Metrics for Curve intersection, scale width based on ribbon orientation

analyze303.0ms (1.6%)

Memory

-33.7MiB live, 803.3MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 59 to 39 computations (33.9% saved)

sample3.6s (19.3%)

Memory

-27.5MiB live, 4 600.3MiB allocated

Samples

2.0s	8 256×	0	valid
791.0ms	2 040×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.3s

ival-mult: 732.0ms (32.3% of total)

ival-sin: 441.0ms (19.4% of total)

ival-<=: 312.0ms (13.8% of total)

ival-div: 290.0ms (12.8% of total)

const: 264.0ms (11.6% of total)

ival-sub: 64.0ms (2.8% of total)

ival-and: 51.0ms (2.2% of total)

ival-add: 47.0ms (2.1% of total)

ival-pi: 41.0ms (1.8% of total)

exact: 22.0ms (1% of total)

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

Bogosity

preprocess128.0ms (0.7%)

Memory

-10.7MiB live, 104.4MiB 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))

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))

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)

explain253.0ms (1.3%)

Memory

9.7MiB live, 322.9MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
23	-	19	(7.46373790385117e-32 4.173540957275179e-10 9.00755026123079e-9 -9.74702161035166e-30)	`(.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**	4	0

Confusion

	Predicted +	Predicted -
+	0	5
-	4	247

Precision

0.0

Recall

0.0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	5
-	4	0	247

Precision?

0.0

Recall?

0.0

Freqs

test

number	freq
0	252
1	4

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

85.0ms	496×	0	valid
4.0ms	16×	1	valid

Compiler

Compiled 264 to 72 computations (72.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 68.0ms

ival-mult: 46.0ms (67.7% of total)

ival-sin: 12.0ms (17.6% of total)

ival-div: 4.0ms (5.9% of total)

ival-add: 2.0ms (2.9% of total)

ival-sub: 2.0ms (2.9% of total)

adjust: 1.0ms (1.5% 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: 0.5MiB live, 0.5MiB allocated
Compiler: Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory

1.9MiB live, 1.9MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(+.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))

Status

Accuracy

Program

▶

98.0%

(+.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))

Compiler

Compiled 29 to 17 computations (41.4% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize52.0ms (0.3%)

Memory

8.0MiB live, 86.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.5%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	94.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

32.0ms	248×	0	valid
2.0ms	8×	1	valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-sin: 9.0ms (37.9% of total)

ival-mult: 8.0ms (33.7% of total)

ival-div: 2.0ms (8.4% of total)

ival-add: 2.0ms (8.4% of total)

ival-sub: 1.0ms (4.2% 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)

series21.0ms (0.1%)

Memory

4.3MiB live, 41.2MiB allocated

Counts

4 → 108

Calls

Call 1

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

27 calls:

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

rewrite300.0ms (1.6%)

Memory

25.9MiB live, 373.3MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

3 974×	`lower-/.f64`
3 972×	`lower-/.f32`
3 934×	`lower-fma.f64`
3 934×	`lower-fma.f32`
3 488×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	38
0	24	32
1	62	32
2	256	32
3	1573	32
0	9390	32

Stop Event

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

Counts

4 → 198

Calls

Call 1

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

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

simplify355.0ms (1.9%)

Memory

-51.1MiB live, 690.9MiB allocated

Algorithm

1×	egg-herbie

Rules

10 772×	`lower-fma.f64`
10 772×	`lower-fma.f32`
4 574×	`lower-*.f64`
4 574×	`lower-*.f32`
3 890×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	221	1517
1	631	1440
2	2036	1412
3	6714	1412
0	8220	1364

Stop Event

1×	iter limit
1×	node limit

Counts

108 → 105

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

eval31.0ms (0.2%)

Memory: 1.0MiB live, 77.4MiB allocated
Compiler: Compiled 9 242 to 1 110 computations (88% saved)

prune49.0ms (0.3%)

Memory

3.9MiB live, 123.4MiB allocated

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	286	17	303
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	287	17	304

Accuracy

99.9%

Counts

304 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(+.f32 (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 u #s(literal -1 binary32)))) (.f32 #s(literal 1/36 binary32) (.f32 (+.f32 u #s(literal -1 binary32)) (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)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.0%	(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	81.4%	(+.f32 (/.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.1%	(+.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.1%	(+.f32 (/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.0%	(+.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) n0_i)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶	98.1%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
▶	98.1%	(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) 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 #s(literal 1 binary32) u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	92.2%	(+.f32 (.f32 (.f32 (sin.f32 (/.f32 (.f32 normAngle (fma.f32 u (.f32 u u) #s(literal 1 binary32))) (+.f32 u (fma.f32 u u #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u) n1_i))
	98.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (fma.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))))) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 u u) #s(literal 1/6 binary32))))) u) n1_i))
▶	98.2%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	97.9%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (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))
▶	99.1%	(+.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 u (fma.f32 (.f32 u u) (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)) (.f32 (.f32 u (*.f32 u (pow.f32 normAngle #s(literal 5 binary32)))) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)))) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
	98.7%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
▶	81.0%	(+.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))

Compiler

Compiled 1 150 to 692 computations (39.8% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize241.0ms (1.3%)

Memory

15.5MiB live, 523.3MiB allocated

Localize:

Found 20 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.5%	(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
✓	accuracy	99.5%	(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) n0_i)
✓	accuracy	98.9%	(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
✓	accuracy	94.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.5%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	98.8%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	95.1%	(/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle))
✓	accuracy	98.9%	(fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))
✓	accuracy	98.9%	(*.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32)))
✓	accuracy	94.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	57.3%	(fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))
✓	accuracy	99.9%	(+.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))
✓	accuracy	99.9%	(.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i)
✓	accuracy	99.9%	(/.f32 #s(literal 1 binary32) (sin.f32 normAngle))
✓	accuracy	94.6%	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	98.8%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	98.2%	(.f32 (.f32 u (*.f32 u (pow.f32 normAngle #s(literal 5 binary32)))) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)))
✓	accuracy	98.1%	(/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle))
✓	accuracy	88.3%	(fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)) (.f32 (.f32 u (*.f32 u (pow.f32 normAngle #s(literal 5 binary32)))) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle))))

Samples

110.0ms	246×	0	valid
6.0ms	8×	1	valid
4.0ms	2×	5	exit

Compiler

Compiled 706 to 62 computations (91.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 35.0ms (40.2% of total)

ival-add: 13.0ms (14.9% of total)

ival-div: 11.0ms (12.6% of total)

const: 10.0ms (11.5% of total)

ival-sin: 8.0ms (9.2% of total)

ival-sub: 5.0ms (5.7% of total)

ival-pow: 3.0ms (3.4% of total)

adjust: 2.0ms (2.3% of total)

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

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

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

exact: 0.0ms (0% of total)

series86.0ms (0.5%)

Memory

10.1MiB live, 97.6MiB allocated

Counts

17 → 408

Calls

Call 1

Inputs
#<alt (fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)) (.f32 (.f32 u (*.f32 u (pow.f32 normAngle #s(literal 5 binary32)))) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle))))>
#<alt (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle))>
#<alt (.f32 (.f32 u (*.f32 u (pow.f32 normAngle #s(literal 5 binary32)))) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)))>
#<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 #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 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))>
#<alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))>
#<alt (*.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)))>
#<alt (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32))>
#<alt (/.f32 (sin.f32 (*.f32 u normAngle)) (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)>
#<alt (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) n0_i)>
#<alt (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))>

Outputs
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (pow u 2)) 1/36)) 1/6))>
#<alt (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (- (* 1/720 (pow u 2)) 7/2160))) 1/36)) 1/6))>
#<alt (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (- (+ (* 1/720 (pow u 2)) (* (pow normAngle 2) (- (* -1/120 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2)))) 31/90720))) 7/2160))) 1/36)) 1/6))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* (pow normAngle 5) (- (* 1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle))))))>
#<alt (* (pow normAngle 5) (- (* 1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle))))))>
#<alt (* (pow normAngle 5) (- (* 1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle))))))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* -1 (* (pow normAngle 5) (+ (* -1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle)))))))>
#<alt (* -1 (* (pow normAngle 5) (+ (* -1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle)))))))>
#<alt (* -1 (* (pow normAngle 5) (+ (* -1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle)))))))>
#<alt (* -1/6 (/ (pow normAngle 3) (sin normAngle)))>
#<alt (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))>
#<alt (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))>
#<alt (+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))>
#<alt (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))>
#<alt (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))>
#<alt (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))>
#<alt (* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))>
#<alt (/ 1/120 normAngle)>
#<alt (/ (+ 1/120 (* 1/720 (pow normAngle 2))) normAngle)>
#<alt (/ (+ 1/120 (* (pow normAngle 2) (+ 1/720 (* 7/43200 (pow normAngle 2))))) normAngle)>
#<alt (/ (+ 1/120 (* (pow normAngle 2) (+ 1/720 (* (pow normAngle 2) (+ 7/43200 (* 31/1814400 (pow normAngle 2))))))) normAngle)>
#<alt (/ 1/120 (sin normAngle))>
#<alt (/ 1/120 (sin normAngle))>
#<alt (/ 1/120 (sin normAngle))>
#<alt (/ 1/120 (sin normAngle))>
#<alt (/ 1/120 (sin normAngle))>
#<alt (/ 1/120 (sin normAngle))>
#<alt (/ 1/120 (sin normAngle))>
#<alt (/ 1/120 (sin normAngle))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (* (pow normAngle 4) (pow u 2)))>
#<alt (* (pow normAngle 4) (+ (* 1/720 (* (pow normAngle 2) (pow u 2))) (* 1/120 (pow u 2))))>
#<alt (* (pow normAngle 4) (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (+ (* -1/120 (* (pow normAngle 2) (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))) (* 1/720 (pow u 2))))))>
#<alt (* (pow normAngle 4) (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (+ (* 1/720 (pow u 2)) (* (pow normAngle 2) (+ (* -1/120 (* (pow normAngle 2) (+ (* -1/5040 (pow u 2)) (+ (* 1/720 (pow u 2)) (* 1/6 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2)))))))) (* -1/120 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))))))))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))>
#<alt (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (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 (/ 1 normAngle)>
#<alt (/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)>
#<alt (/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)>
#<alt (/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ 1 (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (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 (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))>
#<alt (* -2 u)>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (* u (- u 2))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (pow u 2)>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* (pow u 2) (- 1 (* 2 (/ 1 u))))>
#<alt (* 1/3 u)>
#<alt (* u (+ 1/3 (* -1/2 u)))>
#<alt (* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))>
#<alt (* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))>
#<alt (* 1/6 (pow u 3))>
#<alt (* (pow u 3) (- 1/6 (* 1/2 (/ 1 u))))>
#<alt (* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))>
#<alt (* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))>
#<alt (* 1/6 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6)))>
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))>
#<alt (* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))>
#<alt -1/6>
#<alt (- (* 1/6 u) 1/6)>
#<alt (- (* 1/6 u) 1/6)>
#<alt (- (* 1/6 u) 1/6)>
#<alt (* 1/6 u)>
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))>
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))>
#<alt (* u (- 1/6 (* 1/6 (/ 1 u))))>
#<alt (* 1/6 u)>
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))>
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))>
#<alt (* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))>
#<alt (/ (* normAngle 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))>
#<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 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 (* 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 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 (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 (/ 1 (+ 1 (* -1 u)))>
#<alt (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (/ 1 (+ 1 (* -1 u))))>
#<alt (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (+ 1 (* -1 u)))) (+ (* 1/120 (pow (+ 1 (* -1 u)) 3)) (* 1/6 (* (pow (+ 1 (* -1 u)) 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (/ 1 (+ 1 (* -1 u))))>
#<alt (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (+ 1 (* -1 u)) 2) (- (* 1/120 (/ 1 (+ 1 (* -1 u)))) (+ (* 1/120 (pow (+ 1 (* -1 u)) 3)) (* 1/6 (* (pow (+ 1 (* -1 u)) 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))))))) (+ (* -1/120 (* (pow (+ 1 (* -1 u)) 4) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (+ (* -1/5040 (pow (+ 1 (* -1 u)) 5)) (* 1/5040 (/ 1 (+ 1 (* -1 u))))))))) (* 1/120 (/ 1 (+ 1 (* -1 u))))) (+ (* 1/120 (pow (+ 1 (* -1 u)) 3)) (* 1/6 (* (pow (+ 1 (* -1 u)) 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (/ 1 (+ 1 (* -1 u))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (- (* -1 (* normAngle u)) (* -1 normAngle))))>
#<alt (/ (sin normAngle) (sin (- (* -1 (* normAngle u)) (* -1 normAngle))))>
#<alt (/ (sin normAngle) (sin (- (* -1 (* normAngle u)) (* -1 normAngle))))>
#<alt (/ (sin normAngle) (sin (- (* -1 (* normAngle u)) (* -1 normAngle))))>
#<alt 1>
#<alt (+ 1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))>
#<alt (+ 1 (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))))))>
#<alt (+ 1 (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>
#<alt (/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))>

Calls

102 calls:

Time	Variable		Point	Expression
23.0ms	normAngle	@	inf	(* (/ 1 (/ (sin normAngle) (sin (+ (* normAngle (neg u)) normAngle)))) n0_i)
15.0ms	u	@	-inf	(* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)
7.0ms	normAngle	@	-inf	(/ 1 (/ (sin normAngle) (sin (+ (* normAngle (neg u)) normAngle))))
4.0ms	normAngle	@	inf	(+ (* (* normAngle (* normAngle normAngle)) (/ -1/6 (sin normAngle))) (* (* u (* u (pow normAngle 5))) (/ 1/120 (sin normAngle))))
2.0ms	normAngle	@	0	(/ 1 (/ (sin normAngle) (sin (+ (* normAngle (neg u)) normAngle))))

rewrite405.0ms (2.2%)

Memory

-23.0MiB live, 575.2MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 126×	`lower-fma.f64`
5 118×	`lower-fma.f32`
4 554×	`lower-/.f64`
4 542×	`lower-/.f32`
4 118×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	171
0	78	151
1	266	151
2	1671	151
0	8293	148

Stop Event

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

Counts

17 → 934

Calls

Call 1

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

Outputs
(+.f32 (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(+.f32 (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (sin.f32 normAngle) #s(literal -6 binary32))) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(+.f32 (/.f32 (/.f32 (.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (/.f32 (-.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (.f32 (.f32 u (pow.f32 normAngle #s(literal 5 binary32))) (.f32 u #s(literal 1/120 binary32)))) (sin.f32 normAngle))) (neg.f32 (/.f32 (pow.f32 (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (.f32 (.f32 u (pow.f32 normAngle #s(literal 5 binary32))) (.f32 u #s(literal 1/120 binary32)))) (sin.f32 normAngle)))))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) (/.f32 normAngle (.f32 (sin.f32 normAngle) #s(literal -6 binary32))) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (*.f32 (sin.f32 normAngle) #s(literal 120 binary32))))) #s(literal -1 binary32))
(fma.f32 normAngle (/.f32 (.f32 normAngle normAngle) (.f32 (sin.f32 normAngle) #s(literal -6 binary32))) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (*.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 (.f32 normAngle normAngle) (/.f32 normAngle (.f32 (sin.f32 normAngle) #s(literal -6 binary32))) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (*.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 (.f32 normAngle (.f32 normAngle normAngle)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (*.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 normAngle (.f32 normAngle normAngle))) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (sin.f32 normAngle)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (*.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)) (.f32 normAngle (.f32 normAngle normAngle)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (*.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal 1 binary32)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (*.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 u (/.f32 (.f32 u (pow.f32 normAngle #s(literal 5 binary32))) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 (.f32 u (pow.f32 normAngle #s(literal 5 binary32))) (/.f32 u (.f32 (sin.f32 normAngle) #s(literal 120 binary32))) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 #s(literal 1/120 binary32) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u))) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 #s(literal 1/120 binary32) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (sin.f32 normAngle)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)) (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 (/.f32 #s(literal 1/120 binary32) (sin.f32 normAngle)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) #s(literal 1 binary32)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (sin.f32 normAngle) #s(literal -6 binary32))) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) #s(literal -6 binary32)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (*.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) #s(literal 120 binary32)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 (/.f32 (.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)))) (-.f32 #s(literal 1/2 binary32) (.f32 #s(literal 1/2 binary32) (cos.f32 (.f32 #s(literal 2 binary32) normAngle))))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (.f32 (.f32 u (pow.f32 normAngle #s(literal 5 binary32))) (.f32 u #s(literal 1/120 binary32)))) (sin.f32 normAngle))) (neg.f32 (/.f32 (pow.f32 (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))) #s(literal 2 binary32)) (/.f32 (-.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))) (.f32 (.f32 u (pow.f32 normAngle #s(literal 5 binary32))) (.f32 u #s(literal 1/120 binary32)))) (sin.f32 normAngle)))))
(fma.f32 (.f32 u u) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 (/.f32 (.f32 u (pow.f32 normAngle #s(literal 5 binary32))) (.f32 (sin.f32 normAngle) #s(literal 120 binary32))) u (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
(fma.f32 (/.f32 (.f32 normAngle normAngle) (.f32 (sin.f32 normAngle) #s(literal -6 binary32))) normAngle (/.f32 (.f32 (pow.f32 normAngle #s(literal 5 binary32)) (.f32 u u)) (*.f32 (sin.f32 normAngle) #s(literal 120 binary32))))
(fma.f32 (.f32 (.f32 u (pow.f32 normAngle #s(literal 5 binary32))) (.f32 u #s(literal 1/120 binary32))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (sin.f32 normAngle) #s(literal -6 binary32))))
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(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(pow.f32 (pow.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) #s(literal -1/2 binary32))
(pow.f32 (exp.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))) #s(literal -1 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (neg.f32 (sin.f32 (.f32 normAngle u))) (cos.f32 normAngle)) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (cos.f32 (*.f32 normAngle u)))))
(fma.f32 (.f32 (neg.f32 (sin.f32 (.f32 normAngle u))) (cos.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u))) (sin.f32 normAngle)))
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(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -1 binary32))))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
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(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.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)))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) #s(literal -1 binary32))
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(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -1 binary32))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
(/.f32 (+.f32 (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (neg.f32 (sin.f32 (.f32 normAngle u))) (cos.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u)))) #s(literal 3 binary32))) (fma.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (neg.f32 (sin.f32 (.f32 normAngle u))) (cos.f32 normAngle))) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (neg.f32 (sin.f32 (.f32 normAngle u))) (cos.f32 normAngle))) (-.f32 (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u)))) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u))))) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (neg.f32 (sin.f32 (.f32 normAngle u))) (cos.f32 normAngle))) (.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (cos.f32 (.f32 normAngle u))))))))
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(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))
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(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(.f32 #s(literal -1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
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(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(*.f32 (neg.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)) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (pow.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1/2 binary32)))
(.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 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 1 binary32)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
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(*.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
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(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 n0_i #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (*.f32 #s(literal -1 binary32) n0_i)))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) n0_i)))
(/.f32 (/.f32 n0_i (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (neg.f32 n0_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (neg.f32 (neg.f32 (sin.f32 normAngle))))
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(/.f32 (*.f32 #s(literal -1 binary32) n0_i) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) n0_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
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(/.f32 (neg.f32 (neg.f32 n0_i)) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 n0_i #s(literal -1 binary32))) (/.f32 (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)) (/.f32 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 n0_i (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)) n0_i))
(*.f32 n0_i (/.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)) n0_i)
(.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(*.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(.f32 (neg.f32 n0_i) (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))))
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (/.f32 n0_i (neg.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))))
(.f32 (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(.f32 (.f32 n0_i #s(literal -1 binary32)) (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(.f32 (.f32 #s(literal -1 binary32) n0_i) (*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 n0_i (neg.f32 (sin.f32 normAngle))) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 (/.f32 n0_i (neg.f32 (sin.f32 normAngle))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))))
(*.f32 (/.f32 n0_i (neg.f32 (sin.f32 normAngle))) (/.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(.f32 (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) #s(literal 1 binary32)) (.f32 n0_i (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(.f32 (/.f32 n0_i #s(literal -1 binary32)) (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(*.f32 (/.f32 (/.f32 n0_i (sin.f32 normAngle)) #s(literal 1 binary32)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(neg.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) #s(literal -1 binary32)))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) #s(literal -1 binary32)) #s(literal -1 binary32)))
(exp.f32 (neg.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))
(pow.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32)))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(-.f32 (/.f32 #s(literal 0 binary32) (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))) (/.f32 (sin.f32 normAngle) (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
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(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) (neg.f32 (sin.f32 normAngle))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))))
(/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal 1 binary32))
(/.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32))
(/.f32 (neg.f32 (sin.f32 normAngle)) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(/.f32 (neg.f32 (sin.f32 normAngle)) (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (sin.f32 normAngle))) (neg.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 normAngle))) (neg.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sin.f32 normAngle)))) (neg.f32 (neg.f32 (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))))
(*.f32 (sin.f32 normAngle) (/.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(.f32 #s(literal -1 binary32) (pow.f32 (.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal 1 binary32))
(*.f32 (/.f32 (neg.f32 (sin.f32 normAngle)) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) #s(literal -1 binary32))
(*.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(.f32 (neg.f32 (sin.f32 normAngle)) (/.f32 #s(literal 1 binary32) (.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))) (sin.f32 normAngle))
(*.f32 (neg.f32 (neg.f32 (sin.f32 normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))))
(*.f32 (pow.f32 (pow.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle)) #s(literal 1/2 binary32)) #s(literal -1 binary32)))

simplify429.0ms (2.3%)

Memory

34.4MiB live, 665.7MiB allocated

Algorithm

1×	egg-herbie

Rules

8 504×	`lower-fma.f64`
8 504×	`lower-fma.f32`
7 458×	`lower-*.f64`
7 458×	`lower-*.f32`
2 704×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	5989
1	1952	5749
2	6027	5738
0	8397	5477

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 399

Calls

Call 1

Inputs
(* -1/6 (pow normAngle 2))
(* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (pow u 2)) 1/36)) 1/6))
(* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (- (* 1/720 (pow u 2)) 7/2160))) 1/36)) 1/6))
(* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (- (+ (* 1/720 (pow u 2)) (* (pow normAngle 2) (- (* -1/120 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2)))) 31/90720))) 7/2160))) 1/36)) 1/6))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* (pow normAngle 5) (- (* 1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle))))))
(* (pow normAngle 5) (- (* 1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle))))))
(* (pow normAngle 5) (- (* 1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle))))))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* -1 (* (pow normAngle 5) (+ (* -1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle)))))))
(* -1 (* (pow normAngle 5) (+ (* -1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle)))))))
(* -1 (* (pow normAngle 5) (+ (* -1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle)))))))
(* -1/6 (/ (pow normAngle 3) (sin normAngle)))
(+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))
(+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))
(+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(/ 1/120 normAngle)
(/ (+ 1/120 (* 1/720 (pow normAngle 2))) normAngle)
(/ (+ 1/120 (* (pow normAngle 2) (+ 1/720 (* 7/43200 (pow normAngle 2))))) normAngle)
(/ (+ 1/120 (* (pow normAngle 2) (+ 1/720 (* (pow normAngle 2) (+ 7/43200 (* 31/1814400 (pow normAngle 2))))))) normAngle)
(/ 1/120 (sin normAngle))
(/ 1/120 (sin normAngle))
(/ 1/120 (sin normAngle))
(/ 1/120 (sin normAngle))
(/ 1/120 (sin normAngle))
(/ 1/120 (sin normAngle))
(/ 1/120 (sin normAngle))
(/ 1/120 (sin normAngle))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (* (pow normAngle 4) (pow u 2)))
(* (pow normAngle 4) (+ (* 1/720 (* (pow normAngle 2) (pow u 2))) (* 1/120 (pow u 2))))
(* (pow normAngle 4) (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (+ (* -1/120 (* (pow normAngle 2) (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))) (* 1/720 (pow u 2))))))
(* (pow normAngle 4) (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (+ (* 1/720 (pow u 2)) (* (pow normAngle 2) (+ (* -1/120 (* (pow normAngle 2) (+ (* -1/5040 (pow u 2)) (+ (* 1/720 (pow u 2)) (* 1/6 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2)))))))) (* -1/120 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2))))))))))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (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))
(/ 1 normAngle)
(/ (+ 1 (* 1/6 (pow normAngle 2))) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))) normAngle)
(/ (+ 1 (* (pow normAngle 2) (+ 1/6 (* (pow normAngle 2) (+ 7/360 (* 31/15120 (pow normAngle 2))))))) normAngle)
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ 1 (sin normAngle))
(/ (* n1_i (* normAngle u)) (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))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
n0_i
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
n0_i
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(* -2 u)
(* u (- u 2))
(* u (- u 2))
(* u (- u 2))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(pow u 2)
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* (pow u 2) (- 1 (* 2 (/ 1 u))))
(* 1/3 u)
(* u (+ 1/3 (* -1/2 u)))
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))
(* u (+ 1/3 (* u (- (* 1/6 u) 1/2))))
(* 1/6 (pow u 3))
(* (pow u 3) (- 1/6 (* 1/2 (/ 1 u))))
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))
(* (pow u 3) (- (+ 1/6 (/ 1/3 (pow u 2))) (* 1/2 (/ 1 u))))
(* 1/6 (pow u 3))
(* -1 (* (pow u 3) (- (* 1/2 (/ 1 u)) 1/6)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))
(* -1 (* (pow u 3) (- (* -1 (/ (- (* 1/3 (/ 1 u)) 1/2) u)) 1/6)))
-1/6
(- (* 1/6 u) 1/6)
(- (* 1/6 u) 1/6)
(- (* 1/6 u) 1/6)
(* 1/6 u)
(* u (- 1/6 (* 1/6 (/ 1 u))))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(* u (- 1/6 (* 1/6 (/ 1 u))))
(* 1/6 u)
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(* -1 (* u (- (* 1/6 (/ 1 u)) 1/6)))
(/ (* normAngle 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))
(+ 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))
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))
(* 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))
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 (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))
(/ 1 (+ 1 (* -1 u)))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (/ 1 (+ 1 (* -1 u))))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (+ 1 (* -1 u)))) (+ (* 1/120 (pow (+ 1 (* -1 u)) 3)) (* 1/6 (* (pow (+ 1 (* -1 u)) 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (/ 1 (+ 1 (* -1 u))))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (+ 1 (* -1 u)) 2) (- (* 1/120 (/ 1 (+ 1 (* -1 u)))) (+ (* 1/120 (pow (+ 1 (* -1 u)) 3)) (* 1/6 (* (pow (+ 1 (* -1 u)) 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))))))) (+ (* -1/120 (* (pow (+ 1 (* -1 u)) 4) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (+ (* -1/5040 (pow (+ 1 (* -1 u)) 5)) (* 1/5040 (/ 1 (+ 1 (* -1 u))))))))) (* 1/120 (/ 1 (+ 1 (* -1 u))))) (+ (* 1/120 (pow (+ 1 (* -1 u)) 3)) (* 1/6 (* (pow (+ 1 (* -1 u)) 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (/ 1 (+ 1 (* -1 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 (- (* -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))))
1
(+ 1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))
(+ 1 (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))))))
(+ 1 (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin 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)))))

Outputs
(* -1/6 (pow normAngle 2))
(.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle))
(* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (pow u 2)) 1/36)) 1/6))
(.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 #s(literal 1/120 binary32) (.f32 u u) #s(literal -1/36 binary32))) #s(literal -1/6 binary32)))
(* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (- (* 1/720 (pow u 2)) 7/2160))) 1/36)) 1/6))
(.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 u u) #s(literal 1/720 binary32) #s(literal -7/2160 binary32)) (fma.f32 #s(literal 1/120 binary32) (.f32 u u) #s(literal -1/36 binary32))) #s(literal -1/6 binary32)))
(* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* 1/120 (pow u 2)) (* (pow normAngle 2) (- (+ (* 1/720 (pow u 2)) (* (pow normAngle 2) (- (* -1/120 (+ (* -1/36 (pow u 2)) (* 1/120 (pow u 2)))) 31/90720))) 7/2160))) 1/36)) 1/6))
(.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 u u) #s(literal 7/43200 binary32) #s(literal -31/90720 binary32)) (fma.f32 (.f32 u u) #s(literal 1/720 binary32) #s(literal -7/2160 binary32))) (fma.f32 #s(literal 1/120 binary32) (.f32 u u) #s(literal -1/36 binary32))) #s(literal -1/6 binary32)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(/.f32 (.f32 (.f32 #s(literal 1/120 binary32) (*.f32 u u)) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))
(* (pow normAngle 5) (- (* 1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle))))))
(.f32 (pow.f32 normAngle #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (/.f32 (.f32 u u) (sin.f32 normAngle)) (/.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 5) (- (* 1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle))))))
(.f32 (pow.f32 normAngle #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (/.f32 (.f32 u u) (sin.f32 normAngle)) (/.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle))))))
(* (pow normAngle 5) (- (* 1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle))))))
(.f32 (pow.f32 normAngle #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (/.f32 (.f32 u u) (sin.f32 normAngle)) (/.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle))))))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(/.f32 (.f32 (.f32 #s(literal 1/120 binary32) (*.f32 u u)) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))
(* -1 (* (pow normAngle 5) (+ (* -1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle)))))))
(.f32 (pow.f32 normAngle #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (/.f32 (.f32 u u) (sin.f32 normAngle)) (/.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle))))))
(* -1 (* (pow normAngle 5) (+ (* -1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle)))))))
(.f32 (pow.f32 normAngle #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (/.f32 (.f32 u u) (sin.f32 normAngle)) (/.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle))))))
(* -1 (* (pow normAngle 5) (+ (* -1/120 (/ (pow u 2) (sin normAngle))) (* 1/6 (/ 1 (* (pow normAngle 2) (sin normAngle)))))))
(.f32 (pow.f32 normAngle #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (/.f32 (.f32 u u) (sin.f32 normAngle)) (/.f32 #s(literal -1/6 binary32) (.f32 normAngle (.f32 normAngle (sin.f32 normAngle))))))
(* -1/6 (/ (pow normAngle 3) (sin normAngle)))
(/.f32 (.f32 #s(literal -1/6 binary32) (.f32 normAngle (*.f32 normAngle normAngle))) (sin.f32 normAngle))
(+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))
(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)))
(+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))
(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)))
(+ (* -1/6 (/ (pow normAngle 3) (sin normAngle))) (* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle))))
(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)))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(/.f32 (.f32 (.f32 #s(literal 1/120 binary32) (*.f32 u u)) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(.f32 (.f32 u u) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(.f32 (.f32 u u) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(.f32 (.f32 u u) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))
(* 1/120 (/ (* (pow normAngle 5) (pow u 2)) (sin normAngle)))
(/.f32 (.f32 (.f32 #s(literal 1/120 binary32) (*.f32 u u)) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(.f32 (.f32 u u) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(.f32 (.f32 u u) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))
(* (pow u 2) (+ (* -1/6 (/ (pow normAngle 3) (* (pow u 2) (sin normAngle)))) (* 1/120 (/ (pow normAngle 5) (sin normAngle)))))
(.f32 (.f32 u u) (fma.f32 #s(literal -1/6 binary32) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 u (.f32 u (sin.f32 normAngle)))) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle))))
(/ 1/120 normAngle)
(/.f32 #s(literal 1/120 binary32) normAngle)
(/ (+ 1/120 (* 1/720 (pow normAngle 2))) normAngle)
(/.f32 (fma.f32 (*.f32 normAngle normAngle) #s(literal 1/720 binary32) #s(literal 1/120 binary32)) normAngle)
(/ (+ 1/120 (* (pow normAngle 2) (+ 1/720 (* 7/43200 (pow normAngle 2))))) normAngle)
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u
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(*.f32 u n1_i)
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(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
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(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
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(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
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(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
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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))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
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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 (- 1 u))
(fma.f32 u (neg.f32 n0_i) n0_i)
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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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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)))
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(* u (+ (* -1 normAngle) (/ normAngle u)))
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(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
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(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
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(* -1 (* u (+ normAngle (* -1 (/ normAngle u)))))
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(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(* normAngle (- 1 u))
(fma.f32 normAngle (neg.f32 u) normAngle)
(+ 1 (* -1 u))
(-.f32 #s(literal 1 binary32) u)
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u)))))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))
(+ 1 (+ (* -1 u) (* (pow normAngle 2) (- (+ (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (+ 1 (* -1 u)) 5)) (+ (* -1/6 (- (* -1/6 (pow (+ 1 (* -1 u)) 3)) (* -1/6 (+ 1 (* -1 u))))) (* 1/120 (+ 1 (* -1 u))))))) (* -1/6 (+ 1 (* -1 u)))))))
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(+ 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)))))))
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(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (- (* -1 (* normAngle u)) (* -1 normAngle))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (*.f32 u (cos.f32 normAngle)) (neg.f32 (/.f32 normAngle (sin.f32 normAngle))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 u #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))))))))
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(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (+ normAngle (* -1 (* normAngle u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(* n0_i (+ 1 (* -1 u)))
(fma.f32 u (neg.f32 n0_i) n0_i)
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 normAngle normAngle)) (fma.f32 u (neg.f32 n0_i) n0_i))
(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -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)))))))
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(+ (* n0_i (+ 1 (* -1 u))) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (+ 1 (* -1 u)) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (+ 1 (* -1 u)) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u))))))) (+ (* -1/5040 (* n0_i (+ 1 (* -1 u)))) (* 1/120 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (+ 1 (* -1 u)) 3))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))) (* 1/120 (* n0_i (+ 1 (* -1 u)))))))) (* -1/6 (* n0_i (+ 1 (* -1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.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))) (fma.f32 #s(literal -1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 #s(literal -1/120 binary32) (fma.f32 u (neg.f32 n0_i) n0_i)))) (fma.f32 #s(literal -1/720 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 n0_i (fma.f32 u #s(literal 1/5040 binary32) #s(literal -1/5040 binary32)))))) (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (fma.f32 #s(literal -1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 #s(literal -1/120 binary32) (fma.f32 u (neg.f32 n0_i) n0_i))))) (.f32 #s(literal -1/6 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)))) (fma.f32 u (neg.f32 n0_i) n0_i))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
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(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
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(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
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(/ (* n0_i (sin (- (* -1 (* normAngle u)) (* -1 normAngle)))) (sin normAngle))
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n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (.f32 normAngle (.f32 u (cos.f32 normAngle))) (neg.f32 (/.f32 n0_i (sin.f32 normAngle))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
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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 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
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(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (+ normAngle (* -1 (* normAngle u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ 1 (+ 1 (* -1 u)))
(/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (/ 1 (+ 1 (* -1 u))))
(fma.f32 (*.f32 normAngle normAngle) (-.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (+ 1 (* -1 u)))) (+ (* 1/120 (pow (+ 1 (* -1 u)) 3)) (* 1/6 (* (pow (+ 1 (* -1 u)) 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (/ 1 (+ 1 (* -1 u))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (+.f32 #s(literal -1/6 binary32) (fma.f32 u #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (-.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow (+ 1 (* -1 u)) 2) (- (* 1/120 (/ 1 (+ 1 (* -1 u)))) (+ (* 1/120 (pow (+ 1 (* -1 u)) 3)) (* 1/6 (* (pow (+ 1 (* -1 u)) 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))))))) (+ (* -1/120 (* (pow (+ 1 (* -1 u)) 4) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (+ (* -1/5040 (pow (+ 1 (* -1 u)) 5)) (* 1/5040 (/ 1 (+ 1 (* -1 u))))))))) (* 1/120 (/ 1 (+ 1 (* -1 u))))) (+ (* 1/120 (pow (+ 1 (* -1 u)) 3)) (* 1/6 (* (pow (+ 1 (* -1 u)) 2) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u)))))))))) (+ (* -1/6 (+ 1 (* -1 u))) (* 1/6 (/ 1 (+ 1 (* -1 u))))))) (/ 1 (+ 1 (* -1 u))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (+.f32 #s(literal -1/6 binary32) (fma.f32 u #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (+.f32 #s(literal -1/6 binary32) (fma.f32 u #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (.f32 #s(literal -1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 4 binary32))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (/.f32 #s(literal 1/5040 binary32) (-.f32 #s(literal 1 binary32) u))))) (.f32 normAngle (neg.f32 normAngle)) (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (+.f32 #s(literal -1/6 binary32) (fma.f32 u #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (- (* -1 (* normAngle u)) (* -1 normAngle))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (- (* -1 (* normAngle u)) (* -1 normAngle))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (- (* -1 (* normAngle u)) (* -1 normAngle))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (- (* -1 (* normAngle u)) (* -1 normAngle))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
1
#s(literal 1 binary32)
(+ 1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))
(fma.f32 (*.f32 u (cos.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle)) #s(literal 1 binary32))
(+ 1 (* u (- (* -1 (* u (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))))))
(fma.f32 u (fma.f32 normAngle (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 u (fma.f32 (.f32 normAngle normAngle) (/.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) (.f32 (.f32 normAngle normAngle) #s(literal 1/2 binary32))))) #s(literal 1 binary32))
(+ 1 (* u (- (* u (- (* -1 (* u (+ (* -1/2 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (+ (* 1/6 (/ (* (pow normAngle 3) (cos normAngle)) (sin normAngle))) (/ (* normAngle (* (cos normAngle) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (sin normAngle)))))) (+ (* -1 (/ (* (pow normAngle 2) (pow (cos normAngle) 2)) (pow (sin normAngle) 2))) (* -1/2 (pow normAngle 2))))) (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))))))
(fma.f32 u (fma.f32 u (fma.f32 (neg.f32 u) (fma.f32 normAngle (.f32 (fma.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)) (/.f32 (.f32 (neg.f32 normAngle) (.f32 normAngle (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) (.f32 (/.f32 (.f32 (.f32 normAngle normAngle) (.f32 normAngle (cos.f32 normAngle))) (sin.f32 normAngle)) #s(literal -1/3 binary32))) (fma.f32 (.f32 normAngle normAngle) (/.f32 (pow.f32 (cos.f32 normAngle) #s(literal 2 binary32)) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))) (.f32 (.f32 normAngle normAngle) #s(literal 1/2 binary32)))) (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle))) #s(literal 1 binary32))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))
(/ (sin normAngle) (sin (+ normAngle (* -1 (* normAngle u)))))
(/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))

eval232.0ms (1.2%)

Memory: 5.7MiB live, 491.9MiB allocated
Compiler: Compiled 78 695 to 5 538 computations (93% saved)

prune263.0ms (1.4%)

Memory

-2.0MiB live, 585.2MiB allocated

Pruning

29 alts after pruning (29 fresh and 0 done)

	Pruned	Kept	Total
New	1 897	25	1 922
Fresh	8	4	12
Picked	5	0	5
Done	0	0	0
Total	1 910	29	1 939

Accuracy

100.0%

Counts

1 939 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	81.8%	(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i)
▶	80.7%	(fma.f32 u n1_i n0_i)
	81.2%	(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 normAngle normAngle)) (fma.f32 u n1_i n0_i))
	98.6%	(+.f32 (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 u #s(literal -1 binary32)))) (.f32 #s(literal 1/36 binary32) (.f32 (+.f32 u #s(literal -1 binary32)) (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)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.1%	(+.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
	98.1%	(+.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	87.5%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (sin.f32 normAngle)))
	98.1%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))))
	97.7%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) n1_i)))
	98.3%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
	96.6%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) n1_i))
	98.8%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	97.7%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
	97.8%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.0%	(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (/.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) (fma.f32 (+.f32 #s(literal -1/6 binary32) (fma.f32 u #s(literal 1/6 binary32) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) (-.f32 #s(literal 1 binary32) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u))))) (-.f32 (fma.f32 #s(literal -1/6 binary32) u #s(literal 1/6 binary32)) (/.f32 #s(literal 1/6 binary32) (-.f32 #s(literal 1 binary32) u)))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 1 binary32) u)))) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	98.7%	(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	97.6%	(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) n0_i) (.f32 u n1_i))
	98.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u) n1_i))
▶	98.9%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
▶	98.7%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (*.f32 normAngle (/.f32 u (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 (/.f32 (sin.f32 (*.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
▶	72.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
	81.3%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
	80.6%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
	80.5%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
▶	81.7%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	80.7%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 u n1_i))
	66.4%	(.f32 (-.f32 (pow.f32 (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 n0_i n0_i)) (/.f32 #s(literal 1 binary32) (fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i))))
	38.1%	(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))

Compiler

Compiled 1 748 to 1 020 computations (41.6% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize6.1s (32.4%)

Memory

-4.8MiB live, 224.8MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.6%	(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.5%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	99.9%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
✓	accuracy	99.7%	(.f32 (sin.f32 (.f32 normAngle u)) n1_i)
✓	accuracy	94.8%	(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (.f32 normAngle u)) n1_i)))
✓	accuracy	67.6%	(/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (.f32 normAngle u)) n1_i))
✓	accuracy	99.9%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
✓	accuracy	99.9%	(/.f32 u (sin.f32 normAngle))
✓	accuracy	99.9%	(.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i)
✓	accuracy	99.6%	(*.f32 normAngle (/.f32 u (sin.f32 normAngle)))
✓	accuracy	100.0%	(fma.f32 u n1_i n0_i)
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.5%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	99.4%	(.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle))
✓	accuracy	98.7%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

142.0ms	248×	0	valid
50.0ms	8×	1	valid

Compiler

Compiled 342 to 38 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 153.0ms

ival-mult: 126.0ms (82.4% of total)

ival-div: 8.0ms (5.2% of total)

ival-add: 6.0ms (3.9% of total)

ival-sin: 6.0ms (3.9% of total)

const: 4.0ms (2.6% of total)

ival-sub: 2.0ms (1.3% 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)

series1.0s (5.4%)

Memory

1.9MiB live, 40.3MiB allocated

Counts

13 → 420

Calls

Call 1

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

Outputs
#<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 (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<alt (* -1/6 (pow normAngle 2))>
#<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))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt 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 (/ (* 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 (* 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 (/ (* 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 (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u normAngle)>
#<alt (/ (+ u (* 1/6 (* (pow normAngle 2) u))) normAngle)>
#<alt (/ (+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle)>
#<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)))) normAngle)>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ (* n1_i (* normAngle u)) (sin normAngle))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))>
#<alt (+ 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 (* 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 (/ 1 (* n1_i u))>
#<alt (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (/ 1 (* n1_i u)))>
#<alt (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (* n1_i u))) (+ (* 1/120 (/ (pow u 3) n1_i)) (* 1/6 (* (pow u 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u))))))))) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (/ 1 (* n1_i u)))>
#<alt (+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 (* n1_i u))) (+ (* 1/120 (/ (pow u 3) n1_i)) (* 1/6 (* (pow u 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (+ (* -1/5040 (/ (pow u 5) n1_i)) (* 1/5040 (/ 1 (* n1_i u)))))))) (* 1/120 (/ 1 (* n1_i u)))) (+ (* 1/120 (/ (pow u 3) n1_i)) (* 1/6 (* (pow u 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u))))))))) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (/ 1 (* n1_i u)))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (* normAngle u)))>
#<alt (/ (+ (* 1/6 (/ (* normAngle (* (pow u 2) (sin normAngle))) n1_i)) (/ (sin normAngle) (* n1_i normAngle))) u)>
#<alt (/ (+ (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/36 (/ (* (pow normAngle 3) (sin normAngle)) n1_i)) (* 1/120 (/ (* (pow normAngle 3) (sin normAngle)) n1_i))))) (* -1/6 (/ (* normAngle (sin normAngle)) n1_i)))) (/ (sin normAngle) (* n1_i normAngle))) u)>
#<alt (/ (+ (* (pow u 2) (- (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 5) (sin normAngle)) n1_i)) (+ (* 1/720 (/ (* (pow normAngle 5) (sin normAngle)) n1_i)) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (/ (* (pow normAngle 3) (sin normAngle)) n1_i)) (* 1/120 (/ (* (pow normAngle 3) (sin normAngle)) n1_i))))))))) (+ (* -1/36 (/ (* (pow normAngle 3) (sin normAngle)) n1_i)) (* 1/120 (/ (* (pow normAngle 3) (sin normAngle)) n1_i))))) (* -1/6 (/ (* normAngle (sin normAngle)) n1_i)))) (/ (sin normAngle) (* n1_i normAngle))) u)>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<alt (/ (sin normAngle) (* n1_i (sin (* normAngle u))))>
#<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 (* 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 (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 (* normAngle u))>
#<alt (* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u)))>
#<alt (* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5))))))))>
#<alt (* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5)))))))))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (* normAngle u))>
#<alt (* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle)))>
#<alt (* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2))))))))>
#<alt (* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5)))))))))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (* n1_i (sin (* normAngle u)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt (* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))>
#<alt (+ n0_i (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))>
#<alt (* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))>
#<alt (/ (* n1_i (sin (* normAngle u))) (sin normAngle))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))>
#<alt (* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))>

Calls

105 calls:

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

rewrite679.0ms (3.6%)

Memory

7.6MiB live, 526.6MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

8 662×	`lower-fma.f64`
8 660×	`lower-fma.f32`
6 086×	`lower-*.f64`
6 066×	`lower-*.f32`
3 514×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	109
0	49	101
1	161	97
2	934	97
0	8316	95

Stop Event

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

Counts

13 → 612

Calls

Call 1

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

Outputs
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(neg.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))))
(neg.f32 (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (neg.f32 (sin.f32 normAngle))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle)))
(pow.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))
(/.f32 (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
(/.f32 (neg.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))) (sin.f32 normAngle))
(/.f32 (/.f32 (neg.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) #s(literal -1 binary32)) (sin.f32 normAngle))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle)))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) 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 u (neg.f32 normAngle) normAngle))))
(*.f32 (neg.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) 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 u (neg.f32 normAngle) normAngle))))
(*.f32 (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)))
(*.f32 (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (neg.f32 (sin.f32 normAngle))) #s(literal -1 binary32))
(.f32 (.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32))) (pow.f32 (sin.f32 normAngle) #s(literal -1/2 binary32)))
(.f32 normAngle (.f32 normAngle #s(literal -1/6 binary32)))
(.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(.f32 (.f32 normAngle #s(literal -1/6 binary32)) normAngle)
(neg.f32 (.f32 (/.f32 #s(literal -1 binary32) (sin.f32 normAngle)) (.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i)))
(neg.f32 (.f32 (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (/.f32 #s(literal -1 binary32) (sin.f32 normAngle))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i)))
(/.f32 n0_i (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 1 binary32))
(/.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) (sin.f32 normAngle))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle))
(/.f32 (neg.f32 (*.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))) (neg.f32 (sin.f32 normAngle)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (.f32 (.f32 n0_i (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle))) #s(literal -1 binary32)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (neg.f32 n0_i)) (neg.f32 (sin.f32 normAngle)))
(/.f32 (*.f32 n0_i (neg.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)))) (neg.f32 (sin.f32 normAngle)))
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(/.f32 (neg.f32 (fma.f32 n0_i (neg.f32 n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)))) (neg.f32 (+.f32 (neg.f32 n0_i) (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (.f32 n0_i n0_i))) (neg.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i))))
(/.f32 (-.f32 (pow.f32 (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (fma.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (.f32 (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (-.f32 n0_i (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))))))
(/.f32 (-.f32 (.f32 (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))) (.f32 (/.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))) (+.f32 (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (/.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (-.f32 n0_i (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))))) (neg.f32 (fma.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)) (.f32 n0_i n0_i))))
(/.f32 (.f32 #s(literal 1 binary32) (fma.f32 n0_i (neg.f32 n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)))) (+.f32 (neg.f32 n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) #s(literal 1 binary32)) (fma.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)) (.f32 n0_i n0_i)))
(/.f32 (.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32))) #s(literal 1 binary32)) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(/.f32 (.f32 (fma.f32 (.f32 n0_i (.f32 n0_i n0_i)) (.f32 (.f32 n0_i (.f32 n0_i n0_i)) (.f32 n0_i (.f32 n0_i n0_i))) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -9 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)) (.f32 n0_i n0_i)))) (fma.f32 n0_i (.f32 (.f32 n0_i n0_i) (.f32 n0_i (.f32 n0_i n0_i))) (-.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -6 binary32)) (pow.f32 (.f32 n0_i (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 3 binary32)))))
(/.f32 (.f32 (fma.f32 n0_i (.f32 (.f32 n0_i n0_i) (.f32 n0_i (.f32 n0_i n0_i))) (neg.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -6 binary32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)) (.f32 n0_i n0_i)))) (-.f32 (.f32 n0_i (.f32 n0_i n0_i)) (pow.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))))
(/.f32 (.f32 (fma.f32 n0_i (.f32 (.f32 n0_i n0_i) (.f32 n0_i (.f32 n0_i n0_i))) (neg.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -6 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))) (+.f32 (fma.f32 n0_i (.f32 n0_i (.f32 n0_i n0_i)) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -4 binary32))) (pow.f32 (.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) #s(literal 2 binary32))))
(/.f32 (.f32 (fma.f32 n0_i (.f32 n0_i (.f32 n0_i n0_i)) (neg.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -4 binary32)))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))) (fma.f32 n0_i n0_i (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (*.f32 u normAngle)))) #s(literal -2 binary32))))
(/.f32 (/.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32))) #s(literal 1 binary32)) (-.f32 n0_i (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))
(.f32 #s(literal 1 binary32) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) n0_i))
(.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (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 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (.f32 n0_i (-.f32 n0_i (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))))
(.f32 (fma.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)) (.f32 n0_i n0_i)) (.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) n0_i) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)) (*.f32 n0_i n0_i)))))
(.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) n0_i) (.f32 (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))))))
(.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(.f32 (neg.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)) (.f32 n0_i n0_i)))))
(.f32 (fma.f32 n0_i (neg.f32 n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (neg.f32 n0_i) (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)) (.f32 n0_i n0_i))) (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))) (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32))))
(.f32 (-.f32 (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)) (.f32 n0_i n0_i)) (/.f32 #s(literal 1 binary32) (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i))))
(.f32 (/.f32 (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) n0_i) #s(literal 1 binary32)) (/.f32 (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) (-.f32 n0_i (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))))))
(.f32 (/.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32))) (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32)))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) n0_i))
(.f32 (/.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i (.f32 (.f32 n0_i n0_i) (.f32 n0_i (.f32 n0_i n0_i))) (pow.f32 (/.f32 (.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i))) (sin.f32 normAngle)) #s(literal 3 binary32)))) (fma.f32 n0_i (.f32 n0_i (.f32 n0_i n0_i)) (.f32 (/.f32 (.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i))) (sin.f32 normAngle)) (-.f32 (/.f32 (.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i))) (sin.f32 normAngle)) (.f32 n0_i n0_i)))))
(.f32 (/.f32 (fma.f32 n0_i (.f32 n0_i n0_i) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32))) (-.f32 (.f32 n0_i (.f32 n0_i (.f32 n0_i n0_i))) (pow.f32 (/.f32 (.f32 (.f32 n1_i (sin.f32 (.f32 u normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i))) (sin.f32 normAngle)) #s(literal 2 binary32)))) (fma.f32 n0_i n0_i (.f32 (neg.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)))) (fma.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) (neg.f32 n0_i)))))
(.f32 (/.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) #s(literal -2 binary32))) (-.f32 (.f32 n0_i (.f32 n0_i n0_i)) (pow.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (fma.f32 n0_i n0_i (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle))) (fma.f32 (sin.f32 (.f32 u normAngle)) (/.f32 n1_i (sin.f32 normAngle)) n0_i))))

simplify675.0ms (3.6%)

Memory

1.6MiB live, 599.4MiB allocated

Algorithm

1×	egg-herbie

Rules

9 956×	`lower-fma.f64`
9 956×	`lower-fma.f32`
7 888×	`lower-*.f64`
7 888×	`lower-*.f32`
2 502×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	481	4927
1	1546	4764
2	5659	4750
0	8263	4544

Stop Event

1×	iter limit
1×	node limit

Counts

420 → 405

Calls

Call 1

Inputs
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))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
(* -1/6 (pow normAngle 2))
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))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* n1_i u)
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
n0_i
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
u
(+ u (* 1/6 (* (pow normAngle 2) u)))
(+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(+ u (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 u) (+ (* 1/720 u) (* 1/6 (+ (* -1/36 u) (* 1/120 u))))))) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u))))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (sin normAngle))
(/ (* normAngle u) (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))
(* n1_i u)
(+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u))
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))
(+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/ (* 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))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u normAngle)
(/ (+ u (* 1/6 (* (pow normAngle 2) u))) normAngle)
(/ (+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle)
(/ (+ 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))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* 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))))))
(/ 1 (* n1_i u))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (/ 1 (* n1_i u)))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (* n1_i u))) (+ (* 1/120 (/ (pow u 3) n1_i)) (* 1/6 (* (pow u 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u))))))))) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (/ 1 (* n1_i u)))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 (* n1_i u))) (+ (* 1/120 (/ (pow u 3) n1_i)) (* 1/6 (* (pow u 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (+ (* -1/5040 (/ (pow u 5) n1_i)) (* 1/5040 (/ 1 (* n1_i u)))))))) (* 1/120 (/ 1 (* n1_i u)))) (+ (* 1/120 (/ (pow u 3) n1_i)) (* 1/6 (* (pow u 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u))))))))) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (/ 1 (* n1_i 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 (* normAngle u)))
(/ (+ (* 1/6 (/ (* normAngle (* (pow u 2) (sin normAngle))) n1_i)) (/ (sin normAngle) (* n1_i normAngle))) u)
(/ (+ (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/36 (/ (* (pow normAngle 3) (sin normAngle)) n1_i)) (* 1/120 (/ (* (pow normAngle 3) (sin normAngle)) n1_i))))) (* -1/6 (/ (* normAngle (sin normAngle)) n1_i)))) (/ (sin normAngle) (* n1_i normAngle))) u)
(/ (+ (* (pow u 2) (- (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 5) (sin normAngle)) n1_i)) (+ (* 1/720 (/ (* (pow normAngle 5) (sin normAngle)) n1_i)) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (/ (* (pow normAngle 3) (sin normAngle)) n1_i)) (* 1/120 (/ (* (pow normAngle 3) (sin normAngle)) n1_i))))))))) (+ (* -1/36 (/ (* (pow normAngle 3) (sin normAngle)) n1_i)) (* 1/120 (/ (* (pow normAngle 3) (sin normAngle)) n1_i))))) (* -1/6 (/ (* normAngle (sin normAngle)) n1_i)))) (/ (sin normAngle) (* n1_i 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) (* n1_i (sin (* normAngle u))))
(* 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 (* 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 (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 (* normAngle u))
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u)))
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5))))))))
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5)))))))))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (* normAngle u))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle)))
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2))))))))
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5)))))))))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(* n1_i (sin (* normAngle u)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
n0_i
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
n0_i
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))

Outputs
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (*.f32 u (cos.f32 normAngle)) (neg.f32 (/.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 (cos.f32 normAngle) (neg.f32 (/.f32 normAngle (sin.f32 normAngle))) (.f32 #s(literal -1/2 binary32) (.f32 u (*.f32 normAngle normAngle)))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* u (+ (* -1/2 (pow normAngle 2)) (* 1/6 (/ (* (pow normAngle 3) (* u (cos normAngle))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 normAngle (.f32 normAngle normAngle))) (/.f32 (.f32 u (cos.f32 normAngle)) (sin.f32 normAngle)) (.f32 #s(literal -1/2 binary32) (.f32 normAngle normAngle))) (neg.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)))) #s(literal 1 binary32))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (+ 1 (* -1 u)))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(- 1 u)
(-.f32 #s(literal 1 binary32) u)
(- (+ 1 (* (pow normAngle 2) (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -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) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (.f32 #s(literal -1/36 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)))) (.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (+ (* 1/120 (pow (- 1 u) 5)) (* (pow normAngle 2) (- (* -1/5040 (pow (- 1 u) 7)) (+ (* -1/6 (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u))))) (+ (* -1/5040 (- 1 u)) (* 1/120 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u))))))))) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (.f32 #s(literal -1/36 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)))) (fma.f32 #s(literal 1/720 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u) (neg.f32 (fma.f32 #s(literal -1/5040 binary32) (neg.f32 u) #s(literal -1/5040 binary32)))))) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (.f32 #s(literal -1/36 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))))) (.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (-.f32 #s(literal 1 binary32) u))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(/ (sin (* normAngle (- 1 u))) (sin normAngle))
(/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (sin.f32 normAngle))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
(* -1/6 (pow normAngle 2))
(.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (/.f32 (.f32 normAngle (.f32 u (cos.f32 normAngle))) (sin.f32 normAngle)) (neg.f32 n0_i) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 u (.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i)) (.f32 (/.f32 (*.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 #s(literal -1/2 binary32) (.f32 (.f32 normAngle normAngle) n0_i) (/.f32 (.f32 (.f32 #s(literal 1/6 binary32) n0_i) (.f32 (cos.f32 normAngle) (.f32 normAngle (.f32 u (.f32 normAngle normAngle))))) (sin.f32 normAngle))) (.f32 (/.f32 (.f32 normAngle (cos.f32 normAngle)) (sin.f32 normAngle)) (neg.f32 n0_i))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* n0_i (- 1 u))
(fma.f32 u (neg.f32 n0_i) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (fma.f32 u (neg.f32 n0_i) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i) (fma.f32 #s(literal 1/6 binary32) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i))) (neg.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 #s(literal -1/5040 binary32) n0_i) (.f32 #s(literal -1/720 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))))))) (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i)))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
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(+ u (* 1/6 (* (pow normAngle 2) u)))
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(fma.f32 u n1_i (.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 (.f32 u n1_i) #s(literal 1/840 binary32) (.f32 (.f32 u n1_i) #s(literal -7/2160 binary32))) (.f32 normAngle (neg.f32 normAngle)) (.f32 n1_i (.f32 u #s(literal 7/360 binary32)))) (.f32 u (*.f32 #s(literal 1/6 binary32) n1_i)))))
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n0_i
(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
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(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
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(* n0_i (+ 1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
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(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
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(* -1 (* n0_i (- (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) 1)))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 (.f32 normAngle u) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)) (neg.f32 n0_i))
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(fma.f32 (.f32 u (.f32 normAngle normAngle)) (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 u n1_i n0_i))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
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(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
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(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
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(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
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(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(*.f32 normAngle (fma.f32 u (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(*.f32 normAngle (fma.f32 u (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(*.f32 normAngle (fma.f32 u (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i normAngle)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 normAngle (*.f32 u (/.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 u) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(*.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(*.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(*.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(*.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 n0_i u)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(*.f32 n1_i (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i)))
(/ 1 (* n1_i u))
(/.f32 #s(literal 1 binary32) (*.f32 u n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (/ 1 (* n1_i u)))
(fma.f32 (fma.f32 u (/.f32 #s(literal -1/6 binary32) n1_i) (/.f32 #s(literal 1/6 binary32) (.f32 u n1_i))) (.f32 normAngle (neg.f32 normAngle)) (/.f32 #s(literal 1 binary32) (*.f32 u n1_i)))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* 1/120 (/ 1 (* n1_i u))) (+ (* 1/120 (/ (pow u 3) n1_i)) (* 1/6 (* (pow u 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u))))))))) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (/ 1 (* n1_i u)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 u n1_i)) (fma.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 u (/.f32 #s(literal -1/6 binary32) n1_i) (/.f32 #s(literal 1/6 binary32) (.f32 u n1_i))) (.f32 u u)) (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 u (.f32 u u))) n1_i))) (neg.f32 (fma.f32 u (/.f32 #s(literal -1/6 binary32) n1_i) (/.f32 #s(literal 1/6 binary32) (.f32 u n1_i))))) (/.f32 #s(literal 1 binary32) (*.f32 u n1_i)))
(+ (* (pow normAngle 2) (- (* (pow normAngle 2) (- (+ (* -1 (* (pow normAngle 2) (+ (* -1/6 (* (pow u 2) (- (* 1/120 (/ 1 (* n1_i u))) (+ (* 1/120 (/ (pow u 3) n1_i)) (* 1/6 (* (pow u 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))))))) (+ (* -1/120 (* (pow u 4) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (+ (* -1/5040 (/ (pow u 5) n1_i)) (* 1/5040 (/ 1 (* n1_i u)))))))) (* 1/120 (/ 1 (* n1_i u)))) (+ (* 1/120 (/ (pow u 3) n1_i)) (* 1/6 (* (pow u 2) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u))))))))) (+ (* -1/6 (/ u n1_i)) (* 1/6 (/ 1 (* n1_i u)))))) (/ 1 (* n1_i u)))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 u n1_i)) (fma.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 u (/.f32 #s(literal -1/6 binary32) n1_i) (/.f32 #s(literal 1/6 binary32) (.f32 u n1_i))) (.f32 u u)) (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 u (.f32 u u))) n1_i))) (.f32 #s(literal -1/6 binary32) (.f32 u u)) (fma.f32 (fma.f32 u (/.f32 #s(literal -1/6 binary32) n1_i) (/.f32 #s(literal 1/6 binary32) (.f32 u n1_i))) (.f32 #s(literal -1/120 binary32) (.f32 (.f32 u u) (.f32 u u))) (fma.f32 #s(literal -1/5040 binary32) (/.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) (/.f32 #s(literal 1/5040 binary32) (.f32 u n1_i))))) (.f32 normAngle (neg.f32 normAngle)) (-.f32 (/.f32 #s(literal 1/120 binary32) (.f32 u n1_i)) (fma.f32 #s(literal 1/6 binary32) (.f32 (fma.f32 u (/.f32 #s(literal -1/6 binary32) n1_i) (/.f32 #s(literal 1/6 binary32) (.f32 u n1_i))) (.f32 u u)) (/.f32 (.f32 #s(literal 1/120 binary32) (.f32 u (.f32 u u))) n1_i)))) (neg.f32 (fma.f32 u (/.f32 #s(literal -1/6 binary32) n1_i) (/.f32 #s(literal 1/6 binary32) (.f32 u n1_i))))) (/.f32 #s(literal 1 binary32) (*.f32 u n1_i)))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (* normAngle u)))
(/.f32 (sin.f32 normAngle) (.f32 normAngle (.f32 u n1_i)))
(/ (+ (* 1/6 (/ (* normAngle (* (pow u 2) (sin normAngle))) n1_i)) (/ (sin normAngle) (* n1_i normAngle))) u)
(/.f32 (fma.f32 #s(literal 1/6 binary32) (.f32 (.f32 u (.f32 u (sin.f32 normAngle))) (/.f32 normAngle n1_i)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) u)
(/ (+ (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/36 (/ (* (pow normAngle 3) (sin normAngle)) n1_i)) (* 1/120 (/ (* (pow normAngle 3) (sin normAngle)) n1_i))))) (* -1/6 (/ (* normAngle (sin normAngle)) n1_i)))) (/ (sin normAngle) (* n1_i normAngle))) u)
(/.f32 (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (.f32 (.f32 (sin.f32 normAngle) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) n1_i)) #s(literal 7/360 binary32)) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 normAngle (sin.f32 normAngle))) n1_i)) (/.f32 (sin.f32 normAngle) (*.f32 normAngle n1_i))) u)
(/ (+ (* (pow u 2) (- (* (pow u 2) (- (* -1 (* (pow u 2) (+ (* -1/5040 (/ (* (pow normAngle 5) (sin normAngle)) n1_i)) (+ (* 1/720 (/ (* (pow normAngle 5) (sin normAngle)) n1_i)) (* 1/6 (* (pow normAngle 2) (+ (* -1/36 (/ (* (pow normAngle 3) (sin normAngle)) n1_i)) (* 1/120 (/ (* (pow normAngle 3) (sin normAngle)) n1_i))))))))) (+ (* -1/36 (/ (* (pow normAngle 3) (sin normAngle)) n1_i)) (* 1/120 (/ (* (pow normAngle 3) (sin normAngle)) n1_i))))) (* -1/6 (/ (* normAngle (sin normAngle)) n1_i)))) (/ (sin normAngle) (* n1_i normAngle))) u)
(/.f32 (fma.f32 (.f32 u u) (fma.f32 (.f32 u u) (fma.f32 (fma.f32 (.f32 (sin.f32 normAngle) (/.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i)) #s(literal 1/840 binary32) (.f32 (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 (/.f32 (sin.f32 normAngle) n1_i) #s(literal -7/360 binary32))) (.f32 (.f32 normAngle normAngle) #s(literal 1/6 binary32)))) (.f32 u (neg.f32 u)) (.f32 (.f32 (sin.f32 normAngle) (/.f32 (.f32 normAngle (.f32 normAngle normAngle)) n1_i)) #s(literal 7/360 binary32))) (/.f32 (.f32 #s(literal 1/6 binary32) (.f32 normAngle (sin.f32 normAngle))) n1_i)) (/.f32 (sin.f32 normAngle) (.f32 normAngle n1_i))) u)
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(/ (sin normAngle) (* n1_i (sin (* normAngle u))))
(/.f32 (sin.f32 normAngle) (.f32 n1_i (sin.f32 (.f32 normAngle u))))
(* 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 normAngle (.f32 normAngle (.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))) (+ (* -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 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 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 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (.f32 n1_i (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 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)))))) (neg.f32 (fma.f32 u (.f32 #s(literal -1/5040 binary32) n1_i) (.f32 #s(literal -1/720 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u)))))))) (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 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 (* 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 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) n1_i)) (.f32 #s(literal -1/6 binary32) (*.f32 u u))) (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 (.f32 u u) (.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32)))) (sin.f32 normAngle)) (.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) n1_i)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (/.f32 (.f32 normAngle 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 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (sin.f32 normAngle)) (/.f32 (.f32 (.f32 u (.f32 u (pow.f32 normAngle #s(literal 7 binary32)))) (.f32 #s(literal -1/5040 binary32) n1_i)) (sin.f32 normAngle))) (.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) n1_i)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle 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)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(* n1_i (* normAngle u))
(.f32 normAngle (.f32 u n1_i))
(* normAngle (+ (* -1/6 (* n1_i (* (pow normAngle 2) (pow u 3)))) (* n1_i u)))
(.f32 normAngle (fma.f32 n1_i (.f32 (.f32 (.f32 (.f32 u (.f32 u u)) normAngle) normAngle) #s(literal -1/6 binary32)) (*.f32 u n1_i)))
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* 1/120 (* n1_i (* (pow normAngle 2) (pow u 5))))))))
(.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32)))) (.f32 (.f32 u (.f32 u u)) (.f32 #s(literal -1/6 binary32) n1_i))) (.f32 u n1_i)))
(* normAngle (+ (* n1_i u) (* (pow normAngle 2) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 2) (pow u 7)))) (* 1/120 (* n1_i (pow u 5)))))))))
(.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 binary32))) (.f32 (.f32 (.f32 normAngle normAngle) n1_i) (.f32 (pow.f32 u #s(literal 7 binary32)) #s(literal -1/5040 binary32)))) (.f32 (.f32 u (.f32 u u)) (.f32 #s(literal -1/6 binary32) n1_i))) (*.f32 u n1_i)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (* normAngle u))
(.f32 normAngle (.f32 u n1_i))
(* u (+ (* -1/6 (* n1_i (* (pow normAngle 3) (pow u 2)))) (* n1_i normAngle)))
(.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 n1_i (.f32 u u))) (*.f32 normAngle n1_i)))
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* 1/120 (* n1_i (* (pow normAngle 5) (pow u 2))))))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 u (.f32 u (.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))))) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 #s(literal -1/6 binary32) n1_i))) (.f32 normAngle n1_i)))
(* u (+ (* n1_i normAngle) (* (pow u 2) (+ (* -1/6 (* n1_i (pow normAngle 3))) (* (pow u 2) (+ (* -1/5040 (* n1_i (* (pow normAngle 7) (pow u 2)))) (* 1/120 (* n1_i (pow normAngle 5)))))))))
(.f32 u (fma.f32 normAngle n1_i (.f32 (.f32 u u) (fma.f32 (.f32 u u) (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32))) (.f32 (.f32 u (.f32 u (pow.f32 normAngle #s(literal 7 binary32)))) (.f32 #s(literal -1/5040 binary32) n1_i))) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (*.f32 #s(literal -1/6 binary32) n1_i))))))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(* n1_i (sin (* normAngle u)))
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
n0_i
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(fma.f32 n0_i (/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (*.f32 (sin.f32 normAngle) n0_i)) n0_i)
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(fma.f32 n0_i (/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (*.f32 (sin.f32 normAngle) n0_i)) n0_i)
(* n0_i (+ 1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(fma.f32 n0_i (/.f32 (.f32 n1_i (sin.f32 (.f32 normAngle u))) (*.f32 (sin.f32 normAngle) n0_i)) n0_i)
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)) (neg.f32 n0_i))
(* -1 (* n0_i (- (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))) 1)))
(.f32 (fma.f32 (neg.f32 n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (*.f32 (sin.f32 normAngle) n0_i)) #s(literal -1 binary32)) (neg.f32 n0_i))
(+ n0_i (* n1_i u))
(fma.f32 u n1_i n0_i)
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))
(fma.f32 normAngle (.f32 normAngle (.f32 (.f32 #s(literal -1/6 binary32) n1_i) (fma.f32 u (.f32 u u) (neg.f32 u)))) (fma.f32 u n1_i n0_i))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (* 1/120 (* n1_i (pow u 5))) (+ (* -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 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 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))))) (fma.f32 u n1_i n0_i))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (* -1/5040 (* n1_i (pow u 7))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n1_i u)) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u)))))) (* -1/6 (* n1_i u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal -1/5040 binary32) (.f32 n1_i (pow.f32 u #s(literal 7 binary32))) (fma.f32 #s(literal 1/6 binary32) (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 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)))))) (neg.f32 (fma.f32 u (.f32 #s(literal -1/5040 binary32) n1_i) (.f32 #s(literal -1/720 binary32) (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u)))))))) (fma.f32 #s(literal 1/120 binary32) (.f32 n1_i (pow.f32 u #s(literal 5 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)))) (fma.f32 u n1_i n0_i))
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(fma.f32 normAngle (*.f32 u (/.f32 n1_i (sin.f32 normAngle))) n0_i)
(+ n0_i (* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 normAngle (/.f32 n1_i (sin.f32 normAngle)) (/.f32 (.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) n1_i)) (.f32 #s(literal -1/6 binary32) (.f32 u u))) (sin.f32 normAngle))) n0_i)
(+ n0_i (* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 u (fma.f32 (.f32 u u) (fma.f32 #s(literal 1/120 binary32) (/.f32 (.f32 (.f32 u u) (.f32 n1_i (pow.f32 normAngle #s(literal 5 binary32)))) (sin.f32 normAngle)) (.f32 (.f32 normAngle (.f32 (.f32 normAngle normAngle) n1_i)) (/.f32 #s(literal -1/6 binary32) (sin.f32 normAngle)))) (/.f32 (*.f32 normAngle n1_i) (sin.f32 normAngle))) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
n0_i
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(+ n0_i (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(fma.f32 (sin.f32 (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)) n0_i)
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (sin (* normAngle u)) (sin normAngle))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 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 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (sin (* normAngle u)) (sin normAngle))))))
(.f32 n1_i (+.f32 (/.f32 n0_i n1_i) (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle))))

eval124.0ms (0.7%)

Memory: 2.5MiB live, 307.6MiB allocated
Compiler: Compiled 33 040 to 2 580 computations (92.2% saved)

prune225.0ms (1.2%)

Memory

-17.3MiB live, 420.2MiB allocated

Pruning

43 alts after pruning (42 fresh and 1 done)

	Pruned	Kept	Total
New	1 378	30	1 408
Fresh	12	12	24
Picked	4	1	5
Done	0	0	0
Total	1 394	43	1 437

Accuracy

100.0%

Counts

1 437 → 43

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	75.7%	(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i) n0_i)
	81.3%	(fma.f32 (.f32 u (.f32 normAngle normAngle)) (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 u n1_i n0_i))
	81.4%	(fma.f32 u n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 #s(literal 1/6 binary32) n1_i) (.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 7/360 binary32))) n0_i))
✓	80.7%	(fma.f32 u n1_i n0_i)
	80.6%	(fma.f32 n0_i (/.f32 (*.f32 u n1_i) n0_i) n0_i)
▶	66.0%	(/.f32 (*.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))) (fma.f32 u n1_i (neg.f32 n0_i)))
	32.2%	(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
	65.8%	(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (.f32 u n1_i)) (.f32 (fma.f32 u n1_i n0_i) (-.f32 n0_i (*.f32 u n1_i)))))
	80.6%	(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i n0_i)))
▶	99.3%	(+.f32 (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 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	99.1%	(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	98.7%	(+.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	82.1%	(+.f32 (/.f32 (.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
	98.1%	(+.f32 (/.f32 (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)) (/.f32 (sin.f32 normAngle) n0_i)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	99.2%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (.f32 #s(literal -1/36 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)))) (.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
	87.5%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (sin.f32 normAngle)))
	98.1%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))))
	97.7%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) n1_i)))
	98.3%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
	96.6%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) n1_i))
	98.8%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	97.7%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
	97.6%	(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) n0_i) (.f32 u n1_i))
	98.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) 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 u n1_i))
	98.4%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 u (-.f32 (/.f32 normAngle u) normAngle))) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	80.7%	(+.f32 (*.f32 u n1_i) n0_i)
	72.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 n1_i (.f32 u u))) (.f32 normAngle n1_i))))))
	80.3%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u n1_i))))
	68.7%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))))
	81.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 u (.f32 normAngle normAngle)) #s(literal 7/360 binary32) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
	81.6%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (.f32 normAngle (neg.f32 normAngle)) (.f32 u #s(literal 7/360 binary32))) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
	81.3%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n1_i))
	80.6%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
	80.5%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
	81.9%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
	80.6%	(.f32 (fma.f32 u n1_i n0_i) (.f32 (fma.f32 u n1_i (neg.f32 n0_i)) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i)))))
	65.7%	(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i))) (.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))))
	38.1%	(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
	80.6%	(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
▶	37.9%	(*.f32 u n1_i)
	80.6%	(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
	80.4%	(*.f32 n0_i (neg.f32 (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))))

Compiler

Compiled 2 214 to 1 269 computations (42.7% saved)

simplify0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

localize207.0ms (1.1%)

Memory

14.8MiB live, 447.3MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score	Program
✓	accuracy	99.8%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
✓	accuracy	99.6%	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
✓	accuracy	99.5%	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
✓	accuracy	98.8%	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
✓	accuracy	100.0%	(*.f32 normAngle n1_i)
✓	accuracy	100.0%	(sin.f32 normAngle)
✓	accuracy	99.9%	(/.f32 u (sin.f32 normAngle))
✓	accuracy	92.4%	(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i) n0_i)
✓	accuracy	100.0%	(fma.f32 u n1_i n0_i)
✓	accuracy	100.0%	(neg.f32 n0_i)
✓	accuracy	99.7%	(*.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i)))
✓	accuracy	81.2%	(/.f32 (*.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))) (fma.f32 u n1_i (neg.f32 n0_i)))
✓	accuracy	100.0%	(*.f32 u n1_i)
✓	accuracy	98.1%	(*.f32 #s(literal 1/120 binary32) n0_i)
✓	accuracy	97.4%	(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))
✓	accuracy	68.0%	(-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (*.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i)))
✓	accuracy	62.1%	(fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))

Samples

98.0ms	245×	0	valid
7.0ms	3×	5	exit
6.0ms	8×	1	valid

Compiler

Compiled 572 to 57 computations (90% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-mult: 37.0ms (42.4% of total)

const: 15.0ms (17.2% of total)

ival-add: 13.0ms (14.9% of total)

ival-sin: 7.0ms (8% of total)

ival-div: 5.0ms (5.7% of total)

ival-pow: 5.0ms (5.7% of total)

adjust: 2.0ms (2.3% of total)

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

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

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

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

exact: 0.0ms (0% of total)

series70.0ms (0.4%)

Memory

-0.0MiB live, 85.0MiB allocated

Counts

17 → 444

Calls

Call 1

Inputs
#<alt (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))>
#<alt (-.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (.f32 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (*.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i)))>
#<alt (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))>
#<alt (*.f32 #s(literal 1/120 binary32) n0_i)>
#<alt (*.f32 u n1_i)>
#<alt (/.f32 (*.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))) (fma.f32 u n1_i (neg.f32 n0_i)))>
#<alt (*.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i)))>
#<alt (neg.f32 n0_i)>
#<alt (fma.f32 u n1_i n0_i)>
#<alt (fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i) n0_i)>
#<alt (/.f32 u (sin.f32 normAngle))>
#<alt (sin.f32 normAngle)>
#<alt (*.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 (*.f32 (-.f32 #s(literal 1 binary32) u) 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 u n1_i))>

Outputs
#<alt (* -3 u)>
#<alt (* u (- (* 3 u) 3))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))>
#<alt (* u (- (* u (+ 3 (* -1 u))) 3))>
#<alt (* -1 (pow u 3))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) 1))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))>
#<alt (* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))>
#<alt (* -1 (pow u 3))>
#<alt (* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))>
#<alt (* u (- (* -1/24 n0_i) (+ (* -1/18 n0_i) (* -1/120 n0_i))))>
#<alt (* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (* -1/12 n0_i) (* -1/36 n0_i)))) (+ (* -1/18 n0_i) (* -1/120 n0_i))))>
#<alt (* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* -1/36 n0_i)))) (+ (* -1/18 n0_i) (* -1/120 n0_i))))>
#<alt (* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* u (+ (* -1/120 (* n0_i u)) (* 1/24 n0_i)))) (* -1/36 n0_i)))) (+ (* -1/18 n0_i) (* -1/120 n0_i))))>
#<alt (* -1/120 (* n0_i (pow u 5)))>
#<alt (* (pow u 5) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u))))>
#<alt (* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u)))) (* -1/36 (/ n0_i (pow u 2)))))>
#<alt (* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/24 (/ n0_i (pow u 4))) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u))))) (+ (* -1/18 (/ n0_i (pow u 4))) (+ (* -1/36 (/ n0_i (pow u 2))) (* -1/120 (/ n0_i (pow u 4)))))))>
#<alt (* -1/120 (* n0_i (pow u 5)))>
#<alt (* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 n0_i))))>
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 n0_i)) u)) (* 1/24 n0_i)) u)) (* 1/120 n0_i))))>
#<alt (* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/24 (/ n0_i (pow u 2))) (* 1/12 n0_i)) (+ (* 1/120 (/ n0_i (pow u 2))) (+ (* 1/36 n0_i) (* 1/18 (/ n0_i (pow u 2)))))) u)) (* 1/24 n0_i)) u)) (* 1/120 n0_i))))>
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1 (+ 1/120 (* -1/120 u))) (* -1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1 (+ 1/120 (* -1/120 u))) (* -1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1 (+ 1/120 (* -1/120 u))) (* -1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt (* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1 (+ 1/120 (* -1/120 u))) (* -1/36 (- (+ u (pow (- 1 u) 3)) 1))))))>
#<alt 1>
#<alt (+ 1 (* -5 u))>
#<alt (+ 1 (* u (- (* 10 u) 5)))>
#<alt (+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))>
#<alt (* -1 (pow u 5))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) 1))>
#<alt (* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))>
#<alt (* -1 (pow u 5))>
#<alt (* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))>
#<alt (* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 1/120 n0_i)>
#<alt (* 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 (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (pow n0_i 2))>
#<alt (+ (* -1 (pow n0_i 2)) (* u (+ (* -1 (* n0_i n1_i)) (* n0_i n1_i))))>
#<alt (+ (* -1 (pow n0_i 2)) (* u (+ (* -1 (* n0_i n1_i)) (+ (* n0_i n1_i) (* (pow n1_i 2) u)))))>
#<alt (+ (* -1 (pow n0_i 2)) (* u (+ (* -1 (* n0_i n1_i)) (+ (* n0_i n1_i) (* (pow n1_i 2) u)))))>
#<alt (* (pow n1_i 2) (pow u 2))>
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i n1_i) u)) (+ (/ (* n0_i n1_i) u) (pow n1_i 2))))>
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i n1_i) u)) (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (+ (/ (* n0_i n1_i) u) (pow n1_i 2)))))>
#<alt (* (pow u 2) (+ (* -1 (/ (* n0_i n1_i) u)) (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (+ (/ (* n0_i n1_i) u) (pow n1_i 2)))))>
#<alt (* (pow n1_i 2) (pow u 2))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i n1_i)) (* n0_i n1_i)) u)) (pow n1_i 2)))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i n1_i)) (+ (* n0_i n1_i) (/ (pow n0_i 2) u))) u)) (pow n1_i 2)))>
#<alt (* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i n1_i)) (+ (* n0_i n1_i) (/ (pow n0_i 2) u))) u)) (pow n1_i 2)))>
#<alt (* -1 (pow n0_i 2))>
#<alt (+ (* -1 (pow n0_i 2)) (* n1_i (+ (* -1 (* n0_i u)) (* n0_i u))))>
#<alt (+ (* -1 (pow n0_i 2)) (* n1_i (+ (* -1 (* n0_i u)) (+ (* n0_i u) (* n1_i (pow u 2))))))>
#<alt (+ (* -1 (pow n0_i 2)) (* n1_i (+ (* -1 (* n0_i u)) (+ (* n0_i u) (* n1_i (pow u 2))))))>
#<alt (* (pow n1_i 2) (pow u 2))>
#<alt (* (pow n1_i 2) (+ (* -1 (/ (* n0_i u) n1_i)) (+ (/ (* n0_i u) n1_i) (pow u 2))))>
#<alt (* (pow n1_i 2) (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1 (/ (pow n0_i 2) (pow n1_i 2))) (+ (/ (* n0_i u) n1_i) (pow u 2)))))>
#<alt (* (pow n1_i 2) (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1 (/ (pow n0_i 2) (pow n1_i 2))) (+ (/ (* n0_i u) n1_i) (pow u 2)))))>
#<alt (* (pow n1_i 2) (pow u 2))>
#<alt (* (pow n1_i 2) (+ (* -1 (/ (+ (* -1 (* n0_i u)) (* n0_i u)) n1_i)) (pow u 2)))>
#<alt (* (pow n1_i 2) (+ (* -1 (/ (+ (* -1 (* n0_i u)) (+ (* n0_i u) (/ (pow n0_i 2) n1_i))) n1_i)) (pow u 2)))>
#<alt (* (pow n1_i 2) (+ (* -1 (/ (+ (* -1 (* n0_i u)) (+ (* n0_i u) (/ (pow n0_i 2) n1_i))) n1_i)) (pow u 2)))>
#<alt (* (pow n1_i 2) (pow u 2))>
#<alt (+ (* n0_i (+ (* -1 (* n1_i u)) (* n1_i u))) (* (pow n1_i 2) (pow u 2)))>
#<alt (+ (* n0_i (+ (* -1 n0_i) (+ (* -1 (* n1_i u)) (* n1_i u)))) (* (pow n1_i 2) (pow u 2)))>
#<alt (+ (* n0_i (+ (* -1 n0_i) (+ (* -1 (* n1_i u)) (* n1_i u)))) (* (pow n1_i 2) (pow u 2)))>
#<alt (* -1 (pow n0_i 2))>
#<alt (* (pow n0_i 2) (- (+ (* -1 (/ (* n1_i u) n0_i)) (/ (* n1_i u) n0_i)) 1))>
#<alt (* (pow n0_i 2) (- (+ (* -1 (/ (* n1_i u) n0_i)) (+ (/ (* n1_i u) n0_i) (/ (* (pow n1_i 2) (pow u 2)) (pow n0_i 2)))) 1))>
#<alt (* (pow n0_i 2) (- (+ (* -1 (/ (* n1_i u) n0_i)) (+ (/ (* n1_i u) n0_i) (/ (* (pow n1_i 2) (pow u 2)) (pow n0_i 2)))) 1))>
#<alt (* -1 (pow n0_i 2))>
#<alt (* (pow n0_i 2) (- (* -1 (/ (+ (* -1 (* n1_i u)) (* n1_i u)) n0_i)) 1))>
#<alt (* (pow n0_i 2) (- (* -1 (/ (+ (* -1 (* n1_i u)) (+ (* -1 (/ (* (pow n1_i 2) (pow u 2)) n0_i)) (* n1_i u))) n0_i)) 1))>
#<alt (* (pow n0_i 2) (- (* -1 (/ (+ (* -1 (* n1_i u)) (+ (* -1 (/ (* (pow n1_i 2) (pow u 2)) n0_i)) (* n1_i u))) n0_i)) 1))>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt (* -1 n0_i)>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* u (+ n1_i (/ n0_i u)))>
#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))>
#<alt n0_i>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i (+ u (/ n0_i n1_i)))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))>
#<alt (* n1_i u)>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt (+ n0_i (* n1_i u))>
#<alt n0_i>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ 1 (/ (* n1_i u) n0_i)))>
#<alt n0_i>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt (* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))>
#<alt n0_i>
#<alt (+ n0_i (/ (* n1_i (* 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 (+ 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 (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u normAngle)>
#<alt (/ (+ u (* 1/6 (* (pow normAngle 2) u))) normAngle)>
#<alt (/ (+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle)>
#<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)))) normAngle)>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (sin normAngle))>
#<alt (/ u (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)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt (* n1_i normAngle)>
#<alt 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 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 n0_i>
#<alt (+ n0_i (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))))>
#<alt (+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))>
#<alt (+ n0_i (* u (+ n1_i (+ (* -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 (* n1_i u)>
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))>
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))>
#<alt (* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))>
#<alt (* n1_i u)>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))>
#<alt (* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* 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 (* n0_i (- 1 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))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (* n1_i u)>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))>
#<alt (* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))>
#<alt (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))>
#<alt (* n1_i u)>
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))>
#<alt (* n1_i u)>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>
#<alt (* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))>

Calls

111 calls:

Time	Variable		Point	Expression
33.0ms	n0_i	@	0	(- (* (pow (- 1 u) 5) (* 1/120 n0_i)) (+ (* 1/36 (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u))) (* (+ (* u -1/120) 1/120) n0_i)))
15.0ms	n1_i	@	inf	(* (+ (* u n1_i) n0_i) (+ (* u n1_i) (neg n0_i)))
2.0ms	n0_i	@	inf	(- (* (pow (- 1 u) 5) (* 1/120 n0_i)) (+ (* 1/36 (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u))) (* (+ (* u -1/120) 1/120) n0_i)))
2.0ms	u	@	inf	(pow (- 1 u) 5)
1.0ms	n0_i	@	-inf	(- (* (pow (- 1 u) 5) (* 1/120 n0_i)) (+ (* 1/36 (* n0_i (+ (+ (* (- 1 u) (* (- 1 u) (- 1 u))) -1) u))) (* (+ (* u -1/120) 1/120) n0_i)))

rewrite389.0ms (2.1%)

Memory

8.6MiB live, 918.8MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

5 978×	`lower-fma.f64`
5 966×	`lower-fma.f32`
5 280×	`lower-*.f64`
5 258×	`lower-*.f32`
4 354×	`lower-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	153
0	70	149
1	274	124
2	2242	124
0	9518	123

Stop Event

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

Counts

17 → 583

Calls

Call 1

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

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

simplify411.0ms (2.2%)

Memory

-8.7MiB live, 783.3MiB allocated

Algorithm

1×	egg-herbie

Rules

10 454×	`lower-fma.f64`
10 454×	`lower-fma.f32`
6 356×	`lower-*.f64`
6 356×	`lower-*.f32`
4 392×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	607	4846
1	1959	4565
2	6512	4518
0	8599	4287

Stop Event

1×	iter limit
1×	node limit

Counts

444 → 428

Calls

Call 1

Inputs
(* -3 u)
(* u (- (* 3 u) 3))
(* u (- (* u (+ 3 (* -1 u))) 3))
(* u (- (* u (+ 3 (* -1 u))) 3))
(* -1 (pow u 3))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(* -1 (pow u 3))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(* u (- (* -1/24 n0_i) (+ (* -1/18 n0_i) (* -1/120 n0_i))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (* -1/12 n0_i) (* -1/36 n0_i)))) (+ (* -1/18 n0_i) (* -1/120 n0_i))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* -1/36 n0_i)))) (+ (* -1/18 n0_i) (* -1/120 n0_i))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* u (+ (* -1/120 (* n0_i u)) (* 1/24 n0_i)))) (* -1/36 n0_i)))) (+ (* -1/18 n0_i) (* -1/120 n0_i))))
(* -1/120 (* n0_i (pow u 5)))
(* (pow u 5) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u))))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u)))) (* -1/36 (/ n0_i (pow u 2)))))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/24 (/ n0_i (pow u 4))) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u))))) (+ (* -1/18 (/ n0_i (pow u 4))) (+ (* -1/36 (/ n0_i (pow u 2))) (* -1/120 (/ n0_i (pow u 4)))))))
(* -1/120 (* n0_i (pow u 5)))
(* -1 (* (pow u 5) (+ (* -1/24 (/ n0_i u)) (* 1/120 n0_i))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (* 1/12 n0_i) (* 1/36 n0_i)) u)) (* 1/24 n0_i)) u)) (* 1/120 n0_i))))
(* -1 (* (pow u 5) (+ (* -1 (/ (+ (* -1 (/ (- (+ (* 1/24 (/ n0_i (pow u 2))) (* 1/12 n0_i)) (+ (* 1/120 (/ n0_i (pow u 2))) (+ (* 1/36 n0_i) (* 1/18 (/ n0_i (pow u 2)))))) u)) (* 1/24 n0_i)) u)) (* 1/120 n0_i))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* n0_i (- (* 1/120 (pow (- 1 u) 5)) (+ 1/120 (+ (* -1/120 u) (* 1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1 (+ 1/120 (* -1/120 u))) (* -1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1 (+ 1/120 (* -1/120 u))) (* -1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1 (+ 1/120 (* -1/120 u))) (* -1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
(* -1 (* n0_i (- (* -1/120 (pow (- 1 u) 5)) (+ (* -1 (+ 1/120 (* -1/120 u))) (* -1/36 (- (+ u (pow (- 1 u) 3)) 1))))))
1
(+ 1 (* -5 u))
(+ 1 (* u (- (* 10 u) 5)))
(+ 1 (* u (- (* u (+ 10 (* -10 u))) 5)))
(* -1 (pow u 5))
(* (pow u 5) (- (* 5 (/ 1 u)) 1))
(* (pow u 5) (- (* 5 (/ 1 u)) (+ 1 (/ 10 (pow u 2)))))
(* (pow u 5) (- (+ (* 5 (/ 1 u)) (* 10 (/ 1 (pow u 3)))) (+ 1 (/ 10 (pow u 2)))))
(* -1 (pow u 5))
(* -1 (* (pow u 5) (- 1 (* 5 (/ 1 u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (- 5 (* 10 (/ 1 u))) u)))))
(* -1 (* (pow u 5) (+ 1 (* -1 (/ (+ 5 (* -1 (/ (- 10 (* 10 (/ 1 u))) u))) u)))))
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 1/120 n0_i)
(* 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 (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* n1_i u)
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
n0_i
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (pow n0_i 2))
(+ (* -1 (pow n0_i 2)) (* u (+ (* -1 (* n0_i n1_i)) (* n0_i n1_i))))
(+ (* -1 (pow n0_i 2)) (* u (+ (* -1 (* n0_i n1_i)) (+ (* n0_i n1_i) (* (pow n1_i 2) u)))))
(+ (* -1 (pow n0_i 2)) (* u (+ (* -1 (* n0_i n1_i)) (+ (* n0_i n1_i) (* (pow n1_i 2) u)))))
(* (pow n1_i 2) (pow u 2))
(* (pow u 2) (+ (* -1 (/ (* n0_i n1_i) u)) (+ (/ (* n0_i n1_i) u) (pow n1_i 2))))
(* (pow u 2) (+ (* -1 (/ (* n0_i n1_i) u)) (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (+ (/ (* n0_i n1_i) u) (pow n1_i 2)))))
(* (pow u 2) (+ (* -1 (/ (* n0_i n1_i) u)) (+ (* -1 (/ (pow n0_i 2) (pow u 2))) (+ (/ (* n0_i n1_i) u) (pow n1_i 2)))))
(* (pow n1_i 2) (pow u 2))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i n1_i)) (* n0_i n1_i)) u)) (pow n1_i 2)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i n1_i)) (+ (* n0_i n1_i) (/ (pow n0_i 2) u))) u)) (pow n1_i 2)))
(* (pow u 2) (+ (* -1 (/ (+ (* -1 (* n0_i n1_i)) (+ (* n0_i n1_i) (/ (pow n0_i 2) u))) u)) (pow n1_i 2)))
(* -1 (pow n0_i 2))
(+ (* -1 (pow n0_i 2)) (* n1_i (+ (* -1 (* n0_i u)) (* n0_i u))))
(+ (* -1 (pow n0_i 2)) (* n1_i (+ (* -1 (* n0_i u)) (+ (* n0_i u) (* n1_i (pow u 2))))))
(+ (* -1 (pow n0_i 2)) (* n1_i (+ (* -1 (* n0_i u)) (+ (* n0_i u) (* n1_i (pow u 2))))))
(* (pow n1_i 2) (pow u 2))
(* (pow n1_i 2) (+ (* -1 (/ (* n0_i u) n1_i)) (+ (/ (* n0_i u) n1_i) (pow u 2))))
(* (pow n1_i 2) (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1 (/ (pow n0_i 2) (pow n1_i 2))) (+ (/ (* n0_i u) n1_i) (pow u 2)))))
(* (pow n1_i 2) (+ (* -1 (/ (* n0_i u) n1_i)) (+ (* -1 (/ (pow n0_i 2) (pow n1_i 2))) (+ (/ (* n0_i u) n1_i) (pow u 2)))))
(* (pow n1_i 2) (pow u 2))
(* (pow n1_i 2) (+ (* -1 (/ (+ (* -1 (* n0_i u)) (* n0_i u)) n1_i)) (pow u 2)))
(* (pow n1_i 2) (+ (* -1 (/ (+ (* -1 (* n0_i u)) (+ (* n0_i u) (/ (pow n0_i 2) n1_i))) n1_i)) (pow u 2)))
(* (pow n1_i 2) (+ (* -1 (/ (+ (* -1 (* n0_i u)) (+ (* n0_i u) (/ (pow n0_i 2) n1_i))) n1_i)) (pow u 2)))
(* (pow n1_i 2) (pow u 2))
(+ (* n0_i (+ (* -1 (* n1_i u)) (* n1_i u))) (* (pow n1_i 2) (pow u 2)))
(+ (* n0_i (+ (* -1 n0_i) (+ (* -1 (* n1_i u)) (* n1_i u)))) (* (pow n1_i 2) (pow u 2)))
(+ (* n0_i (+ (* -1 n0_i) (+ (* -1 (* n1_i u)) (* n1_i u)))) (* (pow n1_i 2) (pow u 2)))
(* -1 (pow n0_i 2))
(* (pow n0_i 2) (- (+ (* -1 (/ (* n1_i u) n0_i)) (/ (* n1_i u) n0_i)) 1))
(* (pow n0_i 2) (- (+ (* -1 (/ (* n1_i u) n0_i)) (+ (/ (* n1_i u) n0_i) (/ (* (pow n1_i 2) (pow u 2)) (pow n0_i 2)))) 1))
(* (pow n0_i 2) (- (+ (* -1 (/ (* n1_i u) n0_i)) (+ (/ (* n1_i u) n0_i) (/ (* (pow n1_i 2) (pow u 2)) (pow n0_i 2)))) 1))
(* -1 (pow n0_i 2))
(* (pow n0_i 2) (- (* -1 (/ (+ (* -1 (* n1_i u)) (* n1_i u)) n0_i)) 1))
(* (pow n0_i 2) (- (* -1 (/ (+ (* -1 (* n1_i u)) (+ (* -1 (/ (* (pow n1_i 2) (pow u 2)) n0_i)) (* n1_i u))) n0_i)) 1))
(* (pow n0_i 2) (- (* -1 (/ (+ (* -1 (* n1_i u)) (+ (* -1 (/ (* (pow n1_i 2) (pow u 2)) n0_i)) (* n1_i u))) n0_i)) 1))
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
(* -1 n0_i)
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* u (+ n1_i (/ n0_i u)))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ n0_i u)))))
n0_i
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(* n1_i u)
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i (+ u (/ n0_i n1_i)))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ n0_i n1_i)))))
(* n1_i u)
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
(+ n0_i (* n1_i u))
n0_i
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
(* n0_i (+ 1 (/ (* n1_i u) n0_i)))
n0_i
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
(* -1 (* n0_i (- (* -1 (/ (* n1_i u) n0_i)) 1)))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* n1_i u))
(+ n0_i (+ (* 1/6 (* n1_i (* (pow normAngle 2) u))) (* n1_i u)))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(+ n0_i (+ (* n1_i u) (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 (* n1_i u)) (+ (* 1/720 (* n1_i u)) (* 1/6 (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u)))))))) (+ (* -1/36 (* n1_i u)) (* 1/120 (* n1_i u))))) (* -1/6 (* n1_i u))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(* normAngle (+ (/ n0_i normAngle) (/ (* n1_i u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (* -1 (/ (* n1_i u) (sin normAngle))))))
n0_i
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(+ n0_i (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 (/ n0_i n1_i)) (* -1 (/ (* normAngle u) (sin normAngle))))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(+ 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)))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u normAngle)
(/ (+ u (* 1/6 (* (pow normAngle 2) u))) normAngle)
(/ (+ u (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 u) (* 1/120 u)))) (* -1/6 u)))) normAngle)
(/ (+ 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))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (sin normAngle))
(/ u (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)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
(* n1_i normAngle)
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))
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))
n0_i
(+ n0_i (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))))
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))
(+ n0_i (* u (+ n1_i (+ (* -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 u)
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))
(* n1_i u)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* 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 (* n0_i (- 1 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))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(* n1_i u)
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i 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)) (/ (* n1_i u) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(* n1_i u)
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ u (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i u)
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))

Outputs
(* -3 u)
(*.f32 #s(literal -3 binary32) u)
(* u (- (* 3 u) 3))
(*.f32 u (fma.f32 u #s(literal 3 binary32) #s(literal -3 binary32)))
(* u (- (* u (+ 3 (* -1 u))) 3))
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32)))
(* u (- (* u (+ 3 (* -1 u))) 3))
(*.f32 u (fma.f32 u (-.f32 #s(literal 3 binary32) u) #s(literal -3 binary32)))
(* -1 (pow u 3))
(neg.f32 (.f32 u (.f32 u u)))
(* (pow u 3) (- (* 3 (/ 1 u)) 1))
(.f32 (.f32 u (*.f32 u u)) (+.f32 #s(literal -1 binary32) (/.f32 #s(literal 3 binary32) u)))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(.f32 (.f32 u (*.f32 u u)) (+.f32 (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u) #s(literal -1 binary32)))
(* (pow u 3) (- (* 3 (/ 1 u)) (+ 1 (/ 3 (pow u 2)))))
(.f32 (.f32 u (*.f32 u u)) (+.f32 (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u) #s(literal -1 binary32)))
(* -1 (pow u 3))
(neg.f32 (.f32 u (.f32 u u)))
(* -1 (* (pow u 3) (- 1 (* 3 (/ 1 u)))))
(.f32 (.f32 u (*.f32 u u)) (neg.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -3 binary32) u))))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(.f32 (neg.f32 (.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u)))
(* -1 (* (pow u 3) (+ 1 (* -1 (/ (- 3 (* 3 (/ 1 u))) u)))))
(.f32 (neg.f32 (.f32 u (*.f32 u u))) (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 #s(literal 3 binary32) (/.f32 #s(literal -3 binary32) u)) u)))
(* u (- (* -1/24 n0_i) (+ (* -1/18 n0_i) (* -1/120 n0_i))))
(.f32 u (.f32 n0_i #s(literal 1/45 binary32)))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (* -1/12 n0_i) (* -1/36 n0_i)))) (+ (* -1/18 n0_i) (* -1/120 n0_i))))
(.f32 u (fma.f32 (.f32 u u) (.f32 n0_i #s(literal -1/18 binary32)) (.f32 n0_i #s(literal 1/45 binary32))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* 1/24 (* n0_i u))) (* -1/36 n0_i)))) (+ (* -1/18 n0_i) (* -1/120 n0_i))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 u (.f32 n0_i #s(literal 1/24 binary32)) (.f32 n0_i #s(literal -1/18 binary32))) (*.f32 n0_i #s(literal 1/45 binary32))))
(* u (- (+ (* -1/24 n0_i) (* (pow u 2) (- (+ (* -1/12 n0_i) (* u (+ (* -1/120 (* n0_i u)) (* 1/24 n0_i)))) (* -1/36 n0_i)))) (+ (* -1/18 n0_i) (* -1/120 n0_i))))
(.f32 u (fma.f32 (.f32 u u) (fma.f32 u (fma.f32 u (.f32 n0_i #s(literal -1/120 binary32)) (.f32 n0_i #s(literal 1/24 binary32))) (.f32 n0_i #s(literal -1/18 binary32))) (.f32 n0_i #s(literal 1/45 binary32))))
(* -1/120 (* n0_i (pow u 5)))
(.f32 #s(literal -1/120 binary32) (.f32 n0_i (pow.f32 u #s(literal 5 binary32))))
(* (pow u 5) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n0_i #s(literal -1/120 binary32) (/.f32 (.f32 n0_i #s(literal 1/24 binary32)) u)))
(* (pow u 5) (- (+ (* -1/12 (/ n0_i (pow u 2))) (+ (* -1/120 n0_i) (* 1/24 (/ n0_i u)))) (* -1/36 (/ n0_i (pow u 2)))))
(.f32 (pow.f32 u #s(literal 5 binary32)) (fma.f32 n0_i (/.f32 #s(literal -1/12 binary32) (.f32 u u)) (fma.f32 n0_i #s(literal -1/120 binary32) (fma.f32 n0_i (/.f32 #s(literal 1/24 binary32) u) (.f32 (/.f32 n0_i (.f32 u u)) #s(literal 1/36 binary32))))))
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(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
(* n1_i normAngle)
(*.f32 n1_i normAngle)
1
#s(literal 1 binary32)
(+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))
(fma.f32 (neg.f32 normAngle) (*.f32 (cos.f32 normAngle) (/.f32 u (sin.f32 normAngle))) #s(literal 1 binary32))
(+ 1 (* u (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (* -1/2 (* (pow normAngle 2) u)))))
(fma.f32 u (fma.f32 (neg.f32 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)) (.f32 (.f32 u (*.f32 normAngle normAngle)) #s(literal -1/2 binary32))) #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 normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))) (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32)))) (neg.f32 (*.f32 (cos.f32 normAngle) (/.f32 normAngle (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 #s(literal -1/6 binary32) (.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32))) (*.f32 normAngle normAngle)) (-.f32 #s(literal 1 binary32) u))
(- (+ 1 (* (pow normAngle 2) (- (+ (* -1/6 (pow (- 1 u) 3)) (* (pow normAngle 2) (- (* 1/120 (pow (- 1 u) 5)) (+ (* -1/6 (- (* -1/6 (pow (- 1 u) 3)) (* -1/6 (- 1 u)))) (* 1/120 (- 1 u)))))) (* -1/6 (- 1 u))))) u)
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/36 binary32))) (.f32 #s(literal -1/120 binary32) (-.f32 #s(literal 1 binary32) u))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 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 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (+.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/5040 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/36 binary32))) (.f32 #s(literal -1/120 binary32) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -1/720 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32))) (fma.f32 (neg.f32 u) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32))))) (fma.f32 #s(literal -1/36 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) u) #s(literal 1/36 binary32))) (.f32 #s(literal -1/120 binary32) (-.f32 #s(literal 1 binary32) u)))) (.f32 #s(literal -1/6 binary32) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 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))
n0_i
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(fma.f32 (neg.f32 n0_i) (.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u))))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (.f32 n0_i (.f32 (.f32 u (*.f32 normAngle normAngle)) #s(literal -1/2 binary32)))) n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle))))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (.f32 (.f32 #s(literal 1/6 binary32) n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))) (/.f32 (.f32 normAngle (.f32 (cos.f32 normAngle) n0_i)) (neg.f32 (sin.f32 normAngle)))) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* n0_i (- 1 u))
(fma.f32 u (neg.f32 n0_i) n0_i)
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 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) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (fma.f32 u (neg.f32 n0_i) n0_i))) (.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)) (+.f32 u #s(literal -1 binary32)))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32))))) (fma.f32 u (neg.f32 n0_i) n0_i))
(+ (* n0_i (- 1 u)) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* (pow normAngle 2) (- (* -1/5040 (* n0_i (pow (- 1 u) 7))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/5040 (* n0_i (- 1 u))) (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u)))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (-.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) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (fma.f32 u (neg.f32 n0_i) n0_i))) (.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)) (+.f32 u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))) (.f32 n0_i (fma.f32 (neg.f32 u) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))))) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (fma.f32 u (neg.f32 n0_i) n0_i))) (.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)) (+.f32 u #s(literal -1 binary32))))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32))))) (fma.f32 u (neg.f32 n0_i) n0_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (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)
n0_i
(+ n0_i (* u (+ n1_i (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) n1_i) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* -1/2 (* n0_i (* (pow normAngle 2) u)))))))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) (fma.f32 n0_i (.f32 (.f32 u (.f32 normAngle normAngle)) #s(literal -1/2 binary32)) n1_i)) n0_i)
(+ n0_i (* u (+ n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (* u (cos normAngle)))) (sin normAngle)))))))))
(fma.f32 u (fma.f32 u (fma.f32 n0_i (.f32 normAngle (.f32 normAngle #s(literal -1/2 binary32))) (.f32 (.f32 #s(literal 1/6 binary32) n0_i) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 u normAngle) (/.f32 (cos.f32 normAngle) (sin.f32 normAngle)))))) (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) n1_i)) n0_i)
(* n1_i u)
(*.f32 u n1_i)
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))
(.f32 u (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 u (sin.f32 normAngle))) n1_i))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))
(.f32 u (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 u (sin.f32 normAngle))) n1_i))
(* u (+ n1_i (/ (* n0_i (sin (* normAngle (- 1 u)))) (* u (sin normAngle)))))
(.f32 u (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 u (sin.f32 normAngle))) n1_i))
(* n1_i u)
(*.f32 u n1_i)
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
(.f32 u (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 u (sin.f32 normAngle))) n1_i))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
(.f32 u (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 u (sin.f32 normAngle))) n1_i))
(* -1 (* u (+ (* -1 n1_i) (* -1 (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (* u (sin normAngle)))))))
(.f32 u (fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (.f32 u (sin.f32 normAngle))) n1_i))
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 u n1_i (fma.f32 u (neg.f32 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)))))))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))) (fma.f32 u n1_i (fma.f32 u (neg.f32 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))))) (* 1/120 (* n0_i (- 1 u))))))) (* -1/6 (* n0_i (- 1 u)))))))
(fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (fma.f32 u (neg.f32 n0_i) n0_i))) (.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)) (+.f32 u #s(literal -1 binary32)))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32))))) (fma.f32 u n1_i (fma.f32 u (neg.f32 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))) (* 1/120 (- (* -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) (-.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) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (fma.f32 u (neg.f32 n0_i) n0_i))) (.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)) (+.f32 u #s(literal -1 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)) (+.f32 u #s(literal -1 binary32)))) (.f32 n0_i (fma.f32 (neg.f32 u) #s(literal -1/5040 binary32) #s(literal -1/5040 binary32)))))) (+.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32))) (.f32 #s(literal -1/120 binary32) (fma.f32 u (neg.f32 n0_i) n0_i))) (.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)) (+.f32 u #s(literal -1 binary32))))))) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32))))) (fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(* n1_i u)
(*.f32 u n1_i)
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i u) n0_i)))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i 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 u) n0_i)))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i 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 u) n0_i)))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i u) n0_i)))))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i 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 u) n0_i)))))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i 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 u) n0_i)))))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(*.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(+ (* n1_i u) (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)))
(fma.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (/.f32 n0_i (sin.f32 normAngle)) (*.f32 u n1_i))
(* n1_i u)
(*.f32 u n1_i)
(* n1_i (+ u (/ (* 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 n1_i (sin.f32 normAngle))) u))
(* n1_i (+ u (/ (* 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 n1_i (sin.f32 normAngle))) u))
(* n1_i (+ u (/ (* 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 n1_i (sin.f32 normAngle))) u))
(* n1_i u)
(*.f32 u n1_i)
(* -1 (* n1_i (+ (* -1 u) (* -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 n1_i (sin.f32 normAngle))) u))
(* -1 (* n1_i (+ (* -1 u) (* -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 n1_i (sin.f32 normAngle))) u))
(* -1 (* n1_i (+ (* -1 u) (* -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 n1_i (sin.f32 normAngle))) u))

eval189.0ms (1%)

Memory: -8.7MiB live, 234.4MiB allocated
Compiler: Compiled 54 517 to 3 140 computations (94.2% saved)

prune185.0ms (1%)

Memory

-2.8MiB live, 434.1MiB allocated

Pruning

39 alts after pruning (37 fresh and 2 done)

	Pruned	Kept	Total
New	1 199	19	1 218
Fresh	19	18	37
Picked	4	1	5
Done	0	1	1
Total	1 222	39	1 261

Accuracy

100.0%

Counts

1 261 → 39

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(fma.f32 (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 u n1_i))
	75.6%	(fma.f32 (/.f32 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) (*.f32 normAngle n1_i) n0_i)
	75.5%	(fma.f32 (/.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle)) (.f32 normAngle n1_i) n0_i)
	75.2%	(fma.f32 (/.f32 u (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) (*.f32 normAngle n1_i) n0_i)
	74.6%	(fma.f32 (/.f32 u normAngle) (*.f32 normAngle n1_i) n0_i)
	81.3%	(fma.f32 (.f32 u (.f32 normAngle normAngle)) (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 u n1_i n0_i))
	98.1%	(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))) (fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i)))
	98.0%	(fma.f32 u (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) n1_i) n0_i)
	97.8%	(fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i))
✓	80.7%	(fma.f32 u n1_i n0_i)
	80.6%	(fma.f32 n0_i (/.f32 (*.f32 u n1_i) n0_i) n0_i)
	65.7%	(/.f32 (fma.f32 (.f32 u u) (.f32 n1_i n1_i) (*.f32 (neg.f32 n0_i) n0_i)) (fma.f32 u n1_i (neg.f32 n0_i)))
	32.1%	(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
	98.8%	(+.f32 (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 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n1_i))
	99.3%	(+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) (.f32 n0_i #s(literal -1/18 binary32)) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	99.3%	(+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n0_i #s(literal 1/45 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	99.1%	(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	97.7%	(+.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))))) (.f32 u n1_i))
	82.1%	(+.f32 (/.f32 (.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) n0_i) (sin.f32 normAngle)) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
	99.2%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 #s(literal 1/120 binary32) (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) #s(literal -1/120 binary32) (.f32 #s(literal -1/36 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)))) (.f32 #s(literal -1/6 binary32) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
	98.3%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
	98.8%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
	97.7%	(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
	97.3%	(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 u n1_i))
	97.6%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle))) n0_i) (.f32 u n1_i))
	97.5%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle))) n0_i) (*.f32 u n1_i))
	97.2%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 u n1_i))
	98.3%	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n1_i))
	80.7%	(+.f32 (*.f32 u n1_i) n0_i)
	72.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 n1_i (.f32 u u))) (.f32 normAngle n1_i))))))
	68.7%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))))
	81.4%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 u (.f32 normAngle normAngle)) #s(literal 7/360 binary32) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
	81.3%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n1_i))
	80.6%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
	80.5%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
	81.9%	(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
	38.1%	(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
✓	37.9%	(*.f32 u n1_i)
	97.4%	(*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))

Compiler

Compiled 3 319 to 1 009 computations (69.6% saved)

regimes170.0ms (0.9%)

Memory

-3.1MiB live, 204.1MiB allocated

Counts

92 → 1

Calls

Call 1

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

Calls

5 calls:

45.0ms	(+.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))
44.0ms	n0_i
27.0ms	u
26.0ms	normAngle
23.0ms	n1_i

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes105.0ms (0.6%)

Memory

-0.8MiB live, 236.6MiB allocated

Counts

70 → 1

Calls

Call 1

Inputs
(*.f32 u n1_i)
(fma.f32 u n1_i n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 u n1_i))
(fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(fma.f32 n0_i (/.f32 (*.f32 u n1_i) n0_i) n0_i)
(fma.f32 (/.f32 u normAngle) (*.f32 normAngle n1_i) n0_i)
(*.f32 n0_i (neg.f32 (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))))
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 u n1_i n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i n0_i)))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u n1_i))))
(/.f32 (*.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))) (fma.f32 u n1_i (neg.f32 n0_i)))
(fma.f32 (/.f32 u (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) (*.f32 normAngle n1_i) n0_i)
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 normAngle normAngle)) (fma.f32 u n1_i n0_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(/.f32 (fma.f32 (.f32 u u) (.f32 n1_i n1_i) (*.f32 (neg.f32 n0_i) n0_i)) (fma.f32 u n1_i (neg.f32 n0_i)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i))) (.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))))
(.f32 (fma.f32 u n1_i n0_i) (.f32 (fma.f32 u n1_i (neg.f32 n0_i)) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i)))))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 u (.f32 normAngle normAngle)) #s(literal 7/360 binary32) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 #s(literal 1/6 binary32) n1_i) (.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 7/360 binary32))) n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (.f32 u n1_i)) (.f32 (fma.f32 u n1_i n0_i) (-.f32 n0_i (*.f32 u n1_i)))))
(fma.f32 (/.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle)) (.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))) (fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i)))
(+.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))))) (.f32 u n1_i))
(fma.f32 (/.f32 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) (*.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (.f32 normAngle (neg.f32 normAngle)) (.f32 u #s(literal 7/360 binary32))) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 u n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle))) n0_i) (*.f32 u n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 n1_i (.f32 u u))) (.f32 normAngle n1_i))))))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle))) n0_i) (.f32 u n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n0_i #s(literal 1/45 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) (.f32 n0_i #s(literal -1/18 binary32)) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(fma.f32 u (fma.f32 (neg.f32 n0_i) (*.f32 (cos.f32 normAngle) (/.f32 normAngle (sin.f32 normAngle))) n1_i) n0_i)
(fma.f32 (/.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 normAngle)) n0_i (.f32 u n1_i))
(+.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (/.f32 (sin.f32 (.f32 u normAngle)) (sin.f32 normAngle)) n1_i))
(+.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 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 u n1_i))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 n0_i (neg.f32 u) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 (sin.f32 (*.f32 normAngle u)) n1_i))))
(*.f32 n0_i (fma.f32 u (/.f32 n1_i n0_i) (/.f32 (sin.f32 (fma.f32 u (neg.f32 normAngle) normAngle)) (sin.f32 normAngle))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (sin.f32 (fma.f32 normAngle (neg.f32 u) normAngle)))) n0_i) (.f32 u n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) (.f32 n1_i (sin.f32 (.f32 u normAngle)))) (sin.f32 normAngle))))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/3 binary32)) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.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 #s(literal -1/6 binary32) (*.f32 u u) #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (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 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (/.f32 (.f32 (sin.f32 (*.f32 normAngle u)) n1_i) (sin.f32 normAngle)))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (/.f32 n1_i (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u)))))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 normAngle) (sin.f32 (.f32 normAngle u))) n1_i)))

Outputs

(+.f32 (fma.f32 (*.f32 normAngle normAngle) (fma.f32 (*.f32 normAngle normAngle) (*.f32 u (fma.f32 (*.f32 u u) (*.f32 n0_i #s(literal -1/18 binary32)) (*.f32 n0_i #s(literal 1/45 binary32)))) (*.f32 (*.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (*.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (*.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))

Calls

5 calls:

22.0ms	n1_i
20.0ms	u
20.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
19.0ms	n0_i
19.0ms	normAngle

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes72.0ms (0.4%)

Memory

8.0MiB live, 164.4MiB allocated

Counts

49 → 1

Calls

Call 1

Inputs
(*.f32 u n1_i)
(fma.f32 u n1_i n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 u n1_i))
(fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(fma.f32 n0_i (/.f32 (*.f32 u n1_i) n0_i) n0_i)
(fma.f32 (/.f32 u normAngle) (*.f32 normAngle n1_i) n0_i)
(*.f32 n0_i (neg.f32 (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))))
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 u n1_i n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i n0_i)))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u n1_i))))
(/.f32 (*.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))) (fma.f32 u n1_i (neg.f32 n0_i)))
(fma.f32 (/.f32 u (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) (*.f32 normAngle n1_i) n0_i)
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 normAngle normAngle)) (fma.f32 u n1_i n0_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(/.f32 (fma.f32 (.f32 u u) (.f32 n1_i n1_i) (*.f32 (neg.f32 n0_i) n0_i)) (fma.f32 u n1_i (neg.f32 n0_i)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i))) (.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))))
(.f32 (fma.f32 u n1_i n0_i) (.f32 (fma.f32 u n1_i (neg.f32 n0_i)) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i)))))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 u (.f32 normAngle normAngle)) #s(literal 7/360 binary32) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 #s(literal 1/6 binary32) n1_i) (.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 7/360 binary32))) n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (.f32 u n1_i)) (.f32 (fma.f32 u n1_i n0_i) (-.f32 n0_i (*.f32 u n1_i)))))
(fma.f32 (/.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle)) (.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))) (fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i)))
(+.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))))) (.f32 u n1_i))
(fma.f32 (/.f32 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) (*.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (.f32 normAngle (neg.f32 normAngle)) (.f32 u #s(literal 7/360 binary32))) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 u n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle))) n0_i) (*.f32 u n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 n1_i (.f32 u u))) (.f32 normAngle n1_i))))))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle))) n0_i) (.f32 u n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n0_i #s(literal 1/45 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))

Outputs

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes72.0ms (0.4%)

Memory

-11.8MiB live, 154.3MiB allocated

Counts

48 → 1

Calls

Call 1

Inputs
(*.f32 u n1_i)
(fma.f32 u n1_i n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 u n1_i))
(fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(fma.f32 n0_i (/.f32 (*.f32 u n1_i) n0_i) n0_i)
(fma.f32 (/.f32 u normAngle) (*.f32 normAngle n1_i) n0_i)
(*.f32 n0_i (neg.f32 (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))))
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 u n1_i n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i n0_i)))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u n1_i))))
(/.f32 (*.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))) (fma.f32 u n1_i (neg.f32 n0_i)))
(fma.f32 (/.f32 u (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) (*.f32 normAngle n1_i) n0_i)
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 normAngle normAngle)) (fma.f32 u n1_i n0_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(/.f32 (fma.f32 (.f32 u u) (.f32 n1_i n1_i) (*.f32 (neg.f32 n0_i) n0_i)) (fma.f32 u n1_i (neg.f32 n0_i)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i))) (.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))))
(.f32 (fma.f32 u n1_i n0_i) (.f32 (fma.f32 u n1_i (neg.f32 n0_i)) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i)))))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 u (.f32 normAngle normAngle)) #s(literal 7/360 binary32) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 #s(literal 1/6 binary32) n1_i) (.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 7/360 binary32))) n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (.f32 u n1_i)) (.f32 (fma.f32 u n1_i n0_i) (-.f32 n0_i (*.f32 u n1_i)))))
(fma.f32 (/.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle)) (.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))) (fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i)))
(+.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))))) (.f32 u n1_i))
(fma.f32 (/.f32 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) (*.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (.f32 normAngle (neg.f32 normAngle)) (.f32 u #s(literal 7/360 binary32))) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 u n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle))) n0_i) (*.f32 u n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 n1_i (.f32 u u))) (.f32 normAngle n1_i))))))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle))) n0_i) (.f32 u n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))

Outputs

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

Calls

5 calls:

14.0ms	u
14.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
14.0ms	n0_i
13.0ms	n1_i
12.0ms	normAngle

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes69.0ms (0.4%)

Memory

33.8MiB live, 143.6MiB allocated

Counts

47 → 1

Calls

Call 1

Inputs
(*.f32 u n1_i)
(fma.f32 u n1_i n0_i)
(+.f32 (*.f32 u n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 u n1_i))
(fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i))
(+.f32 (.f32 (-.f32 #s(literal 1 binary32) u) n0_i) (.f32 u n1_i))
(*.f32 n1_i (+.f32 u (/.f32 n0_i n1_i)))
(*.f32 u (+.f32 n1_i (/.f32 n0_i u)))
(fma.f32 n0_i (/.f32 (*.f32 u n1_i) n0_i) n0_i)
(fma.f32 (/.f32 u normAngle) (*.f32 normAngle n1_i) n0_i)
(*.f32 n0_i (neg.f32 (fma.f32 (neg.f32 n1_i) (/.f32 u n0_i) #s(literal -1 binary32))))
(fma.f32 (.f32 u (.f32 normAngle normAngle)) (*.f32 #s(literal 1/6 binary32) n1_i) (fma.f32 u n1_i n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i n0_i)))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 u #s(literal 1/6 binary32)) u) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 u n1_i))))
(/.f32 (*.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))) (fma.f32 u n1_i (neg.f32 n0_i)))
(fma.f32 (/.f32 u (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle)) (*.f32 normAngle n1_i) n0_i)
(fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 n1_i (fma.f32 u (.f32 u u) (neg.f32 u))) (.f32 normAngle normAngle)) (fma.f32 u n1_i n0_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(/.f32 (fma.f32 (.f32 u u) (.f32 n1_i n1_i) (*.f32 (neg.f32 n0_i) n0_i)) (fma.f32 u n1_i (neg.f32 n0_i)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i))) (.f32 (fma.f32 u n1_i n0_i) (fma.f32 u n1_i (neg.f32 n0_i))))
(.f32 (fma.f32 u n1_i n0_i) (.f32 (fma.f32 u n1_i (neg.f32 n0_i)) (/.f32 #s(literal 1 binary32) (fma.f32 u n1_i (neg.f32 n0_i)))))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 u (.f32 normAngle normAngle)) #s(literal 7/360 binary32) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
(fma.f32 u n1_i (fma.f32 (.f32 normAngle normAngle) (fma.f32 u (.f32 #s(literal 1/6 binary32) n1_i) (.f32 (.f32 (.f32 u (.f32 normAngle normAngle)) n1_i) #s(literal 7/360 binary32))) n0_i))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 n0_i (.f32 u n1_i)) (.f32 (fma.f32 u n1_i n0_i) (-.f32 n0_i (*.f32 u n1_i)))))
(fma.f32 (/.f32 u (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle)) (.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 u n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))) (fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i)))
(+.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))))) (.f32 u n1_i))
(fma.f32 (/.f32 u (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle)) (*.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (fma.f32 u #s(literal 1/840 binary32) (.f32 u #s(literal -7/2160 binary32))) (.f32 normAngle (neg.f32 normAngle)) (.f32 u #s(literal 7/360 binary32))) (.f32 u #s(literal 1/6 binary32))) u) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(/.f32 (.f32 n1_i (.f32 u normAngle)) (sin.f32 normAngle))
(/.f32 (.f32 normAngle (.f32 u n1_i)) (sin.f32 normAngle))
(fma.f32 u (*.f32 (/.f32 normAngle (sin.f32 normAngle)) n1_i) n0_i)
(fma.f32 (/.f32 u (sin.f32 normAngle)) (*.f32 normAngle n1_i) n0_i)
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 u (fma.f32 (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle)) (/.f32 normAngle (sin.f32 normAngle)))) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 normAngle (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle))) n0_i) (.f32 u n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle #s(literal 7/360 binary32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle) #s(literal -1/6 binary32)) normAngle) normAngle))) n0_i) (*.f32 u n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 normAngle (.f32 normAngle (fma.f32 normAngle (*.f32 normAngle #s(literal 31/15120 binary32)) #s(literal 7/360 binary32))) #s(literal 1/6 binary32)) #s(literal 1 binary32)) normAngle)) n1_i))
(+.f32 (.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 normAngle) (.f32 u (fma.f32 #s(literal -1/6 binary32) (.f32 (.f32 normAngle (.f32 normAngle normAngle)) (.f32 n1_i (.f32 u u))) (.f32 normAngle n1_i))))))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) normAngle)) n1_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) #s(literal -1/5040 binary32) #s(literal 1/120 binary32)) #s(literal -1/6 binary32)) (.f32 normAngle (.f32 normAngle normAngle)) normAngle))) n0_i) (.f32 u n1_i))

Outputs

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

Calls

5 calls:

15.0ms	normAngle
14.0ms	n1_i
14.0ms	n0_i
13.0ms	(+.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))
12.0ms	u

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes65.0ms (0.3%)

Memory

-22.3MiB live, 137.5MiB allocated

Counts

42 → 1

Calls

Call 1

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

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

Calls

5 calls:

15.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
12.0ms	n0_i
12.0ms	u
11.0ms	n1_i
11.0ms	normAngle

Results

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

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes80.0ms (0.4%)

Memory

21.8MiB live, 102.4MiB allocated

Counts

37 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

36.0ms	u
12.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
10.0ms	n1_i
10.0ms	n0_i
10.0ms	normAngle

Results

Accuracy	Segments	Branch
98.3%	1	`normAngle`
98.3%	1	`u`
98.3%	1	`n1_i`
98.3%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
98.3%	1	`n0_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes65.0ms (0.3%)

Memory

-20.5MiB live, 97.4MiB allocated

Counts

31 → 1

Calls

Call 1

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

Outputs

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

Calls

5 calls:

26.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
10.0ms	u
9.0ms	n1_i
8.0ms	n0_i
8.0ms	normAngle

Results

Accuracy	Segments	Branch
98.1%	1	`normAngle`
98.1%	1	`u`
98.1%	1	`n0_i`
98.1%	1	`n1_i`
98.1%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes42.0ms (0.2%)

Memory

10.9MiB live, 86.8MiB allocated

Counts

27 → 1

Calls

Call 1

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

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

Calls

5 calls:

9.0ms	n0_i
9.0ms	normAngle
8.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
7.0ms	n1_i
7.0ms	u

Results

Accuracy	Segments	Branch
97.8%	1	`normAngle`
97.8%	1	`u`
97.8%	1	`n0_i`
97.8%	1	`n1_i`
97.8%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes11.0ms (0.1%)

Memory

19.9MiB live, 19.9MiB allocated

Counts

4 → 1

Calls

Call 1

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

Outputs
(fma.f32 u n1_i n0_i)

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
80.7%	1	`normAngle`
80.7%	1	`u`
80.7%	1	`n0_i`
80.7%	1	`n1_i`
80.7%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`

Compiler

Compiled 49 to 33 computations (32.7% saved)

regimes9.0ms (0%)

Memory

-20.8MiB live, 16.3MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
(*.f32 u n1_i)

Outputs
(*.f32 u n1_i)

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))
1.0ms	n0_i
1.0ms	u
1.0ms	normAngle
1.0ms	n1_i

Results

Accuracy	Segments	Branch
37.9%	1	`n0_i`
37.9%	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))`
37.9%	1	`u`
37.9%	1	`normAngle`
37.9%	1	`n1_i`

Compiler

Compiled 49 to 33 computations (32.7% saved)

simplify10.0ms (0.1%)

Memory

26.3MiB live, 26.3MiB allocated

Algorithm

1×	egg-herbie

Rules

44×	`*-commutative_binary32`
28×	`+-commutative_binary32`
10×	`sub-neg_binary32`
6×	`neg-sub0_binary32`
6×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	74	336
1	112	336
2	120	336
3	124	336
4	125	336

Stop Event

1×

saturated

Calls

Call 1

Inputs
(+.f32 (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 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) (.f32 n0_i #s(literal -1/18 binary32)) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n0_i #s(literal 1/45 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))) (fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i)))
(fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i))
(fma.f32 u n1_i n0_i)
(*.f32 u n1_i)

Outputs
(+.f32 (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 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (.f32 (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32)) n0_i))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (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 #s(literal 1/120 binary32) n0_i)) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)))) (.f32 n0_i (fma.f32 u #s(literal -1/120 binary32) #s(literal 1/120 binary32))))) (.f32 (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (.f32 n0_i #s(literal -1/6 binary32)))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) (.f32 n0_i #s(literal -1/18 binary32)) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (fma.f32 (.f32 u u) (.f32 n0_i #s(literal -1/18 binary32)) (.f32 n0_i #s(literal 1/45 binary32)))) (.f32 (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 n0_i #s(literal -1/6 binary32)))) (fma.f32 u (neg.f32 n0_i) n0_i)))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n0_i #s(literal 1/45 binary32))) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u))) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i) (fma.f32 (.f32 normAngle normAngle) (fma.f32 (.f32 normAngle normAngle) (.f32 u (.f32 n0_i #s(literal 1/45 binary32))) (.f32 (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (*.f32 n0_i #s(literal -1/6 binary32)))) (fma.f32 u (neg.f32 n0_i) n0_i)))
(+.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n0_i) (+.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32)) u)) (fma.f32 u (neg.f32 n0_i) n0_i)) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i) (fma.f32 (.f32 normAngle normAngle) (.f32 (+.f32 u (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) #s(literal -1 binary32))) (.f32 n0_i #s(literal -1/6 binary32))) (fma.f32 u (neg.f32 n0_i) n0_i)))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (*.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i) (.f32 n0_i (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))))
(+.f32 (fma.f32 u (neg.f32 n0_i) n0_i) (.f32 (.f32 normAngle (/.f32 u (sin.f32 normAngle))) n1_i))
(+.f32 (.f32 (fma.f32 (.f32 normAngle normAngle) (.f32 (fma.f32 u #s(literal 1/6 binary32) #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u) #s(literal -1 binary32))) (-.f32 #s(literal 1 binary32) u)) n0_i) (.f32 (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u) n1_i))
(+.f32 (.f32 n0_i (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))) (.f32 n1_i (fma.f32 normAngle (.f32 normAngle (.f32 #s(literal -1/6 binary32) (fma.f32 u (*.f32 u u) (neg.f32 u)))) u)))
(fma.f32 (.f32 normAngle normAngle) (.f32 (.f32 n0_i #s(literal -1/6 binary32)) (fma.f32 (-.f32 #s(literal 1 binary32) u) (.f32 (-.f32 #s(literal 1 binary32) u) (-.f32 #s(literal 1 binary32) u)) (+.f32 u #s(literal -1 binary32)))) (fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i)))
(fma.f32 u n1_i (fma.f32 u (neg.f32 n0_i) n0_i))
(fma.f32 u n1_i n0_i)
(*.f32 u n1_i)

soundness931.0ms (5%)

Memory

3.2MiB live, 879.0MiB allocated

Rules

10 772×	`lower-fma.f64`
10 772×	`lower-fma.f32`
10 454×	`lower-fma.f64`
10 454×	`lower-fma.f32`
9 956×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	615	5989
1	1952	5749
2	6027	5738
0	8397	5477
0	221	1517
1	631	1440
2	2036	1412
3	6714	1412
0	8220	1364
0	607	4846
1	1959	4565
2	6512	4518
0	8599	4287
0	481	4927
1	1546	4764
2	5659	4750
0	8263	4544

Stop Event

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

Compiler

Compiled 854 to 387 computations (54.7% saved)

preprocess69.0ms (0.4%)

Memory: -9.1MiB live, 187.4MiB allocated
Remove: (abs normAngle)
Compiler: Compiled 1 830 to 670 computations (63.4% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze303.0ms (1.6%)

sample3.6s (19.3%)

preprocess128.0ms (0.7%)

explain253.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify0.0ms (0%)

localize52.0ms (0.3%)

series21.0ms (0.1%)

rewrite300.0ms (1.6%)

simplify355.0ms (1.9%)

eval31.0ms (0.2%)

prune49.0ms (0.3%)

simplify0.0ms (0%)

localize241.0ms (1.3%)

series86.0ms (0.5%)

rewrite405.0ms (2.2%)

simplify429.0ms (2.3%)

eval232.0ms (1.2%)

prune263.0ms (1.4%)

simplify0.0ms (0%)

localize6.1s (32.4%)

series1.0s (5.4%)

rewrite679.0ms (3.6%)

simplify675.0ms (3.6%)

eval124.0ms (0.7%)

prune225.0ms (1.2%)

simplify0.0ms (0%)

localize207.0ms (1.1%)

series70.0ms (0.4%)

rewrite389.0ms (2.1%)

simplify411.0ms (2.2%)

eval189.0ms (1%)

prune185.0ms (1%)

regimes170.0ms (0.9%)

regimes105.0ms (0.6%)

regimes72.0ms (0.4%)

regimes72.0ms (0.4%)

regimes69.0ms (0.4%)

regimes65.0ms (0.3%)

regimes80.0ms (0.4%)

regimes65.0ms (0.3%)

regimes42.0ms (0.2%)

regimes11.0ms (0.1%)

regimes9.0ms (0%)

simplify10.0ms (0.1%)

soundness931.0ms (5%)

preprocess69.0ms (0.4%)

end0.0ms (0%)

Profiling