u (neg.f32 normAngle) normAngle)
✓	cost-diff	0	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	cost-diff	0	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	cost-diff	0	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	cost-diff	0	(*.f32 normAngle (cos.f32 normAngle))
✓	cost-diff	0	(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
✓	cost-diff	0	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	cost-diff	3712	(fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle))))

Rules

11 084×	`accelerator-lowering-fma.f32`
11 084×	`accelerator-lowering-fma.f64`
4 728×	`-lowering-.f32`
4 728×	`-lowering-.f64`
1 686×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	338
1	111	322
2	301	318
3	875	310
4	2498	310
5	3944	309
6	4971	307
7	6281	307
0	8227	296

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize194.0ms (1.4%)

Memory

-19.8MiB live, 244.6MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	97.9%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	94.4%	(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
✓	accuracy	99.5%	(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.1%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	97.9%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(neg.f32 normAngle)
✓	accuracy	100.0%	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	accuracy	99.6%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	accuracy	99.0%	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	accuracy	99.9%	(*.f32 normAngle (cos.f32 normAngle))
✓	accuracy	99.9%	(/.f32 (*.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle)))
✓	accuracy	99.8%	(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
✓	accuracy	99.6%	(*.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))

Samples

102.0ms	248×	0	valid
8.0ms	6×	5	exit
1.0ms	2×	1	valid

Compiler

Compiled 325 to 45 computations (86.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-neg: 26.0ms (28.7% of total)

ival-mult: 25.0ms (27.6% of total)

ival-div: 9.0ms (9.9% of total)

ival-sin: 8.0ms (8.8% of total)

ival-add: 8.0ms (8.8% of total)

ival-cos: 6.0ms (6.6% of total)

const: 6.0ms (6.6% of total)

adjust: 1.0ms (1.1% of total)

ival-sub: 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)

series63.0ms (0.4%)

Memory

-2.8MiB live, 117.2MiB allocated

Counts

19 → 504

Calls

Call 1

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

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

Calls

126 calls:

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

rewrite367.0ms (2.6%)

Memory

30.0MiB live, 637.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 840×	`accelerator-lowering-fma.f32`
5 840×	`accelerator-lowering-fma.f64`
4 756×	`-lowering-.f32`
4 756×	`-lowering-.f64`
4 002×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	43	195
1	241	191
2	1952	187
0	8369	178

Stop Event

1×	iter limit
1×	node limit

Counts

19 → 757

Calls

Call 1

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

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

simplify504.0ms (3.5%)

Memory

7.5MiB live, 715.1MiB allocated

Algorithm

1×	egg-herbie

Rules

13 436×	`accelerator-lowering-fma.f32`
13 436×	`accelerator-lowering-fma.f64`
6 728×	`-lowering-.f32`
6 728×	`-lowering-.f64`
4 372×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	708	8267
1	2476	7739
0	8013	7360

Stop Event

1×	iter limit
1×	node limit

Counts

504 → 504

Calls

Call 1

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

Outputs
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(.f32 n0_i (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (*.f32 (sin.f32 normAngle) n0_i))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (neg.f32 normAngle) n1_i) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (neg.f32 normAngle) n1_i) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(.f32 (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 (.f32 (neg.f32 normAngle) n1_i) (*.f32 (sin.f32 normAngle) n0_i))) (neg.f32 n0_i))
(+ n1_i (* -1 n0_i))
(-.f32 n1_i n0_i)
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 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 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* (pow normAngle 2) (- (+ (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (* (pow normAngle 2) (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))
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(/ (* n1_i normAngle) (sin normAngle))
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(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
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n0_i
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(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 normAngle u))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
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(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
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(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
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(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 normAngle u))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
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(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
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(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (*.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i))
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(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (*.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i))
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(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i)
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
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(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
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(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
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(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))))))
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(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
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(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (* -1 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (* -1 (- (* -1/720 n0_i) (+ (* -1/6 (- (* 1/24 n0_i) (+ (* -1/6 (- (* -1/2 n0_i) (* -1/6 n0_i))) (* 1/120 n0_i)))) (+ (* -1/5040 n0_i) (* 1/120 (- (* -1/2 n0_i) (* -1/6 n0_i))))))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
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(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (*.f32 normAngle u))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
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(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(.f32 normAngle (fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) u (/.f32 n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
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(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
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(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
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(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i)
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
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(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (*.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (*.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) u) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) u) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(.f32 n1_i (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) u) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (*.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (*.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (*.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i) n1_i))) (neg.f32 n1_i))
-1
#s(literal -1 binary32)
(- (* 1/3 (pow normAngle 2)) 1)
(fma.f32 normAngle (*.f32 normAngle #s(literal 1/3 binary32)) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal 1/45 binary32) #s(literal 1/3 binary32)) #s(literal -1 binary32))
(- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) #s(literal 2/945 binary32) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
(* -1 (/ (* normAngle (cos normAngle)) (sin normAngle)))
(/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))
normAngle
(* normAngle (+ 1 (* -1/2 (pow normAngle 2))))
(fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/24 (pow normAngle 2)) 1/2))))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/24 binary32) #s(literal -1/2 binary32)) (.f32 normAngle (*.f32 normAngle normAngle)) normAngle)
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/24 (* -1/720 (pow normAngle 2)))) 1/2))))
(fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal -1/720 binary32)) #s(literal 1/24 binary32))) #s(literal -1/2 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(* normAngle (cos normAngle))
(*.f32 normAngle (cos.f32 normAngle))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle (*.f32 normAngle u))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (sin.f32 normAngle)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* n0_i (+ 1 (* -1 u)))
(fma.f32 n0_i (neg.f32 u) n0_i)
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 u) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (sin.f32 normAngle))) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (+ 1 (* -1 u)) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (+ 1 (* -1 u)) 7)) (+ (* -1/6 (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u)))))) (+ (* -1/5040 (+ 1 (* -1 u))) (* 1/120 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32)))))) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 normAngle (neg.f32 (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32)))) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 3))))))
(fma.f32 normAngle (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* 1/120 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 5))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (+ 1 (+ (* -1 u) (* (pow normAngle 2) (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (+ 1 (* -1 u)) 7))) (* 1/120 (pow (+ 1 (* -1 u)) 5)))))))))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.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 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (+ normAngle (* -1 (* normAngle u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (- (* -1 (* normAngle u)) (* -1 normAngle)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle u))
(neg.f32 (*.f32 normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(neg.f32 (*.f32 normAngle u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (+ 1 (* -1 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle (- u 1)))
(fma.f32 normAngle (neg.f32 u) normAngle)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 u) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal -1/2 binary32)) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (sin.f32 normAngle))) (/.f32 (neg.f32 (*.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle))) #s(literal 1 binary32))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32)))))) (-.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))
(fma.f32 u (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(fma.f32 u (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (fma.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle (.f32 normAngle u)))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (* n1_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle)))))))))))
(fma.f32 u (fma.f32 u (fma.f32 u (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle (.f32 normAngle normAngle))) (/.f32 n0_i (sin.f32 normAngle))) (.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)))) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (fma.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)))) n0_i)
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle (.f32 u (.f32 u u)))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i) (.f32 u u))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))) (.f32 n1_i (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow u 3) (sin normAngle))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) (.f32 u u)) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))) (.f32 n1_i (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle (.f32 u (.f32 u u)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (.f32 u u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (.f32 u u)) (/.f32 (.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))))) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* (pow u 3) (sin normAngle)))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (.f32 u u)) (/.f32 (.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (.f32 (sin.f32 normAngle) (.f32 u (.f32 u u)))))) (neg.f32 (.f32 u (*.f32 u u))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2)))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))))) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* (pow normAngle 2) (sin normAngle))) (/ (* n1_i u) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle)))) (fma.f32 n1_i (/.f32 u (.f32 normAngle normAngle)) (.f32 (.f32 n1_i u) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))
(.f32 n0_i (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i)))))
(neg.f32 (.f32 (neg.f32 n0_i) (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) n0_i) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u)))
(* n1_i (+ u (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))))))
(.f32 n1_i (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u)))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 (fma.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (.f32 n1_i (sin.f32 normAngle))) (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u))) (neg.f32 n1_i))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (neg.f32 n0_i) (/.f32 (.f32 (.f32 normAngle (cos.f32 normAngle)) u) (sin.f32 normAngle)) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle (*.f32 normAngle u))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (sin.f32 normAngle)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* n0_i (- 1 u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32))))))) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))) (fma.f32 n0_i (neg.f32 u) n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(fma.f32 normAngle (neg.f32 (*.f32 (cos.f32 normAngle) u)) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(fma.f32 u (fma.f32 (cos.f32 normAngle) (neg.f32 normAngle) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) (.f32 (sin.f32 normAngle) u)))) (sin.f32 normAngle))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* u (+ (* -1/2 (* (pow normAngle 2) (sin normAngle))) (* 1/6 (* (pow normAngle 3) (* u (cos normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 (sin.f32 normAngle) (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32)))) (neg.f32 (.f32 normAngle (cos.f32 normAngle)))) (sin.f32 normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (+ 1 (* -1 u))))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(fma.f32 normAngle (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 (fma.f32 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(fma.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.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 #s(literal 1/6 binary32) u #s(literal -1/6 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (neg.f32 u)) normAngle)
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
(sin (* normAngle (- 1 u)))
(sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (.f32 normAngle u) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle (*.f32 normAngle u))))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (/.f32 (.f32 (.f32 (cos.f32 normAngle) u) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1/6 binary32))) (sin.f32 normAngle)) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 n0_i (cos.f32 normAngle)) (sin.f32 normAngle))))) n0_i)
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) u)))))
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) u)))))
(* u (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(neg.f32 (.f32 u (neg.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) u)))))))
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(neg.f32 (.f32 u (neg.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) u)))))))
(* -1 (* u (+ (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(neg.f32 (.f32 u (neg.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 (sin.f32 normAngle) u)))))))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (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))))) (+ (* -1/36 (* 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 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i (.f32 u #s(literal -7/360 binary32)) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (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))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/36 (* 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 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (.f32 #s(literal 1/6 binary32) (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)))) (fma.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))))))))) (fma.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32)) (fma.f32 u (.f32 n1_i #s(literal 1/840 binary32)) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (.f32 (.f32 n1_i u) #s(literal -7/2160 binary32)))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i (.f32 u #s(literal -7/360 binary32)) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)))))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))
(.f32 normAngle (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) u (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 normAngle (sin.f32 normAngle))))))
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))
(.f32 normAngle (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) u (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 normAngle (sin.f32 normAngle))))))
(* normAngle (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle))) (/ (* n1_i u) (sin normAngle))))
(.f32 normAngle (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) u (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 normAngle (sin.f32 normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))
(.f32 normAngle (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) u (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 normAngle (sin.f32 normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))
(.f32 normAngle (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) u (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 normAngle (sin.f32 normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* normAngle (sin normAngle)))) (* -1 (/ (* n1_i u) (sin normAngle))))))
(.f32 normAngle (fma.f32 (/.f32 n1_i (sin.f32 normAngle)) u (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (*.f32 normAngle (sin.f32 normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* 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)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* 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)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* 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)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 (.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 (.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))))
(neg.f32 (.f32 n0_i (neg.f32 (fma.f32 n1_i (/.f32 (.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))
(.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))))))
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))
(.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))))))
(* n1_i (+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle))) (/ (* normAngle u) (sin normAngle))))
(.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle)))))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle)))))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))) (* -1 (/ (* normAngle u) (sin normAngle))))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (*.f32 n1_i (sin.f32 normAngle)))))) (neg.f32 n1_i))
n1_i
(+ n1_i (* 1/6 (* n1_i (pow normAngle 2))))
(fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 1/6 binary32)) n1_i)
(+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32)) (.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))) (.f32 (neg.f32 normAngle) normAngle) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i)
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(/ (* n1_i normAngle) (sin normAngle))
(/.f32 (*.f32 n1_i normAngle) (sin.f32 normAngle))
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* -1 normAngle)
(neg.f32 normAngle)
(* 1/6 u)
(*.f32 #s(literal 1/6 binary32) u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* -1/6 (pow u 3))
(.f32 #s(literal -1/6 binary32) (.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
normAngle
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ normAngle (* -1 (* normAngle u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* -1 (* normAngle u))
(neg.f32 (*.f32 normAngle u))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* u (+ (* -1 normAngle) (/ normAngle u)))
(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
(* -1 (* normAngle u))
(neg.f32 (*.f32 normAngle u))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
(neg.f32 (*.f32 u (-.f32 normAngle (/.f32 normAngle u))))
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(* -1/6 (pow u 2))
(.f32 #s(literal -1/6 binary32) (.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* -1/6 (pow u 2))
(.f32 #s(literal -1/6 binary32) (.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 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))
(/ (* 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)))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)
(+ 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))) (.f32 (neg.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))

eval260.0ms (1.8%)

Memory: -14.1MiB live, 187.3MiB allocated
Compiler: Compiled 41 494 to 3 286 computations (92.1% saved)

prune225.0ms (1.6%)

Memory

5.7MiB live, 279.8MiB allocated

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	1 409	18	1 427
Fresh	6	5	11
Picked	4	1	5
Done	0	0	0
Total	1 419	24	1 443

Accuracy

100.0%

Counts

1 443 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.8%	(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	97.4%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	99.1%	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i (.f32 u #s(literal -7/360 binary32)) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	99.0%	(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) u)) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
▶	98.9%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	98.8%	(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)
▶	99.2%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	99.0%	(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
	98.5%	(fma.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
	97.3%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	52.0%	(fma.f32 n0_i (neg.f32 u) n0_i)
	33.8%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
	98.5%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	95.8%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	95.9%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶	99.3%	(+.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) n0_i)
	98.6%	(+.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	81.5%	(+.f32 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))
	73.7%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
	41.8%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
▶	43.3%	(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
	52.1%	(.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
▶	52.0%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	40.4%	n0_i

Compiler

Compiled 1 305 to 738 computations (43.4% saved)

simplify640.0ms (4.5%)

Memory

-13.9MiB live, 502.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	192	(fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))
✓	cost-diff	256	(-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))
✓	cost-diff	256	(-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32)))))
✓	cost-diff	352	(fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))
✓	cost-diff	0	(.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
✓	cost-diff	0	(*.f32 normAngle normAngle)
✓	cost-diff	0	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
✓	cost-diff	64	(-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
✓	cost-diff	0	(*.f32 normAngle u)
✓	cost-diff	0	(.f32 normAngle (.f32 normAngle u))
✓	cost-diff	0	(fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u)
✓	cost-diff	0	(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	0	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	cost-diff	64	(+.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) n0_i)
✓	cost-diff	96	(*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))
✓	cost-diff	160	(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
✓	cost-diff	192	(/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))

Rules

14 698×	`accelerator-lowering-fma.f32`
14 698×	`accelerator-lowering-fma.f64`
4 058×	`+-lowering-+.f64`
4 058×	`+-lowering-+.f32`
3 746×	`-lowering-.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	82	681
1	236	598
2	851	541
3	4404	478
0	8452	444

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i)
(* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u)
(+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle))))
normAngle
(/ n1_i (sin normAngle))
n1_i
(sin normAngle)
(/ n0_i (* (/ -1 normAngle) (tan normAngle)))
n0_i
(* (/ -1 normAngle) (tan normAngle))
(/ -1 normAngle)
-1
(tan normAngle)
u
(* n0_i (- 1 u))
n0_i
(- 1 u)
1
u
(* n1_i (+ (* (* normAngle (* normAngle u)) (+ (* -1/6 (* u u)) 1/6)) u))
n1_i
(+ (* (* normAngle (* normAngle u)) (+ (* -1/6 (* u u)) 1/6)) u)
(* normAngle (* normAngle u))
normAngle
(* normAngle u)
u
(+ (* -1/6 (* u u)) 1/6)
-1/6
(* u u)
1/6
(+ (* (* normAngle normAngle) (* -1/6 (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i))
(* normAngle normAngle)
normAngle
(* -1/6 (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i)))
-1/6
(- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i))
(* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u)))
(+ (* n0_i (neg u)) n0_i)
n0_i
(neg u)
u
(* (- 1 u) (- 1 u))
(- 1 u)
1
(+ (* (- n1_i n0_i) u) n0_i)
(- n1_i n0_i)
n1_i
(+ (* u (+ (* (* normAngle normAngle) (+ (* n0_i 1/3) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))) (* n1_i 1/6)))) (- n1_i n0_i))) n0_i)
u
(+ (* (* normAngle normAngle) (+ (* n0_i 1/3) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))) (* n1_i 1/6)))) (- n1_i n0_i))
(* normAngle normAngle)
normAngle
(+ (* n0_i 1/3) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))) (* n1_i 1/6)))
n0_i
1/3
(+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))) (* n1_i 1/6))
(+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))
(neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))
(+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160)))
(- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360))))
(* n0_i -1/720)
-1/720
(+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))
-1/6
(- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))
(* n0_i 1/24)
1/24
(+ (* n0_i 1/18) (* n0_i 1/120))
1/18
(* n0_i 1/120)
1/120
(+ (* n0_i -1/5040) (* n0_i -1/360))
-1/5040
(* n0_i -1/360)
-1/360
(+ (* n1_i 1/840) (* n1_i -7/2160))
n1_i
1/840
(* n1_i -7/2160)
-7/2160
(+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))))
7/360
(neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))
(* n1_i 1/6)
1/6
(- n1_i n0_i)

Outputs
(+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i)
(fma.f32 (*.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))) n0_i)
(* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u)
(.f32 (.f32 normAngle u) (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
(+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle))))
(*.f32 normAngle (-.f32 (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle))))
normAngle
(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin normAngle)
(sin.f32 normAngle)
(/ n0_i (* (/ -1 normAngle) (tan normAngle)))
(neg.f32 (*.f32 (/.f32 n0_i (tan.f32 normAngle)) normAngle))
n0_i
(* (/ -1 normAngle) (tan normAngle))
(neg.f32 (/.f32 (tan.f32 normAngle) normAngle))
(/ -1 normAngle)
(/.f32 #s(literal -1 binary32) normAngle)
-1
#s(literal -1 binary32)
(tan normAngle)
(tan.f32 normAngle)
u
(* n0_i (- 1 u))
(fma.f32 u (neg.f32 n0_i) n0_i)
n0_i
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
u
(* n1_i (+ (* (* normAngle (* normAngle u)) (+ (* -1/6 (* u u)) 1/6)) u))
(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) u))
n1_i
(+ (* (* normAngle (* normAngle u)) (+ (* -1/6 (* u u)) 1/6)) u)
(fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) u)
(* normAngle (* normAngle u))
(.f32 normAngle (.f32 normAngle u))
normAngle
(* normAngle u)
(*.f32 normAngle u)
u
(+ (* -1/6 (* u u)) 1/6)
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* u u)
(*.f32 u u)
1/6
#s(literal 1/6 binary32)
(+ (* (* normAngle normAngle) (* -1/6 (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i))
(fma.f32 normAngle (.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (.f32 u (-.f32 n0_i n1_i))) (.f32 normAngle #s(literal -1/6 binary32))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(* -1/6 (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i)))
(.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (*.f32 u (-.f32 n0_i n1_i))))
-1/6
#s(literal -1/6 binary32)
(- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) (.f32 u (-.f32 n0_i n1_i)))
(* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u)))
(.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (neg u)) n0_i)
(fma.f32 u (neg.f32 n0_i) n0_i)
n0_i
(neg u)
(neg.f32 u)
u
(* (- 1 u) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 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 (+ (* (* normAngle normAngle) (+ (* n0_i 1/3) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))) (* n1_i 1/6)))) (- n1_i n0_i))) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 n0_i #s(literal -2/945 binary32) (.f32 n1_i #s(literal -31/15120 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
u
(+ (* (* normAngle normAngle) (+ (* n0_i 1/3) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))) (* n1_i 1/6)))) (- n1_i n0_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 n0_i #s(literal -2/945 binary32) (.f32 n1_i #s(literal -31/15120 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(+ (* n0_i 1/3) (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))) (* n1_i 1/6)))
(fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 n0_i #s(literal -2/945 binary32) (.f32 n1_i #s(literal -31/15120 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
n0_i
1/3
#s(literal 1/3 binary32)
(+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))) (* n1_i 1/6))
(fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 n0_i #s(literal -2/945 binary32) (.f32 n1_i #s(literal -31/15120 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32))))) (*.f32 n1_i #s(literal 1/6 binary32)))
(+ (* (* normAngle normAngle) (neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))) (+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))))
(fma.f32 normAngle (neg.f32 (.f32 normAngle (fma.f32 n0_i #s(literal -2/945 binary32) (.f32 n1_i #s(literal -31/15120 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32))))
(neg (+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160))))
(neg.f32 (fma.f32 n0_i #s(literal -2/945 binary32) (*.f32 n1_i #s(literal -31/15120 binary32))))
(+ (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))) (+ (* n1_i 1/840) (* n1_i -7/2160)))
(fma.f32 n0_i #s(literal -2/945 binary32) (*.f32 n1_i #s(literal -31/15120 binary32)))
(- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360))))
(*.f32 n0_i #s(literal -2/945 binary32))
(* n0_i -1/720)
(*.f32 n0_i #s(literal -1/720 binary32))
-1/720
#s(literal -1/720 binary32)
(+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))
(*.f32 n0_i #s(literal 11/15120 binary32))
-1/6
#s(literal -1/6 binary32)
(- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))
(*.f32 n0_i #s(literal -1/45 binary32))
(* n0_i 1/24)
(*.f32 n0_i #s(literal 1/24 binary32))
1/24
#s(literal 1/24 binary32)
(+ (* n0_i 1/18) (* n0_i 1/120))
(*.f32 n0_i #s(literal 23/360 binary32))
1/18
#s(literal 1/18 binary32)
(* n0_i 1/120)
(*.f32 n0_i #s(literal 1/120 binary32))
1/120
#s(literal 1/120 binary32)
(+ (* n0_i -1/5040) (* n0_i -1/360))
(*.f32 n0_i #s(literal -1/336 binary32))
-1/5040
#s(literal -1/5040 binary32)
(* n0_i -1/360)
(*.f32 n0_i #s(literal -1/360 binary32))
-1/360
#s(literal -1/360 binary32)
(+ (* n1_i 1/840) (* n1_i -7/2160))
(*.f32 n1_i #s(literal -31/15120 binary32))
n1_i
1/840
#s(literal 1/840 binary32)
(* n1_i -7/2160)
(*.f32 n1_i #s(literal -7/2160 binary32))
-7/2160
#s(literal -7/2160 binary32)
(+ (* n1_i 7/360) (neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))))
(fma.f32 n1_i #s(literal 7/360 binary32) (*.f32 n0_i #s(literal 1/45 binary32)))
7/360
#s(literal 7/360 binary32)
(neg (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120))))
(*.f32 n0_i #s(literal 1/45 binary32))
(* n1_i 1/6)
(*.f32 n1_i #s(literal 1/6 binary32))
1/6
#s(literal 1/6 binary32)
(- n1_i n0_i)
(-.f32 n1_i n0_i)

localize346.0ms (2.4%)

Memory

-20.9MiB live, 442.0MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	98.6%	(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
✓	accuracy	98.1%	(*.f32 n0_i #s(literal 1/120 binary32))
✓	accuracy	97.6%	(-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))
✓	accuracy	95.7%	(fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (*.f32 n0_i #s(literal -1/360 binary32))))
✓	accuracy	99.3%	(.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
✓	accuracy	98.9%	(.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))
✓	accuracy	98.7%	(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
✓	accuracy	82.3%	(-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
✓	accuracy	100.0%	(fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32)) u)
✓	accuracy	99.9%	(.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
✓	accuracy	99.7%	(.f32 normAngle (.f32 normAngle u))
✓	accuracy	99.5%	(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	99.6%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	accuracy	99.8%	(+.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) n0_i)
✓	accuracy	99.6%	(.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u)
✓	accuracy	99.5%	(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))
✓	accuracy	98.6%	(*.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))

Samples

220.0ms	254×	0	valid
2.0ms	1×	5	exit
1.0ms	1×	2	valid

Compiler

Compiled 749 to 84 computations (88.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 186.0ms

ival-mult: 82.0ms (44.1% of total)

const: 36.0ms (19.4% of total)

ival-add: 35.0ms (18.8% of total)

ival-tan: 14.0ms (7.5% of total)

ival-div: 6.0ms (3.2% of total)

ival-sub: 5.0ms (2.7% of total)

ival-sin: 3.0ms (1.6% of total)

ival-neg: 3.0ms (1.6% of total)

adjust: 1.0ms (0.5% of total)

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

exact: 0.0ms (0% of total)

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

series73.0ms (0.5%)

Memory

36.9MiB live, 186.4MiB allocated

Counts

24 → 564

Calls

Call 1

Inputs
#<alt (/ n0_i (* (/ -1 normAngle) (tan normAngle)))>
#<alt (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle))))>
#<alt (* (/ -1 normAngle) (tan normAngle))>
#<alt (+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i)>
#<alt (* n0_i (- 1 u))>
#<alt (- 1 u)>
#<alt (* n1_i (+ (* (* normAngle (* normAngle u)) (+ (* -1/6 (* u u)) 1/6)) u))>
#<alt (+ (* (* normAngle (* normAngle u)) (+ (* -1/6 (* u u)) 1/6)) u)>
#<alt (* normAngle (* normAngle u))>
#<alt (* normAngle u)>
#<alt (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i))>
#<alt (+ (* (* normAngle normAngle) (* -1/6 (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i))>
#<alt (* normAngle normAngle)>
#<alt (* -1/6 (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i)))>
#<alt (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))>
#<alt (- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360))))>
#<alt (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))>
#<alt (+ (* n0_i 1/18) (* n0_i 1/120))>
#<alt (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u)>
#<alt (+ (* -1/6 (* u u)) 1/6)>
#<alt (* (- 1 u) (- 1 u))>
#<alt (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u)))>
#<alt (* n0_i 1/120)>
#<alt (+ (* n1_i 1/840) (* n1_i -7/2160))>

Outputs
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 n0_i)>
#<alt (+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))>
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (* 2/15 n0_i))))))>
#<alt (+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))))))))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (+ n1_i (* -1 n0_i))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))>
#<alt (/ (* n1_i normAngle) (sin normAngle))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))>
#<alt -1>
#<alt (- (* -1/3 (pow normAngle 2)) 1)>
#<alt (- (* (pow normAngle 2) (- (* -2/15 (pow normAngle 2)) 1/3)) 1)>
#<alt (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -17/315 (pow normAngle 2)) 2/15)) 1/3)) 1)>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))>
#<alt (+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))>
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))>
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))>
#<alt (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- 1 u))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (* -1 (* n0_i u))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* u (+ (* -1 n0_i) (/ n0_i u)))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))>
#<alt 1>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))>
#<alt (* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<alt (* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))>
#<alt (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt (* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))>
#<alt u>
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))>
#<alt (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<alt (* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))>
#<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)))))>
#<alt (* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))>
#<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 (* (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 (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* normAngle u)>
#<alt (* -1 (* n1_i u))>
#<alt (- (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* n1_i u))>
#<alt (- (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* n1_i u))>
#<alt (- (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* n1_i u))>
#<alt (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))>
#<alt (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* (+ 1 (* -1 u)) (pow (- 1 u) 2))) (+ 1 (* -1 u))))>
#<alt (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* (+ 1 (* -1 u)) (pow (- 1 u) 2))) (+ 1 (* -1 u))))>
#<alt (* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* (+ 1 (* -1 u)) (pow (- 1 u) 2))) (+ 1 (* -1 u))))>
#<alt (* -1 (* n0_i (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))>
#<alt (* -1 (* n0_i (- (+ 1 (+ (* (pow (- 1 u) 2) (- u 1)) (/ (* n1_i u) n0_i))) u)))>
#<alt (* -1 (* n0_i (- (+ 1 (+ (* (pow (- 1 u) 2) (- u 1)) (/ (* n1_i u) n0_i))) u)))>
#<alt (* -1 (* n0_i (- (+ 1 (+ (* (pow (- 1 u) 2) (- u 1)) (/ (* n1_i u) n0_i))) u)))>
#<alt (* u (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))>
#<alt (* u (- (+ n0_i (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (* 2 n0_i)))))) n1_i))>
#<alt (* u (- (+ n0_i (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (+ (* -1 (* n0_i u)) (* 2 n0_i))))))) n1_i))>
#<alt (* u (- (+ n0_i (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (+ (* -1 (* n0_i u)) (* 2 n0_i))))))) n1_i))>
#<alt (* -1 (* n0_i (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1 n0_i) (+ (* 2 (/ n0_i u)) (/ n0_i u))))>
#<alt (* (pow u 3) (- (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (+ (/ n0_i u) (/ n0_i (pow u 2))))))) (/ n1_i (pow u 2))))>
#<alt (* (pow u 3) (- (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (+ (/ n0_i u) (/ n0_i (pow u 2))))))) (/ n1_i (pow u 2))))>
#<alt (* -1 (* n0_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (* 2 n0_i)) u)))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u)) (* 2 n0_i))) u)))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u)) (* 2 n0_i))) u)))))>
#<alt (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))>
#<alt (- (+ (* -1 (* n1_i u)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* -1 (* n0_i u))))>
#<alt (- (+ (* -1 (* n1_i u)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* -1 (* n0_i u))))>
#<alt (- (+ (* -1 (* n1_i u)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* -1 (* n0_i u))))>
#<alt (* -1 (* n1_i u))>
#<alt (* n1_i (- (/ (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) n1_i) (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))))>
#<alt (* n1_i (- (/ (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) n1_i) (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))))>
#<alt (* n1_i (- (/ (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) n1_i) (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i u))>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* -1 u))))>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* -1 u))))>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* -1 u))))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))>
#<alt (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (/ (* n1_i u) n0_i))))))>
#<alt (* -1 (* n0_i (- (+ u (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))) (* u (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i)))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))) n0_i)))>
#<alt (* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))>
#<alt (* (pow u 3) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (* 1/6 (* n0_i (pow normAngle 2)))))>
#<alt (* (pow u 3) (- (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2))))>
#<alt (* (pow u 3) (- (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))) (/ 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))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))>
#<alt (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (/ n0_i n1_i))))))>
#<alt (* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (/ n0_i n1_i))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (pow normAngle 2)>
#<alt (* 1/6 (* n1_i u))>
#<alt (+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* 1/6 (* n1_i u)))>
#<alt (+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* 1/6 (* n1_i u)))>
#<alt (+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* 1/6 (* n1_i u)))>
#<alt (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))>
#<alt (* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* 1/6 (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* 1/6 (/ (* n1_i u) n0_i))))>
#<alt (* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* 1/6 (/ (* n1_i u) n0_i))))>
#<alt (* 1/6 (* n0_i (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))>
#<alt (* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* -1/6 (/ (* n1_i u) n0_i)))))>
#<alt (* -1/6 (* u (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)))>
#<alt (* u (+ (* -1/6 (* u (+ n0_i (* 2 n0_i)))) (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))>
#<alt (* u (+ (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (* u (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (* n0_i u))))))>
#<alt (* u (+ (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (* u (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (* n0_i u))))))>
#<alt (* 1/6 (* n0_i (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* 1/6 n0_i)))>
#<alt (* (pow u 3) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (+ (* -1/6 (/ (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i) (pow u 2))) (* 1/6 n0_i))))>
#<alt (* (pow u 3) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (+ (* -1/6 (/ (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i) (pow u 2))) (* 1/6 n0_i))))>
#<alt (* 1/6 (* n0_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 (/ (+ n0_i (* 2 n0_i)) u)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u))) u)) (* -1/6 n0_i))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u))) u)) (* -1/6 n0_i))))>
#<alt (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))>
#<alt (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) (* 1/6 (* n1_i u)))>
#<alt (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) (* 1/6 (* n1_i u)))>
#<alt (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) (* 1/6 (* n1_i u)))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* n1_i (+ (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* 1/6 u)))>
#<alt (* n1_i (+ (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* 1/6 u)))>
#<alt (* n1_i (+ (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* 1/6 u)))>
#<alt (* 1/6 (* n1_i u))>
#<alt (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* 11/15120 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -2/945 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* -1/45 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* 23/360 n0_i)>
#<alt (* u (+ n1_i (* -1 n0_i)))>
#<alt (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i)))))>
#<alt (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))>
#<alt (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))))))>
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))>
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))>
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))>
#<alt (* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))>
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))>
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))>
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))>
#<alt (* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))>
#<alt (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt 1>
#<alt (+ 1 (* -2 u))>
#<alt (+ 1 (* u (- u 2)))>
#<alt (+ 1 (* u (- u 2)))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))>
#<alt (* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))>
#<alt (* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))>
#<alt (* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))>
#<alt (* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))>
#<alt (* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))>
#<alt (* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))>
#<alt (* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))>
#<alt (* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))>
#<alt (* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))>
#<alt (* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))>
#<alt (* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))>
#<alt (* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -2 n0_i) (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (* 2 n0_i)))))))>
#<alt (+ n0_i (* u (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (+ (* -1 (* n0_i u)) (* 2 n0_i))))))))>
#<alt (* -1 (* n0_i (pow u 3)))>
#<alt (* (pow u 3) (+ (* -1 n0_i) (+ (* 2 (/ n0_i u)) (/ n0_i u))))>
#<alt (* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (/ n0_i u))))))>
#<alt (* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (+ (/ n0_i u) (/ n0_i (pow u 3))))))))>
#<alt (* -1 (* n0_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (* 2 n0_i)) u)))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n0_i (* 2 n0_i)) u)) (* 2 n0_i))) u)))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* 2 n0_i))) u)) (* 2 n0_i))) u)))))>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>

Calls

141 calls:

Time	Variable		Point	Expression
16.0ms	u	@	0	(- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i))
4.0ms	u	@	-inf	(* n1_i (+ (* (* normAngle (* normAngle u)) (+ (* -1/6 (* u u)) 1/6)) u))
2.0ms	u	@	inf	(+ (* (* normAngle normAngle) (* -1/6 (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i))
2.0ms	n0_i	@	-inf	(- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i))
2.0ms	n0_i	@	-inf	(* n0_i 1/120)

rewrite556.0ms (3.9%)

Memory

-12.1MiB live, 1 034.9MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 310×	`-lowering-.f32`
8 310×	`-lowering-.f64`
6 138×	`accelerator-lowering-fma.f32`
6 138×	`accelerator-lowering-fma.f64`
4 082×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	262
1	371	241
2	3582	241
0	11125	225

Stop Event

1×	iter limit
1×	node limit

Counts

24 → 825

Calls

Call 1

Inputs
(/ n0_i (* (/ -1 normAngle) (tan normAngle)))
(+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle))))
(* (/ -1 normAngle) (tan normAngle))
(+ (* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u) n0_i)
(* n0_i (- 1 u))
(- 1 u)
(* n1_i (+ (* (* normAngle (* normAngle u)) (+ (* -1/6 (* u u)) 1/6)) u))
(+ (* (* normAngle (* normAngle u)) (+ (* -1/6 (* u u)) 1/6)) u)
(* normAngle (* normAngle u))
(* normAngle u)
(- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i))
(+ (* (* normAngle normAngle) (* -1/6 (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i)))) (+ (* (- n1_i n0_i) u) n0_i))
(* normAngle normAngle)
(* -1/6 (- (* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u))) (+ (* (- n1_i n0_i) u) n0_i)))
(+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360)))
(- (* n0_i -1/720) (+ (* -1/6 (- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))) (+ (* n0_i -1/5040) (* n0_i -1/360))))
(- (* n0_i 1/24) (+ (* n0_i 1/18) (* n0_i 1/120)))
(+ (* n0_i 1/18) (* n0_i 1/120))
(* (+ (* normAngle (/ n1_i (sin normAngle))) (/ n0_i (* (/ -1 normAngle) (tan normAngle)))) u)
(+ (* -1/6 (* u u)) 1/6)
(* (- 1 u) (- 1 u))
(* (+ (* n0_i (neg u)) n0_i) (* (- 1 u) (- 1 u)))
(* n0_i 1/120)
(+ (* n1_i 1/840) (* n1_i -7/2160))

Outputs
(neg.f32 (/.f32 n0_i (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 n0_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(exp.f32 (.f32 (log.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) #s(literal -1 binary32))
(/.f32 n0_i (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))))
(/.f32 (neg.f32 n0_i) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)))
(/.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (tan.f32 normAngle))
(/.f32 (*.f32 n0_i #s(literal 1 binary32)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(/.f32 (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (tan.f32 normAngle)))
(/.f32 (/.f32 n0_i (tan.f32 normAngle)) (/.f32 #s(literal -1 binary32) normAngle))
(.f32 n0_i (/.f32 (.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)))
(.f32 #s(literal 1 binary32) (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))
(*.f32 (neg.f32 n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(.f32 (.f32 normAngle #s(literal -1 binary32)) (pow.f32 (/.f32 (tan.f32 normAngle) n0_i) #s(literal -1 binary32)))
(.f32 (/.f32 (.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) n0_i)
(.f32 (/.f32 (.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)))
(.f32 (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))))
(*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)
(.f32 (/.f32 (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))) (sin.f32 normAngle)) (cos.f32 normAngle))
(+.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))
(pow.f32 (/.f32 (fma.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (-.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))) (/.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 (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) 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))))) (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32)))) #s(literal -1 binary32))
(fma.f32 n0_i (/.f32 (.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))
(fma.f32 n1_i (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) normAngle) (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))
(fma.f32 (/.f32 n1_i (sin.f32 normAngle)) normAngle (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))
(fma.f32 #s(literal 1 binary32) (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (neg.f32 n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (.f32 normAngle #s(literal -1 binary32)) (pow.f32 (/.f32 (tan.f32 normAngle) n0_i) #s(literal -1 binary32)) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) n0_i (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (.f32 normAngle #s(literal -1 binary32)) (tan.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) n0_i) #s(literal -1 binary32)) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (.f32 normAngle n1_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))
(fma.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 #s(literal 1 binary32) (tan.f32 normAngle)) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(fma.f32 (/.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (sin.f32 normAngle)) (cos.f32 normAngle) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle)))
(-.f32 (/.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)))) (/.f32 (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32)) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (-.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))) (/.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 (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) 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))))) (pow.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (-.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))))
(/.f32 (+.f32 (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (.f32 normAngle n1_i)) (.f32 (.f32 normAngle n1_i) (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))) (sin.f32 normAngle))))
(/.f32 (-.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32))) (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 normAngle) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 normAngle n1_i))) (*.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 #s(literal 1 binary32) (sin.f32 normAngle) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 normAngle n1_i))) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (neg.f32 n0_i) (sin.f32 normAngle) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 normAngle n1_i))) (*.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (sin.f32 normAngle) (.f32 (tan.f32 normAngle) (.f32 normAngle n1_i))) (*.f32 (tan.f32 normAngle) (sin.f32 normAngle)))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (sin.f32 normAngle) n0_i)) (*.f32 (sin.f32 normAngle) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 (sin.f32 normAngle) #s(literal 1 binary32))) (.f32 (sin.f32 normAngle) (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 (sin.f32 normAngle) (neg.f32 n0_i))) (*.f32 (sin.f32 normAngle) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (tan.f32 normAngle) (.f32 (sin.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))))) (*.f32 (sin.f32 normAngle) (tan.f32 normAngle)))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (-.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))) (/.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 (neg.f32 (-.f32 (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32)))) (neg.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 (*.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle)))))
(/.f32 (-.f32 (pow.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) #s(literal 2 binary32)) (/.f32 (.f32 (.f32 normAngle n1_i) (.f32 normAngle n1_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (-.f32 (.f32 (/.f32 n0_i (neg.f32 (tan.f32 normAngle))) normAngle) (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) #s(literal 1 binary32))) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (fma.f32 n0_i (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (neg.f32 (.f32 normAngle n1_i)))) (*.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 normAngle #s(literal 1 binary32)))) (*.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 n0_i (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 normAngle (neg.f32 n1_i)))) (*.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 n0_i (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 #s(literal 1 binary32) normAngle))) (*.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 n0_i (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (neg.f32 n1_i) normAngle))) (*.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) normAngle)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) #s(literal 1 binary32))) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (+.f32 (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 normAngle n1_i))) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))) (sin.f32 normAngle)))
(/.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (neg.f32 (.f32 normAngle n1_i)))) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 normAngle #s(literal 1 binary32)))) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 normAngle (neg.f32 n1_i)))) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 #s(literal 1 binary32) normAngle))) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 (neg.f32 n1_i) normAngle))) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) normAngle)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32))) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (neg.f32 (.f32 normAngle n1_i)))) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 normAngle #s(literal 1 binary32)))) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 normAngle (neg.f32 n1_i)))) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 #s(literal 1 binary32) normAngle))) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 (neg.f32 n1_i) normAngle))) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) normAngle)) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) #s(literal 1 binary32))) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (fma.f32 #s(literal 1 binary32) (sin.f32 normAngle) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 normAngle n1_i))) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)) (sin.f32 normAngle)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (neg.f32 (.f32 normAngle n1_i)))) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 normAngle #s(literal 1 binary32)))) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 normAngle (neg.f32 n1_i)))) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 #s(literal 1 binary32) normAngle))) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 (neg.f32 n1_i) normAngle))) (.f32 (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) #s(literal 1 binary32))) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (fma.f32 #s(literal 1 binary32) (sin.f32 normAngle) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 normAngle n1_i))) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) (sin.f32 normAngle)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (.f32 normAngle n1_i)))) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 normAngle #s(literal 1 binary32)))) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 normAngle (neg.f32 n1_i)))) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 #s(literal 1 binary32) normAngle))) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 (neg.f32 n1_i) normAngle))) (.f32 (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) normAngle)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) #s(literal 1 binary32))) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (fma.f32 (neg.f32 n0_i) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (neg.f32 (.f32 normAngle n1_i)))) (*.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 normAngle #s(literal 1 binary32)))) (*.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (neg.f32 n0_i) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 normAngle (neg.f32 n1_i)))) (*.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 n0_i) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 #s(literal 1 binary32) normAngle))) (*.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (neg.f32 n0_i) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 (neg.f32 n1_i) normAngle))) (*.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (tan.f32 normAngle) normAngle)) (.f32 (tan.f32 normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (tan.f32 normAngle) #s(literal 1 binary32))) (.f32 (tan.f32 normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (neg.f32 (sin.f32 normAngle)) (.f32 (tan.f32 normAngle) (neg.f32 (.f32 normAngle n1_i)))) (*.f32 (tan.f32 normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (tan.f32 normAngle) (.f32 normAngle #s(literal 1 binary32)))) (*.f32 (tan.f32 normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (neg.f32 (sin.f32 normAngle)) (.f32 (tan.f32 normAngle) (.f32 normAngle (neg.f32 n1_i)))) (*.f32 (tan.f32 normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (tan.f32 normAngle) (.f32 #s(literal 1 binary32) normAngle))) (*.f32 (tan.f32 normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))) (neg.f32 (sin.f32 normAngle)) (.f32 (tan.f32 normAngle) (.f32 (neg.f32 n1_i) normAngle))) (*.f32 (tan.f32 normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (.f32 n0_i #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) normAngle)) (*.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (.f32 n0_i #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) #s(literal 1 binary32))) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))))
(/.f32 (fma.f32 (.f32 n0_i #s(literal 1 binary32)) (sin.f32 normAngle) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 normAngle n1_i))) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (.f32 n0_i #s(literal 1 binary32)) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (neg.f32 (.f32 normAngle n1_i)))) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (.f32 n0_i #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 normAngle #s(literal 1 binary32)))) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (.f32 n0_i #s(literal 1 binary32)) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 normAngle (neg.f32 n1_i)))) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (.f32 n0_i #s(literal 1 binary32)) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 #s(literal 1 binary32) normAngle))) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (.f32 n0_i #s(literal 1 binary32)) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (neg.f32 n1_i) normAngle))) (.f32 (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) normAngle)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) #s(literal 1 binary32))) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (sin.f32 normAngle) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 normAngle n1_i))) (*.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (sin.f32 normAngle)))
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (neg.f32 (.f32 normAngle n1_i)))) (*.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 normAngle #s(literal 1 binary32)))) (*.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 normAngle (neg.f32 n1_i)))) (*.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 #s(literal 1 binary32) normAngle))) (*.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (neg.f32 (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 (neg.f32 n1_i) normAngle))) (*.f32 (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (tan.f32 normAngle)) normAngle)) (.f32 (neg.f32 (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (neg.f32 (tan.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (fma.f32 (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (sin.f32 normAngle) (.f32 (neg.f32 (tan.f32 normAngle)) (.f32 normAngle n1_i))) (*.f32 (neg.f32 (tan.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 (.f32 normAngle n1_i)))) (*.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (tan.f32 normAngle)) (.f32 normAngle #s(literal 1 binary32)))) (*.f32 (neg.f32 (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (tan.f32 normAngle)) (.f32 normAngle (neg.f32 n1_i)))) (*.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (neg.f32 (tan.f32 normAngle)) (.f32 #s(literal 1 binary32) normAngle))) (*.f32 (neg.f32 (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (neg.f32 (sin.f32 normAngle)) (.f32 (neg.f32 (tan.f32 normAngle)) (.f32 (neg.f32 n1_i) normAngle))) (*.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (/.f32 n0_i (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) normAngle)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (/.f32 n0_i (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) #s(literal 1 binary32))) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))))
(/.f32 (fma.f32 (/.f32 n0_i (tan.f32 normAngle)) (sin.f32 normAngle) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (.f32 normAngle n1_i))) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (sin.f32 normAngle)))
(/.f32 (fma.f32 (/.f32 n0_i (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (neg.f32 (.f32 normAngle n1_i)))) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (/.f32 n0_i (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (.f32 normAngle #s(literal 1 binary32)))) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (/.f32 n0_i (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (.f32 normAngle (neg.f32 n1_i)))) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 (/.f32 n0_i (tan.f32 normAngle)) (/.f32 (sin.f32 normAngle) n1_i) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (.f32 #s(literal 1 binary32) normAngle))) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (/.f32 (sin.f32 normAngle) n1_i)))
(/.f32 (fma.f32 (/.f32 n0_i (tan.f32 normAngle)) (neg.f32 (sin.f32 normAngle)) (.f32 (/.f32 #s(literal -1 binary32) normAngle) (.f32 (neg.f32 n1_i) normAngle))) (*.f32 (/.f32 #s(literal -1 binary32) normAngle) (neg.f32 (sin.f32 normAngle))))
(/.f32 (fma.f32 normAngle (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) n0_i)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 normAngle (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)))))
(/.f32 (fma.f32 normAngle (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))))
(/.f32 (fma.f32 normAngle (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32))))
(/.f32 (fma.f32 normAngle (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))))))
(/.f32 (fma.f32 normAngle (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 n0_i))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(/.f32 (fma.f32 normAngle (tan.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (tan.f32 normAngle)))
(/.f32 (fma.f32 normAngle (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i #s(literal 1 binary32)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 normAngle (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (neg.f32 n0_i)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)))))
(/.f32 (fma.f32 normAngle (neg.f32 (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (tan.f32 normAngle))))
(/.f32 (fma.f32 normAngle (/.f32 #s(literal -1 binary32) normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 n0_i (tan.f32 normAngle)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 #s(literal -1 binary32) normAngle)))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) n0_i)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) #s(literal -1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))))))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 n0_i))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (tan.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (tan.f32 normAngle)))
(/.f32 (fma.f32 #s(literal 1 binary32) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (neg.f32 n0_i)))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)))))
(/.f32 (fma.f32 #s(literal 1 binary32) (neg.f32 (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (neg.f32 (tan.f32 normAngle))))
(/.f32 (+.f32 (/.f32 #s(literal -1 binary32) normAngle) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 n0_i (tan.f32 normAngle)))) (.f32 (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i)) (/.f32 #s(literal -1 binary32) normAngle)))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 (sin.f32 normAngle) #s(literal -1 binary32))) (.f32 (sin.f32 normAngle) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 (sin.f32 normAngle) #s(literal 1 binary32))) (.f32 (sin.f32 normAngle) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 (sin.f32 normAngle) #s(literal 1 binary32))) (.f32 (sin.f32 normAngle) (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (sin.f32 normAngle) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 (sin.f32 normAngle) (neg.f32 (neg.f32 n0_i)))) (*.f32 (sin.f32 normAngle) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (neg.f32 (tan.f32 normAngle)) (.f32 (sin.f32 normAngle) (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))))) (*.f32 (sin.f32 normAngle) (neg.f32 (tan.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (/.f32 #s(literal -1 binary32) normAngle) (.f32 (sin.f32 normAngle) (/.f32 n0_i (tan.f32 normAngle)))) (*.f32 (sin.f32 normAngle) (/.f32 #s(literal -1 binary32) normAngle)))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) n0_i)) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal -1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 n0_i))) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (tan.f32 normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))))) (*.f32 (neg.f32 (sin.f32 normAngle)) (tan.f32 normAngle)))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (neg.f32 n0_i)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (neg.f32 (tan.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))))) (*.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (tan.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (/.f32 #s(literal -1 binary32) normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 #s(literal -1 binary32) normAngle)))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) n0_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))))))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 n0_i))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (tan.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (tan.f32 normAngle)))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (neg.f32 n0_i)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (neg.f32 (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (tan.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle #s(literal 1 binary32)) (/.f32 #s(literal -1 binary32) normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 n0_i (tan.f32 normAngle)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 #s(literal -1 binary32) normAngle)))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) n0_i)) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal -1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))))))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 n0_i))) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (tan.f32 normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))))) (*.f32 (neg.f32 (sin.f32 normAngle)) (tan.f32 normAngle)))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (neg.f32 n0_i)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)))))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (neg.f32 (tan.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))))) (*.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (tan.f32 normAngle))))
(/.f32 (fma.f32 (.f32 normAngle (neg.f32 n1_i)) (/.f32 #s(literal -1 binary32) normAngle) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 n0_i (tan.f32 normAngle)))) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 #s(literal -1 binary32) normAngle)))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) n0_i)) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal 1 binary32))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 n0_i))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (tan.f32 normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32))))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (tan.f32 normAngle)))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (.f32 n0_i #s(literal 1 binary32)))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (neg.f32 n0_i)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (neg.f32 (tan.f32 normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (neg.f32 (tan.f32 normAngle))))
(/.f32 (fma.f32 (.f32 #s(literal 1 binary32) normAngle) (/.f32 #s(literal -1 binary32) normAngle) (.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 n0_i (tan.f32 normAngle)))) (*.f32 (/.f32 (sin.f32 normAngle) n1_i) (/.f32 #s(literal -1 binary32) normAngle)))
(/.f32 (fma.f32 (.f32 (neg.f32 n1_i) normAngle) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) n0_i)) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (tan.f32 normAngle) (neg.f32 normAngle))))
(/.f32 (fma.f32 (.f32 (neg.f32 n1_i) normAngle) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle))) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal -1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)))))
(/.f32 (fma.f32 (.f32 (neg.f32 n1_i) normAngle) (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle))))
(/.f32 (fma.f32 (.f32 (neg.f32 n1_i) normAngle) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (.f32 n0_i normAngle)) #s(literal 1 binary32)) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (/.f32 (neg.f32 (tan.f32 normAngle)) (*.f32 n0_i normAngle)) #s(literal 1 binary32))))
(/.f32 (fma.f32 (.f32 (neg.f32 n1_i) normAngle) (/.f32 (tan.f32 normAngle) (.f32 n0_i (.f32 normAngle #s(literal -1 binary32)))) (.f32 (neg.f32 (sin.f32 normAngle)) #s(literal 1 binary32))) (.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (tan.f32 normAngle) (.f32 n0_i (*.f32 normAngle #s(literal -1 binary32))))))
(/.f32 (fma.f32 (.f32 (neg.f32 n1_i) normAngle) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle)) (.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 n0_i))) (*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 (neg.f32 (tan.f32 normAngle)) (neg.f32 normAngle))))
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(/.f32 (.f32 (fma.f32 (.f32 u u) (.f32 n0_i n0_i) (.f32 (neg.f32 n0_i) n0_i)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 n0_i (neg.f32 u) (neg.f32 n0_i)))
(.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)))
(.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (fma.f32 n0_i (neg.f32 u) n0_i))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (neg.f32 u) n0_i)) (-.f32 #s(literal 1 binary32) u))
(*.f32 n0_i #s(literal 1/120 binary32))
(*.f32 #s(literal 1/120 binary32) n0_i)
(+.f32 (.f32 n1_i #s(literal 1/840 binary32)) (.f32 n1_i #s(literal -7/2160 binary32)))
(+.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32)))
(pow.f32 (/.f32 (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))) (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 n1_i #s(literal 67/15120 binary32)) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32)))) #s(literal -1 binary32))
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
(fma.f32 n1_i #s(literal -7/2160 binary32) (*.f32 n1_i #s(literal 1/840 binary32)))
(fma.f32 #s(literal 1/840 binary32) n1_i (*.f32 n1_i #s(literal -7/2160 binary32)))
(fma.f32 #s(literal -7/2160 binary32) n1_i (*.f32 n1_i #s(literal 1/840 binary32)))
(-.f32 (/.f32 (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))) (/.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/4665600 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))) (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 n1_i #s(literal 67/15120 binary32)) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32)))))
(/.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32))) (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))))
(/.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32))) (fma.f32 (.f32 n1_i n1_i) #s(literal 49/4665600 binary32) (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32)) (.f32 #s(literal 1/840 binary32) (.f32 n1_i (*.f32 n1_i #s(literal -7/2160 binary32)))))))
(/.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))) (.f32 n1_i #s(literal 67/15120 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32)))) (neg.f32 (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32)))))
(/.f32 (neg.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32)))) (neg.f32 (.f32 n1_i #s(literal 67/15120 binary32))))
(/.f32 (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/4665600 binary32)) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))))
(*.f32 n1_i #s(literal -31/15120 binary32))
(.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (*.f32 n1_i n1_i) #s(literal 1/705600 binary32)))))
(.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 n1_i #s(literal 67/15120 binary32))))
(*.f32 #s(literal -31/15120 binary32) n1_i)

simplify527.0ms (3.7%)

Memory

17.0MiB live, 1 043.8MiB allocated

Algorithm

1×	egg-herbie

Rules

13 066×	`accelerator-lowering-fma.f32`
13 066×	`accelerator-lowering-fma.f64`
7 414×	`-lowering-.f32`
7 414×	`-lowering-.f64`
5 074×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	662	8431
1	2226	7752
0	8176	7388

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 n0_i)
(+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (* 2/15 n0_i))))))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))))))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(+ n1_i (* -1 n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (* 1/3 n0_i) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (* normAngle (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(/ (* n1_i normAngle) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
-1
(- (* -1/3 (pow normAngle 2)) 1)
(- (* (pow normAngle 2) (- (* -2/15 (pow normAngle 2)) 1/3)) 1)
(- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -17/315 (pow normAngle 2)) 2/15)) 1/3)) 1)
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* normAngle (+ (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))) (/ n0_i normAngle)))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle)))))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))) (* -1 (/ n0_i u)))))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
(* n0_i (- 1 u))
n0_i
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 (* n0_i u))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
1
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(+ 1 (* -1 u))
(* -1 u)
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* u (- (/ 1 u) 1))
(* -1 u)
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* -1 (* u (- 1 (/ 1 u))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i u)
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
u
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* u (+ 1 (+ (* -1/6 (* (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2)))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* (pow u 3) (+ (* -1/6 (pow normAngle 2)) (+ (* 1/6 (/ (pow normAngle 2) (pow u 2))) (/ 1 (pow u 2)))))
(* -1/6 (* (pow normAngle 2) (pow u 3)))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(* -1 (* (pow u 3) (- (+ (* -1/6 (/ (pow normAngle 2) (pow u 2))) (* 1/6 (pow normAngle 2))) (/ 1 (pow u 2)))))
(* (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)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* -1 (* n1_i u))
(- (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* n1_i u))
(- (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* n1_i u))
(- (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* n1_i u))
(* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))
(* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* (+ 1 (* -1 u)) (pow (- 1 u) 2))) (+ 1 (* -1 u))))
(* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* (+ 1 (* -1 u)) (pow (- 1 u) 2))) (+ 1 (* -1 u))))
(* n0_i (- (+ (* -1 (/ (* n1_i u) n0_i)) (* (+ 1 (* -1 u)) (pow (- 1 u) 2))) (+ 1 (* -1 u))))
(* -1 (* n0_i (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))
(* -1 (* n0_i (- (+ 1 (+ (* (pow (- 1 u) 2) (- u 1)) (/ (* n1_i u) n0_i))) u)))
(* -1 (* n0_i (- (+ 1 (+ (* (pow (- 1 u) 2) (- u 1)) (/ (* n1_i u) n0_i))) u)))
(* -1 (* n0_i (- (+ 1 (+ (* (pow (- 1 u) 2) (- u 1)) (/ (* n1_i u) n0_i))) u)))
(* u (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))
(* u (- (+ n0_i (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (* 2 n0_i)))))) n1_i))
(* u (- (+ n0_i (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (+ (* -1 (* n0_i u)) (* 2 n0_i))))))) n1_i))
(* u (- (+ n0_i (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (+ (* -1 (* n0_i u)) (* 2 n0_i))))))) n1_i))
(* -1 (* n0_i (pow u 3)))
(* (pow u 3) (+ (* -1 n0_i) (+ (* 2 (/ n0_i u)) (/ n0_i u))))
(* (pow u 3) (- (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (+ (/ n0_i u) (/ n0_i (pow u 2))))))) (/ n1_i (pow u 2))))
(* (pow u 3) (- (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (+ (/ n0_i u) (/ n0_i (pow u 2))))))) (/ n1_i (pow u 2))))
(* -1 (* n0_i (pow u 3)))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (* 2 n0_i)) u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u)) (* 2 n0_i))) u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u)) (* 2 n0_i))) u)))))
(- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))
(- (+ (* -1 (* n1_i u)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* -1 (* n0_i u))))
(- (+ (* -1 (* n1_i u)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* -1 (* n0_i u))))
(- (+ (* -1 (* n1_i u)) (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2))) (+ n0_i (* -1 (* n0_i u))))
(* -1 (* n1_i u))
(* n1_i (- (/ (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) n1_i) (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))))
(* n1_i (- (/ (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) n1_i) (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))))
(* n1_i (- (/ (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) n1_i) (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (/ n0_i n1_i)))))
(* -1 (* n1_i u))
(* -1 (* n1_i (- (* -1 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* -1 u))))
(* -1 (* n1_i (- (* -1 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* -1 u))))
(* -1 (* n1_i (- (* -1 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* -1 u))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))
(+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))
(+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))
(* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (/ (* n1_i u) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (/ (* n1_i u) n0_i))))))
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (/ (* n1_i u) n0_i))))))
(* -1 (* n0_i (- (+ u (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))
n0_i
(+ n0_i (* u (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)))) n0_i)))
(+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))) (* u (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i)))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))) n0_i)))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(* (pow u 3) (- (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2))))
(* (pow u 3) (- (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))) (/ 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))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (/ n0_i n1_i))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) n1_i)) (+ (* 1/6 (* (pow normAngle 2) u)) (/ n0_i n1_i))))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) u)))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))))) n1_i)) (* -1/6 (* (pow normAngle 2) u))))))
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(pow normAngle 2)
(* 1/6 (* n1_i u))
(+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* 1/6 (* n1_i u)))
(+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* 1/6 (* n1_i u)))
(+ (* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (* 1/6 (* n1_i u)))
(* -1/6 (* n0_i (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))
(* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* 1/6 (/ (* n1_i u) n0_i))))
(* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* 1/6 (/ (* n1_i u) n0_i))))
(* n0_i (+ (* -1/6 (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))) (* 1/6 (/ (* n1_i u) n0_i))))
(* 1/6 (* n0_i (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))
(* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* -1/6 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* -1/6 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1/6 (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)) (* -1/6 (/ (* n1_i u) n0_i)))))
(* -1/6 (* u (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)))
(* u (+ (* -1/6 (* u (+ n0_i (* 2 n0_i)))) (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))
(* u (+ (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (* u (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (* n0_i u))))))
(* u (+ (* -1/6 (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (* u (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (* n0_i u))))))
(* 1/6 (* n0_i (pow u 3)))
(* (pow u 3) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (* 1/6 n0_i)))
(* (pow u 3) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (+ (* -1/6 (/ (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i) (pow u 2))) (* 1/6 n0_i))))
(* (pow u 3) (+ (* -1/6 (/ (+ n0_i (* 2 n0_i)) u)) (+ (* -1/6 (/ (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i) (pow u 2))) (* 1/6 n0_i))))
(* 1/6 (* n0_i (pow u 3)))
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 (/ (+ n0_i (* 2 n0_i)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u))) u)) (* -1/6 n0_i))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/6 (+ n0_i (* 2 n0_i))) (* 1/6 (/ (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))) u))) u)) (* -1/6 n0_i))))
(* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))
(+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) (* 1/6 (* n1_i u)))
(+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) (* 1/6 (* n1_i u)))
(+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))) (* 1/6 (* n1_i u)))
(* 1/6 (* n1_i u))
(* n1_i (+ (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* 1/6 u)))
(* n1_i (+ (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* 1/6 u)))
(* n1_i (+ (* -1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)) (* 1/6 u)))
(* 1/6 (* n1_i u))
(* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))) n1_i)))))
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* 11/15120 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -2/945 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* -1/45 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* 23/360 n0_i)
(* u (+ n1_i (* -1 n0_i)))
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i)))))
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))
(+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))))))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
1/6
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
1
(+ 1 (* -2 u))
(+ 1 (* u (- u 2)))
(+ 1 (* u (- u 2)))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))
(* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))
(* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))
(* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))
n0_i
(+ n0_i (* u (+ (* -2 n0_i) (* -1 n0_i))))
(+ n0_i (* u (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (* 2 n0_i)))))))
(+ n0_i (* u (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (+ (* -1 (* n0_i u)) (* 2 n0_i))))))))
(* -1 (* n0_i (pow u 3)))
(* (pow u 3) (+ (* -1 n0_i) (+ (* 2 (/ n0_i u)) (/ n0_i u))))
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (/ n0_i u))))))
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (+ (/ n0_i u) (/ n0_i (pow u 3))))))))
(* -1 (* n0_i (pow u 3)))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (* 2 n0_i)) u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n0_i (* 2 n0_i)) u)) (* 2 n0_i))) u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* 2 n0_i))) u)) (* 2 n0_i))) u)))))
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_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)

Outputs
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 n0_i)
(neg.f32 n0_i)
(+ (* -1 n0_i) (* 1/3 (* n0_i (pow normAngle 2))))
(fma.f32 n0_i (.f32 #s(literal 1/3 binary32) (.f32 normAngle normAngle)) (neg.f32 n0_i))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (* 2/15 n0_i))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) #s(literal 1/45 binary32))) (neg.f32 n0_i))
(+ (* -1 n0_i) (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* -1/9 n0_i) (+ (* 2/15 n0_i) (* (pow normAngle 2) (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32)))) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(neg.f32 (/.f32 (.f32 (cos.f32 normAngle) (.f32 normAngle n0_i)) (sin.f32 normAngle)))
(+ 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 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/3 n0_i) (* (pow normAngle 2) (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i))))) (* -1/6 n1_i)))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
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(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(* normAngle (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle))))
(*.f32 normAngle (fma.f32 (neg.f32 n0_i) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
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-1
#s(literal -1 binary32)
(- (* -1/3 (pow normAngle 2)) 1)
(fma.f32 (*.f32 normAngle normAngle) #s(literal -1/3 binary32) #s(literal -1 binary32))
(- (* (pow normAngle 2) (- (* -2/15 (pow normAngle 2)) 1/3)) 1)
(fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -2/15 binary32) #s(literal -1/3 binary32))) #s(literal -1 binary32))
(- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -17/315 (pow normAngle 2)) 2/15)) 1/3)) 1)
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(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
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(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
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(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (sin.f32 normAngle) (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)))
(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
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(* -1 (/ (sin normAngle) (* normAngle (cos normAngle))))
(/.f32 (sin.f32 normAngle) (*.f32 (neg.f32 normAngle) (cos.f32 normAngle)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (* u (- (* 1/3 n0_i) (* -1/6 n1_i))))))
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(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))))))))
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(+ n0_i (+ (* u (+ n1_i (* -1 n0_i))) (* (pow normAngle 2) (+ (* u (- (* 1/3 n0_i) (* -1/6 n1_i))) (* (pow normAngle 2) (+ (* u (- (+ (* -1/9 n0_i) (* 2/15 n0_i)) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* (pow normAngle 2) (* u (- (+ (* -1/3 (+ (* -1/9 n0_i) (* 2/15 n0_i))) (+ (* -2/45 n0_i) (* 17/315 n0_i))) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))))))))))
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(* normAngle (* u (+ (* -1 (/ (* n0_i (cos normAngle)) (sin normAngle))) (/ n1_i (sin normAngle)))))
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(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
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(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 normAngle (.f32 n1_i u)) (sin.f32 normAngle))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
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(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
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(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 normAngle (.f32 n1_i u)) (sin.f32 normAngle))
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(.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))
(* (pow normAngle 2) (+ (* u (+ 1/6 (* -1/6 (pow u 2)))) (/ u (pow normAngle 2))))
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(.f32 (.f32 u (.f32 u u)) (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) (fma.f32 (.f32 normAngle normAngle) (/.f32 #s(literal 1/6 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))
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(.f32 (.f32 u (.f32 u u)) (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) (fma.f32 (.f32 normAngle normAngle) (/.f32 #s(literal 1/6 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (*.f32 u u)))))
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(* normAngle u)
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(* normAngle u)
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(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i)))))) (* u (- n1_i n0_i))))
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))))
(.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))))
(.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -1/6 (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* u (- n1_i n0_i))))) (+ (/ n0_i (pow normAngle 2)) (/ (* u (- n1_i n0_i)) (pow normAngle 2)))))
(.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) (/.f32 u (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (-.f32 n0_i (.f32 n0_i u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 u (-.f32 n1_i n0_i) n0_i)) (/.f32 n0_i (*.f32 normAngle normAngle)))))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) u) u))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))
(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u))) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))
(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u))) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (+ (* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u)))))))) (* n1_i u)))
(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u))) (-.f32 #s(literal 1 binary32) u)) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)))
(* n0_i (+ 1 (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))))))
(fma.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u))) (neg.f32 u)) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (/ (* n1_i u) n0_i))))))
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u)) (/.f32 (.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 (*.f32 normAngle normAngle) u))) n0_i))) u) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (/ (* n1_i u) n0_i))))))
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u)) (/.f32 (.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 (*.f32 normAngle normAngle) u))) n0_i))) u) n0_i)
(* n0_i (+ 1 (+ (* -1 u) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ 1 (* -1 u)) (pow (- 1 u) 2)) (+ 1 (* -1 u))))) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) u)) n0_i)) (/ (* n1_i u) n0_i))))))
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u)) (/.f32 (.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 (*.f32 normAngle normAngle) u))) n0_i))) u) n0_i)
(* -1 (* n0_i (- (+ u (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u)))) 1)))
(neg.f32 (fma.f32 n0_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))
(neg.f32 (.f32 n0_i (+.f32 (-.f32 u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))
(neg.f32 (.f32 n0_i (+.f32 (-.f32 u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))))
(* -1 (* n0_i (- (+ u (+ (* -1 (/ (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ 1 (* (pow (- 1 u) 2) (- u 1))) u))))) 1)))
(neg.f32 (.f32 n0_i (+.f32 (-.f32 u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))))
n0_i
(+ n0_i (* u (- (+ n1_i (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)))) n0_i)))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (-.f32 (neg.f32 n0_i) n0_i) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (* u (+ n0_i (* 2 n0_i))))) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))))) n0_i)))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (+ (* -1/6 (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i))) (* u (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i)))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))) n0_i)))
(fma.f32 u (+.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (-.f32 (fma.f32 u (.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i) (.f32 u (.f32 #s(literal 1/6 binary32) (.f32 n0_i (.f32 (.f32 normAngle normAngle) u))))) (-.f32 n1_i n0_i)) n0_i)
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 (.f32 u (.f32 u u)) #s(literal 1/6 binary32)))
(* (pow u 3) (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (* 1/6 (* n0_i (pow normAngle 2)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 (.f32 normAngle normAngle) (/.f32 (.f32 #s(literal -1/2 binary32) n0_i) u))))
(* (pow u 3) (- (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ n1_i (pow u 2))))) (/ n0_i (pow u 2))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 (.f32 normAngle normAngle) (/.f32 (.f32 #s(literal -1/2 binary32) n0_i) u) (fma.f32 (.f32 normAngle normAngle) (.f32 (-.f32 (-.f32 (neg.f32 n0_i) n0_i) n1_i) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (-.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 n1_i (.f32 u u))) (/.f32 n0_i (.f32 u u))))))
(* (pow u 3) (- (+ (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ n0_i (+ (* -2 n0_i) (* -1 n0_i))) n1_i)) (pow u 2))) (+ (* 1/6 (* n0_i (pow normAngle 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2)))))) (/ n0_i (pow u 2))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 (.f32 normAngle normAngle) (/.f32 (.f32 #s(literal -1/2 binary32) n0_i) u) (fma.f32 (.f32 normAngle normAngle) (.f32 (-.f32 (-.f32 (neg.f32 n0_i) n0_i) n1_i) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (-.f32 (+.f32 (/.f32 n1_i (.f32 u u)) (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 n0_i (.f32 u (.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 (.f32 u (.f32 u u)) #s(literal 1/6 binary32)))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* (pow normAngle 2) (+ n0_i (* 2 n0_i))) u)))))
(.f32 (fma.f32 (.f32 normAngle normAngle) (/.f32 (.f32 #s(literal 1/2 binary32) n0_i) u) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i)))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (-.f32 (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) n0_i) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i))) (neg.f32 (-.f32 n1_i n0_i))) (neg.f32 u))) u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- n1_i n0_i)) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (+ n0_i (* 2 n0_i)) (* -1 (- n1_i n0_i))))))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* 2 n0_i))))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/2 binary32) n0_i) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 #s(literal 3 binary32) n0_i (-.f32 n1_i n0_i))) (-.f32 (neg.f32 (-.f32 n1_i n0_i)) (/.f32 n0_i u))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (.f32 u (*.f32 u u))))
(+ n0_i (+ (* -1 (* n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u))))))))
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (-.f32 n0_i (.f32 n0_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* -1/6 (* (pow normAngle 2) (- (* (+ n0_i (* -1 (* n0_i u))) (pow (- 1 u) 2)) (+ n0_i (* -1 (* n0_i u)))))) (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u)))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u))))
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(*.f32 n0_i #s(literal 11/15120 binary32))
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(*.f32 n0_i #s(literal 11/15120 binary32))
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(*.f32 n0_i #s(literal 11/15120 binary32))
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(*.f32 n0_i #s(literal 23/360 binary32))
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(*.f32 u (-.f32 n1_i n0_i))
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(* -1 (* normAngle (* u (+ (* -1 (/ n1_i (sin normAngle))) (/ (* n0_i (cos normAngle)) (sin normAngle))))))
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1/6
#s(literal 1/6 binary32)
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(* -1/6 (pow u 2))
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1
#s(literal 1 binary32)
(+ 1 (* -2 u))
(fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* u (- u 2)))
(fma.f32 u (+.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))
(+ 1 (* u (- u 2)))
(fma.f32 u (+.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 u (.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1 binary32) (*.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 u (.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(.f32 (.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u)))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(.f32 (.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (* (+ 1 (* -1 u)) (pow (- 1 u) 2)))
(.f32 (-.f32 n0_i (.f32 n0_i u)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))
(.f32 (neg.f32 n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u))))
(* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))
(.f32 (neg.f32 n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u))))
(* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))
(.f32 (neg.f32 n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u))))
(* -1 (* n0_i (* (pow (- 1 u) 2) (- u 1))))
(.f32 (neg.f32 n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u))))
n0_i
(+ n0_i (* u (+ (* -2 n0_i) (* -1 n0_i))))
(fma.f32 n0_i (*.f32 #s(literal -3 binary32) u) n0_i)
(+ n0_i (* u (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (* 2 n0_i)))))))
(fma.f32 u (fma.f32 n0_i #s(literal -3 binary32) (.f32 u (.f32 #s(literal 3 binary32) n0_i))) n0_i)
(+ n0_i (* u (+ (* -2 n0_i) (+ (* -1 n0_i) (* u (+ n0_i (+ (* -1 (* n0_i u)) (* 2 n0_i))))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (neg.f32 u) (.f32 #s(literal 3 binary32) n0_i)) (.f32 n0_i #s(literal -3 binary32))) n0_i)
(* -1 (* n0_i (pow u 3)))
(neg.f32 (.f32 n0_i (.f32 u (*.f32 u u))))
(* (pow u 3) (+ (* -1 n0_i) (+ (* 2 (/ n0_i u)) (/ n0_i u))))
(.f32 (.f32 u u) (*.f32 u (fma.f32 #s(literal 3 binary32) (/.f32 n0_i u) (neg.f32 n0_i))))
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (/ n0_i u))))))
(.f32 u (.f32 (.f32 u u) (fma.f32 n0_i (/.f32 #s(literal -2 binary32) (.f32 u u)) (fma.f32 #s(literal 3 binary32) (/.f32 n0_i u) (neg.f32 (+.f32 n0_i (/.f32 n0_i (*.f32 u u))))))))
(* (pow u 3) (+ (* -2 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* -1 (/ n0_i (pow u 2))) (+ (* 2 (/ n0_i u)) (+ (/ n0_i u) (/ n0_i (pow u 3))))))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (/.f32 #s(literal -2 binary32) (.f32 u u)) (-.f32 (-.f32 (fma.f32 #s(literal 3 binary32) (/.f32 n0_i u) (/.f32 n0_i (.f32 u (.f32 u u)))) (/.f32 n0_i (*.f32 u u))) n0_i)))
(* -1 (* n0_i (pow u 3)))
(neg.f32 (.f32 n0_i (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (* 2 n0_i)) u)))))
(.f32 (-.f32 n0_i (/.f32 (.f32 #s(literal 3 binary32) n0_i) u)) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n0_i (* 2 n0_i)) u)) (* 2 n0_i))) u)))))
(.f32 (-.f32 n0_i (/.f32 (fma.f32 #s(literal 3 binary32) n0_i (/.f32 (.f32 #s(literal -3 binary32) n0_i) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ n0_i (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* 2 n0_i))) u)) (* 2 n0_i))) u)))))
(neg.f32 (.f32 (.f32 u (*.f32 u u)) (-.f32 n0_i (/.f32 (fma.f32 #s(literal 3 binary32) n0_i (/.f32 (fma.f32 #s(literal 3 binary32) n0_i (/.f32 n0_i (neg.f32 u))) (neg.f32 u))) u))))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* 1/120 n0_i)
(*.f32 n0_i #s(literal 1/120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))
(* -31/15120 n1_i)
(*.f32 n1_i #s(literal -31/15120 binary32))

eval227.0ms (1.6%)

Memory: 7.4MiB live, 564.2MiB allocated
Compiler: Compiled 76 123 to 6 205 computations (91.8% saved)

prune241.0ms (1.7%)

Memory

-23.4MiB live, 339.1MiB allocated

Pruning

28 alts after pruning (26 fresh and 2 done)

	Pruned	Kept	Total
New	1 591	14	1 605
Fresh	6	12	18
Picked	4	1	5
Done	0	1	1
Total	1 601	28	1 629

Accuracy

100.0%

Counts

1 629 → 28

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	99.1%	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i (.f32 u #s(literal -7/360 binary32)) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	98.7%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	98.7%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	52.0%	(fma.f32 (neg.f32 u) n0_i n0_i)
	98.8%	(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 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
	98.5%	(fma.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u)) (/.f32 (.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 (*.f32 normAngle normAngle) u))) n0_i))) u) n0_i)
	97.3%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	33.8%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
▶	98.5%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
▶	99.1%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
	99.0%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
	95.9%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.6%	(+.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	97.3%	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	81.5%	(+.f32 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))
▶	98.5%	(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (-.f32 n0_i (.f32 n0_i u))) (neg.f32 n1_i))) (neg.f32 n1_i))
	73.7%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
	41.8%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	51.6%	(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
▶	43.3%	(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
▶	42.4%	(*.f32 n1_i u)
	52.1%	(.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
✓	52.0%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
	43.3%	(neg.f32 (.f32 n1_i (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
	98.6%	(neg.f32 (.f32 n0_i (+.f32 (-.f32 u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))))
✓	40.4%	n0_i

Compiler

Compiled 1 378 to 763 computations (44.6% saved)

simplify447.0ms (3.1%)

Memory

11.9MiB live, 724.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	64	(neg.f32 (-.f32 n0_i (*.f32 n0_i u)))
✓	cost-diff	64	(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (-.f32 n0_i (.f32 n0_i u))) (neg.f32 n1_i))
✓	cost-diff	64	(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (-.f32 n0_i (.f32 n0_i u))) (neg.f32 n1_i))) (neg.f32 n1_i))
✓	cost-diff	256	(fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (*.f32 n0_i u))))
✓	cost-diff	0	(.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i)
✓	cost-diff	0	(neg.f32 u)
✓	cost-diff	0	(fma.f32 n0_i (neg.f32 u) n0_i)
✓	cost-diff	224	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
✓	cost-diff	0	(*.f32 normAngle u)
✓	cost-diff	0	(.f32 normAngle (.f32 normAngle u))
✓	cost-diff	0	(fma.f32 (.f32 normAngle (.f32 normAngle u)) #s(literal 1/6 binary32) u)
✓	cost-diff	0	(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
✓	cost-diff	0	(*.f32 n1_i u)
✓	cost-diff	64	(-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))
✓	cost-diff	64	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
✓	cost-diff	192	(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
✓	cost-diff	192	(fma.f32 n0_i #s(literal 1/105 binary32) (*.f32 n0_i #s(literal -1/135 binary32)))

Rules

16 080×	`accelerator-lowering-fma.f32`
16 080×	`accelerator-lowering-fma.f64`
4 422×	`-lowering-.f32`
4 422×	`-lowering-.f64`
4 078×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	563
1	219	561
2	763	550
3	3195	546
4	6597	546
0	8619	495

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))) (- n1_i n0_i)) u) n0_i)
(* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))) (- n1_i n0_i)) u)
(+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))) (- n1_i n0_i))
(* normAngle normAngle)
normAngle
(+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))
(+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))
n0_i
1/45
(+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360))
(- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))
(+ (* n0_i 1/105) (* n0_i -1/135))
1/105
(* n0_i -1/135)
-1/135
(+ (* n1_i 1/840) (* n1_i -7/2160))
n1_i
1/840
(* n1_i -7/2160)
-7/2160
(* n1_i 7/360)
7/360
(+ (* n0_i 1/3) (* n1_i 1/6))
1/3
(* n1_i 1/6)
1/6
(- n1_i n0_i)
u
(* n1_i u)
n1_i
u
(* n1_i (+ (* (* normAngle (* normAngle u)) 1/6) u))
n1_i
(+ (* (* normAngle (* normAngle u)) 1/6) u)
(* normAngle (* normAngle u))
normAngle
(* normAngle u)
u
1/6
(+ (+ (* n0_i (neg u)) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))
(+ (* n0_i (neg u)) n0_i)
n0_i
(neg u)
u
(* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i)
(+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u)
(* normAngle normAngle)
normAngle
(* u (+ (* (* u u) -1/6) 1/6))
(+ (* (* u u) -1/6) 1/6)
(* u u)
-1/6
1/6
n1_i
(* (+ (* u (+ (* (* normAngle normAngle) -1/6) -1)) (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))) (neg n1_i))
(+ (* u (+ (* (* normAngle normAngle) -1/6) -1)) (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i)))
u
(+ (* (* normAngle normAngle) -1/6) -1)
(* normAngle normAngle)
normAngle
-1/6
-1
(/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))
(+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u)))
(* (* normAngle normAngle) -1/6)
(+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))
n0_i
(* (- 1 u) (* (- 1 u) (- 1 u)))
(- 1 u)
1
(* (- 1 u) (- 1 u))
(neg (- n0_i (* n0_i u)))
(- n0_i (* n0_i u))
(* n0_i u)
(neg n1_i)
n1_i

Outputs
(+ (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))) (- n1_i n0_i)) u) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u n0_i)
(* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))) (- n1_i n0_i)) u)
(.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u)
(+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))) (- n1_i n0_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32))))
(+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))))
n0_i
1/45
#s(literal 1/45 binary32)
(+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360))
(fma.f32 normAngle (.f32 normAngle (fma.f32 n0_i #s(literal 2/945 binary32) (.f32 n1_i #s(literal 31/15120 binary32)))) (*.f32 n1_i #s(literal 7/360 binary32)))
(- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))
(fma.f32 n0_i #s(literal 2/945 binary32) (*.f32 n1_i #s(literal 31/15120 binary32)))
(+ (* n0_i 1/105) (* n0_i -1/135))
(*.f32 n0_i #s(literal 2/945 binary32))
1/105
#s(literal 1/105 binary32)
(* n0_i -1/135)
(*.f32 n0_i #s(literal -1/135 binary32))
-1/135
#s(literal -1/135 binary32)
(+ (* n1_i 1/840) (* n1_i -7/2160))
(*.f32 n1_i #s(literal -31/15120 binary32))
n1_i
1/840
#s(literal 1/840 binary32)
(* n1_i -7/2160)
(*.f32 n1_i #s(literal -7/2160 binary32))
-7/2160
#s(literal -7/2160 binary32)
(* n1_i 7/360)
(*.f32 n1_i #s(literal 7/360 binary32))
7/360
#s(literal 7/360 binary32)
(+ (* n0_i 1/3) (* n1_i 1/6))
(fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))
1/3
#s(literal 1/3 binary32)
(* n1_i 1/6)
(*.f32 n1_i #s(literal 1/6 binary32))
1/6
#s(literal 1/6 binary32)
(- n1_i n0_i)
(-.f32 n1_i n0_i)
u
(* n1_i u)
(*.f32 n1_i u)
n1_i
u
(* n1_i (+ (* (* normAngle (* normAngle u)) 1/6) u))
(.f32 n1_i (fma.f32 #s(literal 1/6 binary32) (.f32 normAngle (*.f32 normAngle u)) u))
n1_i
(+ (* (* normAngle (* normAngle u)) 1/6) u)
(fma.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle u)) u)
(* normAngle (* normAngle u))
(.f32 normAngle (.f32 normAngle u))
normAngle
(* normAngle u)
(*.f32 normAngle u)
u
1/6
#s(literal 1/6 binary32)
(+ (+ (* n0_i (neg u)) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))
(fma.f32 u (fma.f32 (.f32 (.f32 normAngle normAngle) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) n1_i (-.f32 n1_i n0_i)) n0_i)
(+ (* n0_i (neg u)) n0_i)
(fma.f32 n0_i (neg.f32 u) n0_i)
n0_i
(neg u)
(neg.f32 u)
u
(* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i)
(.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (.f32 n1_i u))
(+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u)
(fma.f32 normAngle (.f32 (.f32 normAngle u) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) u)
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
(* u (+ (* (* u u) -1/6) 1/6))
(.f32 u (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(+ (* (* u u) -1/6) 1/6)
(fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(* u u)
(*.f32 u u)
-1/6
#s(literal -1/6 binary32)
1/6
#s(literal 1/6 binary32)
n1_i
(* (+ (* u (+ (* (* normAngle normAngle) -1/6) -1)) (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))) (neg n1_i))
(.f32 n1_i (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32) #s(literal 1 binary32)) u (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i)) n1_i)))
(+ (* u (+ (* (* normAngle normAngle) -1/6) -1)) (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i)))
(fma.f32 u (fma.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 n0_i u (neg.f32 n0_i))) n1_i))
u
(+ (* (* normAngle normAngle) -1/6) -1)
(fma.f32 normAngle (*.f32 normAngle #s(literal -1/6 binary32)) #s(literal -1 binary32))
(* normAngle normAngle)
(*.f32 normAngle normAngle)
normAngle
-1/6
#s(literal -1/6 binary32)
-1
#s(literal -1 binary32)
(/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))
(/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))) (fma.f32 n0_i u (neg.f32 n0_i))) n1_i)
(+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u)))
(fma.f32 (.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (fma.f32 n0_i (neg.f32 u) n0_i))) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i))
(* (* normAngle normAngle) -1/6)
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))
(.f32 (-.f32 #s(literal 1 binary32) u) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))))
n0_i
(* (- 1 u) (* (- 1 u) (- 1 u)))
(.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
1
#s(literal 1 binary32)
(* (- 1 u) (- 1 u))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(neg (- n0_i (* n0_i u)))
(fma.f32 n0_i u (neg.f32 n0_i))
(- n0_i (* n0_i u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(* n0_i u)
(*.f32 n0_i u)
(neg n1_i)
(neg.f32 n1_i)
n1_i

localize233.0ms (1.6%)

Memory

21.7MiB live, 540.6MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.3%	(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
✓	accuracy	99.2%	(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (-.f32 n0_i (.f32 n0_i u))) (neg.f32 n1_i))
✓	accuracy	98.7%	(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
✓	accuracy	65.0%	(fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (*.f32 n0_i u))))
✓	accuracy	99.9%	(.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)
✓	accuracy	99.7%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
✓	accuracy	99.5%	(fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))
✓	accuracy	99.1%	(.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32)))
✓	accuracy	100.0%	(*.f32 normAngle u)
✓	accuracy	100.0%	(fma.f32 (.f32 normAngle (.f32 normAngle u)) #s(literal 1/6 binary32) u)
✓	accuracy	99.9%	(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
✓	accuracy	99.7%	(.f32 normAngle (.f32 normAngle u))
✓	accuracy	100.0%	(*.f32 n1_i u)
✓	accuracy	98.8%	(*.f32 n1_i #s(literal 7/360 binary32))
✓	accuracy	98.7%	(*.f32 n1_i #s(literal -7/2160 binary32))
✓	accuracy	98.6%	(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
✓	accuracy	95.6%	(fma.f32 n0_i #s(literal 1/105 binary32) (*.f32 n0_i #s(literal -1/135 binary32)))

Samples

125.0ms	254×	0	valid
2.0ms	1×	5	exit
1.0ms	1×	1	valid

Compiler

Compiled 607 to 74 computations (87.8% saved)

Precisions

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

ival-mult: 46.0ms (44.6% of total)

const: 29.0ms (28.1% of total)

ival-add: 18.0ms (17.4% of total)

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

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

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

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series81.0ms (0.6%)

Memory

-22.6MiB live, 130.7MiB allocated

Counts

23 → 564

Calls

Call 1

Inputs
#<alt (+ (* n0_i 1/105) (* n0_i -1/135))>
#<alt (+ (* n1_i 1/840) (* n1_i -7/2160))>
#<alt (+ (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))) (- n1_i n0_i)) u) n0_i)>
#<alt (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ (* (* normAngle (* normAngle u)) 1/6) u))>
#<alt (+ (* (* normAngle (* normAngle u)) 1/6) u)>
#<alt (* normAngle (* normAngle u))>
#<alt (* normAngle u)>
#<alt (+ (+ (* n0_i (neg u)) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))>
#<alt (+ (* n0_i (neg u)) n0_i)>
#<alt (neg u)>
#<alt (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i)>
#<alt (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))>
#<alt (* (+ (* u (+ (* (* normAngle normAngle) -1/6) -1)) (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))) (neg n1_i))>
#<alt (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))>
#<alt (neg (- n0_i (* n0_i u)))>
#<alt (* n1_i -7/2160)>
#<alt (* n1_i 7/360)>
#<alt (* u (+ (* (* u u) -1/6) 1/6))>
#<alt (+ (* (* u u) -1/6) 1/6)>
#<alt (* (- 1 u) (- 1 u))>
#<alt (* (* normAngle normAngle) -1/6)>

Outputs
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* 2/945 n0_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (* -31/15120 n1_i)>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))>
#<alt (+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (* (pow normAngle 2) (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))>
#<alt (* (pow normAngle 6) (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))>
#<alt (* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))>
#<alt (* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))>
#<alt (* (pow normAngle 6) (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))>
#<alt (* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))>
#<alt (* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))>
#<alt (* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))>
#<alt (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))>
#<alt (+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))>
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#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))>
#<alt (* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))>
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#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))>
#<alt (* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))>
#<alt (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))))>
#<alt (+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))))>
#<alt (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)) n1_i))))>
#<alt (* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)) n1_i))))>
#<alt (* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))>
#<alt n0_i>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))>
#<alt (+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))>
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) (/ n0_i u))) n0_i))>
#<alt (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i))>
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u)))))>
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#<alt (* -1 (* n1_i (- (* -1 (/ (+ (* -1/135 n0_i) (* 1/105 n0_i)) n1_i)) 31/15120)))>
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#<alt (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))>
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#<alt (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))>
#<alt (* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))>
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#<alt u>
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#<alt (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))>
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#<alt n0_i>
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#<alt (* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -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 (/ n0_i (pow u 2))) (+ (* -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))))>
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#<alt (* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 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))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
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#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))>
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#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))>
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#<alt (* -1 (* n0_i (pow u 3)))>
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#<alt (* -1 (* n0_i (pow u 3)))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u)))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -1 (/ (+ (* -1 n0_i) (* 3 n0_i)) u)) (* 3 n0_i)) u)))))>
#<alt (* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -1 (/ (+ (* -1 n0_i) (* 3 n0_i)) u)) (* 3 n0_i)) u)))))>
#<alt n0_i>
#<alt (+ n0_i (* -1 (* n1_i (* u (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1)))))>
#<alt (+ n0_i (* u (+ (* -1 (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))>
#<alt (+ n0_i (* u (+ (* -1 (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (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))))>
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#<alt (* (pow u 3) (+ (* -1 (/ (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1)) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* (pow u 3) (+ (* -1 (/ (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1)) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 3))))))>
#<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 (/ (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) n1_i)) (* -1 (/ n0_i n1_i)))) (* -1 (- (* -1/6 (pow normAngle 2)) 1)))) u)) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n1_i (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) n1_i)) (* -1 (/ n0_i n1_i)))) (* -1 (- (* -1/6 (pow normAngle 2)) 1))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i)))))>
#<alt (+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i)))))) (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))))>
#<alt (+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i)))))) (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))))>
#<alt (+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i)))))) (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))))>
#<alt (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))>
#<alt (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))))>
#<alt (* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))>
#<alt (* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))>
#<alt (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))>
#<alt (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)))>
#<alt (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)))>
#<alt (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)))>
#<alt (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))>
#<alt (* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))) u))>
#<alt (* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))) u))>
#<alt (* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))) u))>
#<alt (* -1 (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))))>
#<alt (* -1 (* n0_i (- (+ (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (+ 1 (* -1 u)))))>
#<alt (* -1 (* n0_i (- (+ (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (+ 1 (* -1 u)))))>
#<alt (* -1 (* n0_i (- (+ (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (+ 1 (* -1 u)))))>
#<alt (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u))>
#<alt (- (+ n0_i (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i))))) (* n0_i u))>
#<alt (- (+ n0_i (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i))))) (* n0_i u))>
#<alt (- (+ n0_i (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i))))) (* n0_i u))>
#<alt (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))>
#<alt (* n1_i (- (+ (* -1 (* u (- (* -1/6 (pow normAngle 2)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)) (/ n0_i n1_i))) (/ (* n0_i u) n1_i)))>
#<alt (* n1_i (- (+ (* -1 (* u (- (* -1/6 (pow normAngle 2)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)) (/ n0_i n1_i))) (/ (* n0_i u) n1_i)))>
#<alt (* n1_i (- (+ (* -1 (* u (- (* -1/6 (pow normAngle 2)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)) (/ n0_i n1_i))) (/ (* n0_i u) n1_i)))>
#<alt (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))>
#<alt (* -1 (/ (- n0_i (* n0_i u)) n1_i))>
#<alt (+ (* -1 (/ (- n0_i (* n0_i u)) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)))>
#<alt (+ (* -1 (/ (- n0_i (* n0_i u)) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)))>
#<alt (+ (* -1 (/ (- n0_i (* n0_i u)) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)))>
#<alt (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))>
#<alt (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))>
#<alt (* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))>
#<alt (* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))>
#<alt (* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))>
#<alt (* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))>
#<alt (* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))>
#<alt (* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))>
#<alt (* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))>
#<alt (* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))>
#<alt (* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))>
#<alt (/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)>
#<alt (/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)>
#<alt (/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)>
#<alt (/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)>
#<alt (* -1 (/ n0_i n1_i))>
#<alt (+ (* -1 (* u (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i)))) (* -1 (/ n0_i n1_i)))>
#<alt (+ (* -1 (/ n0_i n1_i)) (* u (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))>
#<alt (+ (* -1 (/ n0_i n1_i)) (* u (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* u (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i)))))))>
#<alt (* -1/6 (/ (* n0_i (* (pow normAngle 2) (pow u 3))) n1_i))>
#<alt (* (pow u 3) (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u)))))>
#<alt (* (pow u 3) (+ (* -1 (/ (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i)) (pow u 2))) (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))))))>
#<alt (* (pow u 3) (+ (* -1 (/ n0_i (* n1_i (pow u 3)))) (+ (* -1 (/ (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i)) (pow u 2))) (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u)))))))>
#<alt (* -1/6 (/ (* n0_i (* (pow normAngle 2) (pow u 3))) n1_i))>
#<alt (* -1 (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (* 1/6 (/ (* n0_i (pow normAngle 2)) n1_i)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) (* n1_i u))) (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) (* -1 (/ n0_i (* n1_i u)))) u)) (* 1/6 (/ (* n0_i (pow normAngle 2)) n1_i)))))>
#<alt (* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) n1_i)) (* -1 (/ n0_i n1_i)))) (/ n0_i (* n1_i u))) u)) (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) u)) (* 1/6 (/ (* n0_i (pow normAngle 2)) n1_i)))))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))>
#<alt (* n0_i (- u 1))>
#<alt (* n0_i (- u 1))>
#<alt (* n0_i (- u 1))>
#<alt (* n0_i (- u 1))>
#<alt (* n0_i (- u 1))>
#<alt (* n0_i (- u 1))>
#<alt (* n0_i (- u 1))>
#<alt (* n0_i (- u 1))>
#<alt (* -1 (* n0_i (+ 1 (* -1 u))))>
#<alt (* -1 (* n0_i (+ 1 (* -1 u))))>
#<alt (* -1 (* n0_i (+ 1 (* -1 u))))>
#<alt (* -1 (* n0_i (+ 1 (* -1 u))))>
#<alt (* -1 n0_i)>
#<alt (- (* n0_i u) n0_i)>
#<alt (- (* n0_i u) n0_i)>
#<alt (- (* n0_i u) n0_i)>
#<alt (* n0_i u)>
#<alt (* u (+ n0_i (* -1 (/ n0_i u))))>
#<alt (* u (+ n0_i (* -1 (/ n0_i u))))>
#<alt (* u (+ n0_i (* -1 (/ n0_i u))))>
#<alt (* n0_i u)>
#<alt (* -1 (* u (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* -7/2160 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 7/360 n1_i)>
#<alt (* 1/6 u)>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* u (+ 1/6 (* -1/6 (pow u 2))))>
#<alt (* -1/6 (pow u 3))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt (* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (+ 1/6 (* -1/6 (pow u 2)))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* -1/6 (pow u 2))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt (* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))>
#<alt 1>
#<alt (+ 1 (* -2 u))>
#<alt (+ 1 (* u (- u 2)))>
#<alt (+ 1 (* u (- u 2)))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))>
#<alt (* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>

Calls

141 calls:

Time	Variable		Point	Expression
4.0ms	n0_i	@	inf	(* (+ (* u (+ (* (* normAngle normAngle) -1/6) -1)) (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))) (neg n1_i))
2.0ms	normAngle	@	-inf	(+ (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))) (- n1_i n0_i)) u) n0_i)
2.0ms	u	@	0	(* n1_i (+ (* (* normAngle (* normAngle u)) 1/6) u))
2.0ms	normAngle	@	0	(* (+ (* u (+ (* (* normAngle normAngle) -1/6) -1)) (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))) (neg n1_i))
2.0ms	n1_i	@	0	(* (+ (* u (+ (* (* normAngle normAngle) -1/6) -1)) (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))) (neg n1_i))

rewrite418.0ms (2.9%)

Memory

28.1MiB live, 628.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 622×	`accelerator-lowering-fma.f32`
6 622×	`accelerator-lowering-fma.f64`
5 618×	`-lowering-.f32`
5 618×	`-lowering-.f64`
2 500×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	72	254
1	478	253
2	4865	253
0	8133	233

Stop Event

1×	iter limit
1×	node limit

Counts

23 → 439

Calls

Call 1

Inputs
(+ (* n0_i 1/105) (* n0_i -1/135))
(+ (* n1_i 1/840) (* n1_i -7/2160))
(+ (* (+ (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ (* n0_i 1/45) (+ (* (* normAngle normAngle) (- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))) (* n1_i 7/360)))) (+ (* n0_i 1/3) (* n1_i 1/6)))) (- n1_i n0_i)) u) n0_i)
(- (+ (* n0_i 1/105) (* n0_i -1/135)) (+ (* n1_i 1/840) (* n1_i -7/2160)))
(* n1_i u)
(* n1_i (+ (* (* normAngle (* normAngle u)) 1/6) u))
(+ (* (* normAngle (* normAngle u)) 1/6) u)
(* normAngle (* normAngle u))
(* normAngle u)
(+ (+ (* n0_i (neg u)) n0_i) (* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i))
(+ (* n0_i (neg u)) n0_i)
(neg u)
(* (+ (* (* normAngle normAngle) (* u (+ (* (* u u) -1/6) 1/6))) u) n1_i)
(+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))
(* (+ (* u (+ (* (* normAngle normAngle) -1/6) -1)) (/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))) (neg n1_i))
(/ (+ (* (* (* normAngle normAngle) -1/6) (+ (* n0_i (* (- 1 u) (* (- 1 u) (- 1 u)))) (neg (- n0_i (* n0_i u))))) (- n0_i (* n0_i u))) (neg n1_i))
(neg (- n0_i (* n0_i u)))
(* n1_i -7/2160)
(* n1_i 7/360)
(* u (+ (* (* u u) -1/6) 1/6))
(+ (* (* u u) -1/6) 1/6)
(* (- 1 u) (- 1 u))
(* (* normAngle normAngle) -1/6)

Outputs
(+.f32 (.f32 n0_i #s(literal 1/105 binary32)) (.f32 n0_i #s(literal -1/135 binary32)))
(+.f32 (.f32 n0_i #s(literal -1/135 binary32)) (.f32 n0_i #s(literal 1/105 binary32)))
(pow.f32 (/.f32 (fma.f32 (.f32 n0_i #s(literal -1/135 binary32)) (-.f32 (.f32 n0_i #s(literal -1/135 binary32)) (.f32 n0_i #s(literal 1/105 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 1/11025 binary32))) (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -1/2460375 binary32) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/1157625 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 n0_i #s(literal 16/945 binary32)) (.f32 (.f32 n0_i #s(literal 2/945 binary32)) (.f32 n0_i #s(literal 16/945 binary32)))) #s(literal -1 binary32))
(fma.f32 n0_i #s(literal 1/105 binary32) (*.f32 n0_i #s(literal -1/135 binary32)))
(fma.f32 n0_i #s(literal -1/135 binary32) (*.f32 n0_i #s(literal 1/105 binary32)))
(fma.f32 #s(literal 1/105 binary32) n0_i (*.f32 n0_i #s(literal -1/135 binary32)))
(fma.f32 #s(literal -1/135 binary32) n0_i (*.f32 n0_i #s(literal 1/105 binary32)))
(-.f32 (/.f32 (.f32 (.f32 n0_i n0_i) #s(literal 1/11025 binary32)) (.f32 n0_i #s(literal 16/945 binary32))) (/.f32 (.f32 (.f32 n0_i n0_i) #s(literal 1/18225 binary32)) (.f32 n0_i #s(literal 16/945 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 n0_i #s(literal -1/135 binary32)) (-.f32 (.f32 n0_i #s(literal -1/135 binary32)) (.f32 n0_i #s(literal 1/105 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 1/11025 binary32))) (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -1/2460375 binary32) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/1157625 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 n0_i #s(literal 16/945 binary32)) (.f32 (.f32 n0_i #s(literal 2/945 binary32)) (.f32 n0_i #s(literal 16/945 binary32)))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -1/2460375 binary32) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/1157625 binary32))) (fma.f32 (.f32 n0_i #s(literal -1/135 binary32)) (-.f32 (.f32 n0_i #s(literal -1/135 binary32)) (.f32 n0_i #s(literal 1/105 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 1/11025 binary32))))
(/.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -1/2460375 binary32) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/1157625 binary32))) (fma.f32 (.f32 n0_i n0_i) #s(literal 1/18225 binary32) (-.f32 (.f32 (.f32 n0_i n0_i) #s(literal 1/11025 binary32)) (.f32 n0_i (.f32 #s(literal 1/105 binary32) (*.f32 n0_i #s(literal -1/135 binary32)))))))
(/.f32 (.f32 (.f32 n0_i #s(literal 2/945 binary32)) (.f32 n0_i #s(literal 16/945 binary32))) (.f32 n0_i #s(literal 16/945 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -1/2460375 binary32) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/1157625 binary32)))) (neg.f32 (fma.f32 (.f32 n0_i #s(literal -1/135 binary32)) (-.f32 (.f32 n0_i #s(literal -1/135 binary32)) (.f32 n0_i #s(literal 1/105 binary32))) (.f32 (.f32 n0_i n0_i) #s(literal 1/11025 binary32)))))
(/.f32 (neg.f32 (.f32 (.f32 n0_i #s(literal 2/945 binary32)) (.f32 n0_i #s(literal 16/945 binary32)))) (neg.f32 (.f32 n0_i #s(literal 16/945 binary32))))
(/.f32 (-.f32 (.f32 (.f32 n0_i n0_i) #s(literal 1/18225 binary32)) (.f32 (.f32 n0_i n0_i) #s(literal 1/11025 binary32))) (-.f32 (.f32 n0_i #s(literal -1/135 binary32)) (.f32 n0_i #s(literal 1/105 binary32))))
(*.f32 n0_i #s(literal 2/945 binary32))
(.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal -1/2460375 binary32) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) #s(literal 1/1157625 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 n0_i #s(literal -1/135 binary32)) (-.f32 (.f32 n0_i #s(literal -1/135 binary32)) (.f32 n0_i #s(literal 1/105 binary32))) (.f32 (*.f32 n0_i n0_i) #s(literal 1/11025 binary32)))))
(.f32 (.f32 (.f32 n0_i #s(literal 2/945 binary32)) (.f32 n0_i #s(literal 16/945 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 n0_i #s(literal 16/945 binary32))))
(*.f32 #s(literal 2/945 binary32) n0_i)
(+.f32 (.f32 n1_i #s(literal 1/840 binary32)) (.f32 n1_i #s(literal -7/2160 binary32)))
(+.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32)))
(pow.f32 (/.f32 (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))) (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (.f32 n1_i #s(literal 67/15120 binary32)) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32)))) #s(literal -1 binary32))
(fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))
(fma.f32 n1_i #s(literal -7/2160 binary32) (*.f32 n1_i #s(literal 1/840 binary32)))
(fma.f32 #s(literal 1/840 binary32) n1_i (*.f32 n1_i #s(literal -7/2160 binary32)))
(fma.f32 #s(literal -7/2160 binary32) n1_i (*.f32 n1_i #s(literal 1/840 binary32)))
(-.f32 (/.f32 (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))) (/.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/4665600 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))) (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 n1_i #s(literal 67/15120 binary32)) (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32)))))
(/.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32))) (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))))
(/.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32))) (fma.f32 (.f32 n1_i n1_i) #s(literal 49/4665600 binary32) (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32)) (.f32 (.f32 (*.f32 n1_i #s(literal 1/840 binary32)) n1_i) #s(literal -7/2160 binary32)))))
(/.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))) (.f32 n1_i #s(literal 67/15120 binary32)))
(/.f32 (neg.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32)))) (neg.f32 (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32)))))
(/.f32 (neg.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32)))) (neg.f32 (.f32 n1_i #s(literal 67/15120 binary32))))
(/.f32 (-.f32 (.f32 (.f32 n1_i n1_i) #s(literal 49/4665600 binary32)) (.f32 (.f32 n1_i n1_i) #s(literal 1/705600 binary32))) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))))
(*.f32 n1_i #s(literal -31/15120 binary32))
(.f32 (fma.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal 1/592704000 binary32) (.f32 (.f32 n1_i (.f32 n1_i n1_i)) #s(literal -343/10077696000 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (-.f32 (.f32 n1_i #s(literal -7/2160 binary32)) (.f32 n1_i #s(literal 1/840 binary32))) (.f32 (*.f32 n1_i n1_i) #s(literal 1/705600 binary32)))))
(.f32 (.f32 (.f32 n1_i #s(literal -31/15120 binary32)) (.f32 n1_i #s(literal 67/15120 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 n1_i #s(literal 67/15120 binary32))))
(*.f32 #s(literal -31/15120 binary32) n1_i)
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(pow.f32 (/.f32 (fma.f32 n0_i (-.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u)) (.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u))) (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u) #s(literal 3 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u (neg.f32 n0_i)) (.f32 (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u n0_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u (neg.f32 n0_i)))) #s(literal -1 binary32))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) u n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 1/6 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 31/15120 binary32) (.f32 n0_i #s(literal 2/945 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 n0_i #s(literal 1/3 binary32)))) (-.f32 n1_i n0_i)) n0_i)
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(/.f32 (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 u (.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 (-.f32 #s(literal 1/36 binary32) (.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)))) (-.f32 #s(literal 1/6 binary32) (.f32 (.f32 u u) #s(literal -1/6 binary32))))
(.f32 (fma.f32 (.f32 u (.f32 u u)) (.f32 (.f32 u (.f32 u u)) #s(literal -1/216 binary32)) #s(literal 1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) (-.f32 #s(literal 1/36 binary32) (.f32 (*.f32 u u) #s(literal -1/36 binary32))))))
(.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 (.f32 u u) (.f32 u u)) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (*.f32 u #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(exp.f32 (*.f32 (log1p.f32 (neg.f32 u)) #s(literal 2 binary32)))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 u)))
(+.f32 (.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)) (.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) u)))
(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 2 binary32))
(pow.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) #s(literal 2 binary32))
(fma.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u) (*.f32 (neg.f32 u) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32) (*.f32 (-.f32 #s(literal 1 binary32) u) (neg.f32 u)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (.f32 u u))) (-.f32 #s(literal 1 binary32) (.f32 u (.f32 u u)))) (.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (.f32 u u))) (-.f32 #s(literal 1 binary32) (.f32 u u))) (*.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (-.f32 #s(literal 1 binary32) (.f32 u (.f32 u u)))) (*.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (-.f32 #s(literal 1 binary32) (.f32 u u))) (.f32 (+.f32 u #s(literal 1 binary32)) (+.f32 u #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u)))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal 1 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u (.f32 u u))) (-.f32 #s(literal 1 binary32) (.f32 u (.f32 u u)))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) #s(literal 2 binary32)))
(.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (-.f32 #s(literal 1 binary32) (.f32 u u))) (pow.f32 (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) #s(literal 2 binary32)))
(*.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32)))
(.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle))
(.f32 (.f32 normAngle #s(literal -1/6 binary32)) normAngle)

simplify491.0ms (3.4%)

Memory

1.5MiB live, 742.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 872×	`accelerator-lowering-fma.f32`
12 872×	`accelerator-lowering-fma.f64`
7 746×	`-lowering-.f32`
7 746×	`-lowering-.f64`
4 448×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	614	9090
1	2141	8860
2	7878	8860
0	8038	8242

Stop Event

1×	iter limit
1×	node limit

Counts

564 → 564

Calls

Call 1

Inputs
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_i)
(* 2/945 n0_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)
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (* (pow normAngle 2) (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))
(* (pow normAngle 6) (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(* (pow normAngle 6) (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(* -1 (* n0_i (- (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3)))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))
(+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)) n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)) n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) (/ n0_i u))) n0_i))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u)))))
(* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(* 2/945 n0_i)
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(* 2/945 n0_i)
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(+ (* -1/135 n0_i) (* 1/105 n0_i))
(+ (* -1/135 n0_i) (+ (* 31/15120 n1_i) (* 1/105 n0_i)))
(+ (* -1/135 n0_i) (+ (* 31/15120 n1_i) (* 1/105 n0_i)))
(+ (* -1/135 n0_i) (+ (* 31/15120 n1_i) (* 1/105 n0_i)))
(* 31/15120 n1_i)
(* n1_i (+ 31/15120 (+ (* -1/135 (/ n0_i n1_i)) (* 1/105 (/ n0_i n1_i)))))
(* n1_i (+ 31/15120 (+ (* -1/135 (/ n0_i n1_i)) (* 1/105 (/ n0_i n1_i)))))
(* n1_i (+ 31/15120 (+ (* -1/135 (/ n0_i n1_i)) (* 1/105 (/ n0_i n1_i)))))
(* 31/15120 n1_i)
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/135 n0_i) (* 1/105 n0_i)) n1_i)) 31/15120)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/135 n0_i) (* 1/105 n0_i)) n1_i)) 31/15120)))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/135 n0_i) (* 1/105 n0_i)) n1_i)) 31/15120)))
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i (+ u (* 1/6 (* (pow normAngle 2) u))))
(* n1_i u)
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(* 1/6 (* n1_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (/ (* n1_i u) (pow normAngle 2))))
(* 1/6 (* n1_i (* (pow normAngle 2) u)))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/6 (* n1_i u)) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(+ u (* 1/6 (* (pow normAngle 2) u)))
(+ u (* 1/6 (* (pow normAngle 2) u)))
(* 1/6 (* (pow normAngle 2) u))
(* (pow normAngle 2) (+ (* 1/6 u) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/6 u) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/6 u) (/ u (pow normAngle 2))))
(* 1/6 (* (pow normAngle 2) u))
(* (pow normAngle 2) (+ (* 1/6 u) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/6 u) (/ u (pow normAngle 2))))
(* (pow normAngle 2) (+ (* 1/6 u) (/ u (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* u (+ 1 (* 1/6 (pow normAngle 2))))
(* -1 (* u (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* u (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* u (- (* -1/6 (pow normAngle 2)) 1)))
(* -1 (* u (- (* -1/6 (pow normAngle 2)) 1)))
(* (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)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* normAngle u)
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))
(+ (* n0_i (+ 1 (* -1 u))) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))
(* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) 1)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) 1)))
(* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) n0_i))) 1)))
n0_i
(+ n0_i (* u (+ (* -1 n0_i) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -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 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -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 (/ n0_i (pow u 2))) (+ (* -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))) (+ (/ n0_i (pow u 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))) (+ (/ n0_i (pow u 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))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(* (pow normAngle 2) (+ (* -1 (/ (* n0_i u) (pow normAngle 2))) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (+ (/ n0_i (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))))
(+ n0_i (+ (* -1 (* n0_i u)) (* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i)))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i)))))
(* n1_i (+ u (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ n0_i n1_i)))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- u 1)))
(* -1 (* n0_i (- u 1)))
n0_i
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(+ n0_i (* -1 (* n0_i u)))
(* -1 (* n0_i u))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* u (+ (* -1 n0_i) (/ n0_i u)))
(* -1 (* n0_i u))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 (* u (+ n0_i (* -1 (/ n0_i u)))))
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* -1 u)
(* n1_i u)
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(+ (* n1_i u) (* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2))))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* (pow normAngle 2) (+ (* n1_i (* u (+ 1/6 (* -1/6 (pow u 2))))) (/ (* n1_i u) (pow normAngle 2))))
(* n1_i (* u (+ 1 (* 1/6 (pow normAngle 2)))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 2)))) (* n1_i (+ 1 (* 1/6 (pow normAngle 2))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* (pow u 3) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2))))
(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* -1 (* n0_i (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3))))))
(* -1 (* n0_i (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3))))))
(* -1 (* n0_i (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3))))))
(* -1 (* n0_i (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3))))))
(* u (+ n0_i (* -3 n0_i)))
(* u (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))))
(* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(* -1 (* n0_i (pow u 3)))
(* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u))))
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))))
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))))
(* -1 (* n0_i (pow u 3)))
(* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -1 (/ (+ (* -1 n0_i) (* 3 n0_i)) u)) (* 3 n0_i)) u)))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -1 (/ (+ (* -1 n0_i) (* 3 n0_i)) u)) (* 3 n0_i)) u)))))
n0_i
(+ n0_i (* -1 (* n1_i (* u (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1)))))
(+ n0_i (* u (+ (* -1 (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(+ n0_i (* u (+ (* -1 (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (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 (/ (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1)) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* 1/6 (* n0_i (pow normAngle 2))))))
(* (pow u 3) (+ (* -1 (/ (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1)) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 3))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) n1_i)) (* -1 (/ n0_i n1_i)))) (* -1 (- (* -1/6 (pow normAngle 2)) 1)))) u)) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n1_i (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) n1_i)) (* -1 (/ n0_i n1_i)))) (* -1 (- (* -1/6 (pow normAngle 2)) 1))))) (* -1 (/ n0_i u))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* n0_i (pow normAngle 2))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i)))))
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i)))))) (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))))
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i)))))) (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))))
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i)))))) (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))))
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)))
(+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)))
(+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))) u))
(* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))) u))
(* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))) u))
(* -1 (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))))
(* -1 (* n0_i (- (+ (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (+ 1 (* -1 u)))))
(* -1 (* n0_i (- (+ (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (+ 1 (* -1 u)))))
(* -1 (* n0_i (- (+ (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (+ 1 (* -1 u)))))
(- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u))
(- (+ n0_i (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i))))) (* n0_i u))
(- (+ n0_i (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i))))) (* n0_i u))
(- (+ n0_i (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i))))) (* n0_i u))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(* n1_i (- (+ (* -1 (* u (- (* -1/6 (pow normAngle 2)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)) (/ n0_i n1_i))) (/ (* n0_i u) n1_i)))
(* n1_i (- (+ (* -1 (* u (- (* -1/6 (pow normAngle 2)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)) (/ n0_i n1_i))) (/ (* n0_i u) n1_i)))
(* n1_i (- (+ (* -1 (* u (- (* -1/6 (pow normAngle 2)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)) (/ n0_i n1_i))) (/ (* n0_i u) n1_i)))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(* -1 (* n1_i (+ (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))
(* -1 (* n1_i (+ (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))
(* -1 (/ (- n0_i (* n0_i u)) n1_i))
(+ (* -1 (/ (- n0_i (* n0_i u)) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)))
(+ (* -1 (/ (- n0_i (* n0_i u)) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)))
(+ (* -1 (/ (- n0_i (* n0_i u)) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)))
(* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)
(/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)
(/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)
(/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)
(* -1 (/ n0_i n1_i))
(+ (* -1 (* u (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i)))) (* -1 (/ n0_i n1_i)))
(+ (* -1 (/ n0_i n1_i)) (* u (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))
(+ (* -1 (/ n0_i n1_i)) (* u (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* u (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i)))))))
(* -1/6 (/ (* n0_i (* (pow normAngle 2) (pow u 3))) n1_i))
(* (pow u 3) (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u)))))
(* (pow u 3) (+ (* -1 (/ (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i)) (pow u 2))) (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))))))
(* (pow u 3) (+ (* -1 (/ n0_i (* n1_i (pow u 3)))) (+ (* -1 (/ (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i)) (pow u 2))) (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u)))))))
(* -1/6 (/ (* n0_i (* (pow normAngle 2) (pow u 3))) n1_i))
(* -1 (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (* 1/6 (/ (* n0_i (pow normAngle 2)) n1_i)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) (* n1_i u))) (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) (* -1 (/ n0_i (* n1_i u)))) u)) (* 1/6 (/ (* n0_i (pow normAngle 2)) n1_i)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) n1_i)) (* -1 (/ n0_i n1_i)))) (/ n0_i (* n1_i u))) u)) (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) u)) (* 1/6 (/ (* n0_i (pow normAngle 2)) n1_i)))))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(* n0_i (- u 1))
(* n0_i (- u 1))
(* n0_i (- u 1))
(* n0_i (- u 1))
(* n0_i (- u 1))
(* n0_i (- u 1))
(* n0_i (- u 1))
(* n0_i (- u 1))
(* -1 (* n0_i (+ 1 (* -1 u))))
(* -1 (* n0_i (+ 1 (* -1 u))))
(* -1 (* n0_i (+ 1 (* -1 u))))
(* -1 (* n0_i (+ 1 (* -1 u))))
(* -1 n0_i)
(- (* n0_i u) n0_i)
(- (* n0_i u) n0_i)
(- (* n0_i u) n0_i)
(* n0_i u)
(* u (+ n0_i (* -1 (/ n0_i u))))
(* u (+ n0_i (* -1 (/ n0_i u))))
(* u (+ n0_i (* -1 (/ n0_i u))))
(* n0_i u)
(* -1 (* u (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* u (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* u (+ (* -1 n0_i) (/ n0_i u))))
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* -7/2160 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 7/360 n1_i)
(* 1/6 u)
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(* -1/6 (pow u 3))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 3))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
1/6
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(+ 1/6 (* -1/6 (pow u 2)))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* -1/6 (pow u 2))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
1
(+ 1 (* -2 u))
(+ 1 (* u (- u 2)))
(+ 1 (* u (- u 2)))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))

Outputs
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(* -31/15120 n1_i)
(*.f32 #s(literal -31/15120 binary32) n1_i)
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))))))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))))) (fma.f32 u (-.f32 n1_i n0_i) n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (+ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (* (pow normAngle 2) (+ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (* (pow normAngle 2) (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))))
(fma.f32 u (-.f32 n1_i n0_i) (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (.f32 u (.f32 normAngle normAngle)) (.f32 u (fma.f32 n0_i #s(literal 1/45 binary32) (*.f32 n1_i #s(literal 7/360 binary32))))))) n0_i))
(* (pow normAngle 6) (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(.f32 (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (*.f32 u (pow.f32 normAngle #s(literal 6 binary32))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (.f32 u (+.f32 (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 normAngle normAngle)) (/.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 4 binary32)))) (.f32 u (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 6 binary32)))) (fma.f32 u (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle)) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))))
(* (pow normAngle 6) (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))
(.f32 (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (*.f32 u (pow.f32 normAngle #s(literal 6 binary32))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (.f32 u (+.f32 (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle)))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 normAngle normAngle)) (/.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 4 binary32)))) (.f32 u (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))))))
(* (pow normAngle 6) (+ (* u (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (+ (/ n0_i (pow normAngle 6)) (+ (/ (* u (+ (* 7/360 n1_i) (* 1/45 n0_i))) (pow normAngle 2)) (+ (/ (* u (+ (* 1/6 n1_i) (* 1/3 n0_i))) (pow normAngle 4)) (/ (* u (- n1_i n0_i)) (pow normAngle 6)))))))
(.f32 (pow.f32 normAngle #s(literal 6 binary32)) (fma.f32 u (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 u (+.f32 (/.f32 (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32))) (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (-.f32 n1_i n0_i) (pow.f32 normAngle #s(literal 6 binary32)))) (fma.f32 u (/.f32 (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32))) (*.f32 normAngle normAngle)) (/.f32 n0_i (pow.f32 normAngle #s(literal 6 binary32)))))))
(* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i)))))))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32))) n1_i))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i))
(+ (* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)))) (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i))
(* n0_i (+ 1 (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1))))
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* n0_i (+ 1 (+ (* u (- (* (pow normAngle 2) (+ 1/3 (* (pow normAngle 2) (+ 1/45 (* 2/945 (pow normAngle 2)))))) 1)) (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i))))
(fma.f32 n0_i (.f32 u (+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i))) n0_i)
(* -1 (* n0_i (- (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3)))) 1)))
(neg.f32 (.f32 n0_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -2/945 binary32) #s(literal -1/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) #s(literal -1 binary32))))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))
(neg.f32 (.f32 n0_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -2/945 binary32) #s(literal -1/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) #s(literal -1 binary32)))))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))
(neg.f32 (.f32 n0_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -2/945 binary32) #s(literal -1/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) #s(literal -1 binary32)))))
(* -1 (* n0_i (- (+ (* -1 (/ (* u (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))) (* 7/360 n1_i))))))) n0_i)) (* u (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -2/945 (pow normAngle 2)) 1/45)) 1/3))))) 1)))
(neg.f32 (.f32 n0_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal -2/945 binary32) #s(literal -1/45 binary32))) #s(literal -1/3 binary32)) #s(literal 1 binary32)) (fma.f32 (neg.f32 u) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 31/15120 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))) n1_i) n0_i) #s(literal -1 binary32)))))
(+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) n0_i)
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) (fma.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u) n0_i))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) (fma.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u) n0_i))
(+ n0_i (+ (* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))))) (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) (fma.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (.f32 normAngle normAngle)) u) n0_i))
(* n1_i (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))))
(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) (/.f32 u n1_i) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) (/.f32 u n1_i) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 n0_i n1_i))))
(* n1_i (+ (* u (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))) (+ (/ n0_i n1_i) (/ (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i)) n1_i))))
(.f32 n1_i (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) (/.f32 u n1_i) (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (/.f32 n0_i n1_i))))
(* -1 (* n1_i (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1))))
(.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -31/15120 binary32) (*.f32 normAngle normAngle) #s(literal -7/360 binary32)) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle) #s(literal -7/360 binary32)) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle) #s(literal -7/360 binary32)) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (+ n0_i (* u (- (* (pow normAngle 2) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 1/45 n0_i) (* (pow normAngle 2) (+ (* -1/135 n0_i) (* 1/105 n0_i))))))) n0_i))) n1_i)) (* u (- (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -31/15120 (pow normAngle 2)) 7/360)) 1/6)) 1)))))
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -31/15120 binary32) (.f32 normAngle normAngle) #s(literal -7/360 binary32)) #s(literal -1/6 binary32)) #s(literal -1 binary32)) (/.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n0_i #s(literal 1/45 binary32))) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n0_i)) n0_i) (neg.f32 n1_i))) (neg.f32 n1_i))
n0_i
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+ n0_i (* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) (/ n0_i u))) n0_i))
(.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i))))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) (/ n0_i u))) n0_i))
(.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i))))
(* u (- (+ n1_i (+ (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))))))))) (/ n0_i u))) n0_i))
(.f32 u (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i))))
(* u (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i))
(.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u)))))
(neg.f32 (.f32 (neg.f32 u) (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u)))))
(neg.f32 (.f32 (neg.f32 u) (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)))))
(* -1 (* u (+ (* -1 (- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 n1_i) (+ (* 1/3 n0_i) (* (pow normAngle 2) (+ (* 7/360 n1_i) (+ (* 1/45 n0_i) (* (pow normAngle 2) (- (+ (* -1/135 n0_i) (* 1/105 n0_i)) (+ (* -7/2160 n1_i) (* 1/840 n1_i))))))))))) n0_i)) (* -1 (/ n0_i u)))))
(neg.f32 (.f32 (neg.f32 u) (+.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) n0_i (.f32 n1_i #s(literal 31/15120 binary32))) (fma.f32 n0_i #s(literal 1/45 binary32) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 (/.f32 n0_i u) n0_i)))))
(* -1 (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(*.f32 n1_i #s(literal 31/15120 binary32))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(fma.f32 #s(literal 2/945 binary32) n0_i (*.f32 n1_i #s(literal 31/15120 binary32)))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(fma.f32 #s(literal 2/945 binary32) n0_i (*.f32 n1_i #s(literal 31/15120 binary32)))
(- (* 2/945 n0_i) (+ (* -7/2160 n1_i) (* 1/840 n1_i)))
(fma.f32 #s(literal 2/945 binary32) n0_i (*.f32 n1_i #s(literal 31/15120 binary32)))
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(.f32 n0_i (+.f32 #s(literal 2/945 binary32) (/.f32 (.f32 n1_i #s(literal 31/15120 binary32)) n0_i)))
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(.f32 n0_i (+.f32 #s(literal 2/945 binary32) (/.f32 (.f32 n1_i #s(literal 31/15120 binary32)) n0_i)))
(* n0_i (+ 2/945 (* -1 (/ (+ (* -7/2160 n1_i) (* 1/840 n1_i)) n0_i))))
(.f32 n0_i (+.f32 #s(literal 2/945 binary32) (/.f32 (.f32 n1_i #s(literal 31/15120 binary32)) n0_i)))
(* 2/945 n0_i)
(*.f32 #s(literal 2/945 binary32) n0_i)
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(neg.f32 (*.f32 n0_i (fma.f32 #s(literal -31/15120 binary32) (/.f32 n1_i n0_i) #s(literal -2/945 binary32))))
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(neg.f32 (*.f32 n0_i (fma.f32 #s(literal -31/15120 binary32) (/.f32 n1_i n0_i) #s(literal -2/945 binary32))))
(* -1 (* n0_i (- (+ (* -7/2160 (/ n1_i n0_i)) (* 1/840 (/ n1_i n0_i))) 2/945)))
(neg.f32 (*.f32 n0_i (fma.f32 #s(literal -31/15120 binary32) (/.f32 n1_i n0_i) #s(literal -2/945 binary32))))
(+ (* -1/135 n0_i) (* 1/105 n0_i))
(*.f32 #s(literal 2/945 binary32) n0_i)
(+ (* -1/135 n0_i) (+ (* 31/15120 n1_i) (* 1/105 n0_i)))
(fma.f32 #s(literal 2/945 binary32) n0_i (*.f32 n1_i #s(literal 31/15120 binary32)))
(+ (* -1/135 n0_i) (+ (* 31/15120 n1_i) (* 1/105 n0_i)))
(fma.f32 #s(literal 2/945 binary32) n0_i (*.f32 n1_i #s(literal 31/15120 binary32)))
(+ (* -1/135 n0_i) (+ (* 31/15120 n1_i) (* 1/105 n0_i)))
(fma.f32 #s(literal 2/945 binary32) n0_i (*.f32 n1_i #s(literal 31/15120 binary32)))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* n1_i (+ 31/15120 (+ (* -1/135 (/ n0_i n1_i)) (* 1/105 (/ n0_i n1_i)))))
(*.f32 n1_i (fma.f32 #s(literal 2/945 binary32) (/.f32 n0_i n1_i) #s(literal 31/15120 binary32)))
(* n1_i (+ 31/15120 (+ (* -1/135 (/ n0_i n1_i)) (* 1/105 (/ n0_i n1_i)))))
(*.f32 n1_i (fma.f32 #s(literal 2/945 binary32) (/.f32 n0_i n1_i) #s(literal 31/15120 binary32)))
(* n1_i (+ 31/15120 (+ (* -1/135 (/ n0_i n1_i)) (* 1/105 (/ n0_i n1_i)))))
(*.f32 n1_i (fma.f32 #s(literal 2/945 binary32) (/.f32 n0_i n1_i) #s(literal 31/15120 binary32)))
(* 31/15120 n1_i)
(*.f32 n1_i #s(literal 31/15120 binary32))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/135 n0_i) (* 1/105 n0_i)) n1_i)) 31/15120)))
(.f32 (+.f32 #s(literal -31/15120 binary32) (/.f32 (.f32 #s(literal -2/945 binary32) n0_i) n1_i)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/135 n0_i) (* 1/105 n0_i)) n1_i)) 31/15120)))
(.f32 (+.f32 #s(literal -31/15120 binary32) (/.f32 (.f32 #s(literal -2/945 binary32) n0_i) n1_i)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1/135 n0_i) (* 1/105 n0_i)) n1_i)) 31/15120)))
(.f32 (+.f32 #s(literal -31/15120 binary32) (/.f32 (.f32 #s(literal -2/945 binary32) n0_i) n1_i)) (neg.f32 n1_i))
(* n1_i u)
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(* n1_i u)
(*.f32 n1_i u)
(* n1_i u)
(*.f32 n1_i u)
(* n1_i u)
(*.f32 n1_i u)
(* n1_i u)
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(* n1_i u)
(*.f32 n1_i u)
(* n1_i u)
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(* n1_i u)
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(* n1_i u)
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(* n1_i u)
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(* n1_i u)
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(* n1_i u)
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(* n1_i u)
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(* n1_i u)
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(* n1_i u)
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(* n1_i u)
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(* n1_i u)
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u
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(* n0_i (+ 1 (* -1 u)))
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(* -1 (* n0_i (- u 1)))
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(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 (fma.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) u) n0_i) (+.f32 u #s(literal -1 binary32))) (neg.f32 n0_i))
n0_i
(+ n0_i (* u (+ (* -1 n0_i) (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))))))
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(* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3))))
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(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/6 (* n1_i (pow normAngle 2))) (/ (* n1_i (+ 1 (* 1/6 (pow normAngle 2)))) (pow u 2)))))
(.f32 u (.f32 (.f32 u u) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (neg.f32 (/.f32 n0_i (.f32 u u)))))))
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(.f32 u (.f32 (.f32 u u) (-.f32 (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n1_i (/.f32 (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (.f32 u u)) (/.f32 n0_i (.f32 u (.f32 u u))))) (/.f32 n0_i (.f32 u u)))))
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(.f32 (.f32 u u) (.f32 u (.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)))))
(* -1 (* (pow u 3) (+ (* 1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2))))))
(.f32 (fma.f32 n1_i (/.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (.f32 u u)) (fma.f32 n1_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 n0_i (.f32 u u)))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ n0_i (pow u 3))) (+ (* 1/6 (* n1_i (pow normAngle 2))) (+ (/ n0_i (pow u 2)) (/ (* n1_i (- (* -1/6 (pow normAngle 2)) 1)) (pow u 2)))))))
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(.f32 n1_i (fma.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) u))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) u))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) u))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) u))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) u))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) u))
(* n1_i (+ u (* (pow normAngle 2) (* u (+ 1/6 (* -1/6 (pow u 2)))))))
(.f32 n1_i (fma.f32 normAngle (.f32 normAngle (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))) u))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3))))))
(neg.f32 (fma.f32 n0_i (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u)) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3))))))
(neg.f32 (fma.f32 n0_i (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u)) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3))))))
(neg.f32 (fma.f32 n0_i (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u)) n0_i))
(* -1 (* n0_i (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3))))))
(neg.f32 (fma.f32 n0_i (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u)) n0_i))
(* u (+ n0_i (* -3 n0_i)))
(.f32 u (.f32 #s(literal -2 binary32) n0_i))
(* u (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))))
(.f32 u (fma.f32 n0_i (.f32 #s(literal 3 binary32) u) (*.f32 #s(literal -2 binary32) n0_i)))
(* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(.f32 u (fma.f32 u (fma.f32 n0_i (neg.f32 u) (.f32 n0_i #s(literal 3 binary32))) (*.f32 #s(literal -2 binary32) n0_i)))
(* u (+ n0_i (+ (* -3 n0_i) (* u (+ (* -1 (* n0_i u)) (* 3 n0_i))))))
(.f32 u (fma.f32 u (fma.f32 n0_i (neg.f32 u) (.f32 n0_i #s(literal 3 binary32))) (*.f32 #s(literal -2 binary32) n0_i)))
(* -1 (* n0_i (pow u 3)))
(.f32 (.f32 u (*.f32 n0_i (neg.f32 u))) u)
(* (pow u 3) (+ (* -1 n0_i) (* 3 (/ n0_i u))))
(.f32 (.f32 u u) (*.f32 u (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (neg.f32 n0_i))))
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (/.f32 #s(literal -3 binary32) (.f32 u u)) (-.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (/.f32 n0_i (*.f32 u u))) n0_i)))
(* (pow u 3) (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (+ (* 3 (/ n0_i u)) (/ n0_i (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (/.f32 #s(literal -3 binary32) (.f32 u u)) (-.f32 (fma.f32 (/.f32 n0_i u) #s(literal 3 binary32) (/.f32 n0_i (*.f32 u u))) n0_i)))
(* -1 (* n0_i (pow u 3)))
(.f32 (.f32 u (*.f32 n0_i (neg.f32 u))) u)
(* -1 (* (pow u 3) (+ n0_i (* -3 (/ n0_i u)))))
(.f32 (fma.f32 n0_i (/.f32 #s(literal -3 binary32) u) n0_i) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -1 (/ (+ (* -1 n0_i) (* 3 n0_i)) u)) (* 3 n0_i)) u)))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (-.f32 n0_i (/.f32 (-.f32 (.f32 n0_i #s(literal 3 binary32)) (/.f32 (*.f32 n0_i #s(literal 2 binary32)) u)) u))))
(* -1 (* (pow u 3) (+ n0_i (* -1 (/ (+ (* -1 (/ (+ (* -1 n0_i) (* 3 n0_i)) u)) (* 3 n0_i)) u)))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (-.f32 n0_i (/.f32 (-.f32 (.f32 n0_i #s(literal 3 binary32)) (/.f32 (*.f32 n0_i #s(literal 2 binary32)) u)) u))))
n0_i
(+ n0_i (* -1 (* n1_i (* u (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1)))))
(fma.f32 (.f32 n1_i (neg.f32 u)) (+.f32 #s(literal -1 binary32) (-.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i)))) n0_i)
(+ n0_i (* u (+ (* -1 (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 (+.f32 #s(literal -1 binary32) (-.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i)))) (neg.f32 n1_i) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 u (*.f32 normAngle normAngle))))) n0_i)
(+ n0_i (* u (+ (* -1 (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (* n0_i (* (pow normAngle 2) u))))))))
(fma.f32 u (fma.f32 (+.f32 #s(literal -1 binary32) (-.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i)))) (neg.f32 n1_i) (.f32 u (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)) (.f32 n0_i (.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32))))))) n0_i)
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 u u) (.f32 u (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)))))
(* (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 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)))))
(* (pow u 3) (+ (* -1 (/ (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1)) (pow u 2))) (+ (* -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 n0_i (.f32 normAngle normAngle)) (fma.f32 #s(literal -1/2 binary32) (.f32 n0_i (/.f32 (.f32 normAngle normAngle) u)) (/.f32 (fma.f32 (-.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i))) n1_i (neg.f32 n1_i)) (neg.f32 (*.f32 u u))))))
(* (pow u 3) (+ (* -1 (/ (* n1_i (- (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* -1/6 (pow normAngle 2))) 1)) (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* 1/6 (* n0_i (pow normAngle 2))) (/ n0_i (pow u 3))))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 n1_i (neg.f32 (/.f32 (+.f32 #s(literal -1 binary32) (-.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i)))) (.f32 u u))) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) u) #s(literal -1/2 binary32)) (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (/.f32 n0_i (.f32 u (*.f32 u u)))))))
(* 1/6 (* n0_i (* (pow normAngle 2) (pow u 3))))
(.f32 (.f32 u u) (.f32 u (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)))))
(* -1 (* (pow u 3) (+ (* -1/6 (* n0_i (pow normAngle 2))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(.f32 (fma.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 (.f32 #s(literal 1/2 binary32) n0_i) (/.f32 (.f32 normAngle normAngle) u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 (* n0_i (pow normAngle 2))) (/ (* n1_i (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) n1_i)) (* -1 (/ n0_i n1_i)))) (* -1 (- (* -1/6 (pow normAngle 2)) 1)))) u)) 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 (-.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 n0_i #s(literal 2 binary32)) n1_i) #s(literal -1/6 binary32)) (/.f32 n0_i n1_i))) (/.f32 n1_i u) (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/2 binary32)))) (neg.f32 u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (* n1_i (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) n1_i)) (* -1 (/ n0_i n1_i)))) (* -1 (- (* -1/6 (pow normAngle 2)) 1))))) (* -1 (/ n0_i u))) 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 (neg.f32 (fma.f32 n1_i (-.f32 (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 n0_i #s(literal 2 binary32)) n1_i) #s(literal -1/6 binary32)) (/.f32 n0_i n1_i))) (/.f32 n0_i u))) (neg.f32 u))) (neg.f32 u))) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i)))))
(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))))
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i)))))) (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))))
(.f32 (neg.f32 n1_i) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (.f32 u #s(literal -1/6 binary32)))) (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))))
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i)))))) (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))))
(.f32 (neg.f32 n1_i) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (.f32 u #s(literal -1/6 binary32)))) (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))))
(+ (* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i)))))) (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i))))))
(.f32 (neg.f32 n1_i) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (.f32 u #s(literal -1/6 binary32)))) (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))))
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))))
(neg.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (*.f32 u #s(literal -1/6 binary32)))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(.f32 normAngle (.f32 normAngle (neg.f32 (.f32 n1_i (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (.f32 u #s(literal -1/6 binary32))) (/.f32 (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))) (.f32 normAngle normAngle)))))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(.f32 normAngle (.f32 normAngle (neg.f32 (.f32 n1_i (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (.f32 u #s(literal -1/6 binary32))) (/.f32 (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))) (.f32 normAngle normAngle)))))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(.f32 normAngle (.f32 normAngle (neg.f32 (.f32 n1_i (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (.f32 u #s(literal -1/6 binary32))) (/.f32 (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))) (.f32 normAngle normAngle)))))))
(* -1 (* n1_i (* (pow normAngle 2) (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))))
(neg.f32 (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (*.f32 u #s(literal -1/6 binary32)))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(.f32 normAngle (.f32 normAngle (neg.f32 (.f32 n1_i (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (.f32 u #s(literal -1/6 binary32))) (/.f32 (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))) (.f32 normAngle normAngle)))))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(.f32 normAngle (.f32 normAngle (neg.f32 (.f32 n1_i (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (.f32 u #s(literal -1/6 binary32))) (/.f32 (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))) (.f32 normAngle normAngle)))))))
(* (pow normAngle 2) (+ (* -1 (* n1_i (+ (* -1/6 u) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))) (* -1 (/ (* n1_i (+ (* -1 u) (* -1 (- (/ n0_i n1_i) (/ (* n0_i u) n1_i))))) (pow normAngle 2)))))
(.f32 normAngle (.f32 normAngle (neg.f32 (.f32 n1_i (+.f32 (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (.f32 u #s(literal -1/6 binary32))) (/.f32 (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))) (.f32 normAngle normAngle)))))))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)))
(fma.f32 n0_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)))
(fma.f32 n0_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)))
(fma.f32 n0_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(.f32 n0_i (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))) u))
(.f32 n0_i (-.f32 (fma.f32 n1_i (neg.f32 (/.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) n0_i)) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (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))) #s(literal 1 binary32))) u))
(* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))) u))
(.f32 n0_i (-.f32 (fma.f32 n1_i (neg.f32 (/.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) n0_i)) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (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))) #s(literal 1 binary32))) u))
(* n0_i (- (+ 1 (+ (* -1 (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))))) u))
(.f32 n0_i (-.f32 (fma.f32 n1_i (neg.f32 (/.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) n0_i)) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (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))) #s(literal 1 binary32))) u))
(* -1 (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))))
(.f32 (neg.f32 n0_i) (+.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))
(* -1 (* n0_i (- (+ (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (+ 1 (* -1 u)))))
(.f32 (neg.f32 n0_i) (+.f32 (fma.f32 n1_i (/.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) u))
(* -1 (* n0_i (- (+ (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (+ 1 (* -1 u)))))
(.f32 (neg.f32 n0_i) (+.f32 (fma.f32 n1_i (/.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) u))
(* -1 (* n0_i (- (+ (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (/ (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))) n0_i)) (+ 1 (* -1 u)))))
(.f32 (neg.f32 n0_i) (+.f32 (fma.f32 n1_i (/.f32 (.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) u))
(- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u))
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i))
(- (+ n0_i (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i))))) (* n0_i u))
(fma.f32 n0_i (neg.f32 u) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 (.f32 n1_i (neg.f32 u)) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) n0_i)))
(- (+ n0_i (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i))))) (* n0_i u))
(fma.f32 n0_i (neg.f32 u) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 (.f32 n1_i (neg.f32 u)) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) n0_i)))
(- (+ n0_i (+ (* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1)))) (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i))))) (* n0_i u))
(fma.f32 n0_i (neg.f32 u) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 (.f32 n1_i (neg.f32 u)) (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) n0_i)))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(* n1_i (- (+ (* -1 (* u (- (* -1/6 (pow normAngle 2)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)) (/ n0_i n1_i))) (/ (* n0_i u) n1_i)))
(.f32 n1_i (fma.f32 u (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))))
(* n1_i (- (+ (* -1 (* u (- (* -1/6 (pow normAngle 2)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)) (/ n0_i n1_i))) (/ (* n0_i u) n1_i)))
(.f32 n1_i (fma.f32 u (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))))
(* n1_i (- (+ (* -1 (* u (- (* -1/6 (pow normAngle 2)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)) (/ n0_i n1_i))) (/ (* n0_i u) n1_i)))
(.f32 n1_i (fma.f32 u (neg.f32 (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) #s(literal -1/6 binary32)) (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))))
(* -1 (* n1_i (* u (- (* -1/6 (pow normAngle 2)) 1))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(* -1 (* n1_i (+ (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))
(neg.f32 (.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))
(neg.f32 (.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i)) (* u (- (* -1/6 (pow normAngle 2)) 1)))))
(neg.f32 (.f32 n1_i (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i)))))
(* -1 (/ (- n0_i (* n0_i u)) n1_i))
(neg.f32 (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i))
(+ (* -1 (/ (- n0_i (* n0_i u)) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)))
(fma.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (/.f32 (*.f32 normAngle normAngle) n1_i)) (neg.f32 (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))
(+ (* -1 (/ (- n0_i (* n0_i u)) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)))
(fma.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (/.f32 (*.f32 normAngle normAngle) n1_i)) (neg.f32 (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))
(+ (* -1 (/ (- n0_i (* n0_i u)) n1_i)) (* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i)))
(fma.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (/.f32 (*.f32 normAngle normAngle) n1_i)) (neg.f32 (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))
(* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i))
(/.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))) n1_i)
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (/.f32 (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 n1_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (/.f32 (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 n1_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (/.f32 (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 n1_i (*.f32 normAngle normAngle)))))
(* 1/6 (/ (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)) n1_i))
(/.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i))) n1_i)
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (/.f32 (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 n1_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (/.f32 (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 n1_i (*.f32 normAngle normAngle)))))
(* (pow normAngle 2) (+ (* -1 (/ (- (/ n0_i n1_i) (/ (* n0_i u) n1_i)) (pow normAngle 2))) (* 1/6 (/ (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i) n1_i))))
(.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/6 binary32) (/.f32 (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) n1_i) (/.f32 (neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i)) (.f32 n1_i (*.f32 normAngle normAngle)))))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(neg.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (/.f32 n0_i n1_i)))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(neg.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (/.f32 n0_i n1_i)))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(neg.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (/.f32 n0_i n1_i)))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(neg.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (/.f32 n0_i n1_i)))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(neg.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (/.f32 n0_i n1_i)))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(neg.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (/.f32 n0_i n1_i)))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(neg.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (/.f32 n0_i n1_i)))
(* -1 (/ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) n1_i))
(neg.f32 (.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) (/.f32 n0_i n1_i)))
(/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)
(.f32 (+.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (/.f32 n0_i n1_i))
(/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)
(.f32 (+.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (/.f32 n0_i n1_i))
(/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)
(.f32 (+.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (/.f32 n0_i n1_i))
(/ (* n0_i (- (* -1/6 (* (pow normAngle 2) (+ 1 (+ (* -1 u) (* -1 (pow (- 1 u) 3)))))) (+ 1 (* -1 u)))) n1_i)
(.f32 (+.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (/.f32 n0_i n1_i))
(* -1 (/ n0_i n1_i))
(/.f32 (neg.f32 n0_i) n1_i)
(+ (* -1 (* u (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i)))) (* -1 (/ n0_i n1_i)))
(neg.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i)) (/.f32 n0_i n1_i)))
(+ (* -1 (/ n0_i n1_i)) (* u (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* 1/2 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)))))
(fma.f32 u (fma.f32 n0_i (.f32 (/.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 1/2 binary32)) (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i)))) (/.f32 (neg.f32 n0_i) n1_i))
(+ (* -1 (/ n0_i n1_i)) (* u (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i))) (* u (+ (* -1/6 (/ (* n0_i (* (pow normAngle 2) u)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i)))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (.f32 (/.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal -1/6 binary32)) (.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) n1_i) #s(literal 1/2 binary32)))) (neg.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (*.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i)))) (/.f32 (neg.f32 n0_i) n1_i))
(* -1/6 (/ (* n0_i (* (pow normAngle 2) (pow u 3))) n1_i))
(.f32 (.f32 u (.f32 u u)) (/.f32 (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) n1_i))
(* (pow u 3) (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u)))))
(.f32 (.f32 u (.f32 u u)) (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n1_i u)) (/.f32 (.f32 n0_i (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))) n1_i)))
(* (pow u 3) (+ (* -1 (/ (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i)) (pow u 2))) (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n1_i u)) (/.f32 (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) n1_i)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i)) (*.f32 u u))))
(* (pow u 3) (+ (* -1 (/ n0_i (* n1_i (pow u 3)))) (+ (* -1 (/ (- (* -1/6 (/ (* (pow normAngle 2) (+ n0_i (* -3 n0_i))) n1_i)) (/ n0_i n1_i)) (pow u 2))) (+ (* -1/6 (/ (* n0_i (pow normAngle 2)) n1_i)) (* 1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u)))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 n1_i u)) (/.f32 (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) n1_i)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (.f32 #s(literal -2 binary32) n0_i) n1_i) #s(literal -1/6 binary32)) (/.f32 (neg.f32 n0_i) n1_i)) (.f32 u u))) (/.f32 n0_i (.f32 (.f32 n1_i (.f32 u u)) u))))
(* -1/6 (/ (* n0_i (* (pow normAngle 2) (pow u 3))) n1_i))
(.f32 (.f32 u (.f32 u u)) (/.f32 (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) n1_i))
(* -1 (* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) (* n1_i u))) (* 1/6 (/ (* n0_i (pow normAngle 2)) n1_i)))))
(.f32 (fma.f32 (.f32 n0_i (.f32 normAngle normAngle)) (/.f32 #s(literal -1/2 binary32) (.f32 n1_i u)) (/.f32 (.f32 n0_i (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32))) n1_i)) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (- (+ (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) (* n1_i u))) (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) (* -1 (/ n0_i (* n1_i u)))) u)) (* 1/6 (/ (* n0_i (pow normAngle 2)) n1_i)))))
(.f32 (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 n0_i (/.f32 #s(literal 2 binary32) (.f32 n1_i u))) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) n1_i) #s(literal 1/2 binary32)) (/.f32 n0_i (.f32 n1_i u)))) (neg.f32 u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1/6 (/ (* (pow normAngle 2) (+ (* -1 n0_i) (* 3 n0_i))) n1_i)) (* -1 (/ n0_i n1_i)))) (/ n0_i (* n1_i u))) u)) (* 1/2 (/ (* n0_i (pow normAngle 2)) n1_i))) u)) (* 1/6 (/ (* n0_i (pow normAngle 2)) n1_i)))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) n1_i) #s(literal 1/6 binary32)) (/.f32 (fma.f32 n0_i (.f32 (/.f32 (.f32 normAngle normAngle) n1_i) #s(literal 1/2 binary32)) (/.f32 (-.f32 (/.f32 n0_i (.f32 n1_i u)) (fma.f32 (.f32 normAngle normAngle) (.f32 (/.f32 (*.f32 n0_i #s(literal 2 binary32)) n1_i) #s(literal -1/6 binary32)) (/.f32 n0_i n1_i))) (neg.f32 u))) (neg.f32 u)))))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* -1 (/ (- (+ n0_i (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i u) (* n0_i (pow (- 1 u) 3))) n0_i)))) (* n0_i u)) n1_i))
(/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) (neg.f32 n0_i)) (fma.f32 n0_i (neg.f32 u) n0_i)) (neg.f32 n1_i))
(* n0_i (- u 1))
(fma.f32 n0_i u (neg.f32 n0_i))
(* n0_i (- u 1))
(fma.f32 n0_i u (neg.f32 n0_i))
(* n0_i (- u 1))
(fma.f32 n0_i u (neg.f32 n0_i))
(* n0_i (- u 1))
(fma.f32 n0_i u (neg.f32 n0_i))
(* n0_i (- u 1))
(fma.f32 n0_i u (neg.f32 n0_i))
(* n0_i (- u 1))
(fma.f32 n0_i u (neg.f32 n0_i))
(* n0_i (- u 1))
(fma.f32 n0_i u (neg.f32 n0_i))
(* n0_i (- u 1))
(fma.f32 n0_i u (neg.f32 n0_i))
(* -1 (* n0_i (+ 1 (* -1 u))))
(neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i))
(* -1 (* n0_i (+ 1 (* -1 u))))
(neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i))
(* -1 (* n0_i (+ 1 (* -1 u))))
(neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i))
(* -1 (* n0_i (+ 1 (* -1 u))))
(neg.f32 (fma.f32 n0_i (neg.f32 u) n0_i))
(* -1 n0_i)
(neg.f32 n0_i)
(- (* n0_i u) n0_i)
(fma.f32 n0_i u (neg.f32 n0_i))
(- (* n0_i u) n0_i)
(fma.f32 n0_i u (neg.f32 n0_i))
(- (* n0_i u) n0_i)
(fma.f32 n0_i u (neg.f32 n0_i))
(* n0_i u)
(*.f32 n0_i u)
(* u (+ n0_i (* -1 (/ n0_i u))))
(*.f32 u (-.f32 n0_i (/.f32 n0_i u)))
(* u (+ n0_i (* -1 (/ n0_i u))))
(*.f32 u (-.f32 n0_i (/.f32 n0_i u)))
(* u (+ n0_i (* -1 (/ n0_i u))))
(*.f32 u (-.f32 n0_i (/.f32 n0_i u)))
(* n0_i u)
(*.f32 n0_i u)
(* -1 (* u (+ (* -1 n0_i) (/ n0_i u))))
(neg.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)))
(* -1 (* u (+ (* -1 n0_i) (/ n0_i u))))
(neg.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)))
(* -1 (* u (+ (* -1 n0_i) (/ n0_i u))))
(neg.f32 (*.f32 u (-.f32 (/.f32 n0_i u) n0_i)))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* -7/2160 n1_i)
(*.f32 n1_i #s(literal -7/2160 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 7/360 n1_i)
(*.f32 n1_i #s(literal 7/360 binary32))
(* 1/6 u)
(*.f32 u #s(literal 1/6 binary32))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* u (+ 1/6 (* -1/6 (pow u 2))))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)))
(* -1/6 (pow u 3))
(.f32 u (.f32 #s(literal -1/6 binary32) (*.f32 u u)))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* (pow u 3) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (.f32 u u))))
(* -1/6 (pow u 3))
(.f32 u (.f32 #s(literal -1/6 binary32) (*.f32 u u)))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (- 1/6 (* 1/6 (/ 1 (pow u 2))))))
(.f32 (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/6 binary32) (.f32 u u))) (neg.f32 (.f32 u (.f32 u u))))
1/6
#s(literal 1/6 binary32)
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(+ 1/6 (* -1/6 (pow u 2)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))
(* -1/6 (pow u 2))
(.f32 #s(literal -1/6 binary32) (.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* -1/6 (pow u 2))
(.f32 #s(literal -1/6 binary32) (.f32 u u))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
(* (pow u 2) (- (* 1/6 (/ 1 (pow u 2))) 1/6))
(.f32 (.f32 u u) (+.f32 #s(literal -1/6 binary32) (/.f32 #s(literal 1/6 binary32) (*.f32 u u))))
1
#s(literal 1 binary32)
(+ 1 (* -2 u))
(fma.f32 u #s(literal -2 binary32) #s(literal 1 binary32))
(+ 1 (* u (- u 2)))
(fma.f32 u (+.f32 u #s(literal -2 binary32)) #s(literal 1 binary32))
(+ 1 (* u (- u 2)))
(fma.f32 u (+.f32 u #s(literal -2 binary32)) #s(literal 1 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 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 u u)) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -2 binary32) u))))
(* (pow u 2) (- (+ 1 (/ 1 (pow u 2))) (* 2 (/ 1 u))))
(.f32 (.f32 u u) (+.f32 (/.f32 #s(literal 1 binary32) (*.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 (* -1 (/ (- 2 (/ 1 u)) u))))
(.f32 (.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u)))
(* (pow u 2) (+ 1 (* -1 (/ (- 2 (/ 1 u)) u))))
(.f32 (.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 2 binary32) (/.f32 #s(literal -1 binary32) u)) u)))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))

eval115.0ms (0.8%)

Memory: 21.9MiB live, 249.8MiB allocated
Compiler: Compiled 37 806 to 2 933 computations (92.2% saved)

prune199.0ms (1.4%)

Memory

2.5MiB live, 250.6MiB allocated

Pruning

32 alts after pruning (28 fresh and 4 done)

	Pruned	Kept	Total
New	991	12	1 003
Fresh	5	16	21
Picked	3	2	5
Done	0	2	2
Total	999	32	1 031

Accuracy

100.0%

Counts

1 031 → 32

Alt Table

Click to see full alt table

Status	Accuracy	Program
	52.2%	(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
	98.7%	(fma.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 n0_i (.f32 n0_i u)))
	97.4%	(fma.f32 (-.f32 n1_i n0_i) u n0_i)
	43.3%	(fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n1_i u))
	99.1%	(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i (.f32 u #s(literal -7/360 binary32)) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	98.7%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	98.7%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
	52.0%	(fma.f32 (neg.f32 u) n0_i n0_i)
	98.8%	(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)
	98.7%	(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 u (*.f32 normAngle normAngle))) u) (neg.f32 n0_i))) n0_i)
	98.7%	(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
	98.8%	(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
	97.3%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
	33.8%	(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
	98.5%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
	97.3%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 n1_i u))
	99.0%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
	95.9%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.3%	(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
	81.5%	(+.f32 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))
	73.7%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
	43.5%	(.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))) (neg.f32 n1_i))
	43.3%	(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
	41.8%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	51.6%	(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
	43.5%	(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
✓	43.3%	(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
	43.3%	(.f32 n1_i (.f32 u (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
✓	42.4%	(*.f32 n1_i u)
✓	52.0%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
	97.1%	(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_i)))))
✓	40.4%	n0_i

Compiler

Compiled 2 094 to 706 computations (66.3% saved)

regimes113.0ms (0.8%)

Memory

8.3MiB live, 157.5MiB allocated

Counts

61 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 u) n0_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 n1_i u))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
(neg.f32 (.f32 n1_i (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 n1_i (.f32 u (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n1_i u))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_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 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.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 n0_i (.f32 n0_i u)))
(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(.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))) (neg.f32 n1_i))
(.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 u (*.f32 normAngle normAngle))) u) (neg.f32 n0_i))) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) u)) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (.f32 n0_i (+.f32 (-.f32 u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))))
(+.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (-.f32 n0_i (.f32 n0_i u))) (neg.f32 n1_i))) (neg.f32 n1_i))
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u)) (/.f32 (.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 (*.f32 normAngle normAngle) u))) n0_i))) u) n0_i)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(+.f32 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 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i (.f32 u #s(literal -7/360 binary32)) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) n0_i)
(fma.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+.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 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
(fma.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (.f32 n1_i (pow.f32 u #s(literal 7 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 n1_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 u #s(literal 5 binary32)) u)) (.f32 #s(literal -1/36 binary32) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal -1/36 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)))))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 #s(literal -1/5040 binary32) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i))))))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32))))) (.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)) #s(literal 1/120 binary32)))))))))))

Outputs
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)

Calls

5 calls:

42.0ms	(+.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))
19.0ms	n1_i
17.0ms	u
17.0ms	normAngle
16.0ms	n0_i

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes93.0ms (0.6%)

Memory

-23.5MiB live, 176.3MiB allocated

Counts

56 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 u) n0_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 n1_i u))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
(neg.f32 (.f32 n1_i (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 n1_i (.f32 u (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n1_i u))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_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 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.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 n0_i (.f32 n0_i u)))
(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(.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))) (neg.f32 n1_i))
(.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 u (*.f32 normAngle normAngle))) u) (neg.f32 n0_i))) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) u)) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (.f32 n0_i (+.f32 (-.f32 u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))))
(+.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (-.f32 n0_i (.f32 n0_i u))) (neg.f32 n1_i))) (neg.f32 n1_i))
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u)) (/.f32 (.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 (*.f32 normAngle normAngle) u))) n0_i))) u) n0_i)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(+.f32 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 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i (.f32 u #s(literal -7/360 binary32)) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) n0_i)
(fma.f32 n1_i (fma.f32 (.f32 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (.f32 u normAngle)) n1_i (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))

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

Calls

5 calls:

19.0ms	u
18.0ms	(+.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))
17.0ms	n1_i
16.0ms	n0_i
14.0ms	normAngle

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes87.0ms (0.6%)

Memory

-5.4MiB live, 161.4MiB allocated

Counts

50 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 u) n0_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 n1_i u))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
(neg.f32 (.f32 n1_i (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 n1_i (.f32 u (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n1_i u))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_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 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.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 n0_i (.f32 n0_i u)))
(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(.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))) (neg.f32 n1_i))
(.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 u (*.f32 normAngle normAngle))) u) (neg.f32 n0_i))) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) u)) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (.f32 n0_i (+.f32 (-.f32 u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))))
(+.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (-.f32 n0_i (.f32 n0_i u))) (neg.f32 n1_i))) (neg.f32 n1_i))
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u)) (/.f32 (.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 (*.f32 normAngle normAngle) u))) n0_i))) u) n0_i)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(+.f32 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 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i (.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (neg.f32 (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u)))) (fma.f32 n1_i (.f32 u #s(literal -7/360 binary32)) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i)))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))

Outputs

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

Calls

5 calls:

23.0ms	normAngle
16.0ms	u
16.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
16.0ms	n1_i
13.0ms	n0_i

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes94.0ms (0.7%)

Memory

7.0MiB live, 164.0MiB allocated

Counts

43 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 u) n0_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 n1_i u))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
(neg.f32 (.f32 n1_i (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 n1_i (.f32 u (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n1_i u))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_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 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.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 n0_i (.f32 n0_i u)))
(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(.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))) (neg.f32 n1_i))
(.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 u (*.f32 normAngle normAngle))) u) (neg.f32 n0_i))) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) u)) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (.f32 n0_i (+.f32 (-.f32 u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))))
(+.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(.f32 (fma.f32 u (fma.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)) (/.f32 (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (neg.f32 (-.f32 n0_i (.f32 n0_i u)))) (-.f32 n0_i (.f32 n0_i u))) (neg.f32 n1_i))) (neg.f32 n1_i))
(fma.f32 n0_i (-.f32 (fma.f32 n1_i (/.f32 u n0_i) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 #s(literal -1 binary32) u)) (/.f32 (.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 (*.f32 normAngle normAngle) u))) n0_i))) u) n0_i)
(/.f32 (.f32 n1_i (.f32 normAngle u)) (sin.f32 normAngle))

Outputs

(+.f32 (*.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (*.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (*.f32 n1_i #s(literal -7/2160 binary32)))) (*.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)

Calls

5 calls:

38.0ms	normAngle
14.0ms	u
14.0ms	n1_i
14.0ms	n0_i
12.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Results

Accuracy	Segments	Branch
99.1%	1	`normAngle`
99.1%	1	`u`
99.1%	1	`n0_i`
99.1%	1	`n1_i`
99.1%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes84.0ms (0.6%)

Memory

12.4MiB live, 124.6MiB allocated

Counts

39 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 u) n0_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 n1_i u))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
(neg.f32 (.f32 n1_i (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 n1_i (.f32 u (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n1_i u))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_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 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.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 n0_i (.f32 n0_i u)))
(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(.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))) (neg.f32 n1_i))
(.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 u (*.f32 normAngle normAngle))) u) (neg.f32 n0_i))) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (.f32 (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) u)) (.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (*.f32 n0_i #s(literal 1/3 binary32))) u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (.f32 n0_i (+.f32 (-.f32 u (/.f32 (.f32 n1_i (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) u) u)) n0_i)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (+.f32 #s(literal -1 binary32) u)) (-.f32 #s(literal 1 binary32) u))) #s(literal -1 binary32)))))
(+.f32 (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))

Outputs

(fma.f32 u (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (*.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (*.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (*.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)

Calls

5 calls:

33.0ms	n1_i
14.0ms	u
13.0ms	normAngle
11.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
11.0ms	n0_i

Results

Accuracy	Segments	Branch
99.0%	1	`normAngle`
99.0%	1	`u`
99.0%	1	`n0_i`
99.0%	1	`n1_i`
99.0%	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)

regimes70.0ms (0.5%)

Memory

23.0MiB live, 103.8MiB allocated

Counts

34 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 u) n0_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 n1_i u))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
(neg.f32 (.f32 n1_i (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 n1_i (.f32 u (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n1_i u))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_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 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.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 n0_i (.f32 n0_i u)))
(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(.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))) (neg.f32 n1_i))
(.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 u (*.f32 normAngle normAngle))) u) (neg.f32 n0_i))) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))

Outputs

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

Calls

5 calls:

29.0ms	u
11.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
10.0ms	n0_i
9.0ms	n1_i
9.0ms	normAngle

Results

Accuracy	Segments	Branch
99.0%	1	`n0_i`
99.0%	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))`
99.0%	1	`normAngle`
99.0%	1	`u`
99.0%	1	`n1_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes55.0ms (0.4%)

Memory

-23.6MiB live, 129.4MiB allocated

Counts

32 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 u) n0_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 n1_i u))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
(neg.f32 (.f32 n1_i (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 n1_i (.f32 u (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n1_i u))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_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 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.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 n0_i (.f32 n0_i u)))
(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 2/945 binary32) (.f32 normAngle normAngle) #s(literal 1/45 binary32)) #s(literal 1/3 binary32)) #s(literal -1 binary32)) (.f32 n0_i u) n0_i)
(.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))) (neg.f32 n1_i))
(.f32 n0_i (fma.f32 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 (-.f32 #s(literal 1 binary32) u))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u)))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 u (*.f32 normAngle normAngle))) u) (neg.f32 n0_i))) n0_i)

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

Calls

5 calls:

13.0ms	u
11.0ms	normAngle
11.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
10.0ms	n1_i
9.0ms	n0_i

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)

regimes44.0ms (0.3%)

Memory

35.4MiB live, 109.6MiB allocated

Counts

27 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(fma.f32 n0_i (neg.f32 u) n0_i)
(fma.f32 (neg.f32 u) n0_i n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+.f32 (*.f32 (-.f32 n1_i n0_i) u) n0_i)
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 n1_i u))
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(.f32 n1_i (fma.f32 (.f32 normAngle (*.f32 normAngle u)) #s(literal 1/6 binary32) u))
(neg.f32 (.f32 n1_i (.f32 u (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 n1_i (.f32 u (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32)))))
(.f32 (.f32 n1_i u) (neg.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32) #s(literal -1 binary32))))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (.f32 (.f32 normAngle normAngle) u) (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n1_i u))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(neg.f32 (*.f32 n1_i (neg.f32 (+.f32 u (/.f32 (fma.f32 n0_i (neg.f32 u) n0_i) n1_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 normAngle (.f32 normAngle u)) (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (*.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 n0_i (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 n0_i (fma.f32 (-.f32 n1_i n0_i) u n0_i))) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.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 n0_i (.f32 n0_i u)))
(.f32 n1_i (fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) (.f32 u (*.f32 normAngle normAngle)) u))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))

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

Calls

5 calls:

11.0ms	n1_i
8.0ms	u
8.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
8.0ms	n0_i
8.0ms	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)

regimes50.0ms (0.4%)

Memory

-57.3MiB live, 102.2MiB allocated

Counts

22 → 1

Calls

Call 1

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

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:

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))
8.0ms	normAngle
7.0ms	n0_i
7.0ms	u
7.0ms	n1_i

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)

regimes32.0ms (0.2%)

Memory

4.4MiB live, 85.0MiB allocated

Counts

18 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	u
6.0ms	n1_i
6.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
6.0ms	n0_i
5.0ms	normAngle

Results

Accuracy	Segments	Branch
98.7%	1	`normAngle`
98.7%	1	`u`
98.7%	1	`n0_i`
98.7%	1	`n1_i`
98.7%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes29.0ms (0.2%)

Memory

-3.1MiB live, 74.1MiB allocated

Counts

16 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
98.7%	1	`normAngle`
98.7%	1	`u`
98.7%	1	`n0_i`
98.7%	1	`n1_i`
98.7%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes29.0ms (0.2%)

Memory

-8.5MiB live, 70.0MiB allocated

Counts

14 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	normAngle
6.0ms	n1_i
5.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
5.0ms	u
4.0ms	n0_i

Results

Accuracy	Segments	Branch
97.4%	1	`normAngle`
97.4%	1	`u`
97.4%	1	`n0_i`
97.4%	1	`n1_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)

regimes30.0ms (0.2%)

Memory

-2.3MiB live, 36.4MiB allocated

Counts

5 → 3

Calls

Call 1

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

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

Calls

5 calls:

20.0ms	n0_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))
2.0ms	normAngle
2.0ms	u
2.0ms	n1_i

Results

Accuracy	Segments	Branch
69.7%	3	`n0_i`
52.0%	1	`normAngle`
52.0%	1	`u`
69.0%	3	`n1_i`
52.0%	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)

regimes2.0ms (0%)

Memory

5.9MiB live, 5.9MiB allocated

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

n0_i

Results

Accuracy	Segments	Branch
69.6%	3	`n0_i`

Compiler

Compiled 5 to 4 computations (20% saved)

regimes3.0ms (0%)

Memory

9.5MiB live, 9.5MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 n1_i u)

Outputs
n0_i
(*.f32 n1_i u)
n0_i

Calls

2 calls:

2.0ms	n0_i
2.0ms	n1_i

Results

Accuracy	Segments	Branch
59.6%	3	`n1_i`
60.9%	3	`n0_i`

Compiler

Compiled 10 to 8 computations (20% saved)

regimes7.0ms (0%)

Memory

20.4MiB live, 20.4MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
n0_i

Outputs
n0_i

Calls

5 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	n0_i
1.0ms	normAngle
1.0ms	n1_i
1.0ms	u

Results

Accuracy	Segments	Branch
40.4%	1	`normAngle`
40.4%	1	`u`
40.4%	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))`
40.4%	1	`n1_i`
40.4%	1	`n0_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 1.0MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.9197152981759047e-24	1.9826123062202705e-22
0.0ms	-3.5514896202387674e-19	-5.950105309019702e-20

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch13.0ms (0.1%)

Memory

-38.0MiB live, 0.8MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	1.9197152981759047e-24	1.9826123062202705e-22
0.0ms	-7.402775343860894e-19	-5.092269124471518e-19

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

1.0MiB live, 0.9MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.4457570249781938e-15	1.3962440280563052e-14
0.0ms	-6.9030860095785265e-15	-3.661685314497714e-15

Compiler

Compiled 32 to 24 computations (25% saved)

simplify25.0ms (0.2%)

Memory

14.6MiB live, 52.6MiB allocated

Algorithm

1×	egg-herbie

Rules

212×	`unsub-neg_binary32`
122×	`neg-mul-1_binary32`
90×	`*-commutative_binary32`
74×	`distribute-neg-out_binary32`
64×	`+-commutative_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	349
1	191	349
2	231	349
3	286	346
4	338	346
5	373	346
6	390	346
7	483	346
8	591	346

Stop Event

1×

saturated

Calls

Call 1

Inputs
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (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 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n0_i #s(literal -7737125/38685626227668133590597632 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (*.f32 n1_i u) (fma.f32 n0_i (neg.f32 u) n0_i)))
(if (<=.f32 n0_i #s(literal -1450711/2417851639229258349412352 binary32)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n0_i #s(literal -2951479/590295810358705651712 binary32)) n0_i (if (<=.f32 n0_i #s(literal 9444733/2361183241434822606848 binary32)) (*.f32 n1_i u) n0_i))
n0_i

Outputs
(fma.f32 u (fma.f32 n0_i (/.f32 (.f32 normAngle (cos.f32 normAngle)) (neg.f32 (sin.f32 normAngle))) (.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)))) n0_i)
(+.f32 (.f32 (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle)))) u) n0_i)
(+.f32 n0_i (.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i (.f32 (/.f32 #s(literal -1 binary32) normAngle) (tan.f32 normAngle))))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (neg.f32 (+.f32 (-.f32 (.f32 n0_i #s(literal -1/720 binary32)) (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32))))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32))))) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (-.f32 (fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))) (fma.f32 n0_i #s(literal -1/5040 binary32) (.f32 n0_i #s(literal -1/360 binary32)))) (.f32 n0_i #s(literal -1/720 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (fma.f32 n1_i #s(literal 7/360 binary32) (-.f32 (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))) (.f32 n0_i #s(literal 1/24 binary32))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/45 binary32) (fma.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 n0_i #s(literal 1/105 binary32) (.f32 n0_i #s(literal -1/135 binary32))) (fma.f32 n1_i #s(literal 1/840 binary32) (.f32 n1_i #s(literal -7/2160 binary32)))) (.f32 n1_i #s(literal 7/360 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (neg.f32 (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32)))))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 n1_i #s(literal 7/360 binary32) (-.f32 (fma.f32 n0_i #s(literal 1/18 binary32) (.f32 n0_i #s(literal 1/120 binary32))) (.f32 n0_i #s(literal 1/24 binary32)))) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i)) u) n0_i)
(+.f32 n0_i (.f32 u (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 n1_i #s(literal 7/360 binary32) (.f32 n0_i #s(literal 1/45 binary32)))) (fma.f32 n0_i #s(literal 1/3 binary32) (*.f32 n1_i #s(literal 1/6 binary32)))) (-.f32 n1_i n0_i))))
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 #s(literal 3 binary32) n0_i) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (-.f32 (fma.f32 u (*.f32 n0_i #s(literal 3 binary32)) (-.f32 (neg.f32 n0_i) n0_i)) n1_i)) (-.f32 n1_i n0_i)) n0_i)
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 normAngle u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (fma.f32 n1_i #s(literal 1/6 binary32) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle (*.f32 u normAngle)) (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 #s(literal 1/6 binary32) (*.f32 n1_i u)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(fma.f32 u (fma.f32 n1_i (fma.f32 normAngle (*.f32 normAngle #s(literal 1/6 binary32)) #s(literal 1 binary32)) (neg.f32 n0_i)) n0_i)
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(if (<=.f32 n0_i #s(literal -7737125/38685626227668133590597632 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (*.f32 n1_i u) (fma.f32 n0_i (neg.f32 u) n0_i)))
(if (<=.f32 n0_i #s(literal -7737125/38685626227668133590597632 binary32)) (fma.f32 n0_i (neg.f32 u) n0_i) (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (*.f32 u n1_i) (fma.f32 n0_i (neg.f32 u) n0_i)))
(if (<=.f32 n0_i #s(literal -1450711/2417851639229258349412352 binary32)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (.f32 n1_i u) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n0_i #s(literal -1450711/2417851639229258349412352 binary32)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 10141205/5070602400912917605986812821504 binary32)) (.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n0_i #s(literal -2951479/590295810358705651712 binary32)) n0_i (if (<=.f32 n0_i #s(literal 9444733/2361183241434822606848 binary32)) (*.f32 n1_i u) n0_i))
(if (<=.f32 n0_i #s(literal -2951479/590295810358705651712 binary32)) n0_i (if (<=.f32 n0_i #s(literal 9444733/2361183241434822606848 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness1.5s (10.2%)

Memory

24.5MiB live, 1 305.6MiB allocated

Rules

13 436×	`accelerator-lowering-fma.f32`
13 436×	`accelerator-lowering-fma.f64`
13 066×	`accelerator-lowering-fma.f32`
13 066×	`accelerator-lowering-fma.f64`
12 872×	`accelerator-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	614	9090
1	2141	8860
2	7878	8860
0	8038	8242
0	43	195
1	241	191
2	1952	187
0	8369	178
0	708	8267
1	2476	7739
0	8013	7360
0	662	8431
1	2226	7752
0	8176	7388
0	321	2830
1	987	2714
2	3385	2654
0	8124	2540

Stop Event

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

Compiler

Compiled 825 to 444 computations (46.2% saved)

preprocess182.0ms (1.3%)

Memory: -24.6MiB live, 255.8MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 1 188 to 518 computations (56.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	126	349
1	191	349
2	231	349
3	286	346
4	338	346
5	373	346
6	390	346
7	483	346
8	591	346

Iter	Nodes	Cost
0	126	349
1	191	349
2	231	349
3	286	346
4	338	346
5	373	346
6	390	346
7	483	346
8	591	346

analyze315.0ms (2.2%)

sample3.2s (22.2%)

preprocess131.0ms (0.9%)

explain201.0ms (1.4%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify75.0ms (0.5%)

localize51.0ms (0.4%)

series35.0ms (0.2%)

rewrite772.0ms (5.4%)

simplify490.0ms (3.4%)

eval37.0ms (0.3%)

prune62.0ms (0.4%)

simplify290.0ms (2%)

localize194.0ms (1.4%)

series63.0ms (0.4%)

rewrite367.0ms (2.6%)

simplify504.0ms (3.5%)

eval260.0ms (1.8%)

prune225.0ms (1.6%)

simplify640.0ms (4.5%)

localize346.0ms (2.4%)

series73.0ms (0.5%)

rewrite556.0ms (3.9%)

simplify527.0ms (3.7%)

eval227.0ms (1.6%)

prune241.0ms (1.7%)

simplify447.0ms (3.1%)

localize233.0ms (1.6%)

series81.0ms (0.6%)

rewrite418.0ms (2.9%)

simplify491.0ms (3.4%)

eval115.0ms (0.8%)

prune199.0ms (1.4%)

regimes113.0ms (0.8%)

regimes93.0ms (0.6%)

regimes87.0ms (0.6%)

regimes94.0ms (0.7%)

regimes84.0ms (0.6%)

regimes70.0ms (0.5%)

regimes55.0ms (0.4%)

regimes44.0ms (0.3%)

regimes50.0ms (0.4%)

regimes32.0ms (0.2%)

regimes29.0ms (0.2%)

regimes29.0ms (0.2%)

regimes30.0ms (0.2%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes7.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

bsearch0.0ms (0%)

simplify25.0ms (0.2%)

soundness1.5s (10.2%)

preprocess182.0ms (1.3%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	126	349
1	191	349
2	231	349
3	286	346
4	338	346
5	373	346
6	390	346
7	483	346
8	591	346