Metrics for Curve intersection, scale width based on ribbon orientation

analyze336.0ms (3%)

Memory

-31.5MiB live, 523.6MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 59 to 39 computations (33.9% saved)

sample3.3s (29.2%)

Memory

-32.5MiB live, 4 382.7MiB allocated

Samples

2.0s	8 256×	0	valid
575.0ms	1 994×	0	invalid

Precisions

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

ival-mult: 760.0ms (35.1% of total)

ival-sin: 401.0ms (18.5% of total)

const: 302.0ms (13.9% of total)

ival-<=: 225.0ms (10.4% of total)

ival-div: 201.0ms (9.3% of total)

ival-pi: 89.0ms (4.1% of total)

ival-sub: 57.0ms (2.6% of total)

ival-and: 55.0ms (2.5% of total)

ival-add: 48.0ms (2.2% of total)

exact: 23.0ms (1.1% of total)

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

Bogosity

preprocess134.0ms (1.2%)

Memory

25.8MiB live, 136.2MiB allocated

Algorithm

1×	egg-herbie

Rules

1 402×	`unsub-neg`
1 014×	`times-frac`
832×	`lower-fma.f64`
832×	`lower-fma.f32`
738×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	368
1	279	300
2	741	283
3	1977	255
4	3516	252
5	6491	252
0	17	25
0	29	25
1	48	21
2	88	20
3	156	18
4	203	18
5	238	18
6	282	18
7	367	18
8	510	18
9	609	18
10	735	18
11	1173	18
12	1886	18
13	2293	18
14	2312	18
15	2313	18
16	2313	18
0	2313	17

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs normAngle)

explain222.0ms (2%)

Memory

-15.1MiB live, 552.4MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	23	(3.6674399452529887e-38 3.915815582899995e-8 -1.5834155167593345e-11 -1.5871744053796085e-36)	`(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)`
0	-	0	-	`(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))`
0	-	0	-	`(*.f32 u normAngle)`
0	-	0	-	`n1_i`
0	-	0	-	`(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)`
0	-	0	-	`(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)`
0	-	0	-	`n0_i`
0	-	0	-	`normAngle`
0	-	0	-	`(-.f32 #s(literal 1 binary32) u)`
0	-	0	-	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
0	-	0	-	`#s(literal 1 binary32)`
0	-	0	-	`(sin.f32 (*.f32 u normAngle))`
0	-	0	-	`u`
0	-	0	-	`(sin.f32 normAngle)`
0	-	0	-	`(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))`
0	-	0	-	`(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))`

Explanations

Click to see full explanations table

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

Confusion

	Predicted +	Predicted -
+	0	7
-	1	248

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	7
-	1	0	248

Precision?

0.0

Recall?

0.0

Freqs

test

number	freq
0	255
1	1

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

67.0ms	502×	0	valid
2.0ms	10×	1	valid

Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-mult: 20.0ms (40.5% of total)

ival-sin: 19.0ms (38.4% of total)

ival-div: 4.0ms (8.1% of total)

ival-add: 2.0ms (4% of total)

ival-sub: 2.0ms (4% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.6MiB live, 0.6MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

2.9MiB live, 2.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Status

Accuracy

Program

▶

97.6%

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

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify105.0ms (0.9%)

Memory

-20.1MiB live, 62.4MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

832×	`lower-fma.f64`
832×	`lower-fma.f32`
576×	`lower-*.f64`
564×	`lower-*.f32`
486×	`times-frac`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	101
0	29	101
1	48	89
2	88	88
3	156	86
4	203	86
5	238	86
6	282	86
7	367	86
8	510	86
9	609	86
10	735	86
11	1173	86
12	1886	86
13	2293	86
14	2312	86
15	2313	86
16	2313	86
0	2313	85

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize64.0ms (0.6%)

Memory

-4.3MiB live, 112.3MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	95.2%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

43.0ms	251×	0	valid
1.0ms	5×	1	valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 34.0ms

ival-mult: 23.0ms (67.7% of total)

ival-sin: 6.0ms (17.7% of total)

ival-div: 2.0ms (5.9% of total)

ival-add: 1.0ms (2.9% of total)

ival-sub: 1.0ms (2.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series33.0ms (0.3%)

Memory

24.8MiB live, 65.3MiB allocated

Counts

5 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite364.0ms (3.2%)

Memory

-5.3MiB live, 667.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 546×	`lower-fma.f64`
7 546×	`lower-fma.f32`
5 814×	`lower-*.f64`
5 802×	`lower-*.f32`
2 004×	`lower-pow.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	29	53
1	83	53
2	469	52
3	4845	52
0	8489	51

Stop Event

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

Counts

5 → 240

Calls

Call 1

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

Outputs
(neg.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (neg.f32 (fma.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))))))))
(neg.f32 (/.f32 (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (.f32 n1_i n1_i)))) (neg.f32 (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(neg.f32 (/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle)) (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))))))
(neg.f32 (/.f32 (neg.f32 (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (.f32 n1_i n1_i))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle))))
(exp.f32 (.f32 (log.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (.f32 u normAngle)) n1_i))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(+.f32 (/.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 n0_i n0_i)) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (sin.f32 normAngle)) (-.f32 (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 n0_i n0_i)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 #s(literal 1 binary32) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
(fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 (/.f32 (.f32 n0_i (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (.f32 u normAngle)) n1_i)) (sin.f32 normAngle))) (neg.f32 (/.f32 (.f32 n1_i (.f32 n1_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))))) (/.f32 (-.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) n1_i)) (sin.f32 normAngle)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))
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(.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (-.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 4 binary32)) (pow.f32 (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (sin.f32 normAngle))) #s(literal 2 binary32)))) (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (.f32 n0_i n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (/.f32 (-.f32 (.f32 (sin.f32 (.f32 u normAngle)) n1_i) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (sin.f32 normAngle)))))
(.f32 (/.f32 (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (.f32 u normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (neg.f32 (.f32 n1_i n1_i)))) (-.f32 (pow.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 3 binary32)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 n0_i (.f32 n0_i (/.f32 (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) (fma.f32 normAngle (neg.f32 u) normAngle))))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle)))))) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (fma.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i (.f32 (sin.f32 (*.f32 u normAngle)) n1_i))))))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(neg.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle)))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (sin.f32 normAngle))
(/.f32 (/.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32)) (sin.f32 normAngle))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))))
(*.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 (sin.f32 normAngle))) #s(literal -1 binary32))
(.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (sin.f32 normAngle)))
(exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle))))
(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u normAngle)))))
(/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (sin.f32 (*.f32 normAngle (neg.f32 u)))) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (*.f32 normAngle (neg.f32 u))) #s(literal -1 binary32)) (sin.f32 normAngle))
(.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (.f32 u normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (.f32 u normAngle)) #s(literal 1 binary32)))
(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (sin.f32 normAngle)))
(.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle))))
(.f32 (/.f32 (sin.f32 (.f32 normAngle (neg.f32 u))) (sin.f32 normAngle)) #s(literal -1 binary32))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (/.f32 (sin.f32 (.f32 u normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(neg.f32 (*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)))
(exp.f32 (log.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))))
(exp.f32 (.f32 (log.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))) #s(literal 1 binary32)))
(pow.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 #s(literal -1 binary32) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) n0_i) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (neg.f32 n0_i) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (exp.f32 (log.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (sin.f32 normAngle))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))
(.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (exp.f32 (log.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))))
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) n0_i)
(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (/.f32 n0_i #s(literal 1 binary32)))
(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
(.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) #s(literal 1 binary32))
(.f32 #s(literal -1 binary32) (.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal 1 binary32)))
(.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(.f32 (.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i)) #s(literal -1 binary32))
(.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (exp.f32 (log.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))))
(*.f32 (exp.f32 (log.f32 (/.f32 n0_i (sin.f32 normAngle)))) (exp.f32 (log.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(*.f32 (exp.f32 (log.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))) (exp.f32 (log.f32 n0_i)))
(*.f32 (exp.f32 (log.f32 n0_i)) (exp.f32 (log.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(.f32 (exp.f32 (log.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(+.f32 normAngle (*.f32 normAngle (neg.f32 u)))
(+.f32 (*.f32 normAngle (neg.f32 u)) normAngle)
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (+.f32 #s(literal 1 binary32) u) (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) #s(literal -1 binary32))
(fma.f32 #s(literal 1 binary32) normAngle (*.f32 normAngle (neg.f32 u)))
(fma.f32 normAngle #s(literal 1 binary32) (*.f32 normAngle (neg.f32 u)))
(fma.f32 normAngle (neg.f32 u) normAngle)
(fma.f32 #s(literal -1 binary32) (*.f32 u normAngle) normAngle)
(fma.f32 (neg.f32 u) normAngle normAngle)
(fma.f32 (*.f32 normAngle #s(literal -1 binary32)) u normAngle)
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u)) (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) u) (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))))
(/.f32 normAngle (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
(/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(/.f32 (neg.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(/.f32 (fma.f32 (.f32 normAngle normAngle) normAngle (.f32 (.f32 u (.f32 u u)) (.f32 (.f32 normAngle normAngle) normAngle))) (fma.f32 normAngle normAngle (-.f32 (.f32 (.f32 normAngle (neg.f32 u)) (.f32 normAngle (neg.f32 u))) (.f32 normAngle (*.f32 normAngle (neg.f32 u))))))
(/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 normAngle (neg.f32 u)))) (-.f32 normAngle (*.f32 normAngle (neg.f32 u))))
(/.f32 (.f32 normAngle (neg.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32)))) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (.f32 normAngle (+.f32 #s(literal -1 binary32) (.f32 u u))) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(/.f32 (.f32 (neg.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32))) normAngle) (neg.f32 (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(/.f32 (.f32 (+.f32 #s(literal -1 binary32) (.f32 u u)) normAngle) (neg.f32 (+.f32 #s(literal 1 binary32) u)))
(*.f32 normAngle (+.f32 #s(literal 1 binary32) u))
(.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))) normAngle))
(.f32 (fma.f32 u (.f32 u u) #s(literal 1 binary32)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (*.f32 (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)) normAngle))
(.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 normAngle (+.f32 #s(literal 1 binary32) u)))
(*.f32 (+.f32 #s(literal 1 binary32) u) normAngle)
(.f32 (.f32 normAngle (fma.f32 u (*.f32 u u) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (fma.f32 u u u))))
(.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (*.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
(.f32 (/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (.f32 (fma.f32 u u u) (fma.f32 u u u)) #s(literal 1 binary32))) (fma.f32 (fma.f32 u u u) (-.f32 (fma.f32 u u u) #s(literal 1 binary32)) #s(literal 1 binary32)))
(.f32 (/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (-.f32 #s(literal 1 binary32) (.f32 (fma.f32 u u u) (fma.f32 u u u)))) (-.f32 #s(literal 1 binary32) (fma.f32 u u u)))
(.f32 (/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 #s(literal 1 binary32) u))
(.f32 (/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (+.f32 #s(literal 1 binary32) (fma.f32 u u u)))

simplify519.0ms (4.6%)

Memory

-30.5MiB live, 671.8MiB allocated

Algorithm

1×	egg-herbie

Rules

12 022×	`lower-fma.f64`
12 022×	`lower-fma.f32`
6 426×	`lower-+.f64`
6 426×	`lower-+.f32`
5 452×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 152

Calls

Call 1

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

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

eval39.0ms (0.3%)

Memory: 29.0MiB live, 108.6MiB allocated
Compiler: Compiled 14 967 to 1 041 computations (93% saved)

prune59.0ms (0.5%)

Memory

-28.1MiB live, 144.4MiB allocated

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	377	15	392
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	378	15	393

Accuracy

99.7%

Counts

393 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	38.4%	(fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (fma.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (neg.f32 n0_i)) (.f32 n1_i (.f32 u (fma.f32 u u #s(literal -1 binary32)))))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 u n1_i)))
▶	38.4%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
▶	97.7%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	70.4%	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 normAngle (neg.f32 u)) (.f32 normAngle (neg.f32 u)))) (-.f32 normAngle (.f32 normAngle (neg.f32 u))))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.6%	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.7%	(+.f32 (.f32 (.f32 (sin.f32 (+.f32 (.f32 normAngle (neg.f32 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))
	95.0%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
▶	97.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	97.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (*.f32 u 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 (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (.f32 (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)) (sin.f32 (*.f32 u normAngle)))) n1_i))
	96.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (exp.f32 (.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 u normAngle)))) #s(literal -1 binary32))) n1_i))
▶	97.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle 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))
	82.0%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	37.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
▶	45.7%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))

Compiler

Compiled 828 to 496 computations (40.1% saved)

simplify278.0ms (2.5%)

Memory

11.6MiB live, 322.8MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	352	(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
✓	cost-diff	3616	(+.f32 (.f32 (.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle 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))
✓	cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
✓	cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	cost-diff	160	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	3616	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
✓	cost-diff	0	(fma.f32 u (neg.f32 normAngle) normAngle)
✓	cost-diff	0	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	cost-diff	0	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	cost-diff	0	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	cost-diff	0	(*.f32 u n1_i)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	160	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	0	(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
✓	cost-diff	64	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Rules

5 022×	`lower-fma.f64`
5 018×	`lower-fma.f32`
3 628×	`lower-*.f64`
3 606×	`lower-*.f32`
2 128×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	323
0	67	307
1	113	291
2	195	290
3	344	288
4	522	285
5	765	282
6	1416	282
7	3747	282
8	6916	282
0	8296	278

Stop Event

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

Calls

Call 1

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

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

localize134.0ms (1.2%)

Memory

-20.4MiB live, 304.1MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.2%	(*.f32 u (-.f32 (/.f32 normAngle u) normAngle))
✓	accuracy	99.1%	(-.f32 (/.f32 normAngle u) normAngle)
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	95.2%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 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	99.5%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	95.7%	(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
✓	accuracy	100.0%	(sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))
✓	accuracy	99.6%	(*.f32 n0_i (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
✓	accuracy	99.1%	(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
✓	accuracy	71.8%	(fma.f32 u (neg.f32 normAngle) normAngle)
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	39.1%	(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 u n1_i))
✓	accuracy	99.9%	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	accuracy	99.8%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
✓	accuracy	95.2%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

70.0ms	251×	0	valid
3.0ms	5×	1	valid

Compiler

Compiled 330 to 39 computations (88.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 51.0ms

ival-mult: 21.0ms (40.8% of total)

ival-sin: 11.0ms (21.4% of total)

ival-add: 8.0ms (15.5% of total)

ival-div: 7.0ms (13.6% of total)

ival-sub: 3.0ms (5.8% of total)

ival-neg: 1.0ms (1.9% of total)

adjust: 0.0ms (0% of total)

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

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

exact: 0.0ms (0% of total)

series109.0ms (1%)

Memory

10.6MiB live, 124.2MiB allocated

Counts

21 → 612

Calls

Call 1

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

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

Calls

153 calls:

Time	Variable		Point	Expression
34.0ms	normAngle	@	-inf	(/ (sin (+ (* u (neg normAngle)) normAngle)) (sin normAngle))
17.0ms	n0_i	@	0	(+ (* (* (sin (* u (- (/ normAngle u) normAngle))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
7.0ms	u	@	-inf	(+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (/ (* u normAngle) (sin normAngle)) n1_i))
2.0ms	normAngle	@	0	(+ (* (* (sin (* u (- (/ normAngle u) normAngle))) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
2.0ms	n0_i	@	0	(* n0_i (/ (sin (+ (* u (neg normAngle)) normAngle)) (sin normAngle)))

rewrite401.0ms (3.6%)

Memory

19.8MiB live, 691.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

6 572×	`lower-fma.f64`
6 568×	`lower-fma.f32`
4 134×	`lower-*.f64`
4 108×	`lower-*.f32`
4 076×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	202
0	67	184
1	230	184
2	1513	184
0	8596	181

Stop Event

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

Counts

21 → 765

Calls

Call 1

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

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

simplify496.0ms (4.4%)

Memory

2.0MiB live, 830.6MiB allocated

Algorithm

1×	egg-herbie

Rules

13 686×	`lower-fma.f64`
13 686×	`lower-fma.f32`
6 854×	`lower-*.f64`
6 854×	`lower-*.f32`
4 492×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	754	9127
1	2582	8618
0	8088	8263

Stop Event

1×	iter limit
1×	node limit

Counts

612 → 600

Calls

Call 1

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

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

eval182.0ms (1.6%)

Memory: 26.2MiB live, 374.6MiB allocated
Compiler: Compiled 43 233 to 3 452 computations (92% saved)

prune227.0ms (2%)

Memory

19.1MiB live, 532.5MiB allocated

Pruning

30 alts after pruning (29 fresh and 1 done)

	Pruned	Kept	Total
New	1 518	28	1 546
Fresh	9	1	10
Picked	4	1	5
Done	0	0	0
Total	1 531	30	1 561

Accuracy

100.0%

Counts

1 561 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	59.9%	(fma.f32 u n1_i (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))
	38.4%	(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
	38.4%	(fma.f32 n0_i (fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32))) (neg.f32 (/.f32 (.f32 u u) (+.f32 u #s(literal 1 binary32))))) (.f32 u n1_i))
	38.4%	(fma.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) (*.f32 u n1_i))
	38.4%	(fma.f32 n0_i (neg.f32 u) (*.f32 u n1_i))
	76.6%	(/.f32 (-.f32 (.f32 u (.f32 n1_i (.f32 u n1_i))) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (-.f32 (.f32 u n1_i) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))
	32.0%	(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
▶	98.0%	(+.f32 (+.f32 n0_i (.f32 (neg.f32 u) n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	86.5%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
	86.4%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (.f32 normAngle (*.f32 u n1_i)) (sin.f32 normAngle)))
▶	98.2%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 u n1_i))
	97.5%	(+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 u #s(literal 1 binary32)))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	70.2%	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 u normAngle) (.f32 u normAngle))) (+.f32 normAngle (.f32 u normAngle)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	95.9%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i))
✓	97.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	97.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (neg.f32 (.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	97.9%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	97.4%	(+.f32 (.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶	81.8%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	98.0%	(*.f32 (-.f32 (-.f32 n0_i n1_i) (/.f32 n0_i u)) (neg.f32 u))
	76.3%	(.f32 (-.f32 (.f32 u (.f32 n1_i (.f32 u n1_i))) (.f32 n0_i (.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) n0_i)))) (/.f32 #s(literal 1 binary32) (-.f32 (.f32 u n1_i) (*.f32 (-.f32 #s(literal 1 binary32) u) n0_i))))
	59.7%	(.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
	37.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
	36.9%	(*.f32 u (-.f32 n1_i n0_i))
▶	97.9%	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
	38.4%	(*.f32 u n1_i)
	60.0%	(.f32 n0_i (/.f32 (sin.f32 (-.f32 normAngle (.f32 u normAngle))) (sin.f32 normAngle)))
	59.9%	(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
	59.9%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
▶	48.4%	(*.f32 n0_i #s(literal 1 binary32))

Compiler

Compiled 1 096 to 682 computations (37.8% saved)

simplify398.0ms (3.5%)

Memory

-4.3MiB live, 402.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 (neg.f32 u) n0_i)
✓	cost-diff	64	(+.f32 n0_i (*.f32 (neg.f32 u) n0_i))
✓	cost-diff	64	(+.f32 (+.f32 n0_i (.f32 (neg.f32 u) n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	cost-diff	160	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	cost-diff	0	(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
✓	cost-diff	0	(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)
✓	cost-diff	64	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
✓	cost-diff	160	(*.f32 #s(literal 1 binary32) n0_i)
✓	cost-diff	0	(/.f32 n0_i u)
✓	cost-diff	0	(-.f32 (/.f32 n0_i u) n0_i)
✓	cost-diff	0	(+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))
✓	cost-diff	416	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
✓	cost-diff	160	(*.f32 n0_i #s(literal 1 binary32))
✓	cost-diff	0	(*.f32 u n1_i)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) u)
✓	cost-diff	0	(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)
✓	cost-diff	224	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 u n1_i))

Rules

6 280×	`lower-fma.f64`
6 280×	`lower-fma.f32`
2 768×	`lower-*.f64`
2 748×	`lower-*.f32`
1 480×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	163
0	51	156
1	95	149
2	190	149
3	346	145
4	638	145
5	1230	145
6	2773	145
7	4076	145
8	5543	145
9	6074	145
10	6154	145
11	6194	145
12	6225	145
13	6227	145
14	6348	145
15	6367	145
16	6367	145
17	7381	145
0	8141	141

Stop Event

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

Calls

Call 1

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

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

localize87.0ms (0.8%)

Memory

4.6MiB live, 240.5MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.9%	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	accuracy	99.9%	(+.f32 n0_i (*.f32 (neg.f32 u) n0_i))
✓	accuracy	99.8%	(+.f32 (+.f32 n0_i (.f32 (neg.f32 u) n0_i)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
✓	accuracy	95.2%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(sin.f32 normAngle)
✓	accuracy	99.9%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
✓	accuracy	99.9%	(.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i)
✓	accuracy	95.7%	(/.f32 (*.f32 u normAngle) (sin.f32 normAngle))
✓	accuracy	100.0%	(/.f32 n0_i u)
✓	accuracy	99.8%	(+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i))
✓	accuracy	99.4%	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
✓	accuracy	99.1%	(-.f32 (/.f32 n0_i u) n0_i)
✓	accuracy	100.0%	(*.f32 n0_i #s(literal 1 binary32))
✓	accuracy	100.0%	(-.f32 #s(literal 1 binary32) u)
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	99.7%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 u n1_i))
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) n0_i)

Samples

52.0ms

256×

valid

Compiler

Compiled 165 to 30 computations (81.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 36.0ms

ival-mult: 16.0ms (44.3% of total)

ival-add: 6.0ms (16.6% of total)

ival-div: 5.0ms (13.8% of total)

ival-sin: 4.0ms (11.1% of total)

ival-sub: 3.0ms (8.3% of total)

ival-neg: 1.0ms (2.8% of total)

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

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

exact: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory

-27.9MiB live, 64.1MiB allocated

Counts

19 → 516

Calls

Call 1

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

Outputs
#<alt n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (+ n0_i (* u (+ n1_i (* -1 n0_i))))>
#<alt (* u (+ n1_i (* -1 n0_i)))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* n0_i (- 1 u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))>
#<alt 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 (* 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 1>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* -1 u))>
#<alt (* -1 u)>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* u (- (/ 1 u) 1))>
#<alt (* -1 u)>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* -1 (* u (- 1 (/ 1 u))))>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt (+ 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 (* u (- (/ n0_i u) n0_i))>
#<alt (+ (* n1_i u) (* u (- (/ n0_i u) n0_i)))>
#<alt (+ (* n1_i u) (* u (- (/ n0_i u) n0_i)))>
#<alt (+ (* n1_i u) (* u (- (/ n0_i u) n0_i)))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i)))>
#<alt (* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i)))>
#<alt (* n1_i (+ u (/ (* u (- (/ n0_i u) n0_i)) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (- (/ n0_i u) n0_i)) n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u))>
#<alt (+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u))>
#<alt (+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u))>
#<alt (* n0_i (* u (- (/ 1 u) 1)))>
#<alt (* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i)))>
#<alt (* -1 (* n0_i (* u (- 1 (/ 1 u)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u))))))>
#<alt (- (/ n0_i u) n0_i)>
#<alt (- (+ n1_i (/ n0_i u)) n0_i)>
#<alt (- (+ n1_i (/ n0_i u)) n0_i)>
#<alt (- (+ n1_i (/ n0_i u)) n0_i)>
#<alt n1_i>
#<alt (* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)))>
#<alt (* n1_i (- (+ 1 (/ n0_i (* n1_i u))) (/ n0_i n1_i)))>
#<alt n1_i>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1)))>
#<alt (* -1 (* n1_i (- (* -1 (/ (- (/ n0_i u) n0_i) n1_i)) 1)))>
#<alt n1_i>
#<alt (+ n1_i (* n0_i (- (/ 1 u) 1)))>
#<alt (+ n1_i (* n0_i (- (/ 1 u) 1)))>
#<alt (+ n1_i (* n0_i (- (/ 1 u) 1)))>
#<alt (* n0_i (- (/ 1 u) 1))>
#<alt (* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1))>
#<alt (* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1))>
#<alt (* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1))>
#<alt (* -1 (* n0_i (- 1 (/ 1 u))))>
#<alt (* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))>
#<alt (* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))>
#<alt (* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))>
#<alt (/ n0_i u)>
#<alt (/ (+ n0_i (* u (- n1_i n0_i))) u)>
#<alt (/ (+ n0_i (* u (- n1_i n0_i))) u)>
#<alt (/ (+ n0_i (* u (- n1_i n0_i))) u)>
#<alt (- n1_i n0_i)>
#<alt (- (+ n1_i (/ n0_i u)) n0_i)>
#<alt (- (+ n1_i (/ n0_i u)) n0_i)>
#<alt (- (+ n1_i (/ n0_i u)) n0_i)>
#<alt (- n1_i n0_i)>
#<alt (- (+ n1_i (/ n0_i u)) n0_i)>
#<alt (- (+ n1_i (/ n0_i u)) n0_i)>
#<alt (- (+ n1_i (/ n0_i 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 (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt (/ (* n1_i (* 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) (sin normAngle))>
#<alt (* u (+ (* -1/6 (/ (* (pow normAngle 3) (pow u 2)) (sin normAngle))) (/ normAngle (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))) (/ normAngle (sin normAngle))))>
#<alt (* u (+ (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 7) (pow u 2)) (sin normAngle))) (* 1/120 (/ (pow normAngle 5) (sin normAngle))))))) (/ normAngle (sin normAngle))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt u>
#<alt (+ u (* (pow normAngle 2) (- (* -1/6 (pow u 3)) (* -1/6 u))))>
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))>
#<alt (+ u (* (pow normAngle 2) (- (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow u 5)) (* (pow normAngle 2) (- (* -1/5040 (pow u 7)) (+ (* -1/6 (- (* 1/120 (pow u 5)) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u)))) (+ (* -1/5040 u) (* 1/120 (- (* -1/6 (pow u 3)) (* -1/6 u)))))))) (+ (* -1/6 (- (* -1/6 (pow u 3)) (* -1/6 u))) (* 1/120 u))))) (* -1/6 u))))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (sin (* normAngle u)) (sin normAngle))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ (* n0_i (+ 1 (* -1 u))) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))>
#<alt (* n0_i (+ 1 (+ (* -1 u) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))))>
#<alt (* -1 (* n0_i (- u 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) 1)))>
#<alt (* -1 (* n0_i (- (+ u (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle))))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (* u (+ (* -1 n0_i) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))))>
#<alt (+ n0_i (* u (+ (* -1 n0_i) (+ (* (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 (* -1 (* n0_i u))>
#<alt (* u (+ (* -1 n0_i) (+ (/ n0_i u) (/ (* n1_i (sin (* normAngle u))) (* u (sin normAngle))))))>
#<alt (* u (+ (* -1 n0_i) (+ (/ n0_i u) (/ (* n1_i (sin (* normAngle u))) (* u (sin normAngle))))))>
#<alt (* u (+ (* -1 n0_i) (+ (/ n0_i u) (/ (* n1_i (sin (* normAngle u))) (* u (sin normAngle))))))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) u)))))>
#<alt (* -1 (* u (+ n0_i (* -1 (/ (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle))) u)))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (* n1_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_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)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_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)))))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (* -1 (* n0_i u)))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (+ n0_i (+ (* -1 (* n0_i u)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i u) n1_i)) (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i u) n1_i)) (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle)))))>
#<alt (* n1_i (+ (* -1 (/ (* n0_i u) n1_i)) (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle)))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (* n0_i u))) n1_i)))))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* -1 (* n0_i (- u 1)))>
#<alt (* -1 (* n0_i (- u 1)))>
#<alt (* -1 (* n0_i (- u 1)))>
#<alt (* -1 (* n0_i (- u 1)))>
#<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 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* n0_i u))>
#<alt 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 (/ (* 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))>

Calls

129 calls:

Time	Variable		Point	Expression
2.0ms	n1_i	@	0	(+ (+ n0_i (* (neg u) n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))
1.0ms	u	@	-inf	(* u (+ n1_i (- (/ n0_i u) n0_i)))
0.0ms	u	@	0	(* u (+ n1_i (- (/ n0_i u) n0_i)))
0.0ms	u	@	inf	(* u (+ n1_i (- (/ n0_i u) n0_i)))
0.0ms	normAngle	@	inf	(+ (+ n0_i (* (neg u) n0_i)) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i))

rewrite410.0ms (3.7%)

Memory

-7.5MiB live, 784.1MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 040×	`lower-fma.f64`
7 040×	`lower-fma.f32`
4 548×	`lower-*.f64`
4 528×	`lower-*.f32`
4 502×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	126
0	51	113
1	199	112
2	1549	112
0	8340	109

Stop Event

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

Counts

19 → 747

Calls

Call 1

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

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

simplify471.0ms (4.2%)

Memory

43.7MiB live, 875.5MiB allocated

Algorithm

1×	egg-herbie

Rules

17 784×	`lower-fma.f64`
17 784×	`lower-fma.f32`
5 502×	`lower-*.f64`
5 502×	`lower-*.f32`
4 634×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	404	4461
1	1323	4332
2	4450	4242
0	8096	4040

Stop Event

1×	iter limit
1×	node limit

Counts

516 → 477

Calls

Call 1

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

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

eval136.0ms (1.2%)

Memory: -39.1MiB live, 242.7MiB allocated
Compiler: Compiled 26 347 to 2 498 computations (90.5% saved)

prune205.0ms (1.8%)

Memory

42.5MiB live, 354.6MiB allocated

Pruning

39 alts after pruning (36 fresh and 3 done)

	Pruned	Kept	Total
New	1 228	21	1 249
Fresh	9	15	24
Picked	3	2	5
Done	0	1	1
Total	1 240	39	1 279

Accuracy

100.0%

Counts

1 279 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	38.4%	(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
	38.4%	(fma.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) (*.f32 u n1_i))
	38.4%	(fma.f32 #s(literal 1 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 u n1_i))
	32.0%	(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
	97.9%	(+.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) n0_i) (+.f32 #s(literal 1 binary32) u)) (*.f32 u n1_i))
	72.7%	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
▶	98.4%	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u n1_i))
	98.4%	(+.f32 (+.f32 n0_i (.f32 (neg.f32 u) n0_i)) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (*.f32 u u) #s(literal -1/6 binary32) #s(literal 1/6 binary32))) u) n1_i))
	97.8%	(+.f32 (+.f32 n0_i (.f32 (neg.f32 u) n0_i)) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	82.4%	(+.f32 (.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (.f32 u (.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 u u (.f32 #s(literal 0 binary32) u)))) #s(literal 1 binary32)) n0_i) (*.f32 u n1_i))
	86.5%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
	86.4%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (.f32 normAngle (*.f32 u n1_i)) (sin.f32 normAngle)))
✓	98.2%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 u n1_i))
▶	98.0%	(+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) n0_i) (.f32 u n1_i))
	70.2%	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 u normAngle) (.f32 u normAngle))) (+.f32 normAngle (.f32 u normAngle)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	95.9%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i))
✓	97.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	97.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (neg.f32 (.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	97.9%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	97.8%	(+.f32 (.f32 u (-.f32 (/.f32 n0_i u) n0_i)) (.f32 u n1_i))
▶	83.0%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle))))
	82.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 u n1_i))
	81.8%	(+.f32 n0_i (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	59.7%	(.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
	37.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
▶	59.6%	(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
	97.9%	(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
	36.9%	(*.f32 u (-.f32 n1_i n0_i))
	82.4%	(*.f32 u (+.f32 n1_i (fma.f32 #s(literal 1 binary32) (neg.f32 n0_i) (/.f32 n0_i u))))
	82.4%	(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
✓	97.9%	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
	97.7%	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 u n0_i)) n0_i)))
	97.5%	(.f32 u (+.f32 n1_i (.f32 (/.f32 (+.f32 n0_i (/.f32 n0_i u)) n0_i) (/.f32 (-.f32 (/.f32 n0_i u) n0_i) (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))))
	83.1%	(.f32 u (.f32 (-.f32 (.f32 (+.f32 n1_i (/.f32 n0_i u)) (+.f32 n1_i (/.f32 n0_i u))) (.f32 n0_i n0_i)) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))))
	38.4%	(*.f32 u n1_i)
	59.9%	(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
	59.9%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
▶	48.4%	n0_i

Compiler

Compiled 1 286 to 807 computations (37.2% saved)

simplify301.0ms (2.7%)

Memory

-6.7MiB live, 434.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f32 u n1_i)
✓	cost-diff	0	(.f32 (.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
✓	cost-diff	64	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle))))
✓	cost-diff	160	(*.f32 #s(literal 1 binary32) n0_i)
✓	cost-diff	0	(-.f32 #s(literal 1 binary32) (*.f32 u u))
✓	cost-diff	0	(.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) n0_i)
✓	cost-diff	224	(+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) n0_i) (.f32 u n1_i))
✓	cost-diff	768	(.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
✓	cost-diff	0	(/.f32 n0_i u)
✓	cost-diff	0	(-.f32 (/.f32 n0_i u) n0_i)
✓	cost-diff	352	(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
✓	cost-diff	0	(*.f32 u n1_i)
✓	cost-diff	0	(*.f32 u n0_i)
✓	cost-diff	0	(-.f32 n0_i (*.f32 u n0_i))
✓	cost-diff	224	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u n1_i))

Rules

11 092×	`lower-fma.f64`
11 092×	`lower-fma.f32`
3 774×	`lower-*.f64`
3 758×	`lower-*.f32`
1 728×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	142
0	43	120
1	79	114
2	183	114
3	358	114
4	796	114
5	1923	108
6	4724	108
7	7778	108
0	8105	105

Stop Event

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

Calls

Call 1

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

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

localize81.0ms (0.7%)

Memory

0.2MiB live, 193.5MiB allocated

Localize:

Found 15 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(sin.f32 normAngle)
✓	accuracy	100.0%	(/.f32 normAngle (sin.f32 normAngle))
✓	accuracy	99.9%	(.f32 (.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle)))
✓	accuracy	99.9%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (*.f32 u n1_i) (/.f32 normAngle (sin.f32 normAngle))))
✓	accuracy	99.8%	(+.f32 (.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) n0_i) (.f32 u n1_i))
✓	accuracy	99.6%	(.f32 (.f32 (-.f32 #s(literal 1 binary32) (*.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))) n0_i)
✓	accuracy	99.5%	(.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u)))
✓	accuracy	98.8%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) u))
✓	accuracy	100.0%	(/.f32 n0_i u)
✓	accuracy	99.2%	(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
✓	accuracy	99.1%	(-.f32 (/.f32 n0_i u) n0_i)
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	100.0%	(*.f32 u n0_i)
✓	accuracy	99.9%	(-.f32 n0_i (*.f32 u n0_i))
✓	accuracy	99.8%	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u n1_i))

Samples

42.0ms	248×	0	valid
5.0ms	8×	5	exit

Compiler

Compiled 144 to 26 computations (81.9% saved)

Precisions

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

ival-mult: 12.0ms (36.9% of total)

ival-div: 7.0ms (21.5% of total)

ival-add: 5.0ms (15.4% of total)

ival-sub: 4.0ms (12.3% of total)

ival-sin: 3.0ms (9.2% of total)

adjust: 2.0ms (6.1% of total)

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

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

exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory

-4.9MiB live, 63.8MiB allocated

Counts

17 → 396

Calls

Call 1

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

Outputs
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (+ (* n0_i (- 1 u)) (* n1_i u))>
#<alt (* n0_i (- 1 u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (+ 1 (* -1 u)))))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (+ 1 (* -1 u)))))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (+ 1 (* -1 u)))))>
#<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 (* -1 (* u (- (* -1 n1_i) (* -1 n0_i))))>
#<alt (* -1 (* u (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 n0_i))))>
#<alt (* -1 (* u (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 n0_i))))>
#<alt (* -1 (* u (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 n0_i))))>
#<alt (- n0_i (* n0_i u))>
#<alt (- (+ n0_i (* n1_i u)) (* n0_i u))>
#<alt (- (+ n0_i (* n1_i u)) (* n0_i u))>
#<alt (- (+ n0_i (* n1_i u)) (* n0_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (- (+ u (/ n0_i n1_i)) (/ (* n0_i u) n1_i)))>
#<alt (* n1_i (- (+ u (/ n0_i n1_i)) (/ (* n0_i u) n1_i)))>
#<alt (* n1_i (- (+ u (/ n0_i n1_i)) (/ (* n0_i u) n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_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 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -1 u)))>
#<alt (* n0_i (+ 1 (* -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 (- (/ n0_i u) n0_i))>
#<alt (* u (- (/ n0_i u) n0_i))>
#<alt (* u (- (/ n0_i u) n0_i))>
#<alt (* -1 (* n0_i u))>
#<alt (* -1 (* u (- (* -1 (/ n0_i u)) (* -1 n0_i))))>
#<alt (* -1 (* u (- (* -1 (/ n0_i u)) (* -1 n0_i))))>
#<alt (* -1 (* u (- (* -1 (/ n0_i u)) (* -1 n0_i))))>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n0_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<alt (* n1_i u)>
#<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 (* n0_i (* u (- (/ 1 u) 1)))>
#<alt (* n0_i (* u (- (/ 1 u) 1)))>
#<alt (* n0_i (* u (- (/ 1 u) 1)))>
#<alt (* n0_i (* u (- (/ 1 u) 1)))>
#<alt (* n0_i (* u (- (/ 1 u) 1)))>
#<alt (* n0_i (* u (- (/ 1 u) 1)))>
#<alt (* n0_i (* u (- (/ 1 u) 1)))>
#<alt (* n0_i (* u (- (/ 1 u) 1)))>
#<alt (* -1 (* n0_i (* u (- 1 (/ 1 u)))))>
#<alt (* -1 (* n0_i (* u (- 1 (/ 1 u)))))>
#<alt (* -1 (* n0_i (* u (- 1 (/ 1 u)))))>
#<alt (* -1 (* n0_i (* u (- 1 (/ 1 u)))))>
#<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 (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ n0_i u)>
#<alt (/ 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 (* 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 (* -1 n0_i)))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))>
#<alt (* -1 (* u (+ n0_i (* -1 n1_i))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))>
#<alt (* n1_i u)>
#<alt (+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u))>
#<alt (+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u))>
#<alt (+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u))>
#<alt (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))>
#<alt (* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (+ 1 u))))>
#<alt (* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (+ 1 u))))>
#<alt (* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (+ 1 u))))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (- 1 (pow u 2)) (+ 1 u))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (- 1 (pow u 2)) (+ 1 u))))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (- 1 (pow u 2)) (+ 1 u))))))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (+ (* n1_i u) (/ (* n0_i (- 1 (pow u 2))) (+ 1 u)))>
#<alt (+ (* n1_i u) (/ (* n0_i (- 1 (pow u 2))) (+ 1 u)))>
#<alt (+ (* n1_i u) (/ (* n0_i (- 1 (pow u 2))) (+ 1 u)))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))>
#<alt (* n1_i (+ u (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 (pow u 2))) (* n1_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 (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt (/ (* n0_i (- 1 (pow u 2))) (+ 1 u))>
#<alt 1>
#<alt (+ 1 (* -1 (pow u 2)))>
#<alt (+ 1 (* -1 (pow u 2)))>
#<alt (+ 1 (* -1 (pow u 2)))>
#<alt (* -1 (pow u 2))>
#<alt (* (pow u 2) (- (/ 1 (pow u 2)) 1))>
#<alt (* (pow u 2) (- (/ 1 (pow u 2)) 1))>
#<alt (* (pow u 2) (- (/ 1 (pow u 2)) 1))>
#<alt (* -1 (pow u 2))>
#<alt (* (pow u 2) (- (/ 1 (pow u 2)) 1))>
#<alt (* (pow u 2) (- (/ 1 (pow u 2)) 1))>
#<alt (* (pow u 2) (- (/ 1 (pow u 2)) 1))>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt n0_i>
#<alt (/ (* n1_i (* 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>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (/ (* 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 (/ (* 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 1>
#<alt (+ 1 (* -1 u))>
#<alt (+ 1 (* u (- u 1)))>
#<alt (+ 1 (* u (- (* u (+ 1 (* -1 u))) 1)))>
#<alt (/ 1 u)>
#<alt (/ (- 1 (/ 1 u)) u)>
#<alt (/ (- (+ 1 (/ 1 (pow u 2))) (/ 1 u)) u)>
#<alt (/ (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3)))) u)>
#<alt (/ 1 u)>
#<alt (* -1 (/ (- (/ 1 u) 1) u))>
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u))>
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1) u))>
#<alt 1>
#<alt (+ 1 (* 1/6 (pow normAngle 2)))>
#<alt (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))>
#<alt (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))>
#<alt (/ normAngle (sin normAngle))>
#<alt (/ normAngle (sin normAngle))>
#<alt (/ normAngle (sin normAngle))>
#<alt (/ normAngle (sin normAngle))>
#<alt (/ normAngle (sin normAngle))>
#<alt (/ normAngle (sin normAngle))>
#<alt (/ normAngle (sin normAngle))>
#<alt (/ normAngle (sin normAngle))>
#<alt 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

99 calls:

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

rewrite378.0ms (3.4%)

Memory

-22.2MiB live, 673.5MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

7 664×	`lower-fma.f64`
7 664×	`lower-fma.f32`
4 264×	`lower-*.f64`
4 248×	`lower-*.f32`
4 146×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	115
0	43	93
1	182	83
2	1465	83
0	8208	82

Stop Event

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

Counts

17 → 837

Calls

Call 1

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

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

simplify413.0ms (3.7%)

Memory

40.7MiB live, 673.3MiB allocated

Algorithm

1×	egg-herbie

Rules

11 524×	`lower-fma.f64`
11 524×	`lower-fma.f32`
4 866×	`lower-*.f64`
4 866×	`lower-*.f32`
3 112×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	248	2754
1	806	2656
2	2487	2580
3	7038	2580
0	8091	2458

Stop Event

1×	iter limit
1×	node limit

Counts

396 → 374

Calls

Call 1

Inputs
(* n1_i u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (* n1_i u))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(* n0_i (+ 1 (* -1 u)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (+ 1 (* -1 u)))))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (+ 1 (* -1 u)))))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (+ 1 (* -1 u)))))
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))
(* -1 (* u (- (* -1 n1_i) (* -1 n0_i))))
(* -1 (* u (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 n0_i))))
(* -1 (* u (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 n0_i))))
(* -1 (* u (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 n0_i))))
(- n0_i (* n0_i u))
(- (+ n0_i (* n1_i u)) (* n0_i u))
(- (+ n0_i (* n1_i u)) (* n0_i u))
(- (+ n0_i (* n1_i u)) (* n0_i u))
(* n1_i u)
(* n1_i (- (+ u (/ n0_i n1_i)) (/ (* n0_i u) n1_i)))
(* n1_i (- (+ u (/ n0_i n1_i)) (/ (* n0_i u) n1_i)))
(* n1_i (- (+ u (/ n0_i n1_i)) (/ (* n0_i u) n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (- n0_i (* n0_i u)) n1_i)))))
(* 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 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -1 u)))
(* n0_i (+ 1 (* -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 (- (/ n0_i u) n0_i))
(* u (- (/ n0_i u) n0_i))
(* u (- (/ n0_i u) n0_i))
(* -1 (* n0_i u))
(* -1 (* u (- (* -1 (/ n0_i u)) (* -1 n0_i))))
(* -1 (* u (- (* -1 (/ n0_i u)) (* -1 n0_i))))
(* -1 (* u (- (* -1 (/ n0_i u)) (* -1 n0_i))))
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n0_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
(* n1_i u)
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)))))
(* n0_i (* u (- (/ 1 u) 1)))
(* n0_i (* u (- (/ 1 u) 1)))
(* n0_i (* u (- (/ 1 u) 1)))
(* n0_i (* u (- (/ 1 u) 1)))
(* n0_i (* u (- (/ 1 u) 1)))
(* n0_i (* u (- (/ 1 u) 1)))
(* n0_i (* u (- (/ 1 u) 1)))
(* n0_i (* u (- (/ 1 u) 1)))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* 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)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ n0_i u)
(/ 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))))
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 (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* n1_i u)
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u))
(+ (* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u)))) (* n1_i u))
(* n0_i (- (/ 1 (+ 1 u)) (/ (pow u 2) (+ 1 u))))
(* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (+ 1 u))))
(* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (+ 1 u))))
(* n0_i (- (+ (/ 1 (+ 1 u)) (/ (* n1_i u) n0_i)) (/ (pow u 2) (+ 1 u))))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (- 1 (pow u 2)) (+ 1 u))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (- 1 (pow u 2)) (+ 1 u))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* -1 (/ (- 1 (pow u 2)) (+ 1 u))))))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(+ (* n1_i u) (/ (* n0_i (- 1 (pow u 2))) (+ 1 u)))
(+ (* n1_i u) (/ (* n0_i (- 1 (pow u 2))) (+ 1 u)))
(+ (* n1_i u) (/ (* n0_i (- 1 (pow u 2))) (+ 1 u)))
(* n1_i u)
(* n1_i (+ u (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))
(* n1_i (+ u (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))
(* n1_i (+ u (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 (pow u 2))) (* n1_i (+ 1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 (pow u 2))) (* n1_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)))))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
(/ (* n0_i (- 1 (pow u 2))) (+ 1 u))
1
(+ 1 (* -1 (pow u 2)))
(+ 1 (* -1 (pow u 2)))
(+ 1 (* -1 (pow u 2)))
(* -1 (pow u 2))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* -1 (pow u 2))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
(* (pow u 2) (- (/ 1 (pow u 2)) 1))
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
n0_i
(/ (* n1_i (* 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
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* 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))
(/ (* 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))
1
(+ 1 (* -1 u))
(+ 1 (* u (- u 1)))
(+ 1 (* u (- (* u (+ 1 (* -1 u))) 1)))
(/ 1 u)
(/ (- 1 (/ 1 u)) u)
(/ (- (+ 1 (/ 1 (pow u 2))) (/ 1 u)) u)
(/ (- (+ 1 (/ 1 (pow u 2))) (+ (/ 1 u) (/ 1 (pow u 3)))) u)
(/ 1 u)
(* -1 (/ (- (/ 1 u) 1) u))
(* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 u) 1) u)) 1) u)) 1) u))
1
(+ 1 (* 1/6 (pow normAngle 2)))
(+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))
(+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2)))))))
(/ normAngle (sin normAngle))
(/ normAngle (sin normAngle))
(/ normAngle (sin normAngle))
(/ normAngle (sin normAngle))
(/ normAngle (sin normAngle))
(/ normAngle (sin normAngle))
(/ normAngle (sin normAngle))
(/ normAngle (sin normAngle))
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
(* n1_i u)
(*.f32 n1_i u)
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(* n0_i (- 1 u))
(fma.f32 u (neg.f32 n0_i) n0_i)
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* n0_i (+ 1 (* -1 u)))
(fma.f32 u (neg.f32 n0_i) n0_i)
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (+ 1 (* -1 u)))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (+ 1 (* -1 u)))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) (+ 1 (* -1 u)))))
(fma.f32 n0_i (fma.f32 n1_i (/.f32 u n0_i) (neg.f32 u)) n0_i)
n0_i
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(+ n0_i (* u (- n1_i n0_i)))
(fma.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 u)) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(* u (- (+ n1_i (/ n0_i u)) n0_i))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(* -1 (* u (- (* -1 n1_i) (* -1 n0_i))))
(*.f32 u (-.f32 n1_i n0_i))
(* -1 (* u (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 n0_i))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(* -1 (* u (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 n0_i))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
(* -1 (* u (- (+ (* -1 n1_i) (* -1 (/ n0_i u))) (* -1 n0_i))))
(fma.f32 u (-.f32 n1_i n0_i) n0_i)
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#s(literal 1 binary32)
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(/ normAngle (sin normAngle))
(/.f32 normAngle (sin.f32 normAngle))
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(* normAngle (+ 1 (* -1/6 (pow normAngle 2))))
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(* normAngle (+ 1 (* (pow normAngle 2) (- (* 1/120 (pow normAngle 2)) 1/6))))
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(* normAngle (+ 1 (* (pow normAngle 2) (- (* (pow normAngle 2) (+ 1/120 (* -1/5040 (pow normAngle 2)))) 1/6))))
(fma.f32 (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (.f32 normAngle #s(literal -1/5040 binary32)) #s(literal 1/120 binary32))) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)
(sin normAngle)
(sin.f32 normAngle)

eval122.0ms (1.1%)

Memory: -24.7MiB live, 259.2MiB allocated
Compiler: Compiled 27 702 to 2 363 computations (91.5% saved)

prune208.0ms (1.9%)

Memory

32.9MiB live, 343.2MiB allocated

Pruning

39 alts after pruning (34 fresh and 5 done)

	Pruned	Kept	Total
New	1 258	9	1 267
Fresh	6	25	31
Picked	2	3	5
Done	1	2	3
Total	1 267	39	1 306

Accuracy

100.0%

Counts

1 306 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.4%	(fma.f32 u (-.f32 n1_i n0_i) n0_i)
	38.4%	(fma.f32 n0_i (fma.f32 u (/.f32 #s(literal 1 binary32) u) (neg.f32 u)) (*.f32 u n1_i))
	38.4%	(fma.f32 n0_i (fma.f32 #s(literal -1 binary32) u #s(literal 1 binary32)) (*.f32 u n1_i))
	38.4%	(fma.f32 #s(literal 1 binary32) (fma.f32 n0_i (neg.f32 u) n0_i) (*.f32 u n1_i))
	32.0%	(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
	76.6%	(-.f32 (/.f32 (.f32 n0_i n0_i) (+.f32 n0_i (.f32 u (-.f32 n0_i n1_i)))) (/.f32 (.f32 (.f32 u u) (.f32 (-.f32 n0_i n1_i) (-.f32 n0_i n1_i))) (+.f32 n0_i (.f32 u (-.f32 n0_i n1_i)))))
	98.5%	(-.f32 n0_i (*.f32 u (-.f32 n0_i n1_i)))
	82.4%	(+.f32 (fma.f32 #s(literal -1 binary32) (.f32 n0_i u) n0_i) (.f32 u n1_i))
	72.7%	(+.f32 (/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle)) n0_i)
✓	98.4%	(+.f32 (-.f32 n0_i (.f32 u n0_i)) (.f32 u n1_i))
	97.8%	(+.f32 (+.f32 n0_i (.f32 (neg.f32 u) n0_i)) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	37.4%	(+.f32 (.f32 (fma.f32 (fma.f32 u (+.f32 u #s(literal -1 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (neg.f32 (/.f32 (.f32 u u) (+.f32 u #s(literal 1 binary32))))) n0_i) (.f32 u n1_i))
	37.4%	(+.f32 (.f32 (fma.f32 (/.f32 (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (fma.f32 u (.f32 u u) #s(literal 1 binary32))) #s(literal 1 binary32)) (/.f32 (fma.f32 u (+.f32 u #s(literal -1 binary32)) #s(literal 1 binary32)) (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (neg.f32 (/.f32 (.f32 u u) (+.f32 u #s(literal 1 binary32))))) n0_i) (.f32 u n1_i))
	82.4%	(+.f32 (.f32 (fma.f32 (-.f32 #s(literal 0 binary32) (.f32 u (.f32 u u))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (fma.f32 u u (.f32 #s(literal 0 binary32) u)))) #s(literal 1 binary32)) n0_i) (*.f32 u n1_i))
	97.8%	(+.f32 (.f32 (/.f32 n0_i (fma.f32 u (neg.f32 u) #s(literal 1 binary32))) (/.f32 (fma.f32 u (neg.f32 u) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) (.f32 u n1_i))
	86.5%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 u normAngle)) n1_i) (sin.f32 normAngle)))
	86.4%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (/.f32 (.f32 normAngle (*.f32 u n1_i)) (sin.f32 normAngle)))
	70.2%	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (-.f32 (.f32 normAngle normAngle) (.f32 (.f32 u normAngle) (.f32 u normAngle))) (+.f32 normAngle (.f32 u normAngle)))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	95.9%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 u (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)) u) n1_i))
✓	97.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (*.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	97.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (neg.f32 (.f32 u (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) u)))) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (.f32 u normAngle) (sin.f32 normAngle)) n1_i))
	97.9%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
	83.0%	(+.f32 (.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) n0_i)
	82.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 u n1_i))
	59.7%	(.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 n0_i (sin.f32 normAngle)))
	37.9%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))
✓	59.6%	(*.f32 u (-.f32 (/.f32 n0_i u) n0_i))
	59.5%	(*.f32 u (-.f32 (/.f32 #s(literal 1 binary32) (/.f32 u n0_i)) n0_i))
	97.9%	(*.f32 u (-.f32 (+.f32 n1_i (/.f32 n0_i u)) n0_i))
	36.9%	(*.f32 u (-.f32 n1_i n0_i))
	82.4%	(*.f32 u (+.f32 n1_i (fma.f32 #s(literal 1 binary32) (neg.f32 n0_i) (/.f32 n0_i u))))
	82.4%	(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
✓	97.9%	(*.f32 u (+.f32 n1_i (-.f32 (/.f32 n0_i u) n0_i)))
	97.5%	(.f32 u (+.f32 n1_i (.f32 (/.f32 (+.f32 n0_i (/.f32 n0_i u)) n0_i) (/.f32 (-.f32 (/.f32 n0_i u) n0_i) (+.f32 (/.f32 #s(literal 1 binary32) u) #s(literal 1 binary32))))))
	38.8%	(.f32 u (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))))
	38.4%	(*.f32 u n1_i)
	59.9%	(.f32 n0_i (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)))
	59.9%	(*.f32 n0_i (-.f32 #s(literal 1 binary32) u))
✓	48.4%	n0_i

Compiler

Compiled 1 929 to 697 computations (63.9% saved)

regimes114.0ms (1%)

Memory

-43.1MiB live, 208.2MiB allocated

Counts

74 → 1

Calls

Call 1

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

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

Calls

5 calls:

24.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
24.0ms	u
23.0ms	n1_i
20.0ms	n0_i
19.0ms	normAngle

Results

Accuracy	Segments	Branch
98.5%	1	`normAngle`
98.5%	1	`u`
98.5%	1	`n0_i`
98.5%	1	`n1_i`
98.5%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes14.0ms (0.1%)

Memory

20.5MiB live, 20.5MiB allocated

Counts

6 → 3

Calls

Call 1

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

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
59.9%	1	`normAngle`
59.9%	1	`u`
75.2%	3	`n0_i`
75.1%	3	`n1_i`
59.9%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes10.0ms (0.1%)

Memory

-17.5MiB live, 21.7MiB allocated

Counts

3 → 3

Calls

Call 1

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

Outputs
n0_i
(*.f32 u n1_i)
n0_i

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
56.2%	2	`u`
48.4%	1	`normAngle`
48.4%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
65.2%	3	`n1_i`
65.9%	3	`n0_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes5.0ms (0%)

Memory

8.9MiB live, 8.9MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

2 → 1

Calls

Call 1

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

Outputs
n0_i

Calls

3 calls:

1.0ms	n0_i
1.0ms	n1_i
1.0ms	u

Results

Accuracy	Segments	Branch
48.4%	1	`u`
48.4%	1	`n1_i`
48.4%	1	`n0_i`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch0.0ms (0%)

Memory

2.1MiB live, 2.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.601758938469482e-22	1.3846609654773797e-21
0.0ms	-1.6809884234791109e-21	-1.4719814305803591e-21

Compiler

Compiled 32 to 24 computations (25% saved)

bsearch0.0ms (0%)

Memory

1.7MiB live, 1.7MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	2.601758938469482e-22	1.3846609654773797e-21
0.0ms	-1.6809884234791109e-21	-1.4719814305803591e-21

Compiler

Compiled 32 to 24 computations (25% saved)

simplify19.0ms (0.2%)

Memory

-3.2MiB live, 33.7MiB allocated

Algorithm

1×	egg-herbie

Rules

166×	`unsub-neg_binary32`
100×	`neg-mul-1_binary32`
94×	`distribute-lft-neg-in_binary32`
54×	`neg-sub0_binary32`
42×	`distribute-neg-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	42
1	32	42
2	47	42
3	59	42
4	79	42
5	106	42
6	127	42
7	179	42
8	272	42
9	324	42
10	334	42
11	349	42
12	369	42
13	395	42
14	428	42
15	434	42
16	435	42

Stop Event

1×

saturated

Calls

Call 1

Inputs
(-.f32 n0_i (*.f32 u (-.f32 n0_i n1_i)))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) (.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) n0_i (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) (*.f32 u n1_i) n0_i))
n0_i

Outputs
(-.f32 n0_i (*.f32 u (-.f32 n0_i n1_i)))
(+.f32 n0_i (*.f32 u (-.f32 n1_i n0_i)))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) (.f32 n0_i (-.f32 #s(literal 1 binary32) u)) (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) (.f32 u n1_i) (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(if (<=.f32 n0_i #s(literal -928455/618970019642690137449562112 binary32)) n0_i (if (<=.f32 n0_i #s(literal 309485/618970019642690137449562112 binary32)) (*.f32 u n1_i) n0_i))
n0_i

soundness728.0ms (6.5%)

Memory

-7.0MiB live, 802.8MiB allocated

Rules

13 686×	`lower-fma.f64`
13 686×	`lower-fma.f32`
12 022×	`lower-fma.f64`
12 022×	`lower-fma.f32`
7 664×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	115
0	43	93
1	182	83
2	1465	83
0	8208	82
0	28	126
0	51	113
1	199	112
2	1549	112
0	8340	109
0	754	9127
1	2582	8618
0	8088	8263
0	321	2830
1	987	2714
2	3385	2654
0	8124	2540
0	35	202
0	67	184
1	230	184
2	1513	184
0	8596	181

Stop Event

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

Compiler

Compiled 211 to 134 computations (36.5% saved)

preprocess78.0ms (0.7%)

Memory: 9.0MiB live, 81.2MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 194 to 100 computations (48.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	18	42
1	32	42
2	47	42
3	59	42
4	79	42
5	106	42
6	127	42
7	179	42
8	272	42
9	324	42
10	334	42
11	349	42
12	369	42
13	395	42
14	428	42
15	434	42
16	435	42

Iter	Nodes	Cost
0	18	42
1	32	42
2	47	42
3	59	42
4	79	42
5	106	42
6	127	42
7	179	42
8	272	42
9	324	42
10	334	42
11	349	42
12	369	42
13	395	42
14	428	42
15	434	42
16	435	42

analyze336.0ms (3%)

sample3.3s (29.2%)

preprocess134.0ms (1.2%)

explain222.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify105.0ms (0.9%)

localize64.0ms (0.6%)

series33.0ms (0.3%)

rewrite364.0ms (3.2%)

simplify519.0ms (4.6%)

eval39.0ms (0.3%)

prune59.0ms (0.5%)

simplify278.0ms (2.5%)

localize134.0ms (1.2%)

series109.0ms (1%)

rewrite401.0ms (3.6%)

simplify496.0ms (4.4%)

eval182.0ms (1.6%)

prune227.0ms (2%)

simplify398.0ms (3.5%)

localize87.0ms (0.8%)

series27.0ms (0.2%)

rewrite410.0ms (3.7%)

simplify471.0ms (4.2%)

eval136.0ms (1.2%)

prune205.0ms (1.8%)

simplify301.0ms (2.7%)

localize81.0ms (0.7%)

series24.0ms (0.2%)

rewrite378.0ms (3.4%)

simplify413.0ms (3.7%)

eval122.0ms (1.1%)

prune208.0ms (1.9%)

regimes114.0ms (1%)

regimes14.0ms (0.1%)

regimes10.0ms (0.1%)

regimes5.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

simplify19.0ms (0.2%)

soundness728.0ms (6.5%)

preprocess78.0ms (0.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	18	42
1	32	42
2	47	42
3	59	42
4	79	42
5	106	42
6	127	42
7	179	42
8	272	42
9	324	42
10	334	42
11	349	42
12	369	42
13	395	42
14	428	42
15	434	42
16	435	42