Metrics for Curve intersection, scale width based on ribbon orientation

start0.0ms (0%)

Memory: 0.1MiB live, 0.1MiB allocated; 0ms collecting garbage

analyze436.0ms (3.9%)

Memory

35.8MiB live, 559.9MiB allocated; 87ms collecting garbage

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)

sample4.2s (37.6%)

Memory

103.3MiB live, 5 745.8MiB allocated; 1.2s collecting garbage

Samples

2.3s	8 256×	0	valid
969.0ms	2 038×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 2.7s

ival-sin: 679.0ms (25% of total)

ival-mult: 557.0ms (20.5% of total)

ival-sub: 373.0ms (13.7% of total)

ival-<=: 364.0ms (13.4% of total)

const: 275.0ms (10.1% of total)

ival-div: 198.0ms (7.3% of total)

ival-add: 122.0ms (4.5% of total)

ival-pi: 65.0ms (2.4% of total)

ival-and: 54.0ms (2% of total)

exact: 22.0ms (0.8% of total)

adjust: 4.0ms (0.1% of total)

ival-assert: 4.0ms (0.1% of total)

Bogosity

explain271.0ms (2.5%)

Memory

16.7MiB live, 341.8MiB allocated; 38ms collecting garbage

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
24	-	20	(1.514423187402063e-38 3.3818774682004005e-5 4.4878080984744884e-7 -1.8637189214132377e-6)	`(.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**	3	0

Confusion

	Predicted +	Predicted -
+	2	6
-	1	247

Precision

0.6666666666666666

Recall

0.25

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	2	0	6
-	1	0	247

Precision?

0.6666666666666666

Recall?

0.25

Freqs

test

number	freq
0	253
1	3

Total Confusion?

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

Precision?

1.0

Recall?

1.0

Samples

62.0ms	506×	0	valid
2.0ms	6×	1	valid

Compiler

Compiled 231 to 55 computations (76.2% saved)

Precisions

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

ival-mult: 21.0ms (47.8% of total)

ival-sin: 12.0ms (27.3% of total)

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

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

ival-add: 2.0ms (4.6% 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)

preprocess283.0ms (2.6%)

Memory

25.8MiB live, 267.6MiB allocated; 62ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	106	368
1	284	302
2	842	268
3	2688	256
4	4855	252
5	7086	252
0	17	25
0	29	25
1	49	21
2	110	18
3	314	18
4	627	18
5	988	18
6	1694	18
7	3471	18
8	6895	18
0	8389	17

Stop Event

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

Calls

Call 1

Inputs

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

Outputs

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

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

Symmetry

(abs normAngle)

Compiler

Compiled 25 to 17 computations (32% saved)

eval0.0ms (0%)

Memory: 0.2MiB live, 0.2MiB allocated; 0ms collecting garbage
Compiler: Compiled 0 to 4 computations (-∞% saved)

prune0.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.1%	(+.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))

Status

Accuracy

Program

▶

97.1%

(+.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 25 to 17 computations (32% saved)

simplify187.0ms (1.7%)

Memory

-24.3MiB live, 209.5MiB allocated; 18ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

New	Metric	Score
cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff	2	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	2	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	4	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	101
0	29	101
1	49	89
2	110	86
3	314	86
4	627	86
5	988	86
6	1694	86
7	3471	86
8	6895	86
0	8389	85

Stop Event

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

Calls

Call 1

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

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

localize53.0ms (0.5%)

Memory

36.1MiB live, 81.0MiB allocated; 3ms collecting garbage

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.14453125	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy	0.15625	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy	0.475605029305326	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy	1.6805179764463487	(.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))

Samples

29.0ms	253×	0	valid
1.0ms	3×	1	valid

Compiler

Compiled 103 to 19 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-mult: 8.0ms (41% of total)

ival-sin: 6.0ms (30.8% of total)

ival-div: 2.0ms (10.3% of total)

ival-add: 1.0ms (5.1% of total)

ival-sub: 1.0ms (5.1% 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)

series79.0ms (0.7%)

Memory

-33.8MiB live, 70.6MiB allocated; 18ms collecting garbage

Counts

5 → 49

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
32.0ms	n0_i	@	-inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
18.0ms	normAngle	@	0	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
6.0ms	n0_i	@	0	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
4.0ms	normAngle	@	-inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))
3.0ms	normAngle	@	inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (- 1 u) normAngle))

simplify221.0ms (2%)

Memory

10.1MiB live, 239.2MiB allocated; 30ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	321	1535
1	1092	1412
2	4415	1356
0	8208	1277

Stop Event

1×	iter limit
1×	node limit

Counts

49 → 46

Calls

Call 1

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

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

rewrite281.0ms (2.5%)

Memory

14.9MiB live, 233.3MiB allocated; 75ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	63
0	29	63
1	80	53
2	452	50
3	4752	50
0	8223	49

Stop Event

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

Counts

5 → 223

Calls

Call 1

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

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

eval49.0ms (0.4%)

Memory: 29.1MiB live, 73.2MiB allocated; 9ms collecting garbage
Compiler: Compiled 12 529 to 932 computations (92.6% saved)

prune46.0ms (0.4%)

Memory

-39.4MiB live, 26.8MiB allocated; 13ms collecting garbage

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	248	14	262
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	249	14	263

Accuracy

100.0%

Counts

263 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.6%	(fma.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
	87.1%	(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (.f32 normAngle u))) (.f32 (neg.f32 (neg.f32 n0_i)) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
▶	75.1%	(/.f32 (fma.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
▶	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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
	97.5%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.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))
	83.2%	(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	97.7%	(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 (neg.f32 n0_i) (.f32 (.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
	90.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (.f32 u (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle) (/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i))
▶	90.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
▶	98.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
▶	99.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
	97.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i))
	97.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i))
	39.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))

Compiler

Compiled 1 002 to 664 computations (33.7% saved)

simplify234.0ms (2.1%)

Memory

-45.6MiB live, 286.7MiB allocated; 113ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))
cost-diff	0	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
cost-diff	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 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
cost-diff	2	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
cost-diff	0	(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
cost-diff	0	(sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))
cost-diff	0	(fma.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (sin.f32 (*.f32 normAngle u))))
cost-diff	0	(/.f32 (fma.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
cost-diff	0	(/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
cost-diff	0	(fma.f32 (/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
cost-diff	2	(-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
cost-diff	0	(*.f32 n1_i u)
cost-diff	0	(-.f32 #s(literal 1 binary32) u)
cost-diff	0	(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff	0	(fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
cost-diff	1	(-.f32 (.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u)))
cost-diff	2	(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	535
0	99	535
1	198	499
2	483	486
3	1566	482
4	4895	482
0	8122	477

Stop Event

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

Calls

Call 1

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

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

localize240.0ms (2.2%)

Memory

-1.6MiB live, 377.2MiB allocated; 46ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.1171875	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
accuracy	0.14453125	(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
accuracy	0.15625	(.f32 (.f32 (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i)
accuracy	0.475605029305326	(.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)))
accuracy	0.10546875	(.f32 n1_i (sin.f32 (.f32 normAngle u)))
accuracy	0.13671875	(fma.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (sin.f32 (*.f32 normAngle u))))
accuracy	0.14453125	(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
accuracy	7.8751738736909065	(/.f32 (fma.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
accuracy	0.037441259768442016	(fma.f32 (/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
accuracy	0.05078125	(-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))
accuracy	0.07314356891746941	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
accuracy	6.406361730036356	(/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
accuracy	0.0	(-.f32 #s(literal 1 binary32) u)
accuracy	0.0	(*.f32 n1_i u)
accuracy	0.1484375	(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
accuracy	0.36016995886987196	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
accuracy	0.1484375	(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
accuracy	0.375	(.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))))
accuracy	0.5361900879159783	(pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))
accuracy	7.913785609900545	(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))

Samples

187.0ms	251×	0	valid
8.0ms	5×	1	valid

Compiler

Compiled 468 to 52 computations (88.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 173.0ms

ival-div: 70.0ms (40.5% of total)

ival-mult: 66.0ms (38.2% of total)

ival-sin: 9.0ms (5.2% of total)

ival-add: 7.0ms (4.1% of total)

ival-pow: 6.0ms (3.5% of total)

adjust: 5.0ms (2.9% of total)

ival-sub: 4.0ms (2.3% of total)

const: 4.0ms (2.3% of total)

ival-cos: 2.0ms (1.2% of total)

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

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

exact: 0.0ms (0% of total)

series140.0ms (1.3%)

Memory

-13.3MiB live, 282.2MiB allocated; 43ms collecting garbage

Counts

24 → 234

Calls

Call 1

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

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

Calls

12 calls:

Time	Variable		Point	Expression
29.0ms	u	@	inf	((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* n1_i (sin (* normAngle u))) (* (- 1 u) normAngle))
27.0ms	n0_i	@	0	((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* n1_i (sin (* normAngle u))) (* (- 1 u) normAngle))
11.0ms	u	@	0	((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* n1_i (sin (* normAngle u))) (* (- 1 u) normAngle))
9.0ms	n0_i	@	-inf	((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* n1_i (sin (* normAngle u))) (* (- 1 u) normAngle))
8.0ms	normAngle	@	inf	((+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- 1 u) (* n1_i u) (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/ (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin normAngle)) (+ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin (* normAngle u)))) (sin (* normAngle (- 1 u))) (* normAngle (- 1 u)) (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (sin (* (- 1 u) normAngle)) (pow (- 1 u) 3) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* n1_i (sin (* normAngle u))) (* (- 1 u) normAngle))

simplify274.0ms (2.5%)

Memory

19.2MiB live, 401.7MiB allocated; 36ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1044	5502
1	3777	5433
0	8207	5105

Stop Event

1×	iter limit
1×	node limit

Counts

234 → 232

Calls

Call 1

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

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

rewrite249.0ms (2.3%)

Memory

5.4MiB live, 322.5MiB allocated; 67ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	403
0	99	403
1	336	371
2	2414	371
0	8148	370

Stop Event

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

Counts

24 → 572

Calls

Call 1

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

Outputs
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)) #s(literal 2 binary32)))) (neg.f32 (+.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u))) #s(literal 2 binary32)) (pow.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)))) (neg.f32 (-.f32 (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u))) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 3 binary32)) (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)) #s(literal 2 binary32)) (.f32 (fma.f32 n1_i (pow.f32 u #s(literal 3 binary32)) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (pow.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32)) (pow.f32 (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u))) #s(literal 2 binary32))))) (neg.f32 (neg.f32 (-.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 9 binary32)) (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u))) #s(literal 3 binary32))))) (neg.f32 (neg.f32 (fma.f32 (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u))) (-.f32 (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u))) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)))) (pow.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 2 binary32))))))
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(/.f32 (fma.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))) (.f32 (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))) (pow.f32 n0_i #s(literal 3 binary32)))) (.f32 (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))) (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (.f32 n0_i n0_i) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))) (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 n0_i n0_i))) (neg.f32 (-.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) n0_i)))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i n0_i (-.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (*.f32 u n0_i))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 n0_i n0_i)) (-.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) n0_i))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (*.f32 u n0_i)))))
(/.f32 (+.f32 (pow.f32 n0_i #s(literal 3 binary32)) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32))))
(-.f32 (/.f32 (.f32 n0_i n0_i) (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))))) (/.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))))))
(-.f32 (/.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) n0_i)) (/.f32 (.f32 n0_i n0_i) (-.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) n0_i)))
(-.f32 n0_i (.f32 (neg.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u))
(-.f32 n0_i (.f32 (neg.f32 u) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))))
(fma.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i)
(fma.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)) n0_i)
(fma.f32 u (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) n0_i)
(+.f32 (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (.f32 u n0_i))))) (/.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (.f32 u n0_i))))))
(+.f32 (/.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (.f32 u n0_i))))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i n0_i (-.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) (.f32 u n0_i))))))
(+.f32 (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))) (/.f32 (pow.f32 n0_i #s(literal 3 binary32)) (fma.f32 n0_i (-.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle)))) (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)))))
(+.f32 (/.f32 (pow.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) #s(literal 2 binary32)) (-.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) n0_i)) (/.f32 (.f32 (neg.f32 n0_i) n0_i) (-.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) n0_i)))
(+.f32 (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))) n0_i)
(+.f32 n0_i (.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (/.f32 u (sin.f32 normAngle))))
(.f32 (/.f32 (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (.f32 normAngle n1_i)) (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (.f32 normAngle n1_i))) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)))
(.f32 (/.f32 (fma.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i) (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (.f32 normAngle n1_i)) (pow.f32 (.f32 normAngle n1_i) #s(literal 2 binary32))) (fma.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i) (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (.f32 normAngle n1_i)) (pow.f32 (.f32 normAngle n1_i) #s(literal 2 binary32)))) (/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))))) (neg.f32 (sin.f32 (neg.f32 (neg.f32 normAngle)))))
(/.f32 (neg.f32 (-.f32 (.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)))) (neg.f32 (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32))))
(/.f32 (-.f32 (.f32 (neg.f32 (.f32 normAngle n1_i)) (sin.f32 (neg.f32 normAngle))) (.f32 (sin.f32 (neg.f32 normAngle)) (neg.f32 (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (neg.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle)) (.f32 (sin.f32 (neg.f32 normAngle)) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i))) (.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (-.f32 (.f32 (.f32 normAngle n1_i) (sin.f32 (neg.f32 normAngle))) (.f32 (sin.f32 normAngle) (neg.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)))) (.f32 (sin.f32 normAngle) (sin.f32 (neg.f32 normAngle))))
(/.f32 (fma.f32 (neg.f32 (.f32 normAngle n1_i)) (sin.f32 normAngle) (.f32 (sin.f32 (neg.f32 normAngle)) (neg.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)))) (*.f32 (sin.f32 (neg.f32 normAngle)) (sin.f32 normAngle)))
(/.f32 (fma.f32 (.f32 normAngle n1_i) (sin.f32 normAngle) (.f32 (sin.f32 normAngle) (neg.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (-.f32 (neg.f32 (.f32 normAngle n1_i)) (neg.f32 (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (-.f32 (pow.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32))) (/.f32 (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (*.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (-.f32 (pow.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) #s(literal 2 binary32)) (+.f32 (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle))) #s(literal 2 binary32)) (.f32 (.f32 n1_i (/.f32 normAngle (sin.f32 normAngle))) (.f32 (.f32 (cos.f32 normAngle) normAngle) (/.f32 n0_i (sin.f32 normAngle)))))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)))) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 normAngle n1_i) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i) #s(literal 2 binary32)))) (neg.f32 (.f32 (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (.f32 normAngle n1_i)) (sin.f32 normAngle))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 normAngle n1_i) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i) #s(literal 3 binary32)))) (neg.f32 (.f32 (fma.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i) (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (.f32 normAngle n1_i)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32))) (sin.f32 normAngle))))
(/.f32 (-.f32 (.f32 (.f32 normAngle n1_i) (sin.f32 normAngle)) (.f32 (sin.f32 normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))) (pow.f32 (sin.f32 normAngle) #s(literal 2 binary32)))
(/.f32 (-.f32 (pow.f32 (.f32 normAngle n1_i) #s(literal 2 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i) #s(literal 2 binary32))) (.f32 (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (.f32 normAngle n1_i)) (sin.f32 normAngle)))
(/.f32 (-.f32 (pow.f32 (.f32 normAngle n1_i) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i) #s(literal 3 binary32))) (.f32 (fma.f32 (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i) (fma.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i (.f32 normAngle n1_i)) (pow.f32 (*.f32 normAngle n1_i) #s(literal 2 binary32))) (sin.f32 normAngle)))
(/.f32 (neg.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i))) (sin.f32 (neg.f32 normAngle)))
(/.f32 (-.f32 (.f32 normAngle n1_i) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))
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(fma.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))))
(fma.f32 #s(literal -1/6 binary32) (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))))
(fma.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u))) (.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)))
(fma.f32 (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u))) #s(literal -1/6 binary32) (.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)))
(fma.f32 n0_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) #s(literal -1/6 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))))
(fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (.f32 n0_i #s(literal -1/6 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))))
(+.f32 (/.f32 (.f32 #s(literal -1/216 binary32) (pow.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))))))) (/.f32 (.f32 #s(literal -1/216 binary32) (pow.f32 (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u))) #s(literal 3 binary32))) (+.f32 (pow.f32 (.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))))))
(+.f32 (.f32 (.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)) (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (*.f32 n1_i u)))))
(+.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (.f32 n1_i (pow.f32 u #s(literal 3 binary32))) (fma.f32 n0_i (-.f32 #s(literal 1 binary32) u) (.f32 n1_i u)))) (.f32 (*.f32 n0_i (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32))) #s(literal -1/6 binary32)))
(.f32 (sin.f32 (.f32 normAngle u)) n1_i)
(.f32 n1_i (sin.f32 (.f32 normAngle u)))
(*.f32 normAngle (-.f32 #s(literal 1 binary32) u))
(*.f32 (-.f32 #s(literal 1 binary32) u) normAngle)
(/.f32 (neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) normAngle)) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle)) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (neg.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u)))) (neg.f32 (+.f32 u #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))))) (neg.f32 (+.f32 (fma.f32 u u u) #s(literal 1 binary32))))
(/.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 u u)) normAngle) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32))) normAngle) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))
(/.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) (.f32 u u))) (+.f32 u #s(literal 1 binary32)))
(/.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) (pow.f32 u #s(literal 3 binary32)))) (+.f32 (fma.f32 u u u) #s(literal 1 binary32)))

eval286.0ms (2.6%)

Memory: 43.5MiB live, 365.3MiB allocated; 123ms collecting garbage
Compiler: Compiled 67 713 to 4 530 computations (93.3% saved)

prune56.0ms (0.5%)

Memory

-10.3MiB live, 92.7MiB allocated; 19ms collecting garbage

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	986	15	1 001
Fresh	8	1	9
Picked	5	0	5
Done	0	0	0
Total	999	16	1 015

Accuracy

100.0%

Counts

1 015 → 16

Alt Table

Click to see full alt table

Status	Accuracy	Program
	75.0%	(/.f32 (fma.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(approx ( n1_i (sin (* normAngle u))) (.f32 (.f32 normAngle n1_i) u))) (sin.f32 normAngle))
	99.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (.f32 #s(literal 3 binary32) n0_i)) u (.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
▶	99.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
▶	99.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
	99.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
▶	98.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
	84.9%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u n0_i))
	84.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
	98.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
▶	39.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
	33.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/.f32 (.f32 (.f32 normAngle n1_i) u) (sin.f32 normAngle))))
	99.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) n0_i) u (.f32 #s(literal 1/6 binary32) (.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle)))))
▶	98.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
	98.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)) n1_i) u)))
	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (fma.f32 #s(literal -1 binary32) (+.f32 n1_i (/.f32 n0_i u)) n0_i))))
	58.0%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (.f32 (fma.f32 (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))) #s(literal -1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u)) (.f32 normAngle normAngle))) (.f32 normAngle normAngle))))

Compiler

Compiled 1 778 to 1 024 computations (42.4% saved)

simplify184.0ms (1.7%)

Memory

-22.2MiB live, 215.1MiB allocated; 41ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 20 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f32 normAngle u)
cost-diff	0	(sin.f32 (*.f32 normAngle u))
cost-diff	0	(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
cost-diff	0	(fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
cost-diff	1	(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
cost-diff	2	(fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32)))
cost-diff	0	(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)
cost-diff	0	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
cost-diff	2	(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)
cost-diff	0	(-.f32 n1_i n0_i)
cost-diff	0	#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
cost-diff	0	(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
cost-diff	0	(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
cost-diff	3	(-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
cost-diff	7	(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	924
0	129	926
1	255	898
2	650	867
3	2257	767
4	6566	759
0	8506	741

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
#s(literal 1/2 binary32)
n0_i
(fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
#s(literal -1/6 binary32)
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))
n1_i
(/.f32 u n0_i)
u
n0_i
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
#s(literal -1/6 binary32)
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
(.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
(-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i)
(fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32)))
#s(literal -3 binary32)
n0_i
(.f32 (.f32 n0_i u) #s(literal 3 binary32))
(*.f32 n0_i u)
u
#s(literal 3 binary32)
n1_i
(neg.f32 n0_i)
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n1_i u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)

Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i))
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 normAngle normAngle) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))
#s(literal 1/2 binary32)
n0_i
(fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (.f32 normAngle normAngle) (-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32))) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
(-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
(-.f32 (.f32 n0_i #s(literal 1/24 binary32)) (.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32)))
(*.f32 #s(literal -1/24 binary32) n0_i)
#s(literal -1/24 binary32)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal -7/360 binary32)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(fma.f32 #s(literal 1/2 binary32) n0_i (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
n1_i
#s(literal -1/6 binary32)
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))
#s(literal 1/120 binary32)
(*.f32 normAngle normAngle)
normAngle
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)
(-.f32 (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)) u)
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))
(fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32))
n1_i
(/.f32 u n0_i)
u
n0_i
#s(literal 1 binary32)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (fma.f32 (.f32 #s(literal 3 binary32) n0_i) u (.f32 n0_i #s(literal -2 binary32))) n1_i) u)) (fma.f32 n1_i u (.f32 n0_i (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
(fma.f32 (.f32 (.f32 normAngle normAngle) #s(literal -1/6 binary32)) #s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (fma.f32 (.f32 #s(literal 3 binary32) n0_i) u (.f32 n0_i #s(literal -2 binary32))) n1_i) u)) (fma.f32 n1_i u (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
(.f32 #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (fma.f32 (.f32 #s(literal 3 binary32) n0_i) u (*.f32 n0_i #s(literal -2 binary32))) n1_i) u)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (fma.f32 (.f32 #s(literal 3 binary32) n0_i) u (*.f32 n0_i #s(literal -2 binary32))) n1_i) u))
(.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)
(.f32 (-.f32 (fma.f32 (.f32 #s(literal 3 binary32) n0_i) u (*.f32 n0_i #s(literal -2 binary32))) n1_i) u)
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
(-.f32 (fma.f32 (.f32 #s(literal 3 binary32) n0_i) u (.f32 n0_i #s(literal -2 binary32))) n1_i)
(-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i)
(-.f32 (*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i) n1_i)
(fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32)))
(*.f32 (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32)) n0_i)
#s(literal -3 binary32)
n0_i
(.f32 (.f32 n0_i u) #s(literal 3 binary32))
(*.f32 n0_i u)
u
#s(literal 3 binary32)
n1_i
(neg.f32 n0_i)
(*.f32 normAngle normAngle)
normAngle
(fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(-.f32 #s(literal 1 binary32) u)
#s(literal 1 binary32)
(*.f32 n1_i u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u))))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(.f32 (/.f32 n1_i (sin.f32 normAngle)) (sin.f32 (.f32 normAngle u)))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
normAngle
u
(/.f32 n1_i (sin.f32 normAngle))
n1_i
(sin.f32 normAngle)

localize326.0ms (2.9%)

Memory

35.8MiB live, 555.0MiB allocated; 98ms collecting garbage

Localize:

Found 20 expressions of interest:

New	Metric	Score
accuracy	0.0	(sin.f32 normAngle)
accuracy	0.03515625	(/.f32 n1_i (sin.f32 normAngle))
accuracy	1.36964983183308	(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
accuracy	18.69943592538574	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
accuracy	0.2734375	(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
accuracy	0.34765625	(.f32 (.f32 n0_i u) #s(literal 3 binary32))
accuracy	0.37109375	(.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
accuracy	3.8656736614685316	#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
accuracy	0.07421875	(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)
accuracy	0.140625	(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))
accuracy	0.1875	(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)
accuracy	0.36016995886987196	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
accuracy	0.0	(-.f32 n1_i n0_i)
accuracy	0.037441259768442016	(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
accuracy	0.07314356891746941	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
accuracy	0.8233141738619681	#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
accuracy	0.32421875	(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
accuracy	0.38812265629507237	(-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
accuracy	0.4293937988422101	(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
accuracy	0.63671875	(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))

Samples

250.0ms	251×	0	valid
5.0ms	2×	5	exit
3.0ms	3×	1	valid

Compiler

Compiled 659 to 79 computations (88% saved)

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-mult: 121.0ms (51.7% of total)

ival-neg: 29.0ms (12.4% of total)

ival-sin: 24.0ms (10.3% of total)

ival-add: 15.0ms (6.4% of total)

const: 12.0ms (5.1% of total)

ival-div: 11.0ms (4.7% of total)

ival-sub: 11.0ms (4.7% of total)

ival-pow: 5.0ms (2.1% of total)

adjust: 3.0ms (1.3% of total)

ival-cos: 2.0ms (0.9% of total)

exact: 1.0ms (0.4% of total)

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

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

series85.0ms (0.8%)

Memory

2.8MiB live, 137.3MiB allocated; 17ms collecting garbage

Counts

28 → 240

Calls

Call 1

Inputs
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)
(fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32)))
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
(.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
(.f32 (.f32 n0_i u) #s(literal 3 binary32))
(/.f32 n1_i (sin.f32 normAngle))
(sin.f32 normAngle)

Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i 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)))))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(/ n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
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))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(sin (* normAngle u))
(/ n1_i (sin normAngle))
(sin normAngle)
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
1
(+ 1 (* u (- (/ n1_i n0_i) 1)))
(* -3 n0_i)
(+ (* -3 n0_i) (* 3 (* n0_i u)))
(- (+ n0_i (* -3 n0_i)) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(/ (* 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))))
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(+ 1 (/ (* n1_i u) n0_i))
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i))))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* 3 (* n0_i u))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* n0_i (* u (- (/ n1_i n0_i) 1)))
(* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u)))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (- (/ n1_i n0_i) 1))
(* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1))
(* u (+ (* -3 (/ n0_i u)) (* 3 n0_i)))
(* u (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)))
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2)))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(/ (* n1_i u) n0_i)
(* u (+ (/ 1 u) (/ n1_i n0_i)))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))
(* -1 (* u (+ (* -3 n0_i) (* 3 (/ n0_i u)))))
(* -1 (* u (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u)))))
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* u (- (* -1 (/ n1_i n0_i)) (/ 1 u))))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u))))))
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(+ (* -1/36 n1_i) (* 1/120 n1_i))
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
n1_i
(+ n1_i (* -1 n0_i))
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i)
(* n0_i (- (* 3 u) 3))
(* -1 n1_i)
(- (* n0_i (- (* 3 u) 2)) n1_i)
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(/ (+ n0_i (* n1_i u)) n0_i)
(- (* n1_i (pow u 3)) (* n1_i u))
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u))
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))
(* -23/360 n0_i)
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(- 1 u)
(- (+ 1 (/ (* n1_i u) n0_i)) u)
(* n0_i (- (* 3 u) 2))
(* n0_i (- (+ (* -1 (/ n1_i n0_i)) (* 3 u)) 2))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* -1/120 n0_i)
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i))))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 3 (* -3 u))))
(* -1 (* n0_i (+ 2 (* -3 u))))
(* -1 (* n0_i (+ 2 (+ (* -3 u) (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u)))))
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (+ (* -7/360 n1_i) (* -1/120 n0_i)))
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u))))
(+ n0_i (+ (* -3 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u)))))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u)))
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))))
(* -7/360 n1_i)
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360))
(* 7/360 n1_i)
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (* 3 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))) 1))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ (/ 1 n1_i) (/ u n0_i)))
(* n1_i (- (pow u 3) u))
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i))))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))
(* -1 (* n1_i (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) n1_i)))))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1 (/ u n0_i)) (/ 1 n1_i))))
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u))))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))

Calls

12 calls:

Time	Variable		Point	Expression
17.0ms	n1_i	@	0	((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* -3 n0_i) (* (* n0_i u) 3)) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (* n0_i u) 3) (/ n1_i (sin normAngle)) (sin normAngle))
10.0ms	n1_i	@	inf	((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* -3 n0_i) (* (* n0_i u) 3)) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (* n0_i u) 3) (/ n1_i (sin normAngle)) (sin normAngle))
7.0ms	normAngle	@	inf	((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* -3 n0_i) (* (* n0_i u) 3)) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (* n0_i u) 3) (/ n1_i (sin normAngle)) (sin normAngle))
6.0ms	n0_i	@	0	((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* -3 n0_i) (* (* n0_i u) 3)) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (* n0_i u) 3) (/ n1_i (sin normAngle)) (sin normAngle))
6.0ms	n1_i	@	-inf	((+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120)) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- n1_i n0_i) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (- (+ (* n1_i (/ u n0_i)) 1) u) (+ (* -3 n0_i) (* (* n0_i u) 3)) (- (- (+ (* -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (sin (* normAngle u)) (* normAngle u) (* (- n1_i n0_i) 1/120) (* 1/6 (- n1_i n0_i)) (+ (* n1_i (/ u n0_i)) 1) (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* (* n0_i u) 3) (/ n1_i (sin normAngle)) (sin normAngle))

simplify252.0ms (2.3%)

Memory

-9.5MiB live, 289.9MiB allocated; 135ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	977	4560
1	3513	4347
0	8290	4107

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 237

Calls

Call 1

Inputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(+ (* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u))))) (+ (* n0_i (- 1 u)) (* n1_i 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)))))
(* normAngle u)
(* normAngle (+ u (* -1/6 (* (pow normAngle 2) (pow u 3)))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* 1/120 (* (pow normAngle 2) (pow u 5)))))))
(* normAngle (+ u (* (pow normAngle 2) (+ (* -1/6 (pow u 3)) (* (pow normAngle 2) (+ (* -1/5040 (* (pow normAngle 2) (pow u 7))) (* 1/120 (pow u 5))))))))
(/ n1_i normAngle)
(/ (+ n1_i (* 1/6 (* n1_i (pow normAngle 2)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
(/ (+ n1_i (* (pow normAngle 2) (- (* (pow normAngle 2) (- (* -1 (* (pow normAngle 2) (+ (* -1/5040 n1_i) (+ (* 1/720 n1_i) (* 1/6 (+ (* -1/36 n1_i) (* 1/120 n1_i))))))) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* -1/6 n1_i)))) normAngle)
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))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* -1/6 (* (pow normAngle 2) (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))))
(* (pow normAngle 2) (+ (* -1/6 (- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (pow u 3))) (+ (* n0_i (- 1 u)) (* n1_i u)))) (+ (/ (* n0_i (- 1 u)) (pow normAngle 2)) (/ (* n1_i u) (pow normAngle 2)))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(sin (* normAngle u))
(/ n1_i (sin normAngle))
(sin normAngle)
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1))))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
1
(+ 1 (* u (- (/ n1_i n0_i) 1)))
(* -3 n0_i)
(+ (* -3 n0_i) (* 3 (* n0_i u)))
(- (+ n0_i (* -3 n0_i)) n1_i)
(- (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))))))
(+ n0_i (* u (+ n1_i (+ (* -1 n0_i) (+ (* -1/6 (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))) (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* -1/6 (* (pow normAngle 2) (* u (+ n1_i (* -1 n0_i))))))))))))
(/ (* 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))))
(* u (+ normAngle (* -1/6 (* (pow normAngle 3) (pow u 2)))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* 1/120 (* (pow normAngle 5) (pow u 2)))))))
(* u (+ normAngle (* (pow u 2) (+ (* -1/6 (pow normAngle 3)) (* (pow u 2) (+ (* -1/5040 (* (pow normAngle 7) (pow u 2))) (* 1/120 (pow normAngle 5))))))))
(+ 1 (/ (* n1_i u) n0_i))
(* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* 3 (* n0_i u))) (+ n1_i (* -1 n0_i))))
(* u (- (+ (* -3 n0_i) (* u (+ (* 3 n0_i) (* u (+ n1_i (* -1 n0_i)))))) (+ n1_i (* -1 n0_i))))
(* -1/6 (* u (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))))
(* u (+ (* -1/2 (* n0_i u)) (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i))))))
(* u (+ (* -1/6 (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (* u (+ (* -1/2 n0_i) (* -1/6 (* u (+ n1_i (* -1 n0_i))))))))
(* 3 (* n0_i u))
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* n0_i (* u (- (/ n1_i n0_i) 1)))
(* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u)))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* u (- (/ n1_i n0_i) 1))
(* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1))
(* u (+ (* -3 (/ n0_i u)) (* 3 n0_i)))
(* u (- (+ (* -3 (/ n0_i u)) (+ (* 3 n0_i) (/ n0_i u))) (/ n1_i u)))
(* -1/6 (* (pow normAngle 2) (* (pow u 3) (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (/ n1_i (pow u 2)))))))
(* (pow u 3) (+ (* -1 (/ n0_i (pow u 2))) (+ (* -1/2 (/ (* n0_i (pow normAngle 2)) u)) (+ (* -1/6 (* (pow normAngle 2) (+ n1_i (* -1 n0_i)))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* -3 n0_i) (+ n1_i (* -1 n0_i)))) (pow u 2))) (+ (/ n0_i (pow u 3)) (/ n1_i (pow u 2))))))))
(/ (* n1_i u) n0_i)
(* u (+ (/ 1 u) (/ n1_i n0_i)))
(* (pow u 3) (+ n1_i (* -1 n0_i)))
(* (pow u 3) (+ n1_i (+ (* -1 n0_i) (* 3 (/ n0_i u)))))
(* (pow u 3) (- (+ n1_i (+ (* -3 (/ n0_i (pow u 2))) (+ (* -1 n0_i) (* 3 (/ n0_i u))))) (+ (* -1 (/ n0_i (pow u 2))) (/ n1_i (pow u 2)))))
(* -1/6 (* (pow u 3) (+ n1_i (* -1 n0_i))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (* -1/6 (+ n1_i (* -1 n0_i)))))
(* (pow u 3) (+ (* -1/2 (/ n0_i u)) (+ (* -1/6 (+ n1_i (* -1 n0_i))) (* -1/6 (/ (- (* -3 n0_i) (+ n1_i (* -1 n0_i))) (pow u 2))))))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* u (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))
(* -1 (* u (+ (* -3 n0_i) (* 3 (/ n0_i u)))))
(* -1 (* u (+ (* -3 n0_i) (* -1 (/ (- (+ n0_i (* -3 n0_i)) n1_i) u)))))
(* 1/6 (* (pow normAngle 2) (* (pow u 3) (+ n0_i (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))) (* 1/2 (/ (* n0_i (pow normAngle 2)) u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1 (/ (+ n0_i (+ (* -1 n1_i) (+ (* -1 (/ n0_i u)) (* -1/6 (* (pow normAngle 2) (- (* 3 n0_i) (+ n0_i (* -1 n1_i)))))))) u)) (* -1/2 (* n0_i (pow normAngle 2)))) u)) (* -1/6 (* (pow normAngle 2) (+ n0_i (* -1 n1_i)))))))
(* -1 (* u (- (* -1 (/ n1_i n0_i)) (/ 1 u))))
(* -1 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -3 (/ n0_i u)) (* -1 n1_i)))))
(* -1 (* (pow u 3) (+ n0_i (+ (* -1 n1_i) (* -1 (/ (+ (* -1 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u)) (* 3 n0_i)) u))))))
(* 1/6 (* (pow u 3) (+ n0_i (* -1 n1_i))))
(* -1 (* (pow u 3) (+ (* -1/6 (+ n0_i (* -1 n1_i))) (* 1/2 (/ n0_i u)))))
(* -1 (* (pow u 3) (+ (* -1 (/ (+ (* -1/2 n0_i) (* 1/6 (/ (- (* 3 n0_i) (+ n0_i (* -1 n1_i))) u))) u)) (* -1/6 (+ n0_i (* -1 n1_i))))))
(+ (* -1/36 n1_i) (* 1/120 n1_i))
(+ (* -23/360 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
n1_i
(+ n1_i (* -1 n0_i))
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i)
(* n0_i (- (* 3 u) 3))
(* -1 n1_i)
(- (* n0_i (- (* 3 u) 2)) n1_i)
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u))
(+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (+ (* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u)) (* n1_i u)))
(* 1/120 n1_i)
(+ (* -1/120 n0_i) (* 1/120 n1_i))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(/ (+ n0_i (* n1_i u)) n0_i)
(- (* n1_i (pow u 3)) (* n1_i u))
(- (+ (* n0_i (- (+ u (pow (- 1 u) 3)) 1)) (* n1_i (pow u 3))) (* n1_i u))
(* -1/6 (- (* n1_i (pow u 3)) (* n1_i u)))
(+ (* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1))) (* -1/6 (- (* n1_i (pow u 3)) (* n1_i u))))
(* -23/360 n0_i)
(* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 23/360))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* -1 n0_i)
(* n0_i (- (/ n1_i n0_i) 1))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(- 1 u)
(- (+ 1 (/ (* n1_i u) n0_i)) u)
(* n0_i (- (* 3 u) 2))
(* n0_i (- (+ (* -1 (/ n1_i n0_i)) (* 3 u)) 2))
(* n0_i (- (+ 1 (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1)))) u))
(* n0_i (- (+ 1 (+ (* -1/6 (* (pow normAngle 2) (- (+ u (pow (- 1 u) 3)) 1))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u))) n0_i)) (/ (* n1_i u) n0_i)))) u))
(* -1/120 n0_i)
(* n0_i (- (* 1/120 (/ n1_i n0_i)) 1/120))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* n0_i (- (+ u (pow (- 1 u) 3)) 1))
(* n0_i (- (+ u (+ (/ (* n1_i (pow u 3)) n0_i) (pow (- 1 u) 3))) (+ 1 (/ (* n1_i u) n0_i))))
(* -1/6 (* n0_i (- (+ u (pow (- 1 u) 3)) 1)))
(* n0_i (+ (* -1/6 (- (+ u (pow (- 1 u) 3)) 1)) (* -1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i))))
(* -1 (* n0_i (+ 23/360 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i)))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (+ 3 (* -3 u))))
(* -1 (* n0_i (+ 2 (* -3 u))))
(* -1 (* n0_i (+ 2 (+ (* -3 u) (/ n1_i n0_i)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u))))))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n1_i (pow u 3)) (* n1_i u)))) (* n1_i u)) n0_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))))))
(* -1 (* n0_i (+ 1/120 (* -1/120 (/ n1_i n0_i)))))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (- (+ (* -1 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)) (* -1 (pow (- 1 u) 3))) (* -1 (- 1 u)))))
(* 1/6 (* n0_i (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))))
(* -1 (* n0_i (+ (* -1/6 (- (* -1 (pow (- 1 u) 3)) (* -1 (- 1 u)))) (* 1/6 (/ (- (* n1_i (pow u 3)) (* n1_i u)) n0_i)))))
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))
(+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (+ (* -7/360 n1_i) (* -1/120 n0_i)))
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u))))
(+ n0_i (+ (* -3 n0_i) (+ (* -1 n1_i) (* 3 (* n0_i u)))))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u)))
(+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (+ (* n0_i (- 1 u)) (* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))))
(- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))
(- (+ (* n0_i (pow (- 1 u) 3)) (* n1_i (- (pow u 3) u))) (* n0_i (- 1 u)))
(* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))
(+ (* -1/6 (* n1_i (- (pow u 3) u))) (* -1/6 (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))))
(* -7/360 n1_i)
(* n1_i (- (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i))) 7/360))
(* 7/360 n1_i)
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* -1 (/ n0_i n1_i))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(* n1_i (- (+ (* -3 (/ n0_i n1_i)) (+ (* 3 (/ (* n0_i u) n1_i)) (/ n0_i n1_i))) 1))
(* n1_i (+ u (* -1/6 (* (pow normAngle 2) (- (pow u 3) u)))))
(* n1_i (+ u (+ (* -1/6 (* (pow normAngle 2) (- (pow u 3) u))) (+ (* -1/6 (/ (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u)))) n1_i)) (/ (* n0_i (- 1 u)) n1_i)))))
(* n1_i (+ 1/120 (* -1/120 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ (/ 1 n1_i) (/ u n0_i)))
(* n1_i (- (pow u 3) u))
(* n1_i (- (+ (/ (* n0_i (pow (- 1 u) 3)) n1_i) (pow u 3)) (+ u (/ (* n0_i (- 1 u)) n1_i))))
(* -1/6 (* n1_i (- (pow u 3) u)))
(* n1_i (+ (* -1/6 (- (pow u 3) u)) (* -1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i))))
(* -1 (* n1_i (+ 7/360 (* -1 (/ (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)) n1_i)))))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (/ n0_i n1_i) 1)))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(* -1 (* n1_i (+ 1 (* -1 (/ (+ n0_i (+ (* -3 n0_i) (* 3 (* n0_i u)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u)))))))
(* -1 (* n1_i (+ (* -1 u) (+ (* -1 (/ (+ (* -1/6 (* (pow normAngle 2) (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))))) (* n0_i (- 1 u))) n1_i)) (* -1/6 (* (pow normAngle 2) (- (* -1 (pow u 3)) (* -1 u))))))))
(* -1 (* n1_i (- (* 1/120 (/ n0_i n1_i)) 1/120)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -1 (/ u n0_i)) (/ 1 n1_i))))
(* -1 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)) (* -1 (pow u 3))) (* -1 u))))
(* 1/6 (* n1_i (- (* -1 (pow u 3)) (* -1 u))))
(* -1 (* n1_i (+ (* -1/6 (- (* -1 (pow u 3)) (* -1 u))) (* 1/6 (/ (- (* n0_i (pow (- 1 u) 3)) (* n0_i (- 1 u))) n1_i)))))

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

rewrite267.0ms (2.4%)

Memory

-11.3MiB live, 317.4MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	83	645
0	129	645
1	521	619
2	4328	619
0	8187	604

Stop Event

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

Counts

28 → 263

Calls

Call 1

Inputs
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))
(-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
(*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i))
(-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u)
(fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32)))
(-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
(fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle)))
(sin.f32 (*.f32 normAngle u))
(*.f32 normAngle u)
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32))
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))
(.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (*.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u)))
(.f32 (.f32 n0_i u) #s(literal 3 binary32))
(/.f32 n1_i (sin.f32 normAngle))
(sin.f32 normAngle)

Outputs
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (pow.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32))) (-.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32))) (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (neg.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 3 binary32)) #s(literal -1/216 binary32) (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32)))) (neg.f32 (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))))
(/.f32 (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i))))
(/.f32 (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 3 binary32)) #s(literal -1/216 binary32) (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32))) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (.f32 (.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 1/120 binary32)) (-.f32 n1_i n0_i)))))
(/.f32 (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 3 binary32)) #s(literal -1/216 binary32) (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32))) (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))))))
(-.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))) (/.f32 (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))))
(-.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal -1/120 binary32) (-.f32 n1_i n0_i)))
(-.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))
(-.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(-.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (.f32 (neg.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal -1/6 binary32)))
(fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32)))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32)))
(fma.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal -1/6 binary32) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(+.f32 (/.f32 (pow.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) #s(literal 3 binary32)) (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))) (/.f32 (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32)) (fma.f32 (pow.f32 (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) #s(literal 2 binary32)) #s(literal 1/36 binary32) (.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (-.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))))))
(+.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 (neg.f32 (neg.f32 (-.f32 n1_i n0_i))) #s(literal 1/120 binary32)))
(+.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(+.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 2 binary32))) (+.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))
(/.f32 (-.f32 (pow.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)) #s(literal 3 binary32))) (+.f32 (pow.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) #s(literal 2 binary32)) (fma.f32 #s(literal 1/14400 binary32) (pow.f32 (-.f32 n1_i n0_i) #s(literal 2 binary32)) (.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal 1/576 binary32) (.f32 n0_i n0_i)) (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 2 binary32)))) (neg.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))
(/.f32 (neg.f32 (-.f32 (.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32)))) (neg.f32 (fma.f32 #s(literal 1/576 binary32) (.f32 n0_i n0_i) (.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))))
(/.f32 (-.f32 (.f32 #s(literal 1/576 binary32) (.f32 n0_i n0_i)) (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 2 binary32))) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))
(/.f32 (-.f32 (.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32))) (fma.f32 #s(literal 1/576 binary32) (.f32 n0_i n0_i) (.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))))
(-.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) (.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))))
(-.f32 (/.f32 (.f32 #s(literal 1/576 binary32) (.f32 n0_i n0_i)) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (/.f32 (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 2 binary32)) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))
(-.f32 (/.f32 (.f32 #s(literal -1/13824 binary32) (pow.f32 n0_i #s(literal 3 binary32))) (fma.f32 #s(literal 1/576 binary32) (.f32 n0_i n0_i) (.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))) (/.f32 (pow.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) #s(literal 3 binary32)) (fma.f32 #s(literal 1/576 binary32) (.f32 n0_i n0_i) (.f32 (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))) (fma.f32 #s(literal -1/24 binary32) n0_i (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))))
(-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (.f32 #s(literal 1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))
(-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/6 binary32) (fma.f32 n0_i #s(literal 1/2 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))
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(+.f32 (*.f32 (/.f32 u n0_i) n1_i) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 u n0_i) n1_i))
#s(approx (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (.f32 n0_i (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32))) n1_i) (neg.f32 n0_i)) u))
(.f32 #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (.f32 n0_i (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32))) n1_i) (neg.f32 n0_i)) u)) #s(literal -1/6 binary32))
(.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (.f32 n0_i (fma.f32 #s(literal 3 binary32) u #s(literal -3 binary32))) n1_i) (neg.f32 n0_i)) u)))
(.f32 (.f32 #s(literal 3 binary32) n0_i) u)
(.f32 (.f32 #s(literal 3 binary32) u) n0_i)
(.f32 #s(literal 3 binary32) (.f32 u n0_i))
(.f32 (.f32 u n0_i) #s(literal 3 binary32))
(.f32 u (.f32 n0_i #s(literal 3 binary32)))
(.f32 n0_i (.f32 #s(literal 3 binary32) u))
(/.f32 (neg.f32 (neg.f32 n1_i)) (sin.f32 (neg.f32 (neg.f32 normAngle))))
(/.f32 (neg.f32 n1_i) (sin.f32 (neg.f32 normAngle)))
(/.f32 n1_i (sin.f32 normAngle))
(neg.f32 (/.f32 (neg.f32 n1_i) (sin.f32 normAngle)))
(neg.f32 (/.f32 n1_i (sin.f32 (neg.f32 normAngle))))
(sin.f32 normAngle)

eval120.0ms (1.1%)

Memory: 18.5MiB live, 150.9MiB allocated; 17ms collecting garbage
Compiler: Compiled 43 007 to 3 732 computations (91.3% saved)

prune55.0ms (0.5%)

Memory

22.1MiB live, 77.9MiB allocated; 11ms collecting garbage

Pruning

22 alts after pruning (20 fresh and 2 done)

	Pruned	Kept	Total
New	522	18	540
Fresh	9	2	11
Picked	3	2	5
Done	0	0	0
Total	534	22	556

Accuracy

100.0%

Counts

556 → 22

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (.f32 #s(literal 3 binary32) n0_i)) u (.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
	98.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 #s(approx (- (- (+ ( -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (.f32 (fma.f32 #s(literal -3 binary32) u #s(literal 2 binary32)) (neg.f32 n0_i))) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 #s(approx (- (- (+ ( -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 n1_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))
	90.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))) u n0_i))
▶	99.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
	99.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
✓	98.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
	98.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i))) u n0_i))
	57.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
	98.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
▶	98.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
	39.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))))
	39.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))))
	39.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 #s(approx (sin ( normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
✓	98.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
▶	98.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
	98.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)) u)))
	57.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))
	38.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u)) n0_i)))
	47.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)))
▶	98.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
▶	40.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))

Compiler

Compiled 2 338 to 1 378 computations (41.1% saved)

simplify217.0ms (2%)

Memory

-35.6MiB live, 389.7MiB allocated; 78ms collecting garbage

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	#s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))
cost-diff	0	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
cost-diff	2	(*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)
cost-diff	0	(-.f32 #s(approx (+ (* n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u)
cost-diff	0	(.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)
cost-diff	0	#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
cost-diff	0	#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
cost-diff	0	(.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u)
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
cost-diff	1	(+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i)
cost-diff	0	(*.f32 u n1_i)
cost-diff	0	#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i))
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))
cost-diff	0	(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)
cost-diff	0	#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i))
cost-diff	0	(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
cost-diff	0	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	874
0	110	874
1	210	846
2	483	801
3	1546	718
4	4797	714
0	8102	688

Stop Event

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

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
#s(literal 1/2 binary32)
n0_i
(fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
#s(literal 7/360 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i))
(*.f32 u n1_i)
u
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
(+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i)
(.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i))
(.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)
(-.f32 #s(approx (+ (* n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u)
#s(approx (+ (* n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i))
(/.f32 (fma.f32 u n1_i n0_i) n0_i)
(fma.f32 u n1_i n0_i)
u
n1_i
n0_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)))
#s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))
(*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)
(fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u))
(-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))
(/.f32 n1_i n0_i)
n1_i
n0_i
#s(literal 1 binary32)
(/.f32 n0_i u)
u

Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(approx (- ( -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(approx (- ( -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i))
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(approx (- ( -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i)))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(approx (- ( -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i)
(fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(approx (- ( -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) n1_i)
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(fma.f32 (.f32 normAngle normAngle) #s(approx (- ( -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)))
#s(literal 1/2 binary32)
n0_i
(fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))
(fma.f32 (.f32 normAngle normAngle) #s(approx (- ( -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
#s(literal 7/360 binary32)
n1_i
(*.f32 normAngle normAngle)
normAngle
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(-.f32 n1_i n0_i)
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u)))
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i))
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 n1_i u))
(*.f32 u n1_i)
(*.f32 n1_i u)
u
n1_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i)
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i)
(.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
(-.f32 n1_i n0_i)
n1_i
n0_i
u
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32))) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32))) u) n0_i))
(.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)
(.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32))) u) n0_i)
(-.f32 #s(approx (+ (* n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u)
(-.f32 #s(approx (+ (* n1_i (/ u n0_i)) 1) (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32))) u)
#s(approx (+ (* n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i))
#s(approx (+ (* n1_i (/ u n0_i)) 1) (fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32)))
(/.f32 (fma.f32 u n1_i n0_i) n0_i)
(fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32))
(fma.f32 u n1_i n0_i)
(fma.f32 n1_i u n0_i)
u
n1_i
n0_i
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u #s(literal 1 binary32))))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u #s(literal 1 binary32)))))
#s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 n0_i (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u #s(literal 1 binary32))))
(*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)
(*.f32 n0_i (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u #s(literal 1 binary32)))
(fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u))
(-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))
(/.f32 n1_i n0_i)
n1_i
n0_i
#s(literal 1 binary32)
(/.f32 n0_i u)
u

localize251.0ms (2.3%)

Memory

5.3MiB live, 583.0MiB allocated; 51ms collecting garbage

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0.021816259768442016	(-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))
accuracy	0.17578125	(*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)
accuracy	0.23819249970117154	(fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u))
accuracy	0.36016995886987196	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
accuracy	0.07421875	(-.f32 #s(approx (+ (* n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u)
accuracy	0.16015625	(/.f32 (fma.f32 u n1_i n0_i) n0_i)
accuracy	0.1875	(.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)
accuracy	0.36016995886987196	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
accuracy	0.07314356891746941	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
accuracy	0.07650375976844201	(+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i)
accuracy	0.08203125	(.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u)
accuracy	0.8233141738619681	#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
accuracy	0.0	(*.f32 u n1_i)
accuracy	0.5899482136337102	#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i))
accuracy	18.69943592538574	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))
accuracy	0.25390625	(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
accuracy	0.32421875	(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
accuracy	0.37890625	(*.f32 #s(literal 7/360 binary32) n1_i)
accuracy	15.795313281465111	#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))

Samples

146.0ms	251×	0	valid
32.0ms	2×	5	exit
6.0ms	3×	1	valid

Compiler

Compiled 524 to 71 computations (86.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 154.0ms

const: 43.0ms (27.9% of total)

ival-mult: 41.0ms (26.6% of total)

ival-div: 29.0ms (18.8% of total)

ival-add: 15.0ms (9.7% of total)

ival-sub: 11.0ms (7.1% of total)

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

adjust: 3.0ms (1.9% of total)

ival-cos: 3.0ms (1.9% of total)

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

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

exact: 0.0ms (0% of total)

series65.0ms (0.6%)

Memory

33.8MiB live, 125.3MiB allocated; 7ms collecting garbage

Counts

26 → 182

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i))
(*.f32 u n1_i)
(+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
(.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i))
(.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)
(-.f32 #s(approx (+ (* n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u)
(*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)))
#s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(/.f32 (fma.f32 u n1_i n0_i) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u))
(-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))

Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)
(* 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)))))
(* u (- n1_i n0_i))
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))
(+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))
(+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4))))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1))))
1
(+ 1 (* u (- (/ n1_i n0_i) 1)))
(+ 1 (/ (* n1_i u) n0_i))
(/ n0_i u)
(/ (+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1)))) u)
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* n0_i (* u (- (/ n1_i n0_i) 1)))
(* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u)))
(* u (- (/ n1_i n0_i) 1))
(* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1))
(/ (* n1_i u) n0_i)
(* u (+ (/ 1 u) (/ n1_i n0_i)))
(* n0_i (- (/ n1_i n0_i) 1))
(+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))))
(* -1 (* u (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))
(* -1 (* u (+ (* -1 (* n0_i (- (/ n1_i n0_i) 1))) (* -1 (/ n0_i u)))))
(* -1 (* u (- (* -1 (/ n1_i n0_i)) (/ 1 u))))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i)
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))))
(/ (+ n0_i (* n1_i u)) n0_i)
n1_i
(+ n1_i (* n0_i (- (/ 1 u) 1)))
(/ n1_i n0_i)
(/ (+ n1_i (* -1 n0_i)) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))) n0_i))) 1))
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(- 1 u)
(- (+ 1 (/ (* n1_i u) n0_i)) u)
(* n0_i (* u (- (/ 1 u) 1)))
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i)))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i))))))
(* n0_i (- (/ 1 u) 1))
(* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1))
-1
(- (/ n1_i n0_i) 1)
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) n0_i)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u))))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/45 (pow normAngle 2)) 1/3)))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3)))
(* -1 (* n0_i (- 1 (/ 1 u))))
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))) n0_i)
(* u (+ (* -1 n0_i) (/ n0_i u)))
(+ (* n1_i u) (* u (+ (* -1 n0_i) (/ n0_i u))))
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(* 7/360 n1_i)
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))
(+ (* -1 n0_i) (/ n0_i u))
(+ n1_i (+ (* -1 n0_i) (/ n0_i u)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(* n1_i (+ u (/ (* u (+ (* -1 n0_i) (/ n0_i u))) n1_i)))
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i))))))
(* n1_i (+ (/ 1 n1_i) (/ u n0_i)))
(* n1_i (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u)))))
(* n1_i (- (/ 1 n0_i) (/ 1 n1_i)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (+ (* -1 n0_i) (/ n0_i u))) n1_i)))))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -1 (* n1_i (- (* -1 (/ u n0_i)) (/ 1 n1_i))))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1 n0_i) (/ n0_i u)) n1_i)) 1)))
(* -1 (* n1_i (- (/ 1 n1_i) (/ 1 n0_i))))

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	n0_i	@	-inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* u n1_i) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (* (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (/ (+ (* u n1_i) n0_i) n0_i) (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) (- (/ n1_i n0_i) 1))
6.0ms	n1_i	@	-inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* u n1_i) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (* (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (/ (+ (* u n1_i) n0_i) n0_i) (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) (- (/ n1_i n0_i) 1))
6.0ms	u	@	inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* u n1_i) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (* (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (/ (+ (* u n1_i) n0_i) n0_i) (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) (- (/ n1_i n0_i) 1))
6.0ms	n1_i	@	inf	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* u n1_i) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (* (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (/ (+ (* u n1_i) n0_i) n0_i) (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) (- (/ n1_i n0_i) 1))
6.0ms	n1_i	@	0	((+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (* u n1_i) (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (+ (* n1_i (/ u n0_i)) 1) u) (* (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) u) (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+ (* (- 1 u) n0_i) (* n1_i u)) (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* 7/360 n1_i) (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (/ (+ (* u n1_i) n0_i) n0_i) (+ (* (- (/ n1_i n0_i) 1) n0_i) (/ n0_i u)) (- (/ n1_i n0_i) 1))

simplify208.0ms (1.9%)

Memory

-5.1MiB live, 274.8MiB allocated; 54ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	713	3821
1	2454	3537
0	8875	3286

Stop Event

1×	iter limit
1×	node limit

Counts

182 → 180

Calls

Call 1

Inputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(+ n0_i (* u (- n1_i n0_i)))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(- n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)
(* 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)))))
(* u (- n1_i n0_i))
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))
(+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))
(+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4))))))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* -1/2 (* n0_i (* (pow normAngle 2) u))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(/ (* n1_i (* normAngle u)) (sin normAngle))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/120 (/ (* n1_i (* (pow normAngle 5) (pow u 2))) (sin normAngle))))) (/ (* n1_i normAngle) (sin normAngle))))
(* u (+ (* (pow u 2) (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* (pow u 2) (+ (* -1/5040 (/ (* n1_i (* (pow normAngle 7) (pow u 2))) (sin normAngle))) (* 1/120 (/ (* n1_i (pow normAngle 5)) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1))))
1
(+ 1 (* u (- (/ n1_i n0_i) 1)))
(+ 1 (/ (* n1_i u) n0_i))
(/ n0_i u)
(/ (+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1)))) u)
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (- (+ (/ n0_i u) (/ (* n1_i normAngle) (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
(* u (+ n1_i (* -1 n0_i)))
(* u (+ n1_i (+ (* -1 n0_i) (/ n0_i u))))
(* n0_i (* u (- (/ n1_i n0_i) 1)))
(* u (+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u)))
(* u (- (/ n1_i n0_i) 1))
(* u (- (+ (/ 1 u) (/ n1_i n0_i)) 1))
(/ (* n1_i u) n0_i)
(* u (+ (/ 1 u) (/ n1_i n0_i)))
(* n0_i (- (/ n1_i n0_i) 1))
(+ (* n0_i (- (/ n1_i n0_i) 1)) (/ n0_i u))
(+ (/ (* n0_i (sin (* normAngle (+ 1 (* -1 u))))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* -1 (/ (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle)))) (sin normAngle))))))
(* -1 (* u (+ n0_i (* -1 n1_i))))
(* -1 (* u (+ n0_i (+ (* -1 n1_i) (* -1 (/ n0_i u))))))
(* -1 (* n0_i (* u (+ 1 (* -1 (/ n1_i n0_i))))))
(* -1 (* u (+ (* -1 (/ n0_i u)) (* n0_i (+ 1 (* -1 (/ n1_i n0_i)))))))
(* -1 (* u (+ 1 (* -1 (/ n1_i n0_i)))))
(* -1 (* u (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))
(* -1 (* u (+ (* -1 (* n0_i (- (/ n1_i n0_i) 1))) (* -1 (/ n0_i u)))))
(* -1 (* u (- (* -1 (/ n1_i n0_i)) (/ 1 u))))
(+ (* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (* n1_i normAngle) (sin normAngle))
(+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))
(+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))))
(+ n1_i (+ (* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1)) (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))))
(+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle)))
(/ (+ (* n0_i (- 1 u)) (* n1_i u)) n0_i)
(+ (* n0_i (* u (- (/ 1 u) 1))) (* n1_i u))
(* -1 (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(- (* 1/45 n0_i) (+ (* -1/36 n1_i) (* 1/120 n1_i)))
(* 1/6 n1_i)
(+ (* -1/6 n0_i) (* 1/6 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))
(+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (+ (* 1/6 n1_i) (* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))))
(/ (+ n0_i (* n1_i u)) n0_i)
n1_i
(+ n1_i (* n0_i (- (/ 1 u) 1)))
(/ n1_i n0_i)
(/ (+ n1_i (* -1 n0_i)) n0_i)
(/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle))
(* n0_i (+ (/ (sin (* normAngle (- 1 u))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))
(* n0_i (+ 1 (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* n0_i (+ 1 (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle))))))
(* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (cos normAngle)) (sin normAngle))) (/ (* n1_i normAngle) (* n0_i (sin normAngle)))))
(* n0_i (- (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) 1))
(* n0_i (- (+ (* (pow normAngle 2) (+ 1/3 (* 1/45 (pow normAngle 2)))) (+ (/ n1_i n0_i) (/ (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i))) n0_i))) 1))
(* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))
(* n0_i (+ (* -1 (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))))
(* n0_i (- 1 u))
(* n0_i (- (+ 1 (/ (* n1_i u) n0_i)) u))
(- 1 u)
(- (+ 1 (/ (* n1_i u) n0_i)) u)
(* n0_i (* u (- (/ 1 u) 1)))
(* n0_i (+ (* u (- (/ 1 u) 1)) (/ (* n1_i u) n0_i)))
(* 1/45 n0_i)
(* n0_i (+ 1/45 (* -1 (/ (+ (* -1/36 n1_i) (* 1/120 n1_i)) n0_i))))
(* -1/6 n0_i)
(* n0_i (- (* 1/6 (/ n1_i n0_i)) 1/6))
(* n0_i (+ 1/3 (* 1/45 (pow normAngle 2))))
(* n0_i (+ 1/3 (+ (* -1 (/ (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i))) n0_i)) (+ (* 1/45 (pow normAngle 2)) (* 1/6 (/ n1_i n0_i))))))
(* n0_i (- (/ 1 u) 1))
(* n0_i (- (+ (/ 1 u) (/ n1_i n0_i)) 1))
-1
(- (/ n1_i n0_i) 1)
(* -1 (* n0_i (+ (* -1 (/ (sin (* normAngle (- 1 u))) (sin normAngle))) (* -1 (/ (* n1_i (sin (* normAngle u))) (* n0_i (sin normAngle)))))))
(* -1 (* n0_i (- (/ (* normAngle (* u (cos normAngle))) (sin normAngle)) 1)))
(* -1 (* n0_i (- (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle))) 1)))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i normAngle) (* n0_i (sin normAngle)))) (/ (* normAngle (cos normAngle)) (sin normAngle)))))
(* -1 (* n0_i (+ 1 (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3)))))
(* -1 (* n0_i (+ 1 (+ (* -1 (/ (+ n1_i (* (pow normAngle 2) (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)))) n0_i)) (* (pow normAngle 2) (- (* -1/45 (pow normAngle 2)) 1/3))))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i (* normAngle u)) (* n0_i (sin normAngle)))) (/ (* normAngle (* u (cos normAngle))) (sin normAngle)))))
(* -1 (* n0_i (+ (* -1 (- 1 u)) (* -1 (/ (* n1_i u) n0_i)))))
(* -1 (* n0_i (* u (- 1 (/ 1 u)))))
(* -1 (* n0_i (+ (* -1 (/ (* n1_i u) n0_i)) (* u (- 1 (/ 1 u))))))
(* -1 (* n0_i (- (+ (* -1/36 (/ n1_i n0_i)) (* 1/120 (/ n1_i n0_i))) 1/45)))
(* -1 (* n0_i (+ 1/6 (* -1/6 (/ n1_i n0_i)))))
(* -1 (* n0_i (- (* -1/45 (pow normAngle 2)) 1/3)))
(* -1 (* n0_i (- (+ (* -1 (/ (+ (* -1 (* (pow normAngle 2) (+ (* -1/36 n1_i) (* 1/120 n1_i)))) (* 1/6 n1_i)) n0_i)) (* -1/45 (pow normAngle 2))) 1/3)))
(* -1 (* n0_i (- 1 (/ 1 u))))
(* -1 (* n0_i (- (+ 1 (* -1 (/ n1_i n0_i))) (/ 1 u))))
(+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))))
(+ n0_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle))) (/ (* n1_i (* normAngle u)) (sin normAngle))))
(- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i)
(- (+ (* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))))) (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))) n0_i)
(* u (+ (* -1 n0_i) (/ n0_i u)))
(+ (* n1_i u) (* u (+ (* -1 n0_i) (/ n0_i u))))
(- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(- (+ (* -1/24 n0_i) (* 7/360 n1_i)) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))
(* 7/360 n1_i)
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))
(+ (* -1 n0_i) (/ n0_i u))
(+ n1_i (+ (* -1 n0_i) (/ n0_i u)))
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i)))
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle))))
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(* n1_i (+ u (/ (* u (+ (* -1 n0_i) (/ n0_i u))) n1_i)))
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i))))))
(* n1_i (+ (/ 1 n1_i) (/ u n0_i)))
(* n1_i (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u)))))
(* n1_i (- (/ 1 n0_i) (/ 1 n1_i)))
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle))))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (+ (* -1 n0_i) (/ n0_i u))) n1_i)))))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(* -1 (* n1_i (- (* -1 (/ u n0_i)) (/ 1 n1_i))))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1 n0_i) (/ n0_i u)) n1_i)) 1)))
(* -1 (* n1_i (- (/ 1 n1_i) (/ 1 n0_i))))

Outputs
(+ (* n0_i (- 1 u)) (* n1_i u))
(fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u)))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n1_i (pow u 3)))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (.f32 #s(literal -1/6 binary32) (-.f32 (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (.f32 (pow.f32 u #s(literal 3 binary32)) n1_i)) (fma.f32 n1_i u (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (* 1/120 (* n1_i (pow u 5)))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (-.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (.f32 normAngle normAngle) (fma.f32 n1_i u (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ (* n0_i (- 1 u)) (+ (* n1_i u) (* (pow normAngle 2) (- (+ (* -1/6 (* n0_i (pow (- 1 u) 3))) (+ (* -1/6 (* n1_i (pow u 3))) (* (pow normAngle 2) (- (+ (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* 1/120 (* n1_i (pow u 5))) (* (pow normAngle 2) (- (+ (* -1/5040 (* n0_i (pow (- 1 u) 7))) (* -1/5040 (* n1_i (pow u 7)))) (+ (* -1/6 (- (* 1/120 (* n0_i (pow (- 1 u) 5))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (* n0_i (- 1 u)))))) (+ (* -1/6 (- (* 1/120 (* n1_i (pow u 5))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (* 1/120 (* n1_i u))))) (+ (* -1/5040 (* n0_i (- 1 u))) (+ (* -1/5040 (* n1_i u)) (+ (* 1/120 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (* 1/120 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u))))))))))))) (+ (* -1/6 (- (* -1/6 (* n0_i (pow (- 1 u) 3))) (* -1/6 (* n0_i (- 1 u))))) (+ (* -1/6 (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))) (+ (* 1/120 (* n0_i (- 1 u))) (* 1/120 (* n1_i u))))))))) (+ (* -1/6 (* n0_i (- 1 u))) (* -1/6 (* n1_i u)))))))
(fma.f32 (-.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (.f32 #s(literal -1/5040 binary32) (fma.f32 (pow.f32 u #s(literal 7 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 7 binary32)) n0_i))) (fma.f32 #s(literal -1/6 binary32) (+.f32 (-.f32 (.f32 (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i) #s(literal 1/120 binary32)) (fma.f32 (.f32 #s(literal 1/120 binary32) (-.f32 #s(literal 1 binary32) u)) n0_i (.f32 #s(literal 1/36 binary32) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))) (-.f32 (.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (.f32 (.f32 n1_i u) #s(literal 1/120 binary32))))) (fma.f32 #s(literal -1/5040 binary32) (fma.f32 n1_i u (.f32 n0_i (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal -1/720 binary32) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (.f32 #s(literal -1/720 binary32) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u)))))))) (.f32 normAngle normAngle) (.f32 #s(literal 1/120 binary32) (fma.f32 (pow.f32 u #s(literal 5 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 5 binary32)) n0_i)))) (fma.f32 #s(literal 1/36 binary32) (.f32 n0_i (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) (-.f32 #s(literal 1 binary32) u))) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (.f32 #s(literal 1/120 binary32) (fma.f32 n1_i u (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))))) (.f32 normAngle normAngle) (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)))) (.f32 #s(literal -1/6 binary32) (fma.f32 n1_i u (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))) (.f32 normAngle normAngle) (fma.f32 n1_i u (.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
(+ n0_i (* u (- n1_i n0_i)))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (-.f32 (.f32 (.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(+ n0_i (+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i)))))))
(fma.f32 (fma.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/720 binary32) (.f32 n0_i u)) (fma.f32 (-.f32 (.f32 (.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal 1/120 binary32) (.f32 (.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (.f32 normAngle normAngle) (-.f32 (.f32 (.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u))) (*.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) u n0_i))
(- n1_i n0_i)
(-.f32 n1_i n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)) (.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (- (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (+ (* -1/24 n0_i) (* (pow normAngle 2) (- (* 1/720 n0_i) (+ (* -1/6 (- (* -1/24 n0_i) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i))))) (+ (* -1/5040 (- n1_i n0_i)) (* 1/120 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i))))))))) (+ (* -1/6 (- (* 1/2 n0_i) (* -1/6 (- n1_i n0_i)))) (* 1/120 (- n1_i n0_i)))))) (* -1/6 (- n1_i n0_i))))) n0_i)
(fma.f32 (fma.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/720 binary32) n0_i) (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)) #s(literal 1/120 binary32) (.f32 #s(literal -1/5040 binary32) (-.f32 n1_i n0_i))))) (.f32 normAngle normAngle) (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i)))))) (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i)))) n0_i)
(-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)) (.f32 normAngle normAngle) n1_i) n0_i)
(- (+ n1_i (* (pow normAngle 2) (+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i))))))))) n0_i)
(fma.f32 (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))
(* n1_i u)
(*.f32 n1_i u)
(+ (* n1_i u) (* (pow normAngle 2) (- (* -1/6 (* n1_i (pow u 3))) (* -1/6 (* n1_i u)))))
(fma.f32 (.f32 (.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (.f32 normAngle normAngle) (.f32 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)))))
(fma.f32 (fma.f32 (-.f32 (.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (.f32 (.f32 n1_i u) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (.f32 normAngle normAngle) (.f32 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)))))
(fma.f32 (fma.f32 (-.f32 (fma.f32 (-.f32 (.f32 (.f32 (pow.f32 u #s(literal 7 binary32)) n1_i) #s(literal -1/5040 binary32)) (fma.f32 (-.f32 (.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32)) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (.f32 (.f32 n1_i u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 #s(literal -1/720 binary32) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (.f32 #s(literal -1/5040 binary32) (.f32 n1_i u))))) (.f32 normAngle normAngle) (.f32 (.f32 (pow.f32 u #s(literal 5 binary32)) n1_i) #s(literal 1/120 binary32))) (fma.f32 #s(literal 1/36 binary32) (.f32 n1_i (-.f32 (pow.f32 u #s(literal 3 binary32)) u)) (.f32 (.f32 n1_i u) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 (.f32 #s(literal -1/6 binary32) n1_i) (-.f32 (pow.f32 u #s(literal 3 binary32)) u))) (.f32 normAngle normAngle) (*.f32 n1_i u))
(* u (- n1_i n0_i))
(*.f32 (-.f32 n1_i n0_i) u)
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))))
(fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) (.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) u))
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))
(fma.f32 (fma.f32 (-.f32 (.f32 (.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u))) (.f32 normAngle normAngle) (*.f32 (-.f32 n1_i n0_i) u))
(+ (* u (- n1_i n0_i)) (* (pow normAngle 2) (- (+ (* 1/2 (* n0_i u)) (* (pow normAngle 2) (- (+ (* -1/24 (* n0_i u)) (* (pow normAngle 2) (- (* 1/720 (* n0_i u)) (+ (* -1/6 (- (* -1/24 (* n0_i u)) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i)))))) (+ (* -1/5040 (* u (- n1_i n0_i))) (* 1/120 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i)))))))))) (+ (* -1/6 (- (* 1/2 (* n0_i u)) (* -1/6 (* u (- n1_i n0_i))))) (* 1/120 (* u (- n1_i n0_i))))))) (* -1/6 (* u (- n1_i n0_i))))))
(fma.f32 (fma.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/720 binary32) (.f32 n0_i u)) (fma.f32 (-.f32 (.f32 (.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32)))) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal 1/120 binary32) (.f32 (.f32 (-.f32 n1_i n0_i) u) #s(literal -1/5040 binary32))))) (.f32 normAngle normAngle) (-.f32 (.f32 (.f32 n0_i u) #s(literal -1/24 binary32)) (fma.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u)) #s(literal -1/6 binary32) (.f32 (.f32 (-.f32 n1_i n0_i) u) #s(literal 1/120 binary32))))) (.f32 normAngle normAngle) (fma.f32 (.f32 #s(literal 1/2 binary32) u) n0_i (.f32 (.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32)) u))) (.f32 normAngle normAngle) (.f32 (-.f32 n1_i n0_i) u))
(+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))
(fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (*.f32 #s(literal 1/2 binary32) n0_i))
(+ (* 1/6 (- n1_i n0_i)) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))))
(fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (.f32 normAngle normAngle) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)))
(+ (/ (* n0_i (sin (* normAngle (- 1 u)))) (sin normAngle)) (/ (* n1_i (sin (* normAngle u))) (sin normAngle)))
(/.f32 (fma.f32 (sin.f32 (.f32 normAngle u)) n1_i (.f32 (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i)) (sin.f32 normAngle))
(/ (* normAngle (* u (- n1_i (* n0_i (cos normAngle))))) (sin normAngle))
(.f32 (.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(* normAngle (+ (/ n0_i normAngle) (/ (* u (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))))
(.f32 (fma.f32 u (/.f32 (-.f32 n1_i (.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 n0_i normAngle)) normAngle)
(/ (* normAngle (- n1_i (* n0_i (cos normAngle)))) (sin normAngle))
(.f32 normAngle (/.f32 (-.f32 n1_i (.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(* (pow normAngle 4) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(.f32 (pow.f32 normAngle #s(literal 4 binary32)) (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (*.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)) (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (pow.f32 normAngle #s(literal 4 binary32)))
(* (pow normAngle 4) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (+ (* 1/2 (/ n0_i (pow normAngle 2))) (/ n1_i (pow normAngle 4))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (+ (* 1/120 (- n1_i n0_i)) (/ n0_i (pow normAngle 4))))))
(.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (+.f32 (/.f32 n1_i (pow.f32 normAngle #s(literal 4 binary32))) (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)) (*.f32 normAngle normAngle)))) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (fma.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i) (/.f32 n0_i (pow.f32 normAngle #s(literal 4 binary32))))))) (pow.f32 normAngle #s(literal 4 binary32)))
(/ (* n1_i (sin (* normAngle u))) (sin normAngle))
(.f32 n1_i (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)))
(* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (.f32 normAngle normAngle))
(* (pow normAngle 2) (- (+ (* -1/24 n0_i) (+ (* 1/6 (/ (- n1_i n0_i) (pow normAngle 2))) (* 1/2 (/ n0_i (pow normAngle 2))))) (+ (* -1/6 (+ (* 1/6 (- n1_i n0_i)) (* 1/2 n0_i))) (* 1/120 (- n1_i n0_i)))))
(.f32 (-.f32 (fma.f32 #s(literal -1/24 binary32) n0_i (/.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)) (.f32 normAngle normAngle))) (fma.f32 #s(literal -1/36 binary32) (-.f32 n1_i n0_i) (fma.f32 #s(literal -1/12 binary32) n0_i (.f32 #s(literal 1/120 binary32) (-.f32 n1_i n0_i))))) (*.f32 normAngle normAngle))
(* -1 (/ (* normAngle (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle)))))) (sin normAngle)))
(.f32 (neg.f32 normAngle) (/.f32 (.f32 (neg.f32 u) (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i))) (sin.f32 normAngle)))
(* -1 (* normAngle (+ (* -1 (/ n0_i normAngle)) (/ (* u (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))))
(.f32 (neg.f32 normAngle) (fma.f32 u (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (/.f32 (neg.f32 n0_i) normAngle)))
(* -1 (/ (* normAngle (- (* -1 n1_i) (* -1 (* n0_i (cos normAngle))))) (sin normAngle)))
(.f32 (neg.f32 normAngle) (/.f32 (fma.f32 #s(literal -1 binary32) n1_i (.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
n0_i
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle)))))
(fma.f32 (.f32 normAngle u) (/.f32 (-.f32 n1_i (.f32 (cos.f32 normAngle) 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))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (fma.f32 normAngle (/.f32 (-.f32 n1_i (.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) (.f32 (.f32 (.f32 (*.f32 normAngle normAngle) u) n0_i) #s(literal -1/2 binary32))) u n0_i)
(+ n0_i (* u (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))) (+ (* u (+ (* -1/2 (* n0_i (pow normAngle 2))) (* u (+ (* -1/6 (/ (* n1_i (pow normAngle 3)) (sin normAngle))) (* 1/6 (/ (* n0_i (* (pow normAngle 3) (cos normAngle))) (sin normAngle))))))) (/ (* n1_i normAngle) (sin normAngle))))))
(fma.f32 (fma.f32 (fma.f32 (.f32 (.f32 #s(literal -1/2 binary32) n0_i) normAngle) normAngle (.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/6 binary32) (.f32 n0_i (pow.f32 normAngle #s(literal 3 binary32)))) (cos.f32 normAngle) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) u)) u (.f32 normAngle (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))) u n0_i)
(+ n0_i (* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle)))))
(fma.f32 (.f32 normAngle u) (/.f32 (-.f32 n1_i (.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)) n0_i)
(/ (* n1_i (* normAngle u)) (sin normAngle))
(.f32 (.f32 n1_i normAngle) (/.f32 u (sin.f32 normAngle)))
(* u (+ (* -1/6 (/ (* n1_i (* (pow normAngle 3) (pow u 2))) (sin normAngle))) (/ (* n1_i normAngle) (sin normAngle))))
(.f32 (/.f32 (fma.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i)) (.f32 u u) (*.f32 n1_i normAngle)) (sin.f32 normAngle)) u)
(* 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 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (.f32 (pow.f32 normAngle #s(literal 5 binary32)) n1_i)) (.f32 u u) (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i))) (sin.f32 normAngle)) (pow.f32 u #s(literal 3 binary32)) (.f32 n1_i (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))
(* 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))))
(fma.f32 (fma.f32 (/.f32 (fma.f32 (.f32 #s(literal 1/120 binary32) (pow.f32 normAngle #s(literal 5 binary32))) n1_i (.f32 (.f32 #s(literal -1/5040 binary32) (.f32 n1_i (pow.f32 normAngle #s(literal 7 binary32)))) (.f32 u u))) (sin.f32 normAngle)) (.f32 u u) (/.f32 (.f32 #s(literal -1/6 binary32) (.f32 (pow.f32 normAngle #s(literal 3 binary32)) n1_i)) (sin.f32 normAngle))) (pow.f32 u #s(literal 3 binary32)) (.f32 n1_i (.f32 (/.f32 normAngle (sin.f32 normAngle)) u)))
(/ (* u (- (* n1_i normAngle) (* n0_i (* normAngle (cos normAngle))))) (sin normAngle))
(.f32 (.f32 normAngle u) (/.f32 (-.f32 n1_i (*.f32 (cos.f32 normAngle) n0_i)) (sin.f32 normAngle)))
(+ n0_i (* u (+ n1_i (* -1 n0_i))))
(fma.f32 (-.f32 n1_i n0_i) u n0_i)
(+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1))))
(fma.f32 (*.f32 (/.f32 (-.f32 n1_i n0_i) n0_i) u) n0_i n0_i)
1
#s(literal 1 binary32)
(+ 1 (* u (- (/ n1_i n0_i) 1)))
(fma.f32 (/.f32 (-.f32 n1_i n0_i) n0_i) u #s(literal 1 binary32))
(+ 1 (/ (* n1_i u) n0_i))
(fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32))
(/ n0_i u)
(/.f32 n0_i u)
(/ (+ n0_i (* n0_i (* u (- (/ n1_i n0_i) 1)))) u)
(/.f32 (fma.f32 (*.f32 (/.f32 (-.f32 n1_i n0_i) n0_i) u) n0_i n0_i) u)
(* u (- (/ (* n1_i normAngle) (sin normAngle)) (/ (* n0_i (* normAngle (cos normAngle))) (sin normAngle))))
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(-.f32 (fma.f32 #s(literal 7/360 binary32) n1_i (.f32 #s(literal -1/24 binary32) n0_i)) (fma.f32 #s(literal -1/120 binary32) n0_i (.f32 n0_i #s(literal -1/18 binary32))))
(* 7/360 n1_i)
(*.f32 #s(literal 7/360 binary32) n1_i)
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))
(fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (.f32 n0_i #s(literal -1/18 binary32)))) (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/3 binary32)))
(+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (+ (* n1_i (+ 1/6 (* 7/360 (pow normAngle 2)))) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))))
(fma.f32 n0_i #s(literal 1/3 binary32) (fma.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i (.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (.f32 n0_i #s(literal -1/18 binary32)))) (*.f32 normAngle normAngle))))
(+ (* -1 n0_i) (/ n0_i u))
(-.f32 (/.f32 n0_i u) n0_i)
(+ n1_i (+ (* -1 n0_i) (/ n0_i u)))
(+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i)
(* n1_i (+ (/ (sin (* normAngle u)) (sin normAngle)) (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))
(.f32 (/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle)) n1_i)
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (+ (/ n0_i n1_i) (/ (* normAngle u) (sin normAngle)))))
(.f32 (fma.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 n0_i n1_i))) n1_i)
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle)))) (/ normAngle (sin normAngle))))
(.f32 (fma.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (.f32 (cos.f32 normAngle) normAngle) (sin.f32 normAngle)) (/.f32 normAngle (sin.f32 normAngle))) n1_i)
(* n1_i (+ 1 (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2))))))
(.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i)
(* n1_i (- (+ 1 (+ (* (pow normAngle 2) (+ 1/6 (* 7/360 (pow normAngle 2)))) (/ (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n1_i))) (/ n0_i n1_i)))
(.f32 (-.f32 (fma.f32 (.f32 normAngle normAngle) (+.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (.f32 n0_i #s(literal -1/18 binary32)))) (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/3 binary32))) n1_i) (fma.f32 #s(literal 7/360 binary32) (*.f32 normAngle normAngle) #s(literal 1/6 binary32))) #s(literal 1 binary32)) (/.f32 n0_i n1_i)) n1_i)
(* n1_i (+ (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle)))) (/ (* normAngle u) (sin normAngle))))
(.f32 (fma.f32 (/.f32 (neg.f32 n0_i) n1_i) (/.f32 (.f32 (.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) (.f32 normAngle (/.f32 u (sin.f32 normAngle)))) n1_i)
(* n1_i (+ u (/ (* n0_i (- 1 u)) n1_i)))
(*.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u) n1_i)
(* n1_i (- (+ (/ 1 n1_i) (/ u n0_i)) (/ u n1_i)))
(*.f32 (+.f32 (/.f32 u n0_i) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) n1_i)
(* n1_i (+ u (/ (* u (+ (* -1 n0_i) (/ n0_i u))) n1_i)))
(*.f32 (fma.f32 u (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u) n1_i)
(* n1_i (- (+ 7/360 (* -1/24 (/ n0_i n1_i))) (+ (* -1/6 (/ (+ (* -1/6 n0_i) (* 1/2 n0_i)) n1_i)) (* -1/120 (/ n0_i n1_i)))))
(.f32 (+.f32 #s(literal 7/360 binary32) (/.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (*.f32 n0_i #s(literal -1/18 binary32)))) n1_i)) n1_i)
(* n1_i (+ 1/6 (* -1/6 (/ n0_i n1_i))))
(*.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1/6 binary32) #s(literal 1/6 binary32)) n1_i)
(* n1_i (+ 1/6 (* 7/360 (pow normAngle 2))))
(.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) n1_i)
(* n1_i (+ 1/6 (+ (* -1/6 (/ n0_i n1_i)) (+ (* 7/360 (pow normAngle 2)) (+ (* 1/2 (/ n0_i n1_i)) (/ (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))) n1_i))))))
(.f32 (+.f32 (fma.f32 (.f32 #s(literal 7/360 binary32) normAngle) normAngle (/.f32 (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (.f32 n0_i #s(literal -1/18 binary32)))) (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/3 binary32))) n1_i)) #s(literal 1/6 binary32)) n1_i)
(* n1_i (+ (/ 1 n1_i) (/ u n0_i)))
(fma.f32 (/.f32 u n0_i) n1_i #s(literal 1 binary32))
(* n1_i (+ 1 (+ (* -1 (/ n0_i n1_i)) (/ n0_i (* n1_i u)))))
(fma.f32 (fma.f32 (/.f32 n0_i n1_i) #s(literal -1 binary32) (/.f32 (/.f32 n0_i n1_i) u)) n1_i n1_i)
(* n1_i (- (/ 1 n0_i) (/ 1 n1_i)))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) n0_i) (/.f32 #s(literal 1 binary32) n1_i)) n1_i)
(* -1 (* n1_i (+ (* -1 (/ (sin (* normAngle u)) (sin normAngle))) (* -1 (/ (* n0_i (sin (* normAngle (- 1 u)))) (* n1_i (sin normAngle)))))))
(.f32 (neg.f32 (/.f32 (+.f32 (/.f32 (.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) n0_i) n1_i) (sin.f32 (.f32 normAngle u))) (sin.f32 normAngle))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (* -1 (/ (+ n0_i (* -1 (/ (* n0_i (* normAngle (* u (cos normAngle)))) (sin normAngle)))) n1_i)))))
(.f32 (neg.f32 (fma.f32 normAngle (/.f32 u (sin.f32 normAngle)) (/.f32 (fma.f32 (/.f32 (.f32 (*.f32 (cos.f32 normAngle) u) normAngle) (sin.f32 normAngle)) (neg.f32 n0_i) n0_i) n1_i))) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ normAngle (sin normAngle))) (/ (* n0_i (* normAngle (cos normAngle))) (* n1_i (sin normAngle))))))
(.f32 (/.f32 (fma.f32 #s(literal -1 binary32) normAngle (/.f32 (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i) n1_i)) (sin.f32 normAngle)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6)) 1)))
(.f32 (-.f32 (.f32 (.f32 (-.f32 (.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) normAngle) normAngle) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (- (* (pow normAngle 2) (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))))))) n0_i) n1_i)) (* (pow normAngle 2) (- (* -7/360 (pow normAngle 2)) 1/6))) 1)))
(.f32 (-.f32 (fma.f32 (.f32 (-.f32 (.f32 #s(literal -7/360 binary32) (.f32 normAngle normAngle)) #s(literal 1/6 binary32)) normAngle) normAngle (/.f32 (-.f32 (.f32 (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (.f32 n0_i #s(literal -1/18 binary32)))) (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/3 binary32))) (.f32 normAngle normAngle)) n0_i) (neg.f32 n1_i))) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ (* normAngle u) (sin normAngle))) (/ (* n0_i (* normAngle (* u (cos normAngle)))) (* n1_i (sin normAngle))))))
(.f32 (/.f32 (fma.f32 (neg.f32 u) normAngle (/.f32 (.f32 (.f32 (.f32 (cos.f32 normAngle) u) normAngle) n0_i) n1_i)) (sin.f32 normAngle)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* n0_i (- 1 u)) n1_i)))))
(*.f32 (neg.f32 (fma.f32 n0_i (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i) u)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 (/ u n0_i)) (* -1 (/ (- 1 u) n1_i)))))
(*.f32 (-.f32 (/.f32 u (neg.f32 n0_i)) (/.f32 (-.f32 #s(literal 1 binary32) u) n1_i)) (neg.f32 n1_i))
(* -1 (* n1_i (+ (* -1 u) (* -1 (/ (* u (+ (* -1 n0_i) (/ n0_i u))) n1_i)))))
(*.f32 (neg.f32 (fma.f32 u (/.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i))) n1_i)) 7/360)))
(.f32 (-.f32 (/.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (*.f32 n0_i #s(literal -1/18 binary32)))) (neg.f32 n1_i)) #s(literal 7/360 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* 1/6 (/ n0_i n1_i)) 1/6)))
(.f32 (-.f32 (.f32 (/.f32 n0_i n1_i) #s(literal 1/6 binary32)) #s(literal 1/6 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -7/360 (pow normAngle 2)) 1/6)))
(.f32 (-.f32 (.f32 #s(literal -7/360 binary32) (*.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (+ (* -1 (/ (+ (* -1/6 n0_i) (+ (* 1/2 n0_i) (* (pow normAngle 2) (- (* -1/24 n0_i) (+ (* -1/6 (+ (* -1/6 n0_i) (* 1/2 n0_i))) (* -1/120 n0_i)))))) n1_i)) (* -7/360 (pow normAngle 2))) 1/6)))
(.f32 (-.f32 (/.f32 (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 #s(literal -1/120 binary32) n0_i (.f32 n0_i #s(literal -1/18 binary32)))) (.f32 normAngle normAngle) (.f32 n0_i #s(literal 1/3 binary32))) (neg.f32 n1_i)) (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32))) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ u n0_i)) (/ 1 n1_i))))
(*.f32 (-.f32 (/.f32 u (neg.f32 n0_i)) (/.f32 #s(literal 1 binary32) n1_i)) (neg.f32 n1_i))
(* -1 (* n1_i (- (* -1 (/ (+ (* -1 n0_i) (/ n0_i u)) n1_i)) 1)))
(*.f32 (-.f32 (/.f32 (-.f32 (/.f32 n0_i u) n0_i) (neg.f32 n1_i)) #s(literal 1 binary32)) (neg.f32 n1_i))
(* -1 (* n1_i (- (/ 1 n1_i) (/ 1 n0_i))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) n1_i) (/.f32 #s(literal 1 binary32) n0_i)) (neg.f32 n1_i))

rewrite263.0ms (2.4%)

Memory

20.2MiB live, 405.2MiB allocated; 53ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	84	746
0	110	746
1	451	719
2	3520	719
0	8378	696

Stop Event

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

Counts

26 → 176

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
(fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i))
(-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))
#s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i))
(*.f32 u n1_i)
(+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
(.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u)
#s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i))
(.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)
(-.f32 #s(approx (+ (* n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u)
(*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
#s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u)))
#s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))
#s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i))
(*.f32 #s(literal 7/360 binary32) n1_i)
(*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))
(fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))))
(/.f32 (fma.f32 u n1_i n0_i) n0_i)
(fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u))
(-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))

Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (fma.f32 (fma.f32 (.f32 normAngle normAngle) #s(approx (- ( -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i))) (*.f32 normAngle normAngle) (-.f32 n1_i n0_i))) u n0_i))
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(/.f32 (-.f32 (pow.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) #s(literal 2 binary32)) (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32))) (-.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) (/.f32 n0_i u)))
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) #s(literal 3 binary32))) (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (pow.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) #s(literal 2 binary32)) (.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) (/.f32 n0_i u)))))
(/.f32 (+.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (pow.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) #s(literal 3 binary32))) (fma.f32 (/.f32 n0_i u) (-.f32 (/.f32 n0_i u) (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) (pow.f32 (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) #s(literal 2 binary32))))
(-.f32 (/.f32 (pow.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) #s(literal 2 binary32)) (-.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) (/.f32 n0_i u))) (/.f32 (pow.f32 (/.f32 n0_i u) #s(literal 2 binary32)) (-.f32 (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) (/.f32 n0_i u))))
(-.f32 (/.f32 n0_i u) (*.f32 (neg.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))) n0_i))
(-.f32 (/.f32 n0_i u) (*.f32 (neg.f32 n0_i) (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))))
(fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u))
(fma.f32 n0_i (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) (/.f32 n0_i u))
(+.f32 (/.f32 (pow.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) #s(literal 3 binary32)) (fma.f32 (/.f32 n0_i u) (-.f32 (/.f32 n0_i u) (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) (pow.f32 (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) #s(literal 2 binary32)))) (/.f32 (pow.f32 (/.f32 n0_i u) #s(literal 3 binary32)) (fma.f32 (/.f32 n0_i u) (-.f32 (/.f32 n0_i u) (.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i)) (pow.f32 (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) #s(literal 2 binary32)))))
(+.f32 (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i) (/.f32 n0_i u))
(+.f32 (/.f32 n0_i u) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 2 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 3 binary32)) #s(literal 1 binary32))) (neg.f32 (+.f32 (+.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 n1_i n0_i))))
(/.f32 (-.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (+.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)))
(/.f32 (-.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 3 binary32)) #s(literal 1 binary32)) (+.f32 (+.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 n1_i n0_i)))
(-.f32 (/.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 2 binary32)) (+.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))))
(-.f32 (/.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 3 binary32)) (+.f32 (+.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 n1_i n0_i))) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 (pow.f32 (/.f32 n1_i n0_i) #s(literal 2 binary32)) #s(literal 1 binary32)) (/.f32 n1_i n0_i))))
(-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32))

eval50.0ms (0.5%)

Memory: -9.8MiB live, 133.4MiB allocated; 14ms collecting garbage
Compiler: Compiled 28 598 to 2 200 computations (92.3% saved)

prune81.0ms (0.7%)

Memory

9.4MiB live, 102.0MiB allocated; 5ms collecting garbage

Pruning

24 alts after pruning (18 fresh and 6 done)

	Pruned	Kept	Total
New	336	6	342
Fresh	3	12	15
Picked	1	4	5
Done	0	2	2
Total	340	24	364

Accuracy

100.0%

Counts

364 → 24

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (.f32 #s(literal 3 binary32) n0_i)) u (.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
	98.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 #s(approx (- (- (+ ( -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (.f32 (fma.f32 #s(literal -3 binary32) u #s(literal 2 binary32)) (neg.f32 n0_i))) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
	99.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 #s(approx (- (- (+ ( -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 n1_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))
	90.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))) u n0_i))
	99.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
	99.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) #s(approx (* 1/6 (- n1_i n0_i)) (.f32 #s(literal 1/6 binary32) n1_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
✓	98.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
	84.8%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
	98.7%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i))) u n0_i))
	57.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
	98.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
✓	98.6%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
	39.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))))
	39.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))))
	39.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 #s(approx (sin ( normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
✓	98.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
✓	98.3%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
	38.4%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) #s(approx (/ (+ (* u n1_i) n0_i) n0_i) (*.f32 n1_i (/.f32 u n0_i)))) u) n0_i)))
	98.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
	57.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))
	38.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (*.f32 (/.f32 (-.f32 n1_i n0_i) n0_i) u)) n0_i)))
	47.5%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)))
✓	98.1%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
✓	40.2%	#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))

Compiler

Compiled 4 201 to 1 215 computations (71.1% saved)

regimes88.0ms (0.8%)

Memory

15.8MiB live, 197.9MiB allocated; 33ms collecting garbage

Counts

54 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (*.f32 (/.f32 (-.f32 n1_i n0_i) n0_i) u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) #s(approx (/ (+ (* u n1_i) n0_i) n0_i) (*.f32 n1_i (/.f32 u n0_i)))) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (fma.f32 #s(literal -1 binary32) (+.f32 n1_i (/.f32 n0_i u)) n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 #s(approx (- (- (+ ( -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 n1_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) n0_i) u (.f32 #s(literal 1/6 binary32) (.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) #s(approx (* 1/6 (- n1_i n0_i)) (.f32 #s(literal 1/6 binary32) n1_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 #s(approx (- (- (+ ( -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (.f32 (fma.f32 #s(literal -3 binary32) u #s(literal 2 binary32)) (neg.f32 n0_i))) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 #s(literal -3 binary32) n0_i (.f32 (.f32 n0_i u) #s(literal 3 binary32))) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) u (.f32 #s(literal 3 binary32) n0_i)) u (.f32 #s(literal -3 binary32) n0_i)) (-.f32 n1_i n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 (-.f32 (-.f32 (fma.f32 (fma.f32 (fma.f32 #s(literal -1 binary32) n0_i n1_i) u (.f32 #s(literal 3 binary32) n0_i)) u (.f32 #s(literal -3 binary32) n0_i)) n1_i) (neg.f32 n0_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 (-.f32 (.f32 #s(literal -1/24 binary32) n0_i) (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) #s(literal -1/6 binary32) (.f32 (-.f32 n1_i n0_i) #s(literal 1/120 binary32)))) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (/.f32 (.f32 (.f32 normAngle n1_i) u) (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 #s(approx (sin ( normAngle u)) (*.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (*.f32 n1_i (/.f32 normAngle (sin.f32 normAngle)))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (.f32 (fma.f32 #s(literal -1/6 binary32) (.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i #s(approx (sin normAngle) (.f32 (fma.f32 (-.f32 (.f32 #s(literal 1/120 binary32) (.f32 normAngle normAngle)) #s(literal 1/6 binary32)) (.f32 normAngle normAngle) #s(literal 1 binary32)) normAngle)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (sin.f32 (.f32 normAngle u)) (/.f32 n1_i (sin.f32 normAngle))))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) #s(literal 1 binary32)) n0_i) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (*.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle)) u n0_i))
(/.f32 (fma.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) #s(approx ( n1_i (sin (* normAngle u))) (.f32 (.f32 normAngle n1_i) u))) (sin.f32 normAngle))
(+.f32 (.f32 #s(approx ( (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) (-.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))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (fma.f32 (.f32 u (.f32 #s(literal -1/2 binary32) n0_i)) (.f32 normAngle normAngle) (/.f32 (-.f32 (.f32 n1_i normAngle) (.f32 (.f32 (cos.f32 normAngle) normAngle) n0_i)) (sin.f32 normAngle))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) (fma.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i (-.f32 (.f32 (pow.f32 u #s(literal 3 binary32)) n1_i) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (* -1/6 (+ (* (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u))))) (* normAngle normAngle)) (+ (* (- 1 u) n0_i) (* n1_i u))) (.f32 (fma.f32 (-.f32 (fma.f32 (pow.f32 u #s(literal 3 binary32)) n1_i (.f32 (pow.f32 (-.f32 #s(literal 1 binary32) u) #s(literal 3 binary32)) n0_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))) #s(literal -1/6 binary32) (/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u)) (.f32 normAngle normAngle))) (.f32 normAngle normAngle))))
(/.f32 (fma.f32 n0_i (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (.f32 n1_i (sin.f32 (*.f32 normAngle u)))) (sin.f32 normAngle))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (/.f32 (fma.f32 (/.f32 n0_i n1_i) (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (sin.f32 (*.f32 normAngle u))) (sin.f32 normAngle)) n1_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (.f32 (/.f32 (fma.f32 (/.f32 n1_i n0_i) (sin.f32 (.f32 normAngle u)) (sin.f32 (*.f32 (-.f32 #s(literal 1 binary32) u) normAngle))) (sin.f32 normAngle)) n0_i))
(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 #s(approx (* (sin (* u normAngle)) (/ 1 (sin normAngle))) (*.f32 (/.f32 normAngle (sin.f32 normAngle)) u)) n1_i))
(fma.f32 (/.f32 (sin.f32 (.f32 normAngle u)) (sin.f32 normAngle)) n1_i (.f32 (/.f32 n0_i (sin.f32 normAngle)) (sin.f32 (*.f32 normAngle (-.f32 #s(literal 1 binary32) u)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (sin.f32 normAngle)) (.f32 n1_i (sin.f32 (.f32 normAngle u))) (.f32 (neg.f32 (neg.f32 n0_i)) (/.f32 (sin.f32 (.f32 normAngle (-.f32 #s(literal 1 binary32) u))) (sin.f32 normAngle))))
(+.f32 #s(approx (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (fma.f32 (neg.f32 n0_i) (.f32 (.f32 (cos.f32 normAngle) u) (/.f32 normAngle (sin.f32 normAngle))) n0_i)) (.f32 (.f32 (sin.f32 (*.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
(+.f32 (.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

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (*.f32 #s(literal 7/360 binary32) n1_i)) (*.f32 normAngle normAngle) (*.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (*.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))

Calls

5 calls:

22.0ms	n0_i
17.0ms	u
17.0ms	n1_i
16.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
13.0ms	normAngle

Results

Accuracy	Segments	Branch
99.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
99.6%	1	`normAngle`
99.6%	1	`u`
99.6%	1	`n0_i`
99.6%	1	`n1_i`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes68.0ms (0.6%)

Memory

-33.1MiB live, 110.4MiB allocated; 19ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (*.f32 (/.f32 (-.f32 n1_i n0_i) n0_i) u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) #s(approx (/ (+ (* u n1_i) n0_i) n0_i) (*.f32 n1_i (/.f32 u n0_i)))) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (fma.f32 #s(literal -1 binary32) (+.f32 n1_i (/.f32 n0_i u)) n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 (-.f32 n1_i n0_i) #s(literal 1/6 binary32) (.f32 #s(literal 1/2 binary32) n0_i)) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) #s(approx (* (- (+ (* n1_i (/ u n0_i)) 1) u) n0_i) (*.f32 (fma.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i (/.f32 n0_i u)) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 #s(approx (- (- (+ ( -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (neg.f32 n1_i)) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (.f32 n1_i u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) u) n0_i) (+.f32 (fma.f32 (-.f32 n1_i n0_i) u n0_i) (.f32 (fma.f32 (.f32 #s(literal 1/2 binary32) n0_i) u (.f32 #s(literal 1/6 binary32) (.f32 (-.f32 n1_i n0_i) u))) (*.f32 normAngle normAngle)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) #s(approx (* 1/6 (- n1_i n0_i)) (.f32 #s(literal 1/6 binary32) n1_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (.f32 #s(literal -1/6 binary32) #s(approx (+ ( (pow (- 1 u) 3) n0_i) (- (* (pow u 3) n1_i) (+ (* (- 1 u) n0_i) (* n1_i u)))) (.f32 #s(approx (- (- (+ ( -3 n0_i) (* (* n0_i u) 3)) n1_i) (neg n0_i)) (.f32 (fma.f32 #s(literal -3 binary32) u #s(literal 2 binary32)) (neg.f32 n0_i))) u))) (.f32 normAngle normAngle) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u))))

Outputs

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

Calls

5 calls:

30.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
11.0ms	n0_i
10.0ms	n1_i
7.0ms	u
7.0ms	normAngle

Results

Accuracy	Segments	Branch
99.5%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
99.5%	1	`normAngle`
99.5%	1	`u`
99.5%	1	`n0_i`
99.5%	1	`n1_i`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes56.0ms (0.5%)

Memory

24.5MiB live, 69.1MiB allocated; 9ms collecting garbage

Counts

21 → 1

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (+.f32 (.f32 #s(approx (/ (- ( n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u) n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (- 1 u) #s(literal 1 binary32)) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 u n1_i (*.f32 n0_i (-.f32 #s(literal 1 binary32) u))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 (-.f32 #s(literal 1 binary32) u) n0_i (*.f32 n1_i u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 n1_i n0_i) (/.f32 n0_i u)) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (-.f32 (/.f32 n0_i u) n0_i) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (*.f32 (/.f32 (-.f32 n1_i n0_i) n0_i) u)) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) #s(approx (/ (+ (* u n1_i) n0_i) n0_i) (*.f32 n1_i (/.f32 u n0_i)))) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (+.f32 (fma.f32 #s(literal -1 binary32) n0_i (/.f32 n0_i u)) n1_i) u)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 (-.f32 #s(approx (+ ( n1_i (/ u n0_i)) 1) (/.f32 (fma.f32 u n1_i n0_i) n0_i)) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (-.f32 (fma.f32 n1_i (/.f32 u n0_i) #s(literal 1 binary32)) u) n0_i)))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (*.f32 (-.f32 (/.f32 n1_i n0_i) #s(literal 1 binary32)) n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (*.f32 (neg.f32 u) (fma.f32 #s(literal -1 binary32) (+.f32 n1_i (/.f32 n0_i u)) n0_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (/.f32 (*.f32 (+.f32 n1_i n0_i) (-.f32 n1_i n0_i)) (+.f32 n1_i n0_i))) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- (+ (* (+ (* 1/2 n0_i) (+ (* (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (* normAngle normAngle)) (* 1/6 (- n1_i n0_i)))) (* normAngle normAngle)) n1_i) n0_i) (.f32 (fma.f32 (fma.f32 #s(literal 7/360 binary32) (.f32 normAngle normAngle) #s(literal 1/6 binary32)) (*.f32 normAngle normAngle) #s(literal 1 binary32)) n1_i))) u n0_i))

Outputs

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))

Calls

5 calls:

31.0ms	u
6.0ms	(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))
6.0ms	normAngle
6.0ms	n1_i
6.0ms	n0_i

Results

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

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes36.0ms (0.3%)

Memory

-19.4MiB live, 25.1MiB allocated; 10ms collecting garbage

Counts

4 → 3

Calls

Call 1

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

Outputs

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))

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

#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))

Calls

5 calls:

28.0ms	normAngle
2.0ms	u
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	n1_i
2.0ms	n0_i

Results

Accuracy	Segments	Branch
57.6%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
57.6%	1	`normAngle`
57.6%	1	`u`
75.3%	3	`n0_i`
73.8%	3	`n1_i`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

regimes2.0ms (0%)

Memory

4.8MiB live, 4.8MiB allocated; 0ms collecting garbage

Counts

3 → 3

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

Calls

1 calls:

2.0ms

n0_i

Results

Accuracy	Segments	Branch
75.2%	3	`n0_i`

Compiler

Compiled 1 to 4 computations (-300% saved)

regimes3.0ms (0%)

Memory

7.8MiB live, 7.8MiB allocated; 0ms collecting garbage

Counts

2 → 3

Calls

Call 1

Inputs

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

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

Outputs

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

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

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

Calls

2 calls:

1.0ms	n1_i
1.0ms	n0_i

Results

Accuracy	Segments	Branch
65.0%	3	`n1_i`
66.3%	3	`n0_i`

Compiler

Compiled 2 to 8 computations (-300% saved)

regimes6.0ms (0.1%)

Memory

15.9MiB live, 15.9MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs

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

Outputs

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

Calls

5 calls:

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

Results

Accuracy	Segments	Branch
40.2%	1	`normAngle`
40.2%	1	`u`
40.2%	1	`(+.f32 (.f32 (.f32 (sin.f32 (.f32 (-.f32 #s(literal 1 binary32) u) normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n0_i) (.f32 (.f32 (sin.f32 (.f32 u normAngle)) (/.f32 #s(literal 1 binary32) (sin.f32 normAngle))) n1_i))`
40.2%	1	`n1_i`
40.2%	1	`n0_i`

Compiler

Compiled 29 to 33 computations (-13.8% saved)

bsearch1.0ms (0%)

Memory

1.4MiB live, 1.4MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.351971117712005e-24	2.756289153628716e-23
0.0ms	-6.966996538038105e-18	-2.477062241051802e-18

Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.351971117712005e-24	2.756289153628716e-23
0.0ms	-6.966996538038105e-18	-2.477062241051802e-18

Compiler

Compiled 28 to 24 computations (14.3% saved)

bsearch1.0ms (0%)

Memory

1.2MiB live, 1.2MiB allocated; 0ms collecting garbage

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
0.0ms	6.351971117712005e-24	2.756289153628716e-23
0.0ms	-2.4282518847482118e-17	-1.7531876361740933e-17

Compiler

Compiled 28 to 24 computations (14.3% saved)

simplify106.0ms (1%)

Memory

-32.6MiB live, 81.2MiB allocated; 65ms collecting garbage

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	523
1	182	483
2	346	445
3	850	441
4	2014	441
5	3964	441
6	6944	441

Stop Event

1×	node limit

Calls

Call 1

Inputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(if (<=.f32 n0_i #s(literal -6044629/1208925819614629174706176 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i)) (if (<=.f32 n0_i #s(literal 6338253/633825300114114700748351602688 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (.f32 u n1_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))))
(if (<=.f32 n0_i #s(literal -6044629/1208925819614629174706176 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) (if (<=.f32 n0_i #s(literal 6338253/633825300114114700748351602688 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (.f32 u n1_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))))
(if (<=.f32 n0_i #s(literal -6044629/302231454903657293676544 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) (if (<=.f32 n0_i #s(literal 6338253/633825300114114700748351602688 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (.f32 u n1_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))

Outputs
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (fma.f32 #s(approx (- (* -1/24 n0_i) (+ (* (+ (* 1/2 n0_i) (* 1/6 (- n1_i n0_i))) -1/6) (* (- n1_i n0_i) 1/120))) (.f32 #s(literal 7/360 binary32) n1_i)) (.f32 normAngle normAngle) (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i)))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 (fma.f32 (fma.f32 #s(literal 1/2 binary32) n0_i (.f32 #s(literal 1/6 binary32) (-.f32 n1_i n0_i))) (.f32 normAngle normAngle) n1_i) n0_i)) u n0_i))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) (-.f32 n1_i n0_i)) u n0_i))
(if (<=.f32 n0_i #s(literal -6044629/1208925819614629174706176 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i)) (if (<=.f32 n0_i #s(literal 6338253/633825300114114700748351602688 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (.f32 u n1_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i))))
(if (or (<=.f32 n0_i #s(literal -6044629/1208925819614629174706176 binary32)) (not (<=.f32 n0_i #s(literal 6338253/633825300114114700748351602688 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) (fma.f32 #s(approx (/ (- (* n1_i normAngle) (* (* (cos normAngle) normAngle) n0_i)) (sin normAngle)) #s(approx (- n1_i n0_i) (neg.f32 n0_i))) u n0_i)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i))))
(if (<=.f32 n0_i #s(literal -6044629/1208925819614629174706176 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) (if (<=.f32 n0_i #s(literal 6338253/633825300114114700748351602688 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (.f32 u n1_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i)))))
(if (or (<=.f32 n0_i #s(literal -6044629/1208925819614629174706176 binary32)) (not (<=.f32 n0_i #s(literal 6338253/633825300114114700748351602688 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) (-.f32 #s(literal 1 binary32) u)) n0_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i))))
(if (<=.f32 n0_i #s(literal -6044629/302231454903657293676544 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) (if (<=.f32 n0_i #s(literal 6338253/633825300114114700748351602688 binary32)) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (.f32 u n1_i))) #s(approx (+ ( (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i)))))
(if (or (<=.f32 n0_i #s(literal -6044629/302231454903657293676544 binary32)) (not (<=.f32 n0_i #s(literal 6338253/633825300114114700748351602688 binary32)))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (+ (* (- 1 u) n0_i) (* n1_i u)) (.f32 #s(approx (- (+ ( n1_i (/ u n0_i)) 1) u) #s(literal 1 binary32)) n0_i))) #s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i))))
#s(approx (+ (* (* (sin (* (- 1 u) normAngle)) (/ 1 (sin normAngle))) n0_i) (* (* (sin (* u normAngle)) (/ 1 (sin normAngle))) n1_i)) #s(approx (* (sin (* normAngle u)) (/ n1_i (sin normAngle))) (*.f32 u n1_i)))

derivations682.0ms (6.2%)

Memory

-15.0MiB live, 411.2MiB allocated; 28ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	977	4560
1	3513	4347
0	8290	4107
0	321	1535
1	1092	1412
2	4415	1356
0	8208	1277
0	1044	5502
1	3777	5433
0	8207	5105

Stop Event

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

Compiler

Compiled 523 to 102 computations (80.5% saved)

preprocess45.0ms (0.4%)

Memory: 15.1MiB live, 60.7MiB allocated; 4ms collecting garbage
Remove: (abs normAngle)
Compiler: Compiled 1 270 to 342 computations (73.1% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated; 0ms collecting garbage

start0.0ms (0%)

analyze436.0ms (3.9%)

sample4.2s (37.6%)

explain271.0ms (2.5%)

preprocess283.0ms (2.6%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify187.0ms (1.7%)

localize53.0ms (0.5%)

series79.0ms (0.7%)

simplify221.0ms (2%)

rewrite281.0ms (2.5%)

eval49.0ms (0.4%)

prune46.0ms (0.4%)

simplify234.0ms (2.1%)

localize240.0ms (2.2%)

series140.0ms (1.3%)

simplify274.0ms (2.5%)

rewrite249.0ms (2.3%)

eval286.0ms (2.6%)

prune56.0ms (0.5%)

simplify184.0ms (1.7%)

localize326.0ms (2.9%)

series85.0ms (0.8%)

simplify252.0ms (2.3%)

rewrite267.0ms (2.4%)

eval120.0ms (1.1%)

prune55.0ms (0.5%)

simplify217.0ms (2%)

localize251.0ms (2.3%)

series65.0ms (0.6%)

simplify208.0ms (1.9%)

rewrite263.0ms (2.4%)

eval50.0ms (0.5%)

prune81.0ms (0.7%)

regimes88.0ms (0.8%)

regimes68.0ms (0.6%)

regimes56.0ms (0.5%)

regimes36.0ms (0.3%)

regimes2.0ms (0%)

regimes3.0ms (0%)

regimes6.0ms (0.1%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

bsearch1.0ms (0%)

simplify106.0ms (1%)

derivations682.0ms (6.2%)

preprocess45.0ms (0.4%)

end0.0ms (0%)

Profiling