Metrics for Curve intersection, scale width based on ribbon orientation

analyze517.0ms (3.7%)

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%	99.4%	0%	0%	0%	6
25%	0.1%	0.4%	99.4%	0%	0%	0%	7
25%	0.1%	0.4%	99.4%	0%	0%	0%	8
25%	0.1%	0.4%	99.4%	0%	0%	0%	9
45%	0.2%	0.3%	99.5%	0%	0%	0%	10
52.5%	0.3%	0.2%	99.5%	0%	0%	0%	11
52.5%	0.3%	0.2%	99.5%	0%	0%	0%	12

Compiler

Compiled 62 to 38 computations (38.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 322.0ms

ival-mult: 82.0ms (25.5% of total)

ival-sin: 77.0ms (23.9% of total)

ival-<=: 45.0ms (14% of total)

ival-add: 34.0ms (10.6% of total)

...c/correct-round.rkt:119:19: 31.0ms (9.6% of total)

ival-div: 20.0ms (6.2% of total)

ival-sub: 11.0ms (3.4% of total)

ival-and: 10.0ms (3.1% of total)

ival-pi: 7.0ms (2.2% of total)

const: 3.0ms (0.9% of total)

backward-pass: 1.0ms (0.3% of total)

sample3.5s (25.4%)

Results

2.3s	8256×	0	valid
567.0ms	2009×	0	precondition

Precisions

Click to see histograms. Total time spent on operations: 2.2s

ival-<=: 580.0ms (27% of total)

ival-mult: 449.0ms (20.9% of total)

ival-sin: 445.0ms (20.7% of total)

...c/correct-round.rkt:119:19: 204.0ms (9.5% of total)

ival-div: 170.0ms (7.9% of total)

ival-sub: 99.0ms (4.6% of total)

ival-and: 70.0ms (3.3% of total)

ival-pi: 55.0ms (2.6% of total)

ival-add: 53.0ms (2.5% of total)

const: 24.0ms (1.1% of total)

backward-pass: 4.0ms (0.2% of total)

Bogosity

preprocess178.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

2682×	`fnmadd-define`
2144×	`fma-define`
1832×	`sum5-define`
1772×	`sum4-define`
1406×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	107	344
1	297	304
2	850	287
3	2937	241
4	6767	241
0	17	22
1	38	20
2	83	19
3	163	16
4	232	16
5	291	16
6	394	16
7	533	16
8	1261	16
9	1475	16
10	1821	16
11	2739	16
12	5107	16
0	8141	16

Stop Event

1×	iter limit
1×	node limit
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 (+.f32 (*.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (*.f32 (sin.f32 (*.f32 u normAngle)) n1_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))
(/ (fma (sin (fnmadd u normAngle normAngle)) n0_i (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 u) (neg normAngle))) (/ 1 (sin (neg normAngle)))) n0_i) (* (* (sin (* u (neg normAngle))) (/ 1 (sin (neg normAngle)))) n1_i))
(/ (fma (sin (fnmadd u normAngle normAngle)) n0_i (* (sin (* u normAngle)) n1_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 (neg u)) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* (neg u) normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (fnmadd (sin (* u normAngle)) n1_i (* n0_i (sin (fma u normAngle normAngle)))) (sin normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (fmsub (sin (* u normAngle)) n1_i (* (sin (fnmadd u normAngle normAngle)) n0_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (neg n1_i)))
(/ (fmsub (sin (fnmadd u normAngle 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)))
(neg (/ (fma (sin (fnmadd u normAngle normAngle)) n0_i (* (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)))
(/ (fmsub (sin (* u normAngle)) n1_i (* n0_i (sin (fma u normAngle normAngle)))) (sin normAngle))
(neg (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (neg n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)))
(/ (fmsub (sin (fnmadd u normAngle 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))))
(/ (fmsub (sin (* u normAngle)) n1_i (* (sin (fnmadd u normAngle normAngle)) n0_i)) (sin normAngle))
(+ (* (* (sin (* (- 1 normAngle) u)) (/ 1 (sin u))) n0_i) (* (* (sin (* normAngle u)) (/ 1 (sin u))) n1_i))
(/ (fma n0_i (sin (fnmadd u normAngle u)) (* (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))
(/ (fma n1_i (sin (* u n0_i)) (* normAngle (sin (fnmadd u n0_i 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))
(/ (fma normAngle (sin (* u n1_i)) (* n0_i (sin (fnmadd u n1_i n1_i)))) (sin n1_i))
(+ (* (* (sin (* (- 1 n0_i) normAngle)) (/ 1 (sin normAngle))) u) (* (* (sin (* n0_i normAngle)) (/ 1 (sin normAngle))) n1_i))
(/ (fma u (sin (fnmadd normAngle n0_i normAngle)) (* 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))
(/ (fma u (sin (* normAngle n1_i)) (* n0_i (sin (fnmadd normAngle n1_i normAngle)))) (sin normAngle))
(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n1_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n0_i))
(/ (fma n0_i (sin (* u normAngle)) (* (sin (fnmadd u normAngle normAngle)) n1_i)) (sin normAngle))

Symmetry

(abs normAngle)

explain181.0ms (1.3%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
25	-	22	(5.4974410118850115e-39 0.002658667741343379 2.7937743603463107e-14 1.1918726539063521e-18)	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
1	-	0	-	`(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))`
0	-	0	-	`(sin.f32 (*.f32 u normAngle))`
0	-	0	-	`(sin.f32 normAngle)`
0	-	0	-	`u`
0	-	0	-	`#s(literal 1 binary32)`
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	-	`(-.f32 #s(literal 1 binary32) u)`
0	-	0	-	`normAngle`
0	-	0	-	`n0_i`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)`
0	-	0	-	`(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)`
0	-	0	-	`n1_i`
0	-	0	-	`(*.f32 u normAngle)`
0	-	0	-	`(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) 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)`

Results

103.0ms	498×	0	valid
9.0ms	14×	5	exit

Compiler

Compiled 241 to 53 computations (78% saved)

Precisions

Click to see histograms. Total time spent on operations: 57.0ms

ival-mult: 20.0ms (34.9% of total)

ival-sin: 14.0ms (24.5% of total)

ival-add: 13.0ms (22.7% of total)

ival-div: 4.0ms (7% of total)

ival-sub: 3.0ms (5.2% of total)

backward-pass: 2.0ms (3.5% of total)

const: 1.0ms (1.7% of total)

eval0.0ms (0%)

Compiler: Compiled 22 to 15 computations (31.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	72.7%	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	97.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Status

Accuracy

Program

▶

72.7%

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

▶

97.5%

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

Compiler

Compiled 51 to 32 computations (37.3% saved)

simplify107.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
✓	cost-diff	0	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
✓	cost-diff	0	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓	cost-diff	64	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	cost-diff	64	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	64	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	cost-diff	3392	(+.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

2682×	`fnmadd-define`
2144×	`fma-define`
1832×	`sum5-define`
1406×	`sum3-define`
994×	`fnmsub-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	21	171
1	46	163
2	88	159
3	151	147
4	213	147
5	272	147
6	375	147
7	514	147
8	1243	147
9	1457	147
10	1789	147
11	2695	147
12	5063	147
0	8124	147

Stop Event

1×	iter limit
1×	node limit

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

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

localize152.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i)
✓	accuracy	99.7%	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	73.8%	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.6%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	98.4%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	95.0%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Results

107.0ms	249×	0	valid
6.0ms	7×	5	exit

Compiler

Compiled 181 to 22 computations (87.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 31.0ms

ival-mult: 15.0ms (48.1% of total)

ival-sin: 7.0ms (22.4% of total)

ival-div: 4.0ms (12.8% of total)

ival-add: 2.0ms (6.4% of total)

ival-sub: 2.0ms (6.4% of total)

backward-pass: 1.0ms (3.2% of total)

const: 0.0ms (0% of total)

series53.0ms (0.4%)

Counts

11 → 384

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

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

Calls

96 calls:

Time	Variable		Point	Expression
6.0ms	n1_i	@	0	(/ (+ (* (sin (* (- 1 u) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
4.0ms	n0_i	@	0	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
3.0ms	normAngle	@	-inf	(* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle)))
2.0ms	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))

rewrite337.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

5238×	`-lowering-.f32`
5238×	`-lowering-.f64`
2082×	`/-lowering-/.f32`
2082×	`/-lowering-/.f64`
1656×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	21	115
1	98	115
2	761	109
0	8581	109

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 473

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

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

simplify529.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

5816×	`-lowering-.f32`
5816×	`-lowering-.f64`
3412×	`+-lowering-+.f64`
3412×	`+-lowering-+.f32`
2116×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	567	6349
1	2023	5832
0	8416	5832

Stop Event

1×	iter limit
1×	node limit

Counts

384 → 384

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

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

eval420.0ms (3%)

Compiler: Compiled 33701 to 1764 computations (94.8% saved)

prune107.0ms (0.8%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	917	19	936
Fresh	0	0	0
Picked	2	0	2
Done	0	0	0
Total	919	19	938

Accuracy

100.0%

Counts

938 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	71.1%	(/.f32 (+.f32 (.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
▶	72.9%	(/.f32 (+.f32 (.f32 (sin.f32 (+.f32 (neg.f32 (.f32 u normAngle)) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
	72.4%	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 u (.f32 normAngle n1_i))) (sin.f32 normAngle))
	72.3%	(/.f32 (.f32 normAngle (+.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 u n1_i)) (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (.f32 u (.f32 (.f32 u u) n1_i))) (.f32 normAngle normAngle))))) (sin.f32 normAngle))
	71.2%	(/.f32 (.f32 normAngle (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) (sin.f32 normAngle))
	29.9%	(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
	46.7%	(/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
	97.6%	(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	97.7%	(+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
▶	98.6%	(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
	97.8%	(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 u n1_i))
▶	82.6%	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	87.4%	(+.f32 n0_i (.f32 u (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
	72.6%	(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
▶	35.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	61.3%	(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
	97.6%	(.f32 n1_i (+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (/.f32 n0_i n1_i) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
▶	50.7%	n0_i

Compiler

Compiled 842 to 526 computations (37.5% saved)

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	32	(sin.f32 (+.f32 (neg.f32 (*.f32 u normAngle)) normAngle))
✓	cost-diff	32	(.f32 (sin.f32 (+.f32 (neg.f32 (.f32 u normAngle)) normAngle)) n0_i)
✓	cost-diff	32	(+.f32 (.f32 (sin.f32 (+.f32 (neg.f32 (.f32 u normAngle)) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
✓	cost-diff	32	(/.f32 (+.f32 (.f32 (sin.f32 (+.f32 (neg.f32 (.f32 u normAngle)) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓	cost-diff	0	(sin.f32 (*.f32 u normAngle))
✓	cost-diff	64	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	64	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	cost-diff	64	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	cost-diff	0	(/.f32 n1_i (sin.f32 normAngle))
✓	cost-diff	0	(*.f32 u normAngle)
✓	cost-diff	0	(sin.f32 (*.f32 u normAngle))
✓	cost-diff	0	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓	cost-diff	192	(+.f32 (.f32 n0_i (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))
✓	cost-diff	192	(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32)))))))
✓	cost-diff	192	(+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
✓	cost-diff	192	(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))

Rules

3560×	`-lowering-.f32`
3560×	`-lowering-.f64`
2534×	`+-lowering-+.f64`
2534×	`+-lowering-+.f32`
1242×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	403
1	122	387
2	372	371
3	1724	362
0	8822	362

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize264.0ms (1.9%)

Localize:

Found 16 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(+.f32 (.f32 (sin.f32 (+.f32 (neg.f32 (.f32 u normAngle)) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i))
✓	accuracy	99.7%	(.f32 (sin.f32 (+.f32 (neg.f32 (.f32 u normAngle)) normAngle)) n0_i)
✓	accuracy	99.7%	(.f32 (sin.f32 (.f32 u normAngle)) n1_i)
✓	accuracy	73.1%	(/.f32 (+.f32 (.f32 (sin.f32 (+.f32 (neg.f32 (.f32 u normAngle)) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
✓	accuracy	100.0%	(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓	accuracy	99.9%	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	accuracy	99.8%	(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	accuracy	95.0%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(sin.f32 (*.f32 u normAngle))
✓	accuracy	100.0%	(sin.f32 normAngle)
✓	accuracy	100.0%	(/.f32 n1_i (sin.f32 normAngle))
✓	accuracy	96.0%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓	accuracy	99.0%	(+.f32 #s(literal -1/6 binary32) (*.f32 u #s(literal 1/6 binary32)))
✓	accuracy	98.9%	(.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))
✓	accuracy	98.7%	(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
✓	accuracy	72.6%	(+.f32 (.f32 n0_i (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))

Results

180.0ms	255×	0	valid
4.0ms	1×	5	exit

Compiler

Compiled 455 to 44 computations (90.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 90.0ms

ival-mult: 33.0ms (36.7% of total)

ival-add: 31.0ms (34.5% of total)

ival-sin: 7.0ms (7.8% of total)

...c/correct-round.rkt:119:19: 7.0ms (7.8% of total)

ival-div: 5.0ms (5.6% of total)

ival-sub: 3.0ms (3.3% of total)

backward-pass: 1.0ms (1.1% of total)

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

const: 0.0ms (0% of total)

series61.0ms (0.4%)

Counts

21 → 648

Calls

Call 1

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

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

Calls

162 calls:

Time	Variable		Point	Expression
9.0ms	n1_i	@	-inf	(+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* n0_i (* (+ -1/6 (* u 1/6)) (* (- 1 u) (- 1 u)))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u))))
3.0ms	n0_i	@	0	(/ (+ (* (sin (+ (neg (* u normAngle)) normAngle)) n0_i) (* (sin (* u normAngle)) n1_i)) (sin normAngle))
2.0ms	n1_i	@	0	(+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* n0_i (* (+ -1/6 (* u 1/6)) (* (- 1 u) (- 1 u)))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u))))
1.0ms	normAngle	@	inf	(* (* normAngle normAngle) (+ (* n0_i (* (+ -1/6 (* u 1/6)) (* (- 1 u) (- 1 u)))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6))))))
1.0ms	n0_i	@	0	(+ (* u n1_i) (+ (* (* normAngle normAngle) (+ (* n0_i (* (+ -1/6 (* u 1/6)) (* (- 1 u) (- 1 u)))) (- (* -1/6 (* n1_i (- (* u (* u u)) u))) (* n0_i (+ -1/6 (* u 1/6)))))) (* n0_i (- 1 u))))

rewrite414.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

3804×	`-lowering-.f32`
3804×	`-lowering-.f64`
1844×	`/-lowering-/.f32`
1844×	`/-lowering-/.f64`
1826×	`pow-lowering-pow.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	43	261
1	274	250
2	2641	250
0	8130	250

Stop Event

1×	iter limit
1×	node limit

Counts

21 → 393

Calls

Call 1

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

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

simplify428.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

6992×	`+-lowering-+.f64`
6992×	`+-lowering-+.f32`
5414×	`-lowering-.f32`
5414×	`-lowering-.f64`
1422×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	928	11871
1	3335	11252
0	8646	11252

Stop Event

1×	iter limit
1×	node limit

Counts

648 → 648

Calls

Call 1

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

Outputs
n0_i
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))))
(+.f32 n0_i (.f32 u (+.f32 n1_i (+.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))) n0_i) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 u (*.f32 normAngle normAngle))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))))
(+.f32 n0_i (.f32 u (+.f32 (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))) (.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32))))))))
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))))
(.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u u))) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i)))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (+.f32 (/.f32 n1_i (.f32 u u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u)))))) (/.f32 n0_i (.f32 u u))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n0_i (pow u 3)) (+ (/ n1_i (pow u 2)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (+.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (+.f32 (/.f32 n1_i (.f32 u u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u)))))) (/.f32 n0_i (.f32 u (.f32 u u)))) (/.f32 n0_i (.f32 u u))))
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))
(neg.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u u))) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))))
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32))))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i n1_i) (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (/.f32 n0_i u))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))
(+.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) (.f32 n1_i (+.f32 u (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))
(+.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) (.f32 n1_i (+.f32 u (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))
(+.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) (.f32 n1_i (+.f32 u (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(.f32 n1_i (+.f32 u (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))))
(.f32 n1_i (+.f32 u (+.f32 (.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))))
(.f32 n1_i (+.f32 u (+.f32 (.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))))
(.f32 n1_i (+.f32 u (+.f32 (.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) u))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(neg.f32 (.f32 n1_i (-.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)) u)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(neg.f32 (.f32 n1_i (-.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)) u)))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(neg.f32 (.f32 n1_i (-.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)) u)))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+.f32 (.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 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (+.f32 (/.f32 (.f32 u n1_i) (.f32 normAngle normAngle)) (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (+.f32 (/.f32 (.f32 u n1_i) (.f32 normAngle normAngle)) (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (+.f32 (/.f32 (.f32 u n1_i) (.f32 normAngle normAngle)) (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (+.f32 (/.f32 (.f32 u n1_i) (.f32 normAngle normAngle)) (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (+.f32 (/.f32 (.f32 u n1_i) (.f32 normAngle normAngle)) (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2))))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (+.f32 (/.f32 (.f32 u n1_i) (.f32 normAngle normAngle)) (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle))))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u))
(+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u)))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) (.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32))))) (-.f32 #s(literal 1 binary32) u))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u)))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) (.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32))))) (-.f32 #s(literal 1 binary32) u))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)) (* n1_i u)))
(+.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) (.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32))))) (-.f32 #s(literal 1 binary32) u))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u))
(.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u))
(.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32))))) (+.f32 (/.f32 (.f32 u n1_i) n0_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i))) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u))
(.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32))))) (+.f32 (/.f32 (.f32 u n1_i) n0_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i))) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (+ (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))) (/ (* n1_i u) n0_i)))) u))
(.f32 n0_i (+.f32 #s(literal 1 binary32) (-.f32 (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32))))) (+.f32 (/.f32 (.f32 u n1_i) n0_i) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i))) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))
(neg.f32 (.f32 n0_i (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))
(.f32 (neg.f32 n0_i) (-.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))
(.f32 (neg.f32 n0_i) (-.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n1_i u)) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))
(.f32 (neg.f32 n0_i) (-.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- 1 u))
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle)))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle)))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle)))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle)))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle)))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (+ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (/ (* n0_i (- 1 u)) (pow normAngle 2)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle)))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (*.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (-.f32 #s(literal 1 binary32) u))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (-.f32 #s(literal 1 binary32) u))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u)))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (-.f32 #s(literal 1 binary32) u))))
(* n0_i (- (+ 1 (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))) u))
(.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))) (-.f32 #s(literal 1 binary32) u)))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u))
(.f32 n0_i (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32)))))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)) u))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u))
(.f32 n0_i (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32)))))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)) u))
(* n0_i (- (+ 1 (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))) u))
(.f32 n0_i (-.f32 (+.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32)))))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)) u))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))
(neg.f32 (.f32 n0_i (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) u))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))
(.f32 (neg.f32 n0_i) (+.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.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 #s(literal 1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))
(.f32 (neg.f32 n0_i) (+.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.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 #s(literal 1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i)))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))))
(.f32 (neg.f32 n0_i) (+.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.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 #s(literal 1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i)))
n0_i
(+ n0_i (* u (+ (* -1 n0_i) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))))
(+.f32 n0_i (.f32 u (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))) n0_i)))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))) n0_i) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 u (*.f32 normAngle normAngle)))))))
(+ n0_i (* u (+ (* -1 n0_i) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))) n0_i) (.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32))))))))
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))))
(.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u u))) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i)))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u))))) (/.f32 n0_i (*.f32 u u))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (+ (/ n0_i (pow u 3)) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))))
(.f32 (.f32 u (.f32 u u)) (-.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (+.f32 (/.f32 n0_i (.f32 u (.f32 u u))) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u)))))) (/.f32 n0_i (*.f32 u u))))
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))
(neg.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u u))) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))))
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32))))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) (/.f32 (+.f32 n0_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 (/ n0_i u)) (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i (/.f32 n0_i u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))))
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))
(.f32 n1_i (+.f32 (.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i))))
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))
(.f32 n1_i (+.f32 (.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i))))
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (/ (* n0_i (- 1 u)) n1_i) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i))))
(.f32 n1_i (+.f32 (.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i))))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))
(* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)))
(* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)))
(* -1 (* n1_i (+ (* -1 (/ (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))
(+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))))
(* n0_i (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))
(.f32 (.f32 n0_i (.f32 normAngle normAngle)) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32)))))
(* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))
(.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32))))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)))
(* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))
(.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32))))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)))
(* n0_i (+ (* -1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))))
(.f32 n0_i (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (.f32 u #s(literal -1/6 binary32))))) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))) n0_i)))
(* -1 (* n0_i (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6))))))
(.f32 (neg.f32 (.f32 n0_i (.f32 normAngle normAngle))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))))
(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))
(.f32 (neg.f32 n0_i) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i)))
(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))
(.f32 (neg.f32 n0_i) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i)))
(* -1 (* n0_i (+ (* 1/6 (/ (* n1_i (* (pow normAngle 2) (- (pow u 3) u))) n0_i)) (* (pow normAngle 2) (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))))
(.f32 (neg.f32 n0_i) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i)))
(* (pow normAngle 2) (* u (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))))
(.f32 (.f32 u (.f32 normAngle normAngle)) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))
(* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))
(.f32 u (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 u (*.f32 normAngle normAngle))))))
(* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))
(.f32 u (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(* u (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* (pow normAngle 2) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i)))))) (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))))
(.f32 u (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))) (.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (*.f32 n0_i #s(literal -1/2 binary32)))))))
(* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i))))
(.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u u))) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i)))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (.f32 (.f32 normAngle normAngle) (*.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u))))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* (pow normAngle 2) (+ (* -1/6 n1_i) (* 1/6 n0_i))) (/ (* (pow normAngle 2) (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i))) (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u))))))
(* -1 (* (pow normAngle 2) (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))
(neg.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u u))) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))))
(* -1 (* (pow u 3) (+ (* 1/2 (/ (* n0_i (pow normAngle 2)) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (+.f32 (.f32 #s(literal 1/2 binary32) (/.f32 (.f32 n0_i (.f32 normAngle normAngle)) u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32))))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) (/.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (* (pow normAngle 2) (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* (pow normAngle 2) (+ (* -1/6 n0_i) (* 1/6 n1_i))))))
(.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) (/.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))))
(.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))))
(+ (* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u)))) (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))))
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))
(.f32 n1_i (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i)))
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))
(.f32 n1_i (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i)))
(* n1_i (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)))
(.f32 n1_i (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i)))
(* -1/6 (* n1_i (* (pow normAngle 2) (- (pow u 3) u))))
(.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))
(* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(neg.f32 (.f32 n1_i (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i))))
(* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(neg.f32 (.f32 n1_i (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i))))
(* -1 (* n1_i (+ (* -1 (/ (* (pow normAngle 2) (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))) n1_i)) (* 1/6 (* (pow normAngle 2) (- (pow u 3) u))))))
(neg.f32 (.f32 n1_i (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i))))
(* -1/6 (* n1_i (- (pow u 3) u)))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))
(+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))
(+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u))))
(+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32))))))
(* n0_i (- (+ 1/6 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 u)))
(.f32 n0_i (+.f32 #s(literal 1/6 binary32) (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 u #s(literal -1/6 binary32)))))
(* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u)))
(.f32 n0_i (+.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) n0_i)) (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32)))))
(* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u)))
(.f32 n0_i (+.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) n0_i)) (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32)))))
(* n0_i (- (+ 1/6 (+ (* -1/6 (/ (* n1_i (- (pow u 3) u)) n0_i)) (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* 1/6 u)))
(.f32 n0_i (+.f32 (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) n0_i)) (+.f32 #s(literal 1/6 binary32) (*.f32 u #s(literal -1/6 binary32)))))
(* -1 (* n0_i (- (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* -1 (- (* 1/6 u) 1/6)))))
(.f32 (neg.f32 n0_i) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))))
(* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6)))))
(neg.f32 (.f32 n0_i (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))))))
(* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6)))))
(neg.f32 (.f32 n0_i (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))))))
(* -1 (* n0_i (- (+ (* -1 (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* 1/6 (/ (* n1_i (- (pow u 3) u)) n0_i))) (* -1 (- (* 1/6 u) 1/6)))))
(neg.f32 (.f32 n0_i (+.f32 (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) n0_i) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))))))
(* u (- (+ (* 1/6 n1_i) (* 1/2 n0_i)) (* 1/6 n0_i)))
(.f32 u (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))
(* u (- (+ (* -1/2 (* n0_i u)) (+ (* 1/6 n1_i) (* 1/2 n0_i))) (* 1/6 n0_i)))
(.f32 u (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i u)) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))
(* u (- (+ (* 1/6 n1_i) (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i))))))) (* 1/6 n0_i)))
(.f32 u (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (+.f32 (+.f32 (.f32 n0_i #s(literal 1/2 binary32)) (.f32 u (+.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (.f32 n0_i #s(literal -1/2 binary32))))) (.f32 n0_i #s(literal -1/6 binary32)))))
(* u (- (+ (* 1/6 n1_i) (+ (* 1/2 n0_i) (* u (+ (* -1/2 n0_i) (* u (+ (* -1/6 n1_i) (* 1/6 n0_i))))))) (* 1/6 n0_i)))
(.f32 u (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (+.f32 (+.f32 (.f32 n0_i #s(literal 1/2 binary32)) (.f32 u (+.f32 (.f32 u (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) (.f32 n0_i #s(literal -1/2 binary32))))) (.f32 n0_i #s(literal -1/6 binary32)))))
(* (pow u 3) (+ (* -1/6 n1_i) (* 1/6 n0_i)))
(.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (.f32 u (.f32 u u)))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (* 1/6 n0_i))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (*.f32 n0_i #s(literal -1/2 binary32)) u)))
(* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (+ (* 1/6 (/ n1_i (pow u 2))) (* 1/2 (/ n0_i (pow u 2))))))) (* 1/6 (/ n0_i (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 (.f32 n0_i #s(literal -1/2 binary32)) u) (+.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 n1_i (.f32 u u))) (/.f32 (.f32 n0_i #s(literal 1/2 binary32)) (.f32 u u)))) (/.f32 (.f32 n0_i #s(literal -1/6 binary32)) (*.f32 u u)))))
(* (pow u 3) (- (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 n1_i) (+ (* 1/6 n0_i) (+ (* 1/6 (/ n1_i (pow u 2))) (* 1/2 (/ n0_i (pow u 2))))))) (* 1/6 (/ n0_i (pow u 2)))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 (.f32 n0_i #s(literal -1/2 binary32)) u) (+.f32 (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (+.f32 (.f32 #s(literal 1/6 binary32) (/.f32 n1_i (.f32 u u))) (/.f32 (.f32 n0_i #s(literal 1/2 binary32)) (.f32 u u)))) (/.f32 (.f32 n0_i #s(literal -1/6 binary32)) (*.f32 u u)))))
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (* 1/6 n1_i))))
(neg.f32 (.f32 (.f32 u (.f32 u u)) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal -1/6 binary32)))))
(* -1 (* (pow u 3) (+ (* -1/6 n0_i) (+ (* 1/6 n1_i) (* 1/2 (/ n0_i u))))))
(.f32 (+.f32 (.f32 n0_i #s(literal -1/6 binary32)) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (/.f32 (.f32 n0_i #s(literal 1/2 binary32)) u))) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))
(.f32 (-.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (-.f32 (.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* -1/2 n0_i) (* -1/6 n1_i)) (* -1/6 n0_i)) u)) (* -1/2 n0_i)) u)) (+ (* -1/6 n0_i) (* 1/6 n1_i)))))
(.f32 (-.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32))) (/.f32 (-.f32 (.f32 n0_i #s(literal -1/2 binary32)) (/.f32 (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6)))
(.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))
(- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))
(+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))
(- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))
(+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))
(- (+ (* -1/6 (* n1_i (- (pow u 3) u))) (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6)))) (* n0_i (- (* 1/6 u) 1/6)))
(+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))
(* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i)))
(.f32 n1_i (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))
(* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i)))
(.f32 n1_i (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))
(* n1_i (- (+ (* -1/6 (- (pow u 3) u)) (/ (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) n1_i)) (/ (* n0_i (- (* 1/6 u) 1/6)) n1_i)))
(.f32 n1_i (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))
(* -1/6 (* n1_i (- (pow u 3) u)))
(.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))
(* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u)))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 #s(literal 1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))
(* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u)))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 #s(literal 1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))
(* -1 (* n1_i (+ (* -1 (/ (- (* n0_i (* (pow (- 1 u) 2) (- (* 1/6 u) 1/6))) (* n0_i (- (* 1/6 u) 1/6))) n1_i)) (* 1/6 (- (pow u 3) u)))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 #s(literal 1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)) n1_i)))
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(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle))) (.f32 u u))) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 (.f32 u u) (+.f32 (/.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle))) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (.f32 (.f32 u u) (pow.f32 normAngle #s(literal 5 binary32)))) (sin.f32 normAngle))))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
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(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
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(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
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(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))
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(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
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(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(.f32 u (+.f32 normAngle (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 u u))))
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(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
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(sin (* normAngle u))
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(sin (* normAngle u))
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(sin (* normAngle u))
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(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
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(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
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(sin (* normAngle u))
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(sin (* normAngle u))
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(sin (* normAngle u))
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(/ n1_i (sin normAngle))
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(/ n1_i (sin normAngle))
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(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 n1_i #s(literal 7/360 binary32))) (.f32 n1_i #s(literal 1/6 binary32))))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/.f32 (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/840 binary32)) (.f32 #s(literal 1/6 binary32) (.f32 n1_i #s(literal -7/360 binary32)))) (.f32 #s(literal -1 binary32) (.f32 normAngle normAngle))) (.f32 n1_i #s(literal 7/360 binary32)))) (.f32 n1_i #s(literal 1/6 binary32))))) normAngle)
(/ n1_i (sin normAngle))
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(/.f32 n1_i (sin.f32 normAngle))
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(/ n1_i (sin normAngle))
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(/.f32 n1_i (sin.f32 normAngle))
(/ n1_i (sin normAngle))
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(/ n1_i (sin normAngle))
(/.f32 n1_i (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
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n0_i
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i))))
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(.f32 n0_i (+.f32 #s(literal 1 binary32) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i))))
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n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
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(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(.f32 (neg.f32 n0_i) (+.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i))) #s(literal -1 binary32)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(.f32 (neg.f32 n0_i) (+.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i))) #s(literal -1 binary32)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
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(+.f32 n0_i (.f32 u (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle))) (.f32 u u))) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)))))
(+ n0_i (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))))
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(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
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n0_i
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
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(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
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(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(.f32 (neg.f32 n1_i) (-.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(.f32 (neg.f32 n1_i) (-.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(.f32 (neg.f32 n1_i) (-.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle))) (.f32 u u))) (sin.f32 normAngle)) (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 (.f32 u u) (+.f32 (/.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle))) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (.f32 (.f32 u u) (pow.f32 normAngle #s(literal 5 binary32)))) (sin.f32 normAngle))))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 u (+.f32 (/.f32 (.f32 n1_i normAngle) (sin.f32 normAngle)) (.f32 (.f32 u u) (+.f32 (/.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle))) (sin.f32 normAngle)) (.f32 (.f32 u u) (+.f32 (/.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32))) (.f32 u u))) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* n1_i u)
(*.f32 u n1_i)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (+.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) (.f32 #s(literal -1/120 binary32) (.f32 u n1_i)))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))))
(+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u)))))
(+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (-.f32 (.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (.f32 n1_i #s(literal -1/5040 binary32)) (pow.f32 u #s(literal 7 binary32))) (+.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (+.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal 1/6 binary32) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) (.f32 #s(literal -1/120 binary32) (.f32 u n1_i)))) (+.f32 (.f32 (.f32 u n1_i) #s(literal -1/5040 binary32)) (.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) #s(literal 1/120 binary32)))))) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (.f32 (.f32 u n1_i) #s(literal 1/120 binary32)))))) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(/ (* normAngle u) (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 (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 u u)) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))
(.f32 u (+.f32 (/.f32 normAngle (sin.f32 normAngle)) (.f32 (.f32 u u) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (sin.f32 normAngle)) (.f32 #s(literal 1/120 binary32) (/.f32 (.f32 (*.f32 u u) (pow.f32 normAngle #s(literal 5 binary32))) (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 (+.f32 (/.f32 normAngle (sin.f32 normAngle)) (.f32 (.f32 u u) (+.f32 (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (sin.f32 normAngle)) (.f32 (.f32 u u) (+.f32 (/.f32 (.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 normAngle #s(literal 7 binary32))) (.f32 u u)) (sin.f32 normAngle)) (/.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (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))))
(+.f32 u (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32))))))
(+ 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))))
(+.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (+.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal 1/6 binary32) (.f32 #s(literal -1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) (.f32 #s(literal -1/120 binary32) u))) (.f32 #s(literal -1/6 binary32) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))))
(+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))
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(/ (sin (* normAngle u)) (sin normAngle))
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(/ (sin (* normAngle u)) (sin normAngle))
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(/ (sin (* normAngle u)) (sin normAngle))
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n0_i
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(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
(/.f32 (+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
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(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
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(/ (+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
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(/ (+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u)))) (sin normAngle))
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(/.f32 (+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
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(/.f32 (+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))) (sin.f32 normAngle))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(+ (/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
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(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i)) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(* n0_i (+ (/ (sin (- normAngle (* normAngle u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(.f32 n0_i (+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i)) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
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(.f32 n0_i (+.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i)) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
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(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(.f32 (neg.f32 n0_i) (-.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(.f32 (neg.f32 n0_i) (-.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(* -1 (* n0_i (+ (* -1 (/ (sin (- normAngle (* normAngle u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(.f32 (neg.f32 n0_i) (-.f32 (neg.f32 (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 n1_i n0_i))) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(/ (* n0_i (sin (- normAngle (* normAngle u)))) (sin normAngle))
(.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle)))
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(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle))))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle)))))
(.f32 n1_i (+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (.f32 n0_i (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (*.f32 n1_i (sin.f32 normAngle))))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 n1_i) (-.f32 (.f32 (neg.f32 n0_i) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (sin.f32 normAngle)))) (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))))
(* n0_i (sin normAngle))
(*.f32 n0_i (sin.f32 normAngle))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* n1_i normAngle))))
(+.f32 (.f32 n0_i (sin.f32 normAngle)) (.f32 u (-.f32 (.f32 n1_i normAngle) (.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))) (* n1_i normAngle)))))
(+.f32 (.f32 n0_i (sin.f32 normAngle)) (.f32 u (+.f32 (-.f32 (.f32 n1_i normAngle) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 #s(literal -1/2 binary32) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 u (sin.f32 normAngle)))))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (+ (* n1_i normAngle) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* u (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/6 (* n0_i (* (pow normAngle 3) (cos normAngle))))))))))))
(+.f32 (.f32 n0_i (sin.f32 normAngle)) (.f32 u (+.f32 (-.f32 (.f32 n1_i normAngle) (.f32 n0_i (.f32 normAngle (cos.f32 normAngle)))) (.f32 u (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (sin.f32 normAngle))) (.f32 u (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 n0_i #s(literal 1/6 binary32)) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (cos.f32 normAngle))))))))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(* normAngle (+ (* n0_i (- 1 u)) (* n1_i u)))
(.f32 normAngle (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i)))
(* normAngle (+ (* 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))))))))
(.f32 normAngle (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 n1_i (.f32 u (.f32 u u))) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))))))))
(* normAngle (+ (* 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)))))))))))
(.f32 normAngle (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 n1_i (.f32 u (.f32 u u))) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/120 binary32) (+.f32 (.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)))))))))))
(* normAngle (+ (* 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))))))))))))))
(.f32 normAngle (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (+.f32 (.f32 n1_i (.f32 u (.f32 u u))) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal 1/120 binary32) (+.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))))) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/5040 binary32) (+.f32 (.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)))))))))))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u))))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (+ (sin (- normAngle (* normAngle u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))
(.f32 n0_i (+.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) n0_i)))
(* n0_i (+ (sin (- normAngle (* normAngle u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))
(.f32 n0_i (+.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) n0_i)))
(* n0_i (+ (sin (- normAngle (* normAngle u))) (/ (* n1_i (sin (* normAngle u))) n0_i)))
(.f32 n0_i (+.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) n0_i)))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* -1 (* n0_i (+ (* -1 (sin (- normAngle (* normAngle u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))
(.f32 (neg.f32 n0_i) (-.f32 (neg.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) n0_i)))
(* -1 (* n0_i (+ (* -1 (sin (- normAngle (* normAngle u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))
(.f32 (neg.f32 n0_i) (-.f32 (neg.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) n0_i)))
(* -1 (* n0_i (+ (* -1 (sin (- normAngle (* normAngle u)))) (* -1 (/ (* n1_i (sin (* normAngle u))) n0_i)))))
(.f32 (neg.f32 n0_i) (-.f32 (neg.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) n0_i)))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(+ (* n0_i (sin (- normAngle (* normAngle u)))) (* n1_i (sin (* normAngle u))))
(+.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))
(.f32 n1_i (+.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))
(.f32 n1_i (+.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))
(* n1_i (+ (sin (* normAngle u)) (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))
(.f32 n1_i (+.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))))
(.f32 (neg.f32 n1_i) (-.f32 (neg.f32 (sin.f32 (.f32 u normAngle))) (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))))
(.f32 (neg.f32 n1_i) (-.f32 (neg.f32 (sin.f32 (.f32 u normAngle))) (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))
(* -1 (* n1_i (+ (* -1 (sin (* normAngle u))) (* -1 (/ (* n0_i (sin (- normAngle (* normAngle u)))) n1_i)))))
(.f32 (neg.f32 n1_i) (-.f32 (neg.f32 (sin.f32 (.f32 u normAngle))) (/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) n1_i)))
(* n0_i (sin normAngle))
(*.f32 n0_i (sin.f32 normAngle))
(+ (* -1 (* n0_i (* normAngle (* u (cos normAngle))))) (* n0_i (sin normAngle)))
(-.f32 (.f32 n0_i (sin.f32 normAngle)) (.f32 (.f32 n0_i normAngle) (.f32 u (cos.f32 normAngle))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* -1/2 (* n0_i (* (pow normAngle 2) (* u (sin normAngle))))))))
(+.f32 (.f32 n0_i (sin.f32 normAngle)) (.f32 u (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 u (sin.f32 normAngle)))) (.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))))
(+ (* n0_i (sin normAngle)) (* u (+ (* -1 (* n0_i (* normAngle (cos normAngle)))) (* u (+ (* -1/2 (* n0_i (* (pow normAngle 2) (sin normAngle)))) (* 1/6 (* n0_i (* (pow normAngle 3) (* u (cos normAngle))))))))))
(+.f32 (.f32 n0_i (sin.f32 normAngle)) (.f32 u (-.f32 (.f32 u (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (sin.f32 normAngle))) (.f32 (.f32 n0_i #s(literal 1/6 binary32)) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) u) (cos.f32 normAngle))))) (.f32 n0_i (*.f32 normAngle (cos.f32 normAngle))))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (* normAngle (- 1 u)))
(.f32 n0_i (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(* normAngle (+ (* -1/6 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 3)))) (* n0_i (- 1 u))))
(.f32 normAngle (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))))
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* 1/120 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 5))))))))
(.f32 normAngle (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (.f32 (.f32 #s(literal 1/120 binary32) n0_i) (.f32 (.f32 normAngle normAngle) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))))))
(* normAngle (+ (* n0_i (- 1 u)) (* (pow normAngle 2) (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n0_i (* (pow normAngle 2) (pow (- 1 u) 7)))) (* 1/120 (* n0_i (pow (- 1 u) 5)))))))))
(.f32 normAngle (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (.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)))) (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 n0_i (.f32 normAngle normAngle)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))))))))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (neg (+ (* -1 normAngle) (* normAngle u)))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(* n0_i (sin (- normAngle (* normAngle u))))
(.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))))
(sin normAngle)
(sin.f32 normAngle)
(+ (sin normAngle) (* -1 (* normAngle (* u (cos normAngle)))))
(-.f32 (sin.f32 normAngle) (.f32 (.f32 u normAngle) (cos.f32 normAngle)))
(+ (sin normAngle) (* u (+ (* -1 (* normAngle (cos normAngle))) (* -1/2 (* (pow normAngle 2) (* u (sin normAngle)))))))
(+.f32 (sin.f32 normAngle) (.f32 u (-.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (.f32 u (sin.f32 normAngle))) (.f32 normAngle (cos.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)))))))))
(+.f32 (sin.f32 normAngle) (.f32 u (-.f32 (.f32 u (+.f32 (.f32 (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle)) (sin.f32 normAngle)) (.f32 (.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 u (cos.f32 normAngle))))) (*.f32 normAngle (cos.f32 normAngle)))))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(* normAngle (- 1 u))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(* normAngle (- (+ 1 (* -1/6 (* (pow normAngle 2) (pow (- 1 u) 3)))) u))
(.f32 normAngle (+.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 #s(literal 1 binary32) u)))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* 1/120 (* (pow normAngle 2) (pow (- 1 u) 5)))))) u))
(.f32 normAngle (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (.f32 (.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))))) u)))
(* normAngle (- (+ 1 (* (pow normAngle 2) (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow (- 1 u) 7))) (* 1/120 (pow (- 1 u) 5))))))) u))
(.f32 normAngle (+.f32 #s(literal 1 binary32) (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 (.f32 normAngle normAngle) #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))))))) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (- normAngle (* normAngle u)))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (neg (+ (* -1 normAngle) (* normAngle u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (neg (+ (* -1 normAngle) (* normAngle u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (neg (+ (* -1 normAngle) (* normAngle u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
(sin (neg (+ (* -1 normAngle) (* normAngle u))))
(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
1
#s(literal 1 binary32)
(+ 1 (* -2 u))
(+.f32 #s(literal 1 binary32) (*.f32 u #s(literal -2 binary32)))
(+ 1 (* u (- u 2)))
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal -2 binary32))))
(+ 1 (* u (- u 2)))
(+.f32 #s(literal 1 binary32) (*.f32 u (+.f32 u #s(literal -2 binary32))))
(pow u 2)
(*.f32 u u)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(.f32 (.f32 u u) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) u)))
(* (pow u 2) (- (+ 1 (/ 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
#s(literal -1/6 binary32)
(- (* 1/2 u) 1/6)
(+.f32 (*.f32 u #s(literal 1/2 binary32)) #s(literal -1/6 binary32))
(- (* u (+ 1/2 (* -1/2 u))) 1/6)
(+.f32 (.f32 u (+.f32 #s(literal 1/2 binary32) (.f32 u #s(literal -1/2 binary32)))) #s(literal -1/6 binary32))
(- (* u (+ 1/2 (* u (- (* 1/6 u) 1/2)))) 1/6)
(+.f32 (.f32 u (+.f32 #s(literal 1/2 binary32) (.f32 u (+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/2 binary32))))) #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 (* 1/2 (/ 1 u))))
(.f32 (.f32 u (*.f32 u u)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/2 binary32) u)))
(* (pow u 3) (- (+ 1/6 (/ 1/2 (pow u 2))) (* 1/2 (/ 1 u))))
(.f32 (.f32 u (.f32 u u)) (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u u)) (+.f32 #s(literal 1/6 binary32) (/.f32 #s(literal -1/2 binary32) u))))
(* (pow u 3) (- (+ 1/6 (/ 1/2 (pow u 2))) (+ (* 1/2 (/ 1 u)) (* 1/6 (/ 1 (pow u 3))))))
(.f32 (.f32 u (.f32 u u)) (+.f32 #s(literal 1/6 binary32) (-.f32 (/.f32 #s(literal 1/2 binary32) (.f32 u u)) (+.f32 (/.f32 #s(literal 1/2 binary32) u) (/.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u u)))))))
(* 1/6 (pow u 3))
(.f32 #s(literal 1/6 binary32) (.f32 u (*.f32 u u)))
(* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6)))
(neg.f32 (.f32 (.f32 u (*.f32 u u)) (+.f32 (/.f32 #s(literal 1/2 binary32) u) #s(literal -1/6 binary32))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/2 (/ 1 u)) 1/2) u)) 1/6)))
(.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/2 binary32) u) #s(literal 1/2 binary32)) u) #s(literal -1/6 binary32)) (neg.f32 (.f32 u (*.f32 u u))))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* -1 (/ (- (* 1/6 (/ 1 u)) 1/2) u)) 1/2) u)) 1/6)))
(.f32 (+.f32 (/.f32 (+.f32 (/.f32 (+.f32 (/.f32 #s(literal -1/6 binary32) u) #s(literal 1/2 binary32)) u) #s(literal -1/2 binary32)) (neg.f32 u)) #s(literal -1/6 binary32)) (neg.f32 (.f32 u (*.f32 u u))))
-1/6
#s(literal -1/6 binary32)
(- (* 1/6 u) 1/6)
(+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))
(- (* 1/6 u) 1/6)
(+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))
(- (* 1/6 u) 1/6)
(+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))
(* 1/6 u)
(*.f32 u #s(literal 1/6 binary32))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(*.f32 u (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) u)))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(*.f32 u (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) u)))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(*.f32 u (-.f32 #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) u)))
(* 1/6 u)
(*.f32 u #s(literal 1/6 binary32))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)) (neg.f32 u))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)) (neg.f32 u))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(*.f32 (+.f32 (/.f32 #s(literal 1/6 binary32) u) #s(literal -1/6 binary32)) (neg.f32 u))
normAngle
(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
(.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
(.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))
(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(/ 1 normAngle)
(/.f32 #s(literal 1 binary32) normAngle)
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32))) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) #s(literal 7/360 binary32))))) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)
(/.f32 (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/6 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 7/360 binary32) (.f32 (.f32 normAngle normAngle) #s(literal 31/15120 binary32))))))) normAngle)
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(/ 1 (sin normAngle))
(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
(* n1_i (* normAngle u))
(.f32 n1_i (.f32 u normAngle))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle)))
(.f32 u (+.f32 (.f32 n1_i normAngle) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle (.f32 normAngle normAngle))) (.f32 u u)))))
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2))))))))
(.f32 u (+.f32 (.f32 n1_i normAngle) (.f32 (.f32 u u) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (.f32 (.f32 u u) (pow.f32 normAngle #s(literal 5 binary32))))))))
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5)))))))))
(.f32 u (+.f32 (.f32 n1_i normAngle) (.f32 (.f32 u u) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle))) (.f32 (.f32 u u) (+.f32 (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32))) (.f32 u u))) (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 normAngle #s(literal 5 binary32)))))))))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (* normAngle u))
(.f32 n1_i (.f32 u normAngle))
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u)))
(.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 u (.f32 u u))))))
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5))))))))
(.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (.f32 u u)))) (.f32 #s(literal 1/120 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (pow.f32 u #s(literal 5 binary32))))))))
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5)))))))))
(.f32 normAngle (+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (.f32 u (.f32 u u)))) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 n1_i #s(literal 1/120 binary32)) (pow.f32 u #s(literal 5 binary32))) (.f32 #s(literal -1/5040 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (pow.f32 u #s(literal 7 binary32))))))))))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 u normAngle)))

eval133.0ms (1%)

Compiler: Compiled 62816 to 3124 computations (95% saved)

prune168.0ms (1.2%)

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1218	25	1243
Fresh	11	3	14
Picked	4	1	5
Done	0	0	0
Total	1233	29	1262

Accuracy

100.0%

Counts

1262 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.4%	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 u (.f32 normAngle n1_i))) (sin.f32 normAngle))
	29.6%	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	29.9%	(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
	46.7%	(/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
	98.6%	(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u #s(literal -2 binary32))))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
	97.2%	(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u u)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
	98.4%	(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
	98.5%	(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i u)) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
	46.4%	(+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle)))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))))
	97.8%	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	82.6%	(+.f32 (*.f32 u n1_i) n0_i)
▶	61.5%	(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
▶	82.6%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	83.1%	(+.f32 n0_i (.f32 (+.f32 u (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) n1_i))
	82.5%	(+.f32 n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) n1_i))
▶	98.8%	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))
	97.4%	(.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i n1_i) (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (/.f32 n0_i u))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
	35.8%	(.f32 (.f32 u (+.f32 normAngle (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (sin.f32 normAngle)))
	34.1%	(.f32 (.f32 u (.f32 u u)) (-.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (+.f32 (/.f32 n1_i (.f32 u u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u)))))) (/.f32 n0_i (.f32 u u))))
	35.7%	(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
	35.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))))
	35.7%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))))
	35.4%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
▶	98.4%	(.f32 (neg.f32 n0_i) (-.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u)))
▶	35.9%	(*.f32 u n1_i)
	98.2%	(.f32 n1_i (+.f32 u (+.f32 (.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i)))))
	36.3%	(.f32 n1_i (+.f32 u (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))))
	98.3%	(neg.f32 (.f32 n1_i (-.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)) u)))
✓	50.7%	n0_i

Compiler

Compiled 1673 to 1008 computations (39.7% saved)

simplify225.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 u normAngle)
✓	cost-diff	0	(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
✓	cost-diff	0	(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)
✓	cost-diff	0	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
✓	cost-diff	96	(.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))))
✓	cost-diff	160	(-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) n0_i))
✓	cost-diff	160	(-.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u))
✓	cost-diff	192	(.f32 (neg.f32 n0_i) (-.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 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	32	(-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)
✓	cost-diff	64	(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
✓	cost-diff	0	(*.f32 u n1_i)
✓	cost-diff	0	(-.f32 n1_i n0_i)
✓	cost-diff	0	(+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))))
✓	cost-diff	0	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))
✓	cost-diff	0	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))

Rules

3948×	`-lowering-.f32`
3948×	`-lowering-.f64`
3574×	`+-lowering-+.f64`
3574×	`+-lowering-+.f32`
1254×	`--lowering--.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	506
1	161	501
2	694	485
3	3691	472
0	8175	472

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize303.0ms (2.2%)

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f32 normAngle)
✓	accuracy	100.0%	(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)
✓	accuracy	99.8%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
✓	accuracy	95.4%	(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
✓	accuracy	99.0%	(.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))
✓	accuracy	98.7%	(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
✓	accuracy	95.2%	(/.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)
✓	accuracy	58.2%	(+.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32))
✓	accuracy	99.0%	(.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))
✓	accuracy	99.0%	(+.f32 (*.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))
✓	accuracy	98.7%	(*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))
✓	accuracy	62.6%	(-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	99.7%	(.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))))
✓	accuracy	99.6%	(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))
✓	accuracy	99.1%	(*.f32 n0_i #s(literal 1/3 binary32))
✓	accuracy	99.0%	(*.f32 n1_i #s(literal 1/6 binary32))

Results

193.0ms	253×	0	valid
6.0ms	3×	5	exit

Compiler

Compiled 560 to 51 computations (90.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 131.0ms

ival-mult: 46.0ms (35.1% of total)

ival-add: 35.0ms (26.7% of total)

ival-sin: 24.0ms (18.3% of total)

...c/correct-round.rkt:119:19: 11.0ms (8.4% of total)

ival-sub: 7.0ms (5.3% of total)

ival-div: 4.0ms (3.1% of total)

ival-neg: 3.0ms (2.3% of total)

backward-pass: 2.0ms (1.5% of total)

const: 1.0ms (0.8% of total)

series116.0ms (0.8%)

Counts

27 → 768

Calls

Call 1

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

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

Calls

192 calls:

Time	Variable		Point	Expression
23.0ms	u	@	inf	(- (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (neg (* (- 1 u) (- 1 u))) 1))) (/ (+ (* u n1_i) (* -1/6 (* (* n1_i (* normAngle normAngle)) (* u (+ (* u u) -1))))) n0_i))
13.0ms	normAngle	@	0	(+ (* n0_i (- 1 u)) (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (- (* n0_i (* (- 1 u) (- 1 u))) n0_i))))
4.0ms	u	@	0	(/ (+ (* u n1_i) (* -1/6 (* (* n1_i (* normAngle normAngle)) (* u (+ (* u u) -1))))) n0_i)
2.0ms	u	@	inf	(* u (+ (- n1_i n0_i) (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))))
2.0ms	n0_i	@	0	(* (neg n0_i) (- (- (* (* normAngle normAngle) (* (+ (* u 1/6) -1/6) (+ (neg (* (- 1 u) (- 1 u))) 1))) (/ (+ (* u n1_i) (* -1/6 (* (* n1_i (* normAngle normAngle)) (* u (+ (* u u) -1))))) n0_i)) (- 1 u)))

rewrite342.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

4158×	`-lowering-.f32`
4158×	`-lowering-.f64`
1734×	`pow-lowering-pow.f64`
1734×	`pow-lowering-pow.f32`
1556×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	335
1	339	324
2	3694	318
0	8159	318

Stop Event

1×	iter limit
1×	node limit

Counts

27 → 472

Calls

Call 1

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

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

simplify423.0ms (3%)

Algorithm

1×	egg-herbie

Rules

5588×	`+-lowering-+.f64`
5588×	`+-lowering-+.f32`
5460×	`-lowering-.f32`
5460×	`-lowering-.f64`
1364×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	816	13187
1	3010	12595
0	8187	12595

Stop Event

1×	iter limit
1×	node limit

Counts

768 → 768

Calls

Call 1

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

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

eval173.0ms (1.2%)

Compiler: Compiled 62671 to 3957 computations (93.7% saved)

prune198.0ms (1.4%)

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1456	24	1480
Fresh	11	12	23
Picked	3	2	5
Done	0	1	1
Total	1470	39	1509

Accuracy

100.0%

Counts

1509 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	72.4%	(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 u (.f32 normAngle n1_i))) (sin.f32 normAngle))
	29.6%	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	29.9%	(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
	46.7%	(/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
▶	98.8%	(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))))
	83.3%	(+.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 u n1_i) #s(literal 7/360 binary32))) (.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))
	98.5%	(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i u)) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
	97.8%	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	82.6%	(+.f32 (*.f32 u n1_i) n0_i)
	61.4%	(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) n0_i))))
	61.5%	(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (.f32 #s(literal -2 binary32) (*.f32 u n0_i)))))
	61.5%	(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
▶	82.6%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))) n1_i))
	82.4%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))) n1_i))
	82.0%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) n1_i))
✓	82.6%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	81.5%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) normAngle) n1_i))
	83.3%	(+.f32 n0_i (.f32 (+.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 7/360 binary32))) (*.f32 u #s(literal 1/6 binary32))))) n1_i))
	61.7%	(+.f32 n0_i (.f32 (.f32 u n0_i) (+.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
	61.7%	(+.f32 n0_i (.f32 u (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal 1/3 binary32)) (.f32 u (.f32 n0_i #s(literal -1/2 binary32))))) n0_i)))
	98.1%	(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
	98.3%	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 normAngle normAngle) n0_i)))))
	98.6%	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
	83.1%	(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
▶	97.6%	(.f32 (-.f32 u (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u n1_i) n0_i))) (neg.f32 n0_i))
	36.2%	(.f32 (.f32 u (+.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (neg.f32 n1_i))
	35.8%	(.f32 (.f32 u (+.f32 normAngle (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (sin.f32 normAngle)))
	36.2%	(.f32 (.f32 u n1_i) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 normAngle normAngle))))
	25.6%	(.f32 (.f32 n0_i n1_i) (+.f32 (/.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (/.f32 u n0_i)))
	35.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))))
	35.7%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))))
	35.4%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
	30.9%	(.f32 (neg.f32 n0_i) (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (-.f32 (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (/.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) n0_i))) (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 u n1_i) (+.f32 (*.f32 u u) #s(literal -1 binary32))) n0_i)))) (-.f32 #s(literal 1 binary32) u)))
▶	98.3%	(.f32 u (+.f32 (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (/.f32 n0_i u) n0_i)))
	36.2%	(.f32 u (+.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)))))
✓	35.9%	(*.f32 u n1_i)
	36.3%	(.f32 n1_i (+.f32 u (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))))
▶	61.4%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	50.7%	n0_i

Compiler

Compiled 1578 to 1012 computations (35.9% saved)

simplify466.0ms (3.3%)

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 u normAngle)
✓	cost-diff	128	(/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))
✓	cost-diff	128	(.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))) n1_i)
✓	cost-diff	128	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))) n1_i))
✓	cost-diff	0	(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))
✓	cost-diff	0	(+.f32 n1_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))))
✓	cost-diff	0	(+.f32 (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (/.f32 n0_i u) n0_i))
✓	cost-diff	64	(.f32 u (+.f32 (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (/.f32 n0_i u) n0_i)))
✓	cost-diff	0	(/.f32 (*.f32 u n1_i) n0_i)
✓	cost-diff	0	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u n1_i) n0_i))
✓	cost-diff	0	(-.f32 u (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u n1_i) n0_i)))
✓	cost-diff	32	(.f32 (-.f32 u (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u n1_i) n0_i))) (neg.f32 n0_i))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	0	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	cost-diff	0	(-.f32 n1_i n0_i)
✓	cost-diff	0	(*.f32 u (-.f32 n1_i n0_i))
✓	cost-diff	0	(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
✓	cost-diff	64	(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))))

Rules

2706×	`-lowering-.f32`
2706×	`-lowering-.f64`
1606×	`+-lowering-+.f64`
1606×	`+-lowering-+.f32`
1408×	`sum4-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	44	398
1	145	376
2	536	366
3	2216	356
4	6076	355
0	8243	355

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(+ (+ n0_i (* u (- n1_i n0_i))) (* u (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))))
(+ n0_i (* u (- n1_i n0_i)))
n0_i
(* u (- n1_i n0_i))
u
(- n1_i n0_i)
n1_i
(* u (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))
(* normAngle normAngle)
normAngle
(+ (* n1_i 1/6) (* n0_i 1/3))
(* n1_i 1/6)
1/6
(* n0_i 1/3)
1/3
(* n0_i (- 1 u))
n0_i
(- 1 u)
1
u
(* (- u (+ 1 (/ (* u n1_i) n0_i))) (neg n0_i))
(- u (+ 1 (/ (* u n1_i) n0_i)))
u
(+ 1 (/ (* u n1_i) n0_i))
1
(/ (* u n1_i) n0_i)
(* u n1_i)
n1_i
n0_i
(neg n0_i)
(* u (+ (+ n1_i (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- (/ n0_i u) n0_i)))
u
(+ (+ n1_i (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- (/ n0_i u) n0_i))
(+ n1_i (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))
n1_i
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))
(* normAngle normAngle)
normAngle
(+ (* n1_i 1/6) (* n0_i 1/3))
(* n1_i 1/6)
1/6
(* n0_i 1/3)
n0_i
1/3
(- (/ n0_i u) n0_i)
(/ n0_i u)
(+ n0_i (* (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) n1_i))
n0_i
(* (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) n1_i)
(/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))))
(* u normAngle)
u
normAngle
(* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))
(+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))
1
(* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))
(* normAngle normAngle)
(+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)
(* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040)))
(+ 1/120 (* (* normAngle normAngle) -1/5040))
1/120
(* (* normAngle normAngle) -1/5040)
-1/5040
-1/6
n1_i

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

localize233.0ms (1.7%)

Localize:

Found 18 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.7%	(.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))
✓	accuracy	99.5%	(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))
✓	accuracy	99.3%	(.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))
✓	accuracy	95.4%	(/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))
✓	accuracy	99.6%	(.f32 u (+.f32 (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (/.f32 n0_i u) n0_i)))
✓	accuracy	99.3%	(-.f32 (/.f32 n0_i u) n0_i)
✓	accuracy	99.1%	(*.f32 n0_i #s(literal 1/3 binary32))
✓	accuracy	99.0%	(*.f32 n1_i #s(literal 1/6 binary32))
✓	accuracy	99.9%	(+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u n1_i) n0_i))
✓	accuracy	99.7%	(-.f32 u (+.f32 #s(literal 1 binary32) (/.f32 (*.f32 u n1_i) n0_i)))
✓	accuracy	99.3%	(.f32 (-.f32 u (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u n1_i) n0_i))) (neg.f32 n0_i))
✓	accuracy	95.2%	(/.f32 (*.f32 u n1_i) n0_i)
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	99.6%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	accuracy	99.7%	(.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))
✓	accuracy	99.6%	(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))
✓	accuracy	99.1%	(*.f32 n0_i #s(literal 1/3 binary32))
✓	accuracy	99.0%	(*.f32 n1_i #s(literal 1/6 binary32))

Results

156.0ms	255×	0	valid
2.0ms	1×	5	exit

Compiler

Compiled 422 to 45 computations (89.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 74.0ms

ival-mult: 32.0ms (43.4% of total)

...c/correct-round.rkt:119:19: 16.0ms (21.7% of total)

ival-add: 12.0ms (16.3% of total)

ival-div: 6.0ms (8.1% of total)

ival-sub: 5.0ms (6.8% of total)

backward-pass: 1.0ms (1.4% of total)

ival-neg: 1.0ms (1.4% of total)

const: 0.0ms (0% of total)

series55.0ms (0.4%)

Counts

25 → 756

Calls

Call 1

Inputs
#<alt (+ (+ n0_i (* u (- n1_i n0_i))) (* u (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))))>
#<alt (+ n0_i (* u (- n1_i n0_i)))>
#<alt (* u (- n1_i n0_i))>
#<alt (- n1_i n0_i)>
#<alt (* n0_i (- 1 u))>
#<alt (- 1 u)>
#<alt (* (- u (+ 1 (/ (* u n1_i) n0_i))) (neg n0_i))>
#<alt (- u (+ 1 (/ (* u n1_i) n0_i)))>
#<alt (+ 1 (/ (* u n1_i) n0_i))>
#<alt (/ (* u n1_i) n0_i)>
#<alt (* u (+ (+ n1_i (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- (/ n0_i u) n0_i)))>
#<alt (+ (+ n1_i (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- (/ n0_i u) n0_i))>
#<alt (+ n1_i (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))>
#<alt (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))>
#<alt (+ n0_i (* (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) n1_i))>
#<alt (* (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) n1_i)>
#<alt (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))))>
#<alt (* u normAngle)>
#<alt (* n1_i 1/6)>
#<alt (* n0_i 1/3)>
#<alt (* u (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))>
#<alt (- (/ n0_i u) n0_i)>
#<alt (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040)))>
#<alt (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))>
#<alt (* (* normAngle normAngle) -1/5040)>

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

Calls

189 calls:

Time	Variable		Point	Expression
3.0ms	n1_i	@	inf	(* (- u (+ 1 (/ (* u n1_i) n0_i))) (neg n0_i))
2.0ms	n1_i	@	0	(+ n0_i (* (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) n1_i))
1.0ms	n0_i	@	0	(+ n0_i (* (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) n1_i))
1.0ms	normAngle	@	inf	(+ n0_i (* (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) n1_i))
1.0ms	n1_i	@	0	(+ (+ n0_i (* u (- n1_i n0_i))) (* u (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))))

rewrite311.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

3624×	`-lowering-.f32`
3624×	`-lowering-.f64`
2452×	`pow-lowering-pow.f64`
2452×	`pow-lowering-pow.f32`
1974×	`/-lowering-/.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	44	269
1	324	254
2	3509	251
0	8345	251

Stop Event

1×	iter limit
1×	node limit

Counts

25 → 423

Calls

Call 1

Inputs
(+ (+ n0_i (* u (- n1_i n0_i))) (* u (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))))
(+ n0_i (* u (- n1_i n0_i)))
(* u (- n1_i n0_i))
(- n1_i n0_i)
(* n0_i (- 1 u))
(- 1 u)
(* (- u (+ 1 (/ (* u n1_i) n0_i))) (neg n0_i))
(- u (+ 1 (/ (* u n1_i) n0_i)))
(+ 1 (/ (* u n1_i) n0_i))
(/ (* u n1_i) n0_i)
(* u (+ (+ n1_i (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- (/ n0_i u) n0_i)))
(+ (+ n1_i (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))) (- (/ n0_i u) n0_i))
(+ n1_i (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))
(* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3)))
(+ n0_i (* (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) n1_i))
(* (/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))))) n1_i)
(/ (* u normAngle) (* normAngle (+ 1 (* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6)))))
(* u normAngle)
(* n1_i 1/6)
(* n0_i 1/3)
(* u (* (* normAngle normAngle) (+ (* n1_i 1/6) (* n0_i 1/3))))
(- (/ n0_i u) n0_i)
(* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040)))
(* (* normAngle normAngle) (+ (* (* normAngle normAngle) (+ 1/120 (* (* normAngle normAngle) -1/5040))) -1/6))
(* (* normAngle normAngle) -1/5040)

Outputs
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))
(+.f32 (.f32 u (-.f32 n1_i n0_i)) (+.f32 n0_i (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)))))
(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))))
(+.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))
(+.f32 (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))) n0_i)
(+.f32 (+.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) n0_i) (.f32 u (-.f32 n1_i n0_i)))
(pow.f32 (/.f32 (+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (-.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))))) (+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (*.f32 normAngle normAngle))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)))) (.f32 (+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))))) (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)))))) #s(literal -1 binary32))
(fma.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))
(fma.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))) u (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i))))
(-.f32 (/.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))))) (/.f32 (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)))) (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (-.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))))) (+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (*.f32 normAngle normAngle))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)))) (.f32 (+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))))) (-.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)))))))
(/.f32 (+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)))))) (+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (-.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))))))
(/.f32 (+.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)))))) (+.f32 (.f32 (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (.f32 normAngle normAngle)))) (-.f32 (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i)))) (.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u (*.f32 normAngle normAngle)))))))
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(/.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32)) (.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32))) (.f32 (.f32 normAngle (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) (.f32 normAngle (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))) (-.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/120 binary32)) (.f32 normAngle (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))
(/.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/1728000 binary32) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) #s(literal -1/128024064000 binary32)))) (+.f32 #s(literal 1/14400 binary32) (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)) (-.f32 (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)))))
(/.f32 (.f32 (.f32 normAngle normAngle) (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 1/25401600 binary32)))) (-.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))
(/.f32 (.f32 (+.f32 #s(literal 1/1728000 binary32) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) #s(literal -1/128024064000 binary32))) (.f32 normAngle normAngle)) (+.f32 #s(literal 1/14400 binary32) (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)) (-.f32 (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)) #s(literal 1/120 binary32)))))
(/.f32 (.f32 (-.f32 #s(literal 1/14400 binary32) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle normAngle)) #s(literal 1/25401600 binary32))) (.f32 normAngle normAngle)) (-.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))
(.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))
(.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))
(.f32 (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))) (.f32 normAngle normAngle))
(.f32 (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) normAngle)
(+.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))) (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)))
(+.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))))
(+.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))) (.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))))
(+.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))) #s(literal 1 binary32)) (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))
(fma.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) (.f32 normAngle normAngle) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32)))
(/.f32 (+.f32 (.f32 (.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) (.f32 normAngle (.f32 (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))))) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle)))) (.f32 #s(literal -1/216 binary32) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 normAngle (.f32 normAngle normAngle))))) (+.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))) (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))) (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))) (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)))) (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))) (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))))
(/.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) (.f32 normAngle (.f32 (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))))) #s(literal -1/216 binary32))) (+.f32 (.f32 normAngle (.f32 (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))) #s(literal -1/6 binary32))))))
(/.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 normAngle (.f32 (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))) #s(literal -1/36 binary32))) (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal 1/6 binary32)))
(/.f32 (.f32 (+.f32 (.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) (.f32 normAngle (.f32 (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))))) #s(literal -1/216 binary32)) (.f32 normAngle normAngle)) (+.f32 (.f32 normAngle (.f32 (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))) (-.f32 #s(literal 1/36 binary32) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))) #s(literal -1/6 binary32))))))
(/.f32 (.f32 (+.f32 (.f32 normAngle (.f32 (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))) #s(literal -1/36 binary32)) (.f32 normAngle normAngle)) (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal 1/6 binary32)))
(.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32))))
(.f32 (.f32 normAngle normAngle) (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)))
(.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)))))
(.f32 (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)) (.f32 normAngle normAngle))
(.f32 (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(.f32 (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32))) normAngle)
(.f32 (.f32 #s(literal 1 binary32) (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32))) (*.f32 normAngle normAngle))
(.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)))
(.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))
(.f32 #s(literal -1/5040 binary32) (.f32 normAngle normAngle))
(.f32 (.f32 normAngle #s(literal -1/5040 binary32)) normAngle)

simplify401.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

4696×	`-lowering-.f32`
4696×	`-lowering-.f64`
3220×	`+-lowering-+.f64`
3220×	`+-lowering-+.f32`
1870×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	9587
1	1961	8869
2	7396	8838
0	8801	8838

Stop Event

1×	iter limit
1×	node limit

Counts

756 → 756

Calls

Call 1

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

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

eval128.0ms (0.9%)

Compiler: Compiled 34437 to 2398 computations (93% saved)

prune158.0ms (1.1%)

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	1245	12	1257
Fresh	4	27	31
Picked	4	1	5
Done	0	3	3
Total	1253	43	1296

Accuracy

100.0%

Counts

1296 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
	66.8%	(/.f32 (-.f32 (.f32 (/.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) normAngle)) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)))))) (/.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) normAngle)) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32))))))) (.f32 n0_i n0_i)) (-.f32 (/.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) normAngle)) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)))))) n0_i))
	29.6%	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	29.9%	(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
	36.6%	(/.f32 (.f32 n1_i u) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))))))
	46.7%	(/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
	98.6%	(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 #s(literal 1/6 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))))
	98.5%	(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i u)) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
	97.8%	(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
	82.6%	(+.f32 (*.f32 u n1_i) n0_i)
	61.4%	(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) n0_i))))
	61.5%	(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (.f32 #s(literal -2 binary32) (*.f32 u n0_i)))))
	61.5%	(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
	73.9%	(+.f32 n0_i (/.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)))))) normAngle))
	83.7%	(+.f32 n0_i (/.f32 (.f32 n1_i u) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))))))
	82.4%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))) n1_i))
	82.0%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) n1_i))
✓	82.6%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	83.3%	(+.f32 n0_i (.f32 (+.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 7/360 binary32))) (*.f32 u #s(literal 1/6 binary32))))) n1_i))
	61.7%	(+.f32 n0_i (.f32 (.f32 u n0_i) (+.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
	61.7%	(+.f32 n0_i (.f32 u (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal 1/3 binary32)) (.f32 u (.f32 n0_i #s(literal -1/2 binary32))))) n0_i)))
	98.1%	(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
	98.3%	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 normAngle normAngle) n0_i)))))
	98.6%	(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
	83.1%	(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
	96.8%	(.f32 (-.f32 u (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i)))) (neg.f32 n0_i))
	33.7%	(.f32 (.f32 u (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i))) (neg.f32 n0_i))
	36.2%	(.f32 (.f32 u (+.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (neg.f32 n1_i))
	35.8%	(.f32 (.f32 u (+.f32 normAngle (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (sin.f32 normAngle)))
	36.2%	(.f32 (.f32 u n1_i) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 normAngle normAngle))))
	35.6%	(.f32 (.f32 n1_i (-.f32 #s(literal 0 binary32) (/.f32 u n0_i))) (neg.f32 n0_i))
	35.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))))
	35.7%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))))
	35.4%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
	30.9%	(.f32 (neg.f32 n0_i) (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (-.f32 (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (/.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) n0_i))) (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 u n1_i) (+.f32 (*.f32 u u) #s(literal -1 binary32))) n0_i)))) (-.f32 #s(literal 1 binary32) u)))
	61.2%	(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
	97.7%	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
	36.2%	(.f32 u (+.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)))))
✓	35.9%	(*.f32 u n1_i)
	36.3%	(.f32 n1_i (+.f32 u (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))))
	97.4%	(.f32 n0_i (-.f32 #s(literal 1 binary32) (.f32 u (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)))))
✓	61.4%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
	61.1%	(.f32 n0_i (.f32 u (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))))
✓	50.7%	n0_i

Compiler

Compiled 2689 to 973 computations (63.8% saved)

regimes153.0ms (1.1%)

Counts

82 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 (*.f32 u n1_i) n0_i)
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) normAngle) n1_i))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 u n1_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 (.f32 n1_i (-.f32 #s(literal 0 binary32) (/.f32 u n0_i))) (neg.f32 n0_i))
(.f32 (.f32 u (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(.f32 n0_i (.f32 u (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))))
(.f32 n0_i (-.f32 #s(literal 1 binary32) (.f32 u (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)))))
(.f32 u (+.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)))))
(.f32 (.f32 u n1_i) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 normAngle normAngle))))
(.f32 (.f32 u (+.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (neg.f32 n1_i))
(.f32 (-.f32 u (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u n1_i) n0_i))) (neg.f32 n0_i))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 n0_i (.f32 (.f32 u n0_i) (+.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(.f32 (-.f32 u (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i)))) (neg.f32 n0_i))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 normAngle normAngle) n0_i)))))
(.f32 n1_i (+.f32 u (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))))
(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) n1_i))
(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 #s(literal 1/6 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))
(+.f32 n0_i (.f32 u (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal 1/3 binary32)) (.f32 u (.f32 n0_i #s(literal -1/2 binary32))))) n0_i)))
(+.f32 n0_i (.f32 (+.f32 u (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) n1_i))
(.f32 u (+.f32 (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 n0_i (.f32 (+.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 7/360 binary32))) (*.f32 u #s(literal 1/6 binary32))))) n1_i))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (.f32 #s(literal -2 binary32) (*.f32 u n0_i)))))
(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))))
(.f32 (.f32 n0_i n1_i) (+.f32 (/.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))) n0_i) (/.f32 u n0_i)))
(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))) n1_i))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(/.f32 (.f32 n1_i u) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))))))))
(+.f32 n0_i (/.f32 (.f32 n1_i u) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32))))))))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))) n0_i))))
(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+.f32 (+.f32 n0_i (.f32 u n1_i)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 (.f32 u n1_i) #s(literal 7/360 binary32))) (.f32 #s(literal 1/6 binary32) (*.f32 u n1_i)))))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))))
(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))) n1_i))
(+.f32 n0_i (/.f32 (/.f32 (.f32 u (.f32 normAngle n1_i)) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)))))) normAngle))
(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i u)) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32)))))) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (.f32 #s(literal 1/6 binary32) (.f32 u (.f32 u u)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (+.f32 #s(literal 1 binary32) (.f32 u #s(literal -2 binary32))))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(neg.f32 (.f32 n1_i (-.f32 (-.f32 (.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (/.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i)))) n1_i)) u)))
(.f32 n1_i (+.f32 u (+.f32 (.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (+.f32 (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32))))) (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 (.f32 n0_i (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) n0_i))) n1_i)))))
(.f32 (neg.f32 n0_i) (-.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (+.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) #s(literal 1 binary32)))) (/.f32 (+.f32 (.f32 u n1_i) (.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (.f32 normAngle normAngle)) (.f32 u (+.f32 (*.f32 u u) #s(literal -1 binary32)))))) n0_i)) (-.f32 #s(literal 1 binary32) u)))
(.f32 (.f32 u (.f32 u u)) (-.f32 (+.f32 (/.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) u) (+.f32 (/.f32 n1_i (.f32 u u)) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)) (/.f32 (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 u u)))))) (/.f32 n0_i (.f32 u u))))
(+.f32 (.f32 u n1_i) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (.f32 (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (-.f32 (.f32 #s(literal -1/6 binary32) (.f32 n1_i (-.f32 (.f32 u (.f32 u u)) u))) (.f32 n0_i (+.f32 #s(literal -1/6 binary32) (.f32 u #s(literal 1/6 binary32))))))) (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(.f32 (neg.f32 n0_i) (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (-.f32 (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))) (/.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) n0_i))) (.f32 #s(literal 1/6 binary32) (/.f32 (.f32 (.f32 u n1_i) (+.f32 (*.f32 u u) #s(literal -1 binary32))) n0_i)))) (-.f32 #s(literal 1 binary32) u)))
(+.f32 (.f32 u n1_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i (+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32))) (/.f32 (-.f32 #s(literal 1 binary32) u) (.f32 normAngle normAngle)))) (+.f32 (.f32 (.f32 n1_i #s(literal -1/6 binary32)) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))) (.f32 n0_i (+.f32 (.f32 u #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))))
(.f32 (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal -1/6 binary32)))) (/.f32 (-.f32 (.f32 #s(literal -1/2 binary32) (.f32 n0_i (.f32 normAngle normAngle))) (/.f32 (+.f32 (-.f32 n0_i n1_i) (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal -1/2 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 n1_i n0_i)))) (/.f32 n0_i u))) u)) u)) (neg.f32 (.f32 u (.f32 u u))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) normAngle)) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)))))) (/.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) normAngle)) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32))))))) (.f32 n0_i n0_i)) (-.f32 (/.f32 (.f32 n1_i (/.f32 (.f32 u normAngle) normAngle)) (+.f32 #s(literal 1 binary32) (.f32 normAngle (.f32 normAngle (+.f32 (.f32 normAngle (.f32 normAngle (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32))))) #s(literal -1/6 binary32)))))) n0_i))
(.f32 (.f32 u normAngle) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
(/.f32 (.f32 normAngle (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))))
(.f32 (.f32 u (+.f32 normAngle (.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (*.f32 u u)))) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (*.f32 normAngle normAngle) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)))))))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32)))))))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (+.f32 #s(literal 1/120 binary32) (.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32)))) #s(literal -1/6 binary32))))))) n1_i))
(/.f32 (.f32 normAngle (+.f32 (+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 u n1_i)) (.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))) (.f32 u (.f32 (.f32 u u) n1_i))) (.f32 normAngle normAngle))))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
(/.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (sin.f32 normAngle))
(.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (/.f32 n0_i (sin.f32 normAngle)))
(/.f32 (.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))
(+.f32 n0_i (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 u (.f32 normAngle n1_i))) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(/.f32 (+.f32 (.f32 (sin.f32 (+.f32 (neg.f32 (.f32 u normAngle)) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))
(+.f32 n0_i (.f32 u (-.f32 (/.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (/.f32 (.f32 n0_i (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)))))
(+.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 n1_i (+.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (/.f32 n0_i n1_i) (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u)))) (sin.f32 normAngle))))
(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

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

Calls

5 calls:

43.0ms	n1_i
33.0ms	n0_i
24.0ms	normAngle
23.0ms	u
21.0ms	(+.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
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)

regimes46.0ms (0.3%)

Counts

32 → 1

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)
(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
(+.f32 (*.f32 u n1_i) n0_i)
(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) normAngle) n1_i))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 u n1_i))
(+.f32 (.f32 u n1_i) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(.f32 (.f32 n1_i (-.f32 #s(literal 0 binary32) (/.f32 u n0_i))) (neg.f32 n0_i))
(.f32 (.f32 u (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i))) (neg.f32 n0_i))
(.f32 n0_i (.f32 u (*.f32 #s(literal -1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))))
(.f32 n0_i (-.f32 #s(literal 1 binary32) (.f32 u (-.f32 #s(literal 1 binary32) (/.f32 n1_i n0_i)))))
(.f32 u (+.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle)))))
(.f32 (.f32 u n1_i) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/6 binary32) (.f32 normAngle normAngle))))
(.f32 (.f32 u (+.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(literal -1 binary32))) (neg.f32 n1_i))
(.f32 (-.f32 u (+.f32 #s(literal 1 binary32) (/.f32 (.f32 u n1_i) n0_i))) (neg.f32 n0_i))
(+.f32 n0_i (.f32 u (+.f32 n1_i (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 n0_i (.f32 (.f32 u n0_i) (+.f32 (.f32 (.f32 normAngle normAngle) #s(literal 1/3 binary32)) #s(literal -1 binary32))))
(.f32 (-.f32 u (+.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) n0_i) (*.f32 u n1_i)))) (neg.f32 n0_i))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/3 binary32) (.f32 (.f32 normAngle normAngle) n0_i)))))
(.f32 n1_i (+.f32 u (.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle normAngle) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))))
(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (.f32 normAngle (+.f32 #s(literal 1 binary32) (.f32 (*.f32 normAngle normAngle) #s(literal -1/6 binary32))))) n1_i))
(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 #s(literal 1/6 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))
(+.f32 n0_i (.f32 u (-.f32 (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n0_i #s(literal 1/3 binary32)) (.f32 u (.f32 n0_i #s(literal -1/2 binary32))))) n0_i)))
(+.f32 n0_i (.f32 (+.f32 u (.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (.f32 u (+.f32 (.f32 u u) #s(literal -1 binary32)))))) n1_i))
(.f32 u (+.f32 (+.f32 n1_i (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32))))) (-.f32 (/.f32 n0_i u) n0_i)))
(+.f32 n0_i (.f32 (+.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 7/360 binary32))) (*.f32 u #s(literal 1/6 binary32))))) n1_i))
(+.f32 (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (.f32 (.f32 normAngle normAngle) (.f32 (+.f32 (.f32 u #s(literal 1/6 binary32)) #s(literal -1/6 binary32)) (.f32 #s(literal -2 binary32) (*.f32 u n0_i)))))

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

Calls

4 calls:

15.0ms	normAngle
11.0ms	n0_i
9.0ms	u
9.0ms	n1_i

Results

Accuracy	Segments	Branch
98.8%	1	`normAngle`
98.8%	1	`u`
98.8%	1	`n0_i`
98.8%	1	`n1_i`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes39.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

4 calls:

12.0ms	u
11.0ms	n1_i
7.0ms	n0_i
7.0ms	normAngle

Results

Accuracy	Segments	Branch
98.6%	1	`n1_i`
98.6%	1	`normAngle`
98.6%	1	`u`
98.6%	1	`n0_i`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes59.0ms (0.4%)

Counts

25 → 1

Calls

Call 1

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

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

Calls

4 calls:

36.0ms	normAngle
7.0ms	n0_i
7.0ms	n1_i
7.0ms	u

Results

Accuracy	Segments	Branch
98.6%	1	`normAngle`
98.6%	1	`u`
98.6%	1	`n0_i`
98.6%	1	`n1_i`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes27.0ms (0.2%)

Counts

21 → 1

Calls

Call 1

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

Outputs
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))

Calls

4 calls:

7.0ms	normAngle
6.0ms	n0_i
6.0ms	n1_i
6.0ms	u

Results

Accuracy	Segments	Branch
98.1%	1	`normAngle`
98.1%	1	`u`
98.1%	1	`n0_i`
98.1%	1	`n1_i`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes10.0ms (0.1%)

Counts

5 → 2

Calls

Call 1

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

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

Calls

4 calls:

2.0ms	n1_i
2.0ms	n0_i
2.0ms	u
2.0ms	normAngle

Results

Accuracy	Segments	Branch
82.6%	1	`normAngle`
82.6%	1	`u`
85.9%	2	`n0_i`
82.6%	1	`n1_i`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes14.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	n0_i
2.0ms	u
2.0ms	normAngle
2.0ms	n1_i

Results

Accuracy	Segments	Branch
61.4%	1	`normAngle`
70.7%	3	`n1_i`
61.4%	1	`u`
75.8%	3	`n0_i`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes7.0ms (0%)

Counts

2 → 3

Calls

Call 1

Inputs
n0_i
(*.f32 u n1_i)

Outputs
n0_i
(*.f32 u n1_i)
n0_i

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
59.6%	2	`u`
50.7%	1	`normAngle`
61.6%	3	`n1_i`
66.1%	3	`n0_i`

Compiler

Compiled 20 to 16 computations (20% saved)

regimes30.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
n0_i

Outputs
n0_i

Calls

3 calls:

1.0ms	n1_i
1.0ms	n0_i
1.0ms	u

Results

Accuracy	Segments	Branch
50.7%	1	`n1_i`
50.7%	1	`u`
50.7%	1	`n0_i`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
0.0ms	1.9438275858721377e-13	1.05241531635214e-12

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.1628039802926215e-29	1.951040098631535e-28
0.0ms	-1.7696464210533365e-18	-1.1865822135036161e-18

Compiler

Compiled 36 to 23 computations (36.1% saved)

bsearch0.0ms (0%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.9416679855069093e-25	9.48339195187981e-25
0.0ms	-1.7696464210533365e-18	-1.1865822135036161e-18

Compiler

Compiled 36 to 23 computations (36.1% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`*-commutative_binary32`
26×	`+-commutative_binary32`
8×	`sub-neg_binary32`
4×	`neg-sub0_binary32`
4×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	124
1	78	124
2	85	124
3	89	124
4	91	124

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))
(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 #s(literal 1/6 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n0_i #s(literal 14757395/73786976294838206464 binary32)) (+.f32 (.f32 u n1_i) n0_i) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(if (<=.f32 n0_i #s(literal -7253555/4835703278458516698824704 binary32)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 1661535/41538374868278621028243970633760768 binary32)) (.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n0_i #s(literal -7253555/4835703278458516698824704 binary32)) n0_i (if (<=.f32 n0_i #s(literal 10141205/20282409603651670423947251286016 binary32)) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (.f32 n0_i #s(literal 1/3 binary32))))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 (.f32 normAngle normAngle) (+.f32 (.f32 n1_i #s(literal 1/6 binary32)) (*.f32 n0_i #s(literal 1/3 binary32)))))))
(+.f32 (+.f32 n0_i (.f32 u (-.f32 n1_i n0_i))) (.f32 u (.f32 #s(literal 1/6 binary32) (.f32 n1_i (*.f32 normAngle normAngle)))))
(+.f32 n0_i (.f32 u (+.f32 (-.f32 n1_i n0_i) (.f32 #s(literal 1/6 binary32) (.f32 n1_i (.f32 normAngle normAngle))))))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n0_i #s(literal 14757395/73786976294838206464 binary32)) (+.f32 (.f32 u n1_i) n0_i) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(if (<=.f32 n0_i #s(literal 14757395/73786976294838206464 binary32)) (+.f32 n0_i (.f32 u n1_i)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(if (<=.f32 n0_i #s(literal -7253555/4835703278458516698824704 binary32)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 1661535/41538374868278621028243970633760768 binary32)) (.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n0_i #s(literal -7253555/4835703278458516698824704 binary32)) n0_i (if (<=.f32 n0_i #s(literal 10141205/20282409603651670423947251286016 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness2.2s (15.8%)

Rules

6992×	`+-lowering-+.f64`
6992×	`+-lowering-+.f32`
5816×	`-lowering-.f32`
5816×	`-lowering-.f64`
5588×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	564	9587
1	1961	8869
2	7396	8838
0	8801	8838
0	50	335
1	339	324
2	3694	318
0	8159	318
0	816	13187
1	3010	12595
0	8187	12595
0	928	11871
1	3335	11252
0	8646	11252
0	567	6349
1	2023	5832
0	8416	5832

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 433 to 247 computations (43% saved)

preprocess57.0ms (0.4%)

Remove: (abs normAngle)
Compiler: Compiled 372 to 154 computations (58.6% saved)

analyze517.0ms (3.7%)

sample3.5s (25.4%)

preprocess178.0ms (1.3%)

explain181.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify107.0ms (0.8%)

localize152.0ms (1.1%)

series53.0ms (0.4%)

rewrite337.0ms (2.4%)

simplify529.0ms (3.8%)

eval420.0ms (3%)

prune107.0ms (0.8%)

simplify165.0ms (1.2%)

localize264.0ms (1.9%)

series61.0ms (0.4%)

rewrite414.0ms (3%)

simplify428.0ms (3.1%)

eval133.0ms (1%)

prune168.0ms (1.2%)

simplify225.0ms (1.6%)

localize303.0ms (2.2%)

series116.0ms (0.8%)

rewrite342.0ms (2.5%)

simplify423.0ms (3%)

eval173.0ms (1.2%)

prune198.0ms (1.4%)

simplify466.0ms (3.3%)

localize233.0ms (1.7%)

series55.0ms (0.4%)

rewrite311.0ms (2.2%)

simplify401.0ms (2.9%)

eval128.0ms (0.9%)

prune158.0ms (1.1%)

regimes153.0ms (1.1%)

regimes46.0ms (0.3%)

regimes39.0ms (0.3%)

regimes59.0ms (0.4%)

regimes27.0ms (0.2%)

regimes10.0ms (0.1%)

regimes14.0ms (0.1%)

regimes7.0ms (0%)

regimes30.0ms (0.2%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

soundness2.2s (15.8%)

preprocess57.0ms (0.4%)

end0.0ms (0%)

Profiling