Metrics for Beckmann Sample, normalization factor

start3.0ms (0%)

Memory: -47.5MiB live, 0.6MiB allocated; 4ms collecting garbage

analyze46.0ms (0.2%)

Memory

-5.5MiB live, 51.6MiB allocated; 34ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	12.3%	87.7%	0%	0%	0%	0
0%	0%	12.3%	87.7%	0%	0%	0%	1
50%	6.2%	6.2%	87.7%	0%	0%	0%	2
50%	6.2%	6.2%	87.7%	0%	0%	0%	3
75%	9.2%	3.1%	87.7%	0%	0%	0%	4
75%	9.2%	3.1%	87.7%	0%	0%	0%	5
87.5%	10.8%	1.5%	87.7%	0%	0%	0%	6
87.5%	10.8%	1.5%	87.7%	0%	0%	0%	7
93.8%	11.5%	0.8%	87.7%	0%	0%	0%	8
93.8%	11.5%	0.8%	87.7%	0%	0%	0%	9
96.9%	11.9%	0.4%	87.7%	0%	0%	0%	10
96.9%	11.9%	0.4%	87.7%	0%	0%	0%	11
98.4%	12.1%	0.2%	87.7%	0%	0%	0%	12

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample1.3s (6.8%)

Memory

19.5MiB live, 1 535.9MiB allocated; 631ms collecting garbage

Samples

896.0ms	8 255×	0	valid
7.0ms	77×	0	invalid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 639.0ms

ival-sqrt: 165.0ms (25.8% of total)

ival-mult!: 123.0ms (19.2% of total)

ival-div!: 90.0ms (14.1% of total)

ival-exp: 81.0ms (12.7% of total)

ival-sub!: 64.0ms (10% of total)

ival-add!: 63.0ms (9.9% of total)

ival-neg: 50.0ms (7.8% of total)

adjust: 2.0ms (0.3% of total)

ival-<: 1.0ms (0.2% of total)

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

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

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

Bogosity

preprocess148.0ms (0.8%)

Memory

4.7MiB live, 49.6MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	46	152
1	237	138
2	1056	126
3	7264	126

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	97.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Status

Accuracy

Program

▶

97.4%

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Compiler

Compiled 42 to 36 computations (14.3% saved)

series524.0ms (2.7%)

Memory

9.8MiB live, 213.8MiB allocated; 83ms collecting garbage

Counts

18 → 100

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)

Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal 3/2 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 (fma.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))) cosTheta))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))
#s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx cosTheta cosTheta)
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (exp (* (neg cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))))
#s(approx (* (neg cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (neg cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))) (sqrt.f32 (PI.f32)))))))
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#s(approx (- (- 1 cosTheta) cosTheta) (.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))
#s(approx (- 1 cosTheta) (.f32 #s(literal -1 binary32) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 c (-.f32 (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (fma.f32 c (-.f32 (.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 4 binary32))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))))
#s(approx (+ 1 c) (+.f32 #s(literal 1 binary32) c))
#s(approx c c)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) c))) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (*.f32 cosTheta (sqrt.f32 (PI.f32))))))) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) (pow.f32 c #s(literal 2 binary32))) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32)))))))) c))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
#s(approx (+ 1 c) (*.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) c)) #s(literal 1 binary32)))))

Calls

6 calls:

Time	Variable		Point	Expression
8.0ms	cosTheta	@	-inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta))
8.0ms	cosTheta	@	inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta))
3.0ms	cosTheta	@	0	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta))
2.0ms	c	@	0	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta))
2.0ms	c	@	inf	((/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) c (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/ 1 (sqrt (PI))) (sqrt (PI)) (PI) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta))

rewrite1.6s (8.4%)

Memory

-13.3MiB live, 414.4MiB allocated; 191ms collecting garbage

Counts

18 → 510

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (neg.f32 #s(literal 1 binary32)))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(.f32 (neg.f32 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(.f32 (neg.f32 #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal 0 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 0 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))))
(/.f32 (neg.f32 #s(literal 1 binary32)) (-.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) #s(literal 1 binary32)) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 (.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) #s(literal 1 binary32))) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))) #s(literal 2 binary32)))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (.f32 #s(literal 2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))))) #s(literal 2 binary32))
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(fma.f32 (*.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) c))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) c)
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (+.f32 #s(literal 0 binary32) c))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) c))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (neg.f32 c)))
(fma.f32 (*.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (neg.f32 c)))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (neg.f32 c)))
(neg.f32 (-.f32 (neg.f32 #s(literal 1 binary32)) c))
c
(neg.f32 (neg.f32 c))
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(.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
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(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))))
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(/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))
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(/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))
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(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (neg.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32)))) (exp.f32 (*.f32 cosTheta cosTheta))))
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(/.f32 (.f32 (.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (-.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (*.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (*.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) (.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(fma.f32 (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 #s(literal 0 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(neg.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 cosTheta)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(*.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 #s(literal 1 binary32)))
(*.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(fabs.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(fabs.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(+.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 0 binary32)))
(+.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 #s(literal 0 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(literal 2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 2 binary32))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 #s(literal 1 binary32)) (*.f32 #s(literal 0 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 #s(literal 1 binary32)) (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 0 binary32)))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 #s(literal 0 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 0 binary32)))
(fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32) (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 #s(literal 0 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(neg.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(*.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(fabs.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(fabs.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(fabs.f32 (*.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))
(+.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))
(+.f32 (-.f32 (neg.f32 cosTheta) cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 cosTheta cosTheta)))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (-.f32 (neg.f32 cosTheta) cosTheta)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 (neg.f32 cosTheta) (-.f32 cosTheta #s(literal 1 binary32)))
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(fma.f32 (neg.f32 #s(literal 2 binary32)) cosTheta #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) (neg.f32 cosTheta) #s(literal 1 binary32))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (-.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (+.f32 cosTheta cosTheta)))
(fma.f32 (*.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (-.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 (*.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) (+.f32 cosTheta cosTheta)))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (-.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) (+.f32 cosTheta cosTheta)))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (-.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 (*.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (+.f32 #s(literal 0 binary32) (-.f32 (neg.f32 cosTheta) cosTheta)))
(neg.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (+.f32 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (*.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)))
(pow.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 2 binary32))
(sqrt.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(+.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 0 binary32))
(+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 cosTheta))
(+.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (neg.f32 cosTheta)))
(-.f32 #s(literal 1 binary32) cosTheta)
(-.f32 (neg.f32 cosTheta) (neg.f32 #s(literal 1 binary32)))
(/.f32 (fma.f32 (neg.f32 cosTheta) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) #s(literal 1 binary32))) #s(literal 2 binary32))
(fma.f32 (*.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (neg.f32 cosTheta))
(fma.f32 (*.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (-.f32 #s(literal 0 binary32) cosTheta))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (neg.f32 cosTheta))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (-.f32 #s(literal 0 binary32) cosTheta))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (neg.f32 cosTheta))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) cosTheta))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) (neg.f32 cosTheta)))
(fma.f32 (*.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) (neg.f32 cosTheta)))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 #s(literal 1 binary32)) (+.f32 #s(literal 0 binary32) (neg.f32 cosTheta)))
(neg.f32 (-.f32 cosTheta #s(literal 1 binary32)))
cosTheta
(neg.f32 (neg.f32 cosTheta))
(.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))))
(fabs.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))))
(fabs.f32 (neg.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))))
(+.f32 (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))) (cosh.f32 (.f32 cosTheta cosTheta)))
(+.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) (exp.f32 (.f32 cosTheta cosTheta))))
(+.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))))
(-.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta)))
(-.f32 (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))) (neg.f32 (cosh.f32 (.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta)))
(/.f32 (.f32 #s(literal 2 binary32) #s(literal 1 binary32)) (.f32 #s(literal 2 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta))))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32))
(/.f32 (fma.f32 (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))))) (.f32 #s(literal 2 binary32) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))))) (.f32 #s(literal 2 binary32) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) #s(literal 2 binary32)))
(exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))
(fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (cosh.f32 (*.f32 cosTheta cosTheta)))
(fma.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) (exp.f32 (.f32 cosTheta cosTheta))))
(neg.f32 (neg.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))))
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(pow.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(pow.f32 (exp.f32 (.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(sqrt.f32 (exp.f32 (.f32 (neg.f32 (.f32 cosTheta cosTheta)) #s(literal 2 binary32))))
(*.f32 (neg.f32 cosTheta) cosTheta)
(*.f32 cosTheta (neg.f32 cosTheta))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(*.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta)))
(neg.f32 (*.f32 cosTheta cosTheta))
(neg.f32 cosTheta)

eval78.0ms (0.4%)

Memory: 42.9MiB live, 86.7MiB allocated; 13ms collecting garbage
Compiler: Compiled 10 652 to 3 181 computations (70.1% saved)

prune28.0ms (0.1%)

Memory

-28.8MiB live, 29.9MiB allocated; 13ms collecting garbage

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	577	19	596
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	578	19	597

Accuracy

99.4%

Counts

597 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
▶	98.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
	97.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) c) cosTheta (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (PI.f32)))))
▶	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
	91.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	96.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
▶	94.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	96.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	94.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	92.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
	56.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))))))))
	56.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) c)) #s(literal 1 binary32))))))
▶	4.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	95.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
	92.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))

Compiler

Compiled 922 to 868 computations (5.9% saved)

series1.2s (6.4%)

Memory

1.0MiB live, 470.6MiB allocated; 215ms collecting garbage

Counts

39 → 177

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))
(neg.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(+.f32 #s(literal 1 binary32) c)
c
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
#s(literal -1 binary32)
(/.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(literal -3/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 cosTheta cosTheta))

Outputs
#s(approx (/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal 3/2 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
#s(approx (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c)) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c)) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c)) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))
#s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx cosTheta cosTheta)
#s(approx (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta)) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta)) (/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (*.f32 #s(literal 1/2 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta)) (/.f32 (fma.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal -1/6 binary32) (/.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (exp (neg (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (exp (neg (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 1 binary32)))))
#s(approx (exp (neg (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 1 binary32)))))
#s(approx (neg (* cosTheta cosTheta)) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (* cosTheta cosTheta) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
#s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (/ cosTheta (sqrt (PI))) (/.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))
#s(approx (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
#s(approx (* -3/2 (/ cosTheta (sqrt (PI)))) (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))
#s(approx (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))
#s(approx (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))))))
#s(approx (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
#s(approx (/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 (*.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))) (sqrt.f32 (PI.f32)))))))
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#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) c)) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 c (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)))))

Calls

6 calls:

Time	Variable		Point	Expression
22.0ms	cosTheta	@	-inf	((/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ 1 c) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) -1 (/ cosTheta (sqrt (PI))) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (* -3/2 (/ cosTheta (sqrt (PI)))) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)))
13.0ms	cosTheta	@	inf	((/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ 1 c) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) -1 (/ cosTheta (sqrt (PI))) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (* -3/2 (/ cosTheta (sqrt (PI)))) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)))
12.0ms	c	@	inf	((/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ 1 c) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) -1 (/ cosTheta (sqrt (PI))) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (* -3/2 (/ cosTheta (sqrt (PI)))) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)))
8.0ms	cosTheta	@	0	((/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ 1 c) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) -1 (/ cosTheta (sqrt (PI))) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (* -3/2 (/ cosTheta (sqrt (PI)))) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)))
4.0ms	c	@	0	((/ 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c))) 1 (+ (* (sqrt (- (- 1 cosTheta) cosTheta)) (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta))) (+ 1 c)) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (/ (exp (neg (* cosTheta cosTheta))) (* (sqrt (PI)) cosTheta)) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ 1 c) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/ 1 c) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) -1 (/ cosTheta (sqrt (PI))) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta) (+ (* cosTheta (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (- (* -3/2 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (* -3/2 (/ cosTheta (sqrt (PI)))) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta)))) (* (* (sqrt (PI)) cosTheta) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)))

rewrite2.7s (13.8%)

Memory

15.1MiB live, 1 363.3MiB allocated; 500ms collecting garbage

Counts

39 → 2 324

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
#s(literal 1 binary32)
(fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))
(neg.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
(+.f32 #s(literal 1 binary32) c)
c
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
#s(literal -1 binary32)
(/.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(literal -3/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 cosTheta cosTheta))

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 1 binary32)))
(.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (neg.f32 cosTheta))) c) #s(literal 1 binary32))) (neg.f32 #s(literal 1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))) (exp.f32 (*.f32 cosTheta cosTheta)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) (/.f32 cosTheta (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (*.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (neg.f32 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (neg.f32 cosTheta))) c) #s(literal 1 binary32))))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (/.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 cosTheta (/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))) cosTheta)
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (sqrt.f32 (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (exp.f32 (.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) cosTheta) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (sqrt.f32 (PI.f32)))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))
(.f32 (neg.f32 #s(literal 1 binary32)) (.f32 (/.f32 #s(literal 1 binary32) (-.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 cosTheta))) c) #s(literal 1 binary32))) #s(literal 1 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal 0 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
(+.f32 (/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(+.f32 (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)))) (.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta)))))
(+.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 0 binary32)))
(+.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (.f32 #s(literal 0 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))))
(/.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (*.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (.f32 #s(literal 1 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (*.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (neg.f32 #s(literal 1 binary32)) (-.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 cosTheta))) c) #s(literal 1 binary32)))
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (.f32 #s(literal 2 binary32) (neg.f32 #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (-.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 cosTheta))) c) #s(literal 1 binary32))))
(/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 2 binary32)))
(/.f32 (.f32 (neg.f32 #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (-.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 cosTheta))) c) #s(literal 1 binary32)) #s(literal 2 binary32)))
(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (/.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (*.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (sqrt.f32 (PI.f32))))
(/.f32 (.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))) #s(literal 2 binary32))
(fma.f32 (/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (/.f32 #s(literal 0 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 0 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
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(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (.f32 (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (cosh.f32 (.f32 cosTheta cosTheta))) cosTheta))
(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (cosh.f32 (.f32 cosTheta cosTheta))) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (cosh.f32 (.f32 cosTheta cosTheta))) cosTheta))
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32)))))
(fma.f32 (/.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (cosh.f32 (.f32 cosTheta cosTheta))) cosTheta) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (cosh.f32 (.f32 cosTheta cosTheta))) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))) cosTheta) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (/.f32 (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))) (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta))
(fma.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (cosh.f32 (.f32 cosTheta cosTheta))) cosTheta) #s(literal 1 binary32) (.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta) #s(literal 1 binary32)))
(neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 cosTheta))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (*.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) cosTheta)
(.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (neg.f32 cosTheta)))
(.f32 (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (neg.f32 cosTheta))))
(+.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))
(+.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))))
(-.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (sinh.f32 (.f32 cosTheta cosTheta))))
(-.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (neg.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta)))))
(-.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (PI.f32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (PI.f32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) cosTheta (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) cosTheta (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (sinh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (*.f32 cosTheta cosTheta))))
(neg.f32 (.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))
(fabs.f32 (exp.f32 (*.f32 cosTheta cosTheta)))
(fabs.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(+.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta)))
(+.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)))
(-.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))))
(-.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (neg.f32 (cosh.f32 (.f32 cosTheta cosTheta))))
(/.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32))
(/.f32 (fma.f32 (sinh.f32 (.f32 cosTheta cosTheta)) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))))) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))))) #s(literal 2 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 cosTheta cosTheta))))) (.f32 #s(literal 2 binary32) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))))) (.f32 #s(literal 2 binary32) #s(literal 2 binary32)))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32))) (.f32 #s(literal 2 binary32) #s(literal 2 binary32)))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))))) (*.f32 #s(literal 2 binary32) #s(literal 2 binary32)))
(exp.f32 (*.f32 cosTheta cosTheta))
(fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (sinh.f32 (*.f32 cosTheta cosTheta)))
(fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (cosh.f32 (*.f32 cosTheta cosTheta)))
(neg.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(pow.f32 (exp.f32 cosTheta) cosTheta)
(pow.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta))
(pow.f32 (exp.f32 (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 cosTheta))) (neg.f32 (fabs.f32 cosTheta)))
(sqrt.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))))

eval417.0ms (2.2%)

Memory: 17.2MiB live, 341.6MiB allocated; 105ms collecting garbage
Compiler: Compiled 51 726 to 13 775 computations (73.4% saved)

prune86.0ms (0.4%)

Memory

12.6MiB live, 105.4MiB allocated; 14ms collecting garbage

Pruning

31 alts after pruning (29 fresh and 2 done)

	Pruned	Kept	Total
New	2 912	23	2 935
Fresh	8	6	14
Picked	3	2	5
Done	0	0	0
Total	2 923	31	2 954

Accuracy

99.9%

Counts

2 954 → 31

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.5%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))))
	97.4%	(/.f32 (.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta)) (fma.f32 (sqrt.f32 (-.f32 (-.f32 (.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 (*.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta)) c)))
	97.9%	(/.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))
	97.4%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
✓	98.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
▶	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
	96.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
	96.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
▶	96.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
	96.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
	94.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
	94.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
	95.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
	59.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 cosTheta (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))))
	91.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	96.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
▶	94.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	92.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
✓	4.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	95.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
▶	92.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))

Compiler

Compiled 1 545 to 1 441 computations (6.7% saved)

series1.8s (9.2%)

Memory

-16.6MiB live, 754.2MiB allocated; 209ms collecting garbage

Counts

38 → 217

Calls

Call 1

Inputs
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
cosTheta
(fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))
(*.f32 (+.f32 #s(literal 1 binary32) c) cosTheta)
(+.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)
c
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))
(-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta #s(literal -3/2 binary32))
#s(literal -3/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c))
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)

Outputs
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))))) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal 3/2 binary32) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx cosTheta cosTheta)
#s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) #s(literal 1 binary32))
#s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))))
#s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))))
#s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))))
#s(approx (* (+ 1 c) cosTheta) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) c)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1/2 binary32))) #s(literal 1 binary32)))))
#s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
#s(approx (* cosTheta cosTheta) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal 3/2 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (/ (- 1 cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
#s(approx (/ (- 1 cosTheta) cosTheta) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))
#s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32))
#s(approx (- (* cosTheta -3/2) 1) (-.f32 (*.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))
#s(approx (* cosTheta -3/2) (*.f32 #s(literal -3/2 binary32) cosTheta))
#s(approx (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (/.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (.f32 cosTheta (fma.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
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#s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
#s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))))))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32))))))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))))))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
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#s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32))))))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1 binary32) (/.f32 cosTheta (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
#s(approx (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
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#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))
#s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (* (exp (* cosTheta cosTheta)) cosTheta) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
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#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (fma.f32 #s(literal -1/2 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (pow.f32 (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32)))))) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
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#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (fma.f32 #s(literal -1/2 binary32) (/.f32 (fma.f32 #s(literal -1/4 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 2 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32))))) (.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32))))))) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) (fma.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 5 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32))))) (.f32 #s(literal 1/16 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 4 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32)))))))) (pow.f32 cosTheta #s(literal 6 binary32))) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) (fma.f32 #s(literal -1/4 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 2 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 3 binary32)))))) (fma.f32 #s(literal -1/8 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32)) (pow.f32 (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32)))))) (.f32 #s(literal 1/2 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (pow.f32 (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32)))))))))))
#s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (*.f32 cosTheta (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (.f32 cosTheta (fma.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c) (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))
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#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (/.f32 (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (.f32 cosTheta (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (/.f32 #s(literal 1/8 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (.f32 cosTheta (-.f32 (+.f32 (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))) (fma.f32 #s(literal 1/16 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 6 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 5 binary32))))) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 #s(literal 1/8 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32)))))))))
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))
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#s(approx (- (- 1 cosTheta) cosTheta) (*.f32 #s(literal -2 binary32) cosTheta))
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#s(approx (- 1 cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (- 1 cosTheta) (*.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32))))
#s(approx (exp (* cosTheta cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
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#s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) (.f32 cosTheta (PI.f32)))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))
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#s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (fma.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))) (fma.f32 cosTheta (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (* (+ 1 c) cosTheta) (+.f32 cosTheta (*.f32 c cosTheta)))
#s(approx (+ 1 c) (+.f32 #s(literal 1 binary32) c))
#s(approx c c)
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#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) (fma.f32 cosTheta (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) (pow.f32 (fma.f32 cosTheta (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) #s(literal 2 binary32))) (.f32 c (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))))) (/.f32 (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) (fma.f32 cosTheta (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))) (.f32 #s(literal -1 binary32) (/.f32 (fma.f32 cosTheta (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta))) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) c))))))
#s(approx (* (+ 1 c) cosTheta) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (*.f32 #s(literal -1 binary32) (/.f32 cosTheta c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) c)) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (.f32 c (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32))) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) c)) #s(literal 1 binary32)))))

Calls

6 calls:

Time	Variable		Point	Expression
15.0ms	cosTheta	@	-inf	((/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (* (+ 1 c) cosTheta) (+ 1 c) 1 c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI)))) (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (* (sqrt (PI)) cosTheta)) (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (* (exp (* cosTheta cosTheta)) cosTheta))
13.0ms	cosTheta	@	inf	((/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (* (+ 1 c) cosTheta) (+ 1 c) 1 c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI)))) (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (* (sqrt (PI)) cosTheta)) (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (* (exp (* cosTheta cosTheta)) cosTheta))
7.0ms	cosTheta	@	0	((/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (* (+ 1 c) cosTheta) (+ 1 c) 1 c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI)))) (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (* (sqrt (PI)) cosTheta)) (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (* (exp (* cosTheta cosTheta)) cosTheta))
4.0ms	c	@	0	((/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (* (+ 1 c) cosTheta) (+ 1 c) 1 c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI)))) (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (* (sqrt (PI)) cosTheta)) (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (* (exp (* cosTheta cosTheta)) cosTheta))
3.0ms	c	@	inf	((/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (* (+ 1 c) cosTheta) (+ 1 c) 1 c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* cosTheta (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (* (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI)))) (/ (- 1 cosTheta) cosTheta) (/ 1 (sqrt (PI))) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (* (sqrt (PI)) cosTheta)) (+ (* (- (* cosTheta -3/2) 1) cosTheta) 1) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c))) (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (* (exp (* cosTheta cosTheta)) cosTheta))

rewrite2.4s (12.7%)

Memory

7.3MiB live, 945.0MiB allocated; 207ms collecting garbage

Counts

38 → 1 565

Calls

Call 1

Inputs
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(sqrt.f32 (PI.f32))
(PI.f32)
cosTheta
(fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))
(*.f32 (+.f32 #s(literal 1 binary32) c) cosTheta)
(+.f32 #s(literal 1 binary32) c)
#s(literal 1 binary32)
c
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))
(-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta #s(literal -3/2 binary32))
#s(literal -3/2 binary32)
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c))
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))))
(.f32 (/.f32 cosTheta (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 (sqrt.f32 (PI.f32)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))))
(.f32 (/.f32 cosTheta (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (exp.f32 (*.f32 cosTheta cosTheta)))
(.f32 (/.f32 cosTheta (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))) (sqrt.f32 (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 cosTheta (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))))
(.f32 (/.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))) cosTheta)
(.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))))) (*.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))))))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 cosTheta (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))))))
(.f32 (neg.f32 cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))))))
(.f32 cosTheta (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))))
(.f32 (sqrt.f32 (PI.f32)) (/.f32 cosTheta (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (neg.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 cosTheta (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))))))
(.f32 (neg.f32 cosTheta) (.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))))))
(.f32 cosTheta (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))))))
(+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (sinh.f32 (.f32 cosTheta cosTheta))))
(+.f32 (.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (sinh.f32 (.f32 cosTheta cosTheta))) (.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (cosh.f32 (.f32 cosTheta cosTheta))))
(+.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(+.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))))
(/.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))))
(/.f32 (.f32 (neg.f32 #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (neg.f32 #s(literal 1 binary32))) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 (.f32 (.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))))
(fma.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (cosh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (sinh.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(neg.f32 (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (neg.f32 (fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))))))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 1 binary32))
(.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 cosTheta))
(.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32))))
(.f32 (.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
(.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(+.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(+.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) cosTheta) cosTheta)
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (neg.f32 cosTheta)) (neg.f32 cosTheta))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 2 binary32))
(/.f32 (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) cosTheta)) cosTheta)
(/.f32 (.f32 (neg.f32 cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (neg.f32 cosTheta))
(fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(fma.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 1 binary32) (.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 1 binary32) (.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta (.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta (.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 cosTheta) (.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 cosTheta) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(fma.f32 cosTheta (sqrt.f32 (PI.f32)) (.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 cosTheta (sqrt.f32 (PI.f32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(fma.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) (.f32 #s(literal 0 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)) (.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(fma.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32))) (.f32 #s(literal 0 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 (neg.f32 cosTheta) (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(literal 0 binary32)))
(neg.f32 (*.f32 (neg.f32 cosTheta) (sqrt.f32 (PI.f32))))
(fabs.f32 (sqrt.f32 (PI.f32)))
(fabs.f32 (neg.f32 (sqrt.f32 (PI.f32))))
(neg.f32 (neg.f32 (sqrt.f32 (PI.f32))))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(sqrt.f32 (PI.f32))
(PI.f32)
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))))
(fabs.f32 (PI.f32))
(fabs.f32 (*.f32 (neg.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(fabs.f32 (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 (sqrt.f32 (PI.f32)))))
(neg.f32 (neg.f32 (PI.f32)))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (PI.f32) (+.f32 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
(pow.f32 (PI.f32) (*.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
cosTheta
(*.f32 cosTheta #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) cosTheta)
(.f32 (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
(+.f32 cosTheta (*.f32 #s(literal 0 binary32) cosTheta))
(+.f32 cosTheta (*.f32 cosTheta #s(literal 0 binary32)))
(/.f32 (+.f32 cosTheta cosTheta) #s(literal 2 binary32))
(/.f32 (*.f32 cosTheta cosTheta) cosTheta)
(/.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 cosTheta))
(fma.f32 (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (.f32 #s(literal 0 binary32) cosTheta))
(fma.f32 (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (.f32 cosTheta #s(literal 0 binary32)))
(fma.f32 cosTheta #s(literal 1 binary32) (*.f32 #s(literal 0 binary32) cosTheta))
(fma.f32 cosTheta #s(literal 1 binary32) (*.f32 cosTheta #s(literal 0 binary32)))
(fma.f32 #s(literal 1 binary32) cosTheta (*.f32 #s(literal 0 binary32) cosTheta))
(fma.f32 #s(literal 1 binary32) cosTheta (*.f32 cosTheta #s(literal 0 binary32)))
(neg.f32 (neg.f32 cosTheta))
(.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))))
(.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(.f32 (neg.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))))
(.f32 (.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 1 binary32)) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))))
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(-.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32))))
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(/.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (*.f32 cosTheta cosTheta)))
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(/.f32 (neg.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))))
(/.f32 (fma.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))) (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 (/.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 cosTheta cosTheta)))
(/.f32 (fma.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (exp.f32 (.f32 cosTheta cosTheta)))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta)))))
(fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))))
(fma.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))))
(fma.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 1 binary32) (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))))
(fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 1 binary32) (/.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))))
(fma.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (/.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (neg.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))))
(fma.f32 (neg.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 (.f32 (.f32 (fma.f32 c cosTheta cosTheta) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (*.f32 cosTheta cosTheta))))
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(fma.f32 (fma.f32 c cosTheta cosTheta) (/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 c cosTheta cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))
(fma.f32 cosTheta (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))
(fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (sqrt.f32 (PI.f32))) cosTheta (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))
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(fma.f32 (sqrt.f32 (PI.f32)) (fma.f32 c cosTheta cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))
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(*.f32 cosTheta (+.f32 #s(literal 1 binary32) c))
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(-.f32 cosTheta (neg.f32 (*.f32 c cosTheta)))
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(-.f32 (.f32 c cosTheta) (.f32 (neg.f32 cosTheta) #s(literal 1 binary32)))
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(-.f32 #s(literal 1 binary32) (neg.f32 c))
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(/.f32 (fma.f32 c #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (fma.f32 c cosTheta cosTheta) cosTheta)
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(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) cosTheta (+.f32 #s(literal 0 binary32) c))
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(fma.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) #s(literal 2 binary32)) (+.f32 #s(literal 0 binary32) c))
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(fma.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta) (+.f32 #s(literal 0 binary32) c))
(fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (+.f32 #s(literal 0 binary32) c))
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(*.f32 #s(literal -3/2 binary32) cosTheta)
#s(literal -3/2 binary32)
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(fma.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta) (+.f32 #s(literal 0 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) c)))
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(fma.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 (/.f32 (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sinh.f32 (neg.f32 (*.f32 cosTheta cosTheta)))) cosTheta) (-.f32 (neg.f32 #s(literal 1 binary32)) c)))
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(+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (PI.f32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 cosTheta (PI.f32)))
(-.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) (PI.f32)))
(-.f32 (/.f32 (+.f32 cosTheta cosTheta) (neg.f32 (PI.f32))) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (+.f32 cosTheta cosTheta) (PI.f32)))
(-.f32 (/.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) (PI.f32))) (/.f32 (.f32 cosTheta (PI.f32)) (.f32 (PI.f32) (PI.f32))))
(-.f32 (/.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (PI.f32)) (PI.f32)) (/.f32 cosTheta (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(/.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (neg.f32 #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (neg.f32 #s(literal 1 binary32)) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 (PI.f32)))
(/.f32 (fma.f32 (-.f32 cosTheta #s(literal 1 binary32)) (PI.f32) (.f32 (neg.f32 (PI.f32)) (neg.f32 cosTheta))) (.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (fma.f32 (-.f32 cosTheta #s(literal 1 binary32)) (PI.f32) (.f32 (neg.f32 cosTheta) (neg.f32 (PI.f32)))) (.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32) (.f32 (PI.f32) (neg.f32 cosTheta))) (.f32 (PI.f32) (PI.f32)))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32) (.f32 (neg.f32 cosTheta) (PI.f32))) (.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 cosTheta (PI.f32))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (.f32 (-.f32 cosTheta #s(literal 1 binary32)) (PI.f32)) (.f32 (neg.f32 (PI.f32)) cosTheta)) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (-.f32 (.f32 (-.f32 cosTheta #s(literal 1 binary32)) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) (neg.f32 cosTheta))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (PI.f32))) (.f32 (PI.f32) (neg.f32 cosTheta))) (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(/.f32 (-.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (PI.f32)) (+.f32 cosTheta cosTheta)) (PI.f32))
(/.f32 (-.f32 (.f32 (neg.f32 #s(literal 1 binary32)) (PI.f32)) (.f32 (neg.f32 (PI.f32)) (+.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (PI.f32) (+.f32 cosTheta cosTheta))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (PI.f32)) cosTheta) (PI.f32))
(/.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (neg.f32 (PI.f32))) (neg.f32 cosTheta)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 cosTheta (PI.f32))) (PI.f32)) (PI.f32))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 cosTheta (PI.f32)))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (PI.f32)) cosTheta)) (neg.f32 (PI.f32)))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (neg.f32 (/.f32 cosTheta (PI.f32))))
(fma.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 cosTheta)))
(fma.f32 cosTheta (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))
(fma.f32 (-.f32 cosTheta #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (/.f32 cosTheta (PI.f32))))
(fma.f32 (-.f32 cosTheta #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 cosTheta)))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (/.f32 cosTheta (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 cosTheta)))
(fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (/.f32 cosTheta (PI.f32))))
(fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 cosTheta)))
(fma.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 cosTheta) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32) (neg.f32 (/.f32 (+.f32 cosTheta cosTheta) (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32) (*.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32) (-.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (/.f32 cosTheta (PI.f32))))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32) (+.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (neg.f32 (/.f32 cosTheta (PI.f32)))))
(fma.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32) (/.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (PI.f32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (/.f32 (+.f32 cosTheta cosTheta) (PI.f32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (/.f32 cosTheta (PI.f32))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)) (+.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (neg.f32 (/.f32 cosTheta (PI.f32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (PI.f32)))
(fma.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (/.f32 (+.f32 cosTheta cosTheta) (PI.f32))))
(fma.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 cosTheta (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (/.f32 cosTheta (PI.f32))))
(fma.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (neg.f32 (/.f32 cosTheta (PI.f32)))))
(fma.f32 cosTheta (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (PI.f32)))
(fma.f32 cosTheta (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (neg.f32 (/.f32 (+.f32 cosTheta cosTheta) (PI.f32))))
(fma.f32 cosTheta (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (*.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 cosTheta (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 cosTheta (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (-.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (/.f32 cosTheta (PI.f32))))
(fma.f32 cosTheta (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (+.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (neg.f32 (/.f32 cosTheta (PI.f32)))))
(fma.f32 cosTheta (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (PI.f32)))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 (/.f32 (+.f32 cosTheta cosTheta) (PI.f32))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (-.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (/.f32 cosTheta (PI.f32))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 (neg.f32 (/.f32 cosTheta (PI.f32))) (neg.f32 (/.f32 cosTheta (PI.f32)))))
(fma.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (-.f32 (neg.f32 cosTheta) cosTheta) (PI.f32)))
(neg.f32 (/.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) (+.f32 #s(literal 1/2 binary32) #s(literal 1/2 binary32)))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) (*.f32 #s(literal 2 binary32) #s(literal 1/2 binary32)))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1/2 binary32))
(sqrt.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)
(.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))
(.f32 (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 cosTheta))
(.f32 (neg.f32 cosTheta) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))))
(+.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) cosTheta))
(+.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) cosTheta))
(-.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (neg.f32 cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))
(-.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) cosTheta) (neg.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) cosTheta)))
(-.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) cosTheta) (.f32 (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta))
(fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) cosTheta (.f32 (sinh.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(fma.f32 (sinh.f32 (.f32 cosTheta cosTheta)) cosTheta (.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(fma.f32 cosTheta (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sinh.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(fma.f32 cosTheta (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (cosh.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 cosTheta)))

eval530.0ms (2.7%)

Memory: 32.3MiB live, 354.4MiB allocated; 132ms collecting garbage
Compiler: Compiled 37 960 to 12 218 computations (67.8% saved)

prune94.0ms (0.5%)

Memory

-7.7MiB live, 96.2MiB allocated; 18ms collecting garbage

Pruning

34 alts after pruning (31 fresh and 3 done)

	Pruned	Kept	Total
New	2 499	17	2 516
Fresh	10	14	24
Picked	3	2	5
Done	1	1	2
Total	2 513	34	2 547

Accuracy

99.9%

Counts

2 547 → 34

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.9%	(/.f32 (.f32 (/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta) cosTheta)
	97.5%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32)))))))
	97.6%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
	97.0%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
	95.5%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
	97.9%	(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
✓	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
▶	96.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
	96.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
	96.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
▶	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
▶	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
	94.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
	94.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
	95.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
	59.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 cosTheta (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))))
	91.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
	94.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	92.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	92.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
▶	98.7%	(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta)
	95.4%	#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
✓	4.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
▶	55.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
	55.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
✓	92.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))

Compiler

Compiled 1 650 to 1 566 computations (5.1% saved)

series2.3s (12.1%)

Memory

-27.8MiB live, 611.8MiB allocated; 203ms collecting garbage

Counts

41 → 244

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta)
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
#s(literal 1 binary32)
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(PI.f32)
(exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))
(neg.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
(fma.f32 c cosTheta cosTheta)
c
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 cosTheta cosTheta) cosTheta)
(sqrt.f32 (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)))
(+.f32 #s(literal 1 binary32) c)
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))))
#s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))
(+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))
(-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta #s(literal -3/2 binary32))
#s(literal -3/2 binary32)
(/.f32 #s(literal 1 binary32) cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))
(/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta)
(/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta)

Outputs
#s(approx (* (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) cosTheta) (/.f32 cosTheta (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (* (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) cosTheta) (.f32 cosTheta (fma.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
#s(approx (* (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) cosTheta) (.f32 cosTheta (fma.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
#s(approx (* (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) cosTheta) (.f32 cosTheta (fma.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32)))) (fma.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 7 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))) (+.f32 (/.f32 (.f32 (-.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))
#s(approx (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))
#s(approx (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) (fma.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
#s(approx (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) (fma.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (fma.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 (.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))) (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32)))))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32))))) (+.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))) (/.f32 c (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 2 binary32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))
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#s(approx (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
#s(approx (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))))))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32))))))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))))))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1 binary32) (/.f32 cosTheta (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta))
#s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32))))))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32)))))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))
#s(approx (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))
#s(approx (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta))
#s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32))
#s(approx (- (* cosTheta -3/2) 1) (-.f32 (*.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))
#s(approx (* cosTheta -3/2) (*.f32 #s(literal -3/2 binary32) cosTheta))
#s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32))))
#s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (*.f32 cosTheta (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32))) cosTheta))
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#s(approx (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
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#s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32)))
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#s(approx (* (- (* cosTheta -3/2) 1) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (* (- (* cosTheta -3/2) 1) cosTheta) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32))))
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Calls

6 calls:

Time	Variable		Point	Expression
93.0ms	cosTheta	@	-inf	((* (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) cosTheta) (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (PI) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ (* c cosTheta) cosTheta) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI))) (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (- 1 cosTheta) (sqrt (PI))) cosTheta) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)))) (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (sqrt (PI))) (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (* (- (* cosTheta -3/2) 1) cosTheta))
67.0ms	cosTheta	@	0	((* (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) cosTheta) (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (PI) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ (* c cosTheta) cosTheta) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI))) (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (- 1 cosTheta) (sqrt (PI))) cosTheta) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)))) (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (sqrt (PI))) (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (* (- (* cosTheta -3/2) 1) cosTheta))
20.0ms	cosTheta	@	inf	((* (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) cosTheta) (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (PI) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ (* c cosTheta) cosTheta) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI))) (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (- 1 cosTheta) (sqrt (PI))) cosTheta) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)))) (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (sqrt (PI))) (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (* (- (* cosTheta -3/2) 1) cosTheta))
6.0ms	c	@	inf	((* (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) cosTheta) (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (PI) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ (* c cosTheta) cosTheta) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI))) (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (- 1 cosTheta) (sqrt (PI))) cosTheta) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)))) (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (sqrt (PI))) (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (* (- (* cosTheta -3/2) 1) cosTheta))
5.0ms	c	@	-inf	((* (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) cosTheta) (/ 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta))) 1 (+ (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (exp (neg (* cosTheta cosTheta)))) (+ (* c cosTheta) cosTheta)) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (PI) (exp (neg (* cosTheta cosTheta))) (neg (* cosTheta cosTheta)) (* cosTheta cosTheta) (+ (* c cosTheta) cosTheta) c (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (* (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI))) (/ (* cosTheta cosTheta) cosTheta) (sqrt (PI)) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (- 1 cosTheta) (sqrt (PI))) cosTheta) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)))) (+ (+ 1 c) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (sqrt (PI))) (+ (- (* cosTheta -3/2) 1) (/ 1 cosTheta)) (- (* cosTheta -3/2) 1) (* cosTheta -3/2) -3/2 (/ 1 cosTheta) (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (* (- (* cosTheta -3/2) 1) cosTheta))

rewrite1.5s (7.5%)

Memory

92.4MiB live, 752.4MiB allocated; 290ms collecting garbage

Counts

41 → 445

Calls

Call 1

Inputs
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta)
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
#s(literal 1 binary32)
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(PI.f32)
(exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))
(neg.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
(fma.f32 c cosTheta cosTheta)
c
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 cosTheta cosTheta) cosTheta)
(sqrt.f32 (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)))
(+.f32 #s(literal 1 binary32) c)
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta)
(/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))))
#s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))
(+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))
(-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32))
(*.f32 cosTheta #s(literal -3/2 binary32))
#s(literal -3/2 binary32)
(/.f32 #s(literal 1 binary32) cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))
(/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta)
(/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta)

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta)
(.f32 cosTheta (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
(/.f32 (.f32 (neg.f32 #s(literal 1 binary32)) cosTheta) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(/.f32 (.f32 cosTheta (neg.f32 #s(literal 1 binary32))) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(/.f32 (neg.f32 cosTheta) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(.f32 (.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(.f32 (neg.f32 #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))))
(/.f32 (neg.f32 (neg.f32 #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
(/.f32 (.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
(/.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(/.f32 (.f32 #s(literal 1 binary32) (neg.f32 #s(literal 1 binary32))) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(neg.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(neg.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))))
(pow.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)) #s(literal -1 binary32))
#s(literal 1 binary32)
(*.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta))
(fabs.f32 #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) #s(literal 0 binary32))
(/.f32 cosTheta cosTheta)
(/.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))
(/.f32 (+.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 #s(literal 0 binary32)))) #s(literal 2 binary32))
(cosh.f32 #s(literal 0 binary32))
(cosh.f32 (neg.f32 #s(literal 0 binary32)))
(exp.f32 #s(literal 0 binary32))
(fma.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 0 binary32))
(+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))
(+.f32 (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta)
(+.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta) (.f32 c cosTheta))
(+.f32 (fma.f32 c cosTheta cosTheta) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))
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(+.f32 (.f32 c cosTheta) (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta)))))
(-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (fma.f32 c cosTheta cosTheta)))
(-.f32 (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) (neg.f32 cosTheta))
(-.f32 (fma.f32 c cosTheta cosTheta) (.f32 (neg.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
(-.f32 (fma.f32 c cosTheta cosTheta) (.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta)))))
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(-.f32 (fma.f32 c cosTheta cosTheta) (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))
(fma.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (fma.f32 c cosTheta cosTheta))
(fma.f32 (+.f32 #s(literal 1 binary32) c) cosTheta (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 cosTheta (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))
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(fma.f32 (neg.f32 cosTheta) (/.f32 (neg.f32 cosTheta) cosTheta) (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(fma.f32 (fabs.f32 cosTheta) (/.f32 (fabs.f32 cosTheta) cosTheta) (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(fma.f32 (neg.f32 cosTheta) (/.f32 cosTheta (neg.f32 cosTheta)) (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(fma.f32 (neg.f32 cosTheta) (.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta)))))
(fma.f32 (fabs.f32 cosTheta) (.f32 (fabs.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta)))))
(fma.f32 cosTheta #s(literal 1 binary32) (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(fma.f32 #s(literal 1 binary32) cosTheta (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 cosTheta cosTheta) (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta)))))
(fma.f32 (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta)))))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta c (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(fma.f32 cosTheta c (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(fma.f32 c cosTheta (+.f32 cosTheta (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(neg.f32 (neg.f32 (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))))
(fabs.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))
(fabs.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(sqrt.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
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(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 cosTheta (PI.f32)))
(-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (+.f32 cosTheta cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(/.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 cosTheta (PI.f32))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (PI.f32)) cosTheta) (PI.f32))
(fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (neg.f32 cosTheta) (PI.f32)))
(fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (/.f32 cosTheta (PI.f32))))
(neg.f32 (*.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(neg.f32 (-.f32 (/.f32 cosTheta (PI.f32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))
(neg.f32 (/.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)))
(neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (neg.f32 (PI.f32))))
(+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))
(+.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) (neg.f32 (+.f32 cosTheta cosTheta)))
(+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 #s(literal 1 binary32) (+.f32 (neg.f32 cosTheta) (neg.f32 cosTheta)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (neg.f32 cosTheta)))
(fma.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (+.f32 cosTheta cosTheta)))
(fma.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta) (+.f32 (neg.f32 cosTheta) (neg.f32 cosTheta)))
(neg.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))
(+.f32 (neg.f32 cosTheta) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (neg.f32 cosTheta))
(-.f32 #s(literal 1 binary32) cosTheta)
(-.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 cosTheta)))
(fma.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))
(neg.f32 (-.f32 cosTheta #s(literal 1 binary32)))
cosTheta
(*.f32 cosTheta #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) cosTheta)
(.f32 (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
(.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 cosTheta cosTheta))
(.f32 (neg.f32 (.f32 cosTheta cosTheta)) (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)))
(.f32 (.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (fabs.f32 cosTheta) (/.f32 (fabs.f32 cosTheta) cosTheta))
(.f32 (fabs.f32 cosTheta) (.f32 (fabs.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 (neg.f32 cosTheta) (/.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) (/.f32 cosTheta (neg.f32 cosTheta)))
(.f32 (neg.f32 cosTheta) (.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)))
(/.f32 (*.f32 cosTheta cosTheta) cosTheta)
(/.f32 (.f32 (.f32 cosTheta cosTheta) (neg.f32 #s(literal 1 binary32))) (neg.f32 cosTheta))
(/.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) cosTheta)
(/.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 cosTheta))
(/.f32 (*.f32 cosTheta cosTheta) (neg.f32 (neg.f32 cosTheta)))
(neg.f32 (/.f32 (*.f32 cosTheta cosTheta) (neg.f32 cosTheta)))
(neg.f32 (/.f32 (neg.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(pow.f32 cosTheta (+.f32 #s(literal 2 binary32) #s(literal -1 binary32)))
(PI.f32)
(.f32 #s(literal 1 binary32) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))))
(fabs.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))))
(fabs.f32 (neg.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))))
(fabs.f32 (-.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))))
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(+.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta))))
(-.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta)))
(-.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (neg.f32 (sinh.f32 (neg.f32 (.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta)))
(/.f32 (neg.f32 #s(literal 1 binary32)) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))
(neg.f32 (-.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))))
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(pow.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal -1 binary32))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(sqrt.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))))
(*.f32 (neg.f32 cosTheta) cosTheta)
(*.f32 cosTheta (neg.f32 cosTheta))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(*.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta)))
(*.f32 (neg.f32 cosTheta) (neg.f32 (neg.f32 cosTheta)))
(neg.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
(*.f32 (fabs.f32 cosTheta) (fabs.f32 cosTheta))
(*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 (neg.f32 cosTheta)))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (neg.f32 (fabs.f32 cosTheta)))
(*.f32 (fabs.f32 (fabs.f32 cosTheta)) (fabs.f32 (fabs.f32 cosTheta)))
(fabs.f32 (*.f32 cosTheta cosTheta))
(neg.f32 (neg.f32 (*.f32 cosTheta cosTheta)))
(pow.f32 cosTheta #s(literal 2 binary32))
(pow.f32 (neg.f32 cosTheta) #s(literal 2 binary32))
(pow.f32 (fabs.f32 cosTheta) #s(literal 2 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) c) cosTheta)
(*.f32 cosTheta (+.f32 #s(literal 1 binary32) c))
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(+.f32 cosTheta (*.f32 c cosTheta))
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(-.f32 (*.f32 c cosTheta) (neg.f32 cosTheta))
(-.f32 cosTheta (neg.f32 (*.f32 c cosTheta)))
(-.f32 cosTheta (*.f32 (neg.f32 cosTheta) c))
(-.f32 cosTheta (*.f32 (neg.f32 c) cosTheta))
(fma.f32 c cosTheta cosTheta)
(fma.f32 cosTheta c cosTheta)
(fma.f32 (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta) (.f32 c cosTheta))
(fma.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 cosTheta cosTheta) (.f32 c cosTheta))
(fma.f32 cosTheta #s(literal 1 binary32) (*.f32 c cosTheta))
(fma.f32 #s(literal 1 binary32) cosTheta (*.f32 c cosTheta))
(fma.f32 (neg.f32 (.f32 cosTheta cosTheta)) (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 c cosTheta))
(fma.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 c cosTheta))
(fma.f32 (fabs.f32 cosTheta) (/.f32 (fabs.f32 cosTheta) cosTheta) (*.f32 c cosTheta))
(fma.f32 (fabs.f32 cosTheta) (.f32 (fabs.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 c cosTheta))
(fma.f32 (neg.f32 cosTheta) (/.f32 (neg.f32 cosTheta) cosTheta) (*.f32 c cosTheta))
(fma.f32 (neg.f32 cosTheta) (/.f32 cosTheta (neg.f32 cosTheta)) (*.f32 c cosTheta))
(fma.f32 (neg.f32 cosTheta) (.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (.f32 c cosTheta))
(fma.f32 c cosTheta (neg.f32 (neg.f32 cosTheta)))
(fma.f32 cosTheta c (neg.f32 (neg.f32 cosTheta)))
(neg.f32 (neg.f32 (fma.f32 c cosTheta cosTheta)))
c
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta))
(.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal 1 binary32))
(.f32 cosTheta (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta)
(/.f32 (.f32 (neg.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) (neg.f32 cosTheta))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) (neg.f32 (.f32 cosTheta cosTheta))) (neg.f32 cosTheta))
(/.f32 (neg.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32)))) (neg.f32 cosTheta))
cosTheta
(*.f32 cosTheta #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) cosTheta)
(.f32 (.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))
(.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 cosTheta cosTheta))
(.f32 (neg.f32 (.f32 cosTheta cosTheta)) (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)))
(.f32 (.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (fabs.f32 cosTheta) (/.f32 (fabs.f32 cosTheta) cosTheta))
(.f32 (fabs.f32 cosTheta) (.f32 (fabs.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 (neg.f32 cosTheta) (/.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) (/.f32 cosTheta (neg.f32 cosTheta)))
(.f32 (neg.f32 cosTheta) (.f32 (neg.f32 cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)))
(/.f32 (*.f32 cosTheta cosTheta) cosTheta)
(/.f32 (.f32 (.f32 cosTheta cosTheta) (neg.f32 #s(literal 1 binary32))) (neg.f32 cosTheta))
(/.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 1 binary32)) cosTheta)
(/.f32 (neg.f32 (*.f32 cosTheta cosTheta)) (neg.f32 cosTheta))
(/.f32 (*.f32 cosTheta cosTheta) (neg.f32 (neg.f32 cosTheta)))
(neg.f32 (/.f32 (*.f32 cosTheta cosTheta) (neg.f32 cosTheta)))
(neg.f32 (/.f32 (neg.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(pow.f32 cosTheta (+.f32 #s(literal 2 binary32) #s(literal -1 binary32)))
(fabs.f32 (sqrt.f32 (PI.f32)))
(fabs.f32 (neg.f32 (sqrt.f32 (PI.f32))))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
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#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (PI.f32))))
(.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32))))
(.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))))
(.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) cosTheta))
(.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))
(.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta))
(.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (neg.f32 (PI.f32))) (neg.f32 (/.f32 #s(literal 1 binary32) cosTheta)))
(.f32 (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)))
(.f32 (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (.f32 cosTheta (PI.f32))) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32))))
(+.f32 (/.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (PI.f32))) (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 cosTheta (PI.f32))))
(+.f32 (/.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (PI.f32)) cosTheta) (/.f32 (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)) cosTheta))
(-.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (.f32 cosTheta (PI.f32))) (/.f32 (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 cosTheta (PI.f32))))
(/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (*.f32 cosTheta (PI.f32)))
(/.f32 (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta)
(/.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (neg.f32 (*.f32 cosTheta (PI.f32))))
(/.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (*.f32 (neg.f32 (PI.f32)) cosTheta))
(/.f32 (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (neg.f32 (neg.f32 cosTheta)))
(/.f32 (.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (neg.f32 #s(literal 1 binary32))) (.f32 (PI.f32) (neg.f32 cosTheta)))
(/.f32 (.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)) (PI.f32))
(/.f32 (.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (.f32 cosTheta (PI.f32)))
(/.f32 (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (neg.f32 (PI.f32))) (neg.f32 cosTheta))
(/.f32 (.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (neg.f32 #s(literal 1 binary32))) (.f32 (neg.f32 (PI.f32)) (neg.f32 cosTheta)))
(/.f32 (.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (.f32 (neg.f32 (PI.f32)) cosTheta))
(/.f32 (.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (PI.f32)))
(/.f32 (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (neg.f32 #s(literal 1 binary32))) (neg.f32 cosTheta))
(/.f32 (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) #s(literal 1 binary32)) cosTheta)
(neg.f32 (/.f32 (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (neg.f32 cosTheta)))
(neg.f32 (/.f32 (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (neg.f32 (PI.f32))) cosTheta))
(.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(+.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(+.f32 (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)) (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (PI.f32)))
(-.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (PI.f32)) (/.f32 (neg.f32 (sqrt.f32 (PI.f32))) (PI.f32)))
(-.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (PI.f32)) (neg.f32 (/.f32 (sqrt.f32 (PI.f32)) (PI.f32))))
(/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32))
(/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))) (neg.f32 (PI.f32)))
(/.f32 (.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (PI.f32) (.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (PI.f32) (.f32 (sqrt.f32 (PI.f32)) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (fma.f32 (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (PI.f32)) (PI.f32) (sqrt.f32 (PI.f32))) (PI.f32))
(fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (PI.f32)))
(neg.f32 (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (neg.f32 (PI.f32))))
(.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)))
(+.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(+.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(+.f32 (sqrt.f32 (PI.f32)) (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(-.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(-.f32 (sqrt.f32 (PI.f32)) (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -3/2 binary32))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(-.f32 (sqrt.f32 (PI.f32)) (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta)))
(-.f32 (sqrt.f32 (PI.f32)) (neg.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(-.f32 (sqrt.f32 (PI.f32)) (.f32 (neg.f32 (.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))
(fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(fma.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32))) cosTheta (sqrt.f32 (PI.f32)))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32))) cosTheta (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)))
(fma.f32 (sqrt.f32 (PI.f32)) (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(fma.f32 cosTheta (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(fma.f32 cosTheta (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(fma.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(neg.f32 (.f32 (neg.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32))) (sqrt.f32 (PI.f32))))
(.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta)
(.f32 cosTheta (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)))
(+.f32 (.f32 (.f32 cosTheta #s(literal -3/2 binary32)) cosTheta) (*.f32 (neg.f32 #s(literal 1 binary32)) cosTheta))
(+.f32 (.f32 cosTheta (.f32 cosTheta #s(literal -3/2 binary32))) (*.f32 cosTheta (neg.f32 #s(literal 1 binary32))))
(fma.f32 (.f32 cosTheta #s(literal -3/2 binary32)) cosTheta (.f32 (neg.f32 #s(literal 1 binary32)) cosTheta))
(fma.f32 cosTheta (.f32 cosTheta #s(literal -3/2 binary32)) (.f32 cosTheta (neg.f32 #s(literal 1 binary32))))
(neg.f32 (.f32 (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -3/2 binary32))) cosTheta))
(neg.f32 (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 cosTheta #s(literal -3/2 binary32)))))

eval101.0ms (0.5%)

Memory: -16.8MiB live, 115.6MiB allocated; 29ms collecting garbage
Compiler: Compiled 17 918 to 4 871 computations (72.8% saved)

prune137.0ms (0.7%)

Memory

28.7MiB live, 83.2MiB allocated; 95ms collecting garbage

Pruning

42 alts after pruning (37 fresh and 5 done)

	Pruned	Kept	Total
New	795	15	810
Fresh	4	22	26
Picked	3	2	5
Done	0	3	3
Total	802	42	844

Accuracy

99.9%

Counts

844 → 42

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.5%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32)))))))
	97.6%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
	97.0%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
	95.5%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
	97.9%	(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
✓	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
	96.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
	96.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
	96.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
	96.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
✓	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
	94.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
	96.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32))) cosTheta))))
	94.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
	94.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
	59.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 cosTheta (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))))
	91.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	95.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	97.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
	96.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
	94.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	94.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
	92.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
	92.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	92.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
✓	98.7%	(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta)
	98.6%	(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta)
	95.4%	#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
	55.7%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
✓	4.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	55.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
	55.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
	55.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
	55.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
✓	92.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))

Compiler

Compiled 2 169 to 1 490 computations (31.3% saved)

regimes127.0ms (0.7%)

Memory

-26.9MiB live, 158.3MiB allocated; 24ms collecting garbage

Counts

75 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 cosTheta (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (PI.f32)))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta)
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) c) cosTheta (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 (.f32 (/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta) cosTheta)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta)
(/.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 (+.f32 #s(literal 1 binary32) c) (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))
(/.f32 (.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta)) (fma.f32 (sqrt.f32 (-.f32 (-.f32 (.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 (*.f32 cosTheta (/.f32 #s(literal 1 binary32) cosTheta)) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) c)) #s(literal 1 binary32))))))

Outputs

(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta))) cosTheta)

Calls

6 calls:

25.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
25.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
20.0ms	cosTheta
19.0ms	c
19.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

Accuracy	Segments	Branch
98.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.7%	1	`cosTheta`
98.7%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes109.0ms (0.6%)

Memory

17.5MiB live, 151.3MiB allocated; 20ms collecting garbage

Counts

64 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 cosTheta (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) (sqrt.f32 (PI.f32)))))

Outputs

(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))

Calls

6 calls:

21.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
20.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
19.0ms	cosTheta
16.0ms	c
16.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

Accuracy	Segments	Branch
98.3%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.3%	1	`(+.f32 #s(literal 1 binary32) c)`
98.3%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.3%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.3%	1	`cosTheta`
98.3%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes206.0ms (1.1%)

Memory

8.6MiB live, 155.8MiB allocated; 169ms collecting garbage

Counts

62 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 cosTheta (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))

Outputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))

Calls

6 calls:

121.0ms	cosTheta
21.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
18.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
16.0ms	c
15.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

Accuracy	Segments	Branch
98.3%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.3%	1	`(+.f32 #s(literal 1 binary32) c)`
98.3%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.3%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.3%	1	`cosTheta`
98.3%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes171.0ms (0.9%)

Memory

-25.2MiB live, 119.3MiB allocated; 33ms collecting garbage

Counts

60 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 cosTheta (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) c)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)))

Outputs
(/.f32 cosTheta (fma.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) (fma.f32 c cosTheta cosTheta)))

Calls

6 calls:

90.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
18.0ms	c
18.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
15.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
15.0ms	cosTheta

Results

Accuracy	Segments	Branch
97.9%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.9%	1	`(+.f32 #s(literal 1 binary32) c)`
97.9%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.9%	1	`cosTheta`
97.9%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes101.0ms (0.5%)

Memory

22.0MiB live, 66.3MiB allocated; 10ms collecting garbage

Counts

51 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 cosTheta (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (+.f32 (/.f32 (neg.f32 #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (.f32 (+.f32 #s(literal 1 binary32) c) cosTheta) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Outputs

(/.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32)) (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))

Calls

6 calls:

27.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
16.0ms	c
14.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
13.0ms	cosTheta
13.0ms	(+.f32 #s(literal 1 binary32) c)

Results

Accuracy	Segments	Branch
97.6%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.6%	1	`(+.f32 #s(literal 1 binary32) c)`
97.6%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.6%	1	`cosTheta`
97.6%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes518.0ms (2.7%)

Memory

-4.6MiB live, 42.9MiB allocated; 3ms collecting garbage

Counts

47 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta) (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (/.f32 (.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 cosTheta (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))) (*.f32 cosTheta cosTheta)))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))

Calls

6 calls:

394.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
71.0ms	cosTheta
15.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
13.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
12.0ms	c

Results

Accuracy	Segments	Branch
97.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.2%	1	`cosTheta`
97.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.2%	1	`(+.f32 #s(literal 1 binary32) c)`
97.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.2%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes79.0ms (0.4%)

Memory

-20.3MiB live, 32.8MiB allocated; 10ms collecting garbage

Counts

42 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (fma.f32 (/.f32 cosTheta (sqrt.f32 (PI.f32))) #s(literal -3/2 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))))))

Outputs

(/.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))

Calls

6 calls:

17.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
14.0ms	c
12.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
12.0ms	cosTheta
12.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

Accuracy	Segments	Branch
97.0%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.0%	1	`(+.f32 #s(literal 1 binary32) c)`
97.0%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.0%	1	`cosTheta`
97.0%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes199.0ms (1%)

Memory

8.2MiB live, 54.7MiB allocated; 6ms collecting garbage

Counts

39 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (-.f32 (.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (fma.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 (*.f32 cosTheta cosTheta) #s(literal -3/2 binary32) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))

Calls

6 calls:

71.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
15.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
15.0ms	(+.f32 #s(literal 1 binary32) c)
11.0ms	c
10.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.8%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
96.8%	1	`(+.f32 #s(literal 1 binary32) c)`
96.8%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.8%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.8%	1	`cosTheta`
96.8%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes171.0ms (0.9%)

Memory

36.0MiB live, 36.0MiB allocated; 0ms collecting garbage

Counts

33 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal -3/2 binary32)))) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (/.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta))) (PI.f32)))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 (*.f32 cosTheta #s(literal -3/2 binary32)) (/.f32 (-.f32 cosTheta #s(literal 1 binary32)) cosTheta)) (sqrt.f32 (PI.f32))))))

Calls

6 calls:

80.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
20.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
17.0ms	c
17.0ms	(+.f32 #s(literal 1 binary32) c)
16.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Results

Accuracy	Segments	Branch
96.3%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
96.3%	1	`(+.f32 #s(literal 1 binary32) c)`
96.3%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.3%	1	`c`
96.3%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.3%	1	`cosTheta`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes139.0ms (0.7%)

Memory

-10.7MiB live, 36.2MiB allocated; 5ms collecting garbage

Counts

28 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) cosTheta)))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (* (+ 1 c) cosTheta) (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (-.f32 cosTheta #s(literal 1 binary32))) (neg.f32 (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (PI.f32) cosTheta)))))

Calls

6 calls:

72.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
15.0ms	c
13.0ms	(+.f32 #s(literal 1 binary32) c)
12.0ms	cosTheta
11.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))

Results

Accuracy	Segments	Branch
95.6%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
95.6%	1	`(+.f32 #s(literal 1 binary32) c)`
95.6%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
95.6%	1	`cosTheta`
95.6%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes108.0ms (0.6%)

Memory

-24.9MiB live, 21.9MiB allocated; 5ms collecting garbage

Counts

19 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(approx (- (* cosTheta -3/2) 1) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (/ (- 1 (* cosTheta 2)) (PI))) (* cosTheta (exp (* cosTheta cosTheta)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))

Calls

6 calls:

66.0ms	(+.f32 #s(literal 1 binary32) c)
9.0ms	c
8.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
8.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
7.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
95.2%	1	`cosTheta`
95.2%	1	`c`
95.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
95.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.2%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes31.0ms (0.2%)

Memory

22.2MiB live, 22.2MiB allocated; 0ms collecting garbage

Counts

14 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 (.f32 (.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (/.f32 (.f32 cosTheta cosTheta) cosTheta) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)) (+ 1 c)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 cosTheta cosTheta) (*.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (.f32 (*.f32 cosTheta cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) #s(approx (/ (/ (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (PI)) cosTheta) (/.f32 (sqrt.f32 (PI.f32)) (*.f32 cosTheta (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 #s(approx (/ (- 1 cosTheta) (sqrt (PI))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 #s(approx (+ (* (* (- (* cosTheta -3/2) 1) cosTheta) (sqrt (PI))) (sqrt (PI))) (sqrt.f32 (PI.f32))) (PI.f32)) cosTheta))))

Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))

Calls

6 calls:

5.0ms	c
5.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
5.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
5.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
5.0ms	cosTheta

Results

Accuracy	Segments	Branch
92.8%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
92.8%	1	`cosTheta`
92.8%	1	`c`
92.8%	1	`(+.f32 #s(literal 1 binary32) c)`
92.8%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
92.8%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes73.0ms (0.4%)

Memory

10.2MiB live, 10.2MiB allocated; 0ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Calls

6 calls:

64.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
2.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
2.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
2.0ms	(+.f32 #s(literal 1 binary32) c)
1.0ms	cosTheta

Results

Accuracy	Segments	Branch
4.9%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
4.9%	1	`(+.f32 #s(literal 1 binary32) c)`
4.9%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
4.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
4.9%	1	`cosTheta`
4.9%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

derivations5.0ms (0%)

Memory

3.0MiB live, 3.0MiB allocated; 0ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 236 to 114 computations (51.7% saved)

preprocess194.0ms (1%)

Memory: 1.9MiB live, 145.8MiB allocated; 25ms collecting garbage
Compiler: Compiled 257 to 132 computations (48.6% saved)

end0.0ms (0%)

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

start3.0ms (0%)

analyze46.0ms (0.2%)

sample1.3s (6.8%)

preprocess148.0ms (0.8%)

series524.0ms (2.7%)

rewrite1.6s (8.4%)

eval78.0ms (0.4%)

prune28.0ms (0.1%)

series1.2s (6.4%)

rewrite2.7s (13.8%)

eval417.0ms (2.2%)

prune86.0ms (0.4%)

series1.8s (9.2%)

rewrite2.4s (12.7%)

eval530.0ms (2.7%)

prune94.0ms (0.5%)

series2.3s (12.1%)

rewrite1.5s (7.5%)

eval101.0ms (0.5%)

prune137.0ms (0.7%)

regimes127.0ms (0.7%)

regimes109.0ms (0.6%)

regimes206.0ms (1.1%)

regimes171.0ms (0.9%)

regimes101.0ms (0.5%)

regimes518.0ms (2.7%)

regimes79.0ms (0.4%)

regimes199.0ms (1%)

regimes171.0ms (0.9%)

regimes139.0ms (0.7%)

regimes108.0ms (0.6%)

regimes31.0ms (0.2%)

regimes73.0ms (0.4%)

derivations5.0ms (0%)

preprocess194.0ms (1%)

end0.0ms (0%)

Profiling