Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

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

analyze37.0ms (0.5%)

Memory

-21.9MiB live, 27.4MiB allocated; 24ms 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)

sample3.0s (40.3%)

Memory

794.8MiB live, 2 249.5MiB allocated; 4.2s collecting garbage

Samples

1.1s	8 256×	0	valid
15.0ms	65×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 846.0ms

ival-sqrt: 257.0ms (30.4% of total)

ival-div!: 203.0ms (24% of total)

ival-mult!: 133.0ms (15.7% of total)

ival-add!: 83.0ms (9.8% of total)

ival-exp: 75.0ms (8.9% of total)

ival-sub!: 56.0ms (6.6% of total)

ival-neg: 37.0ms (4.4% of total)

adjust: 1.0ms (0.1% of total)

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

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

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

Bogosity

preprocess72.0ms (1%)

Memory

-44.4MiB live, 54.4MiB allocated; 14ms 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
▶	97.6%	(/.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

▶

97.6%

(/.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)

series49.0ms (0.7%)

Memory

47.0MiB live, 91.4MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	538	5463

Stop Event

1×	iter-limit

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
7.0ms	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))
7.0ms	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))
1.0ms	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))

rewrite302.0ms (4%)

Memory

-57.7MiB live, 305.3MiB allocated; 136ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	126
0	33	126
1	170	117
2	726	110
3	4243	110
0	8158	103

Stop Event

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

Counts

18 → 884

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 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))))
(.f32 #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)))) #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 (/.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)))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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)))) #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 (.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 (neg.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))
(/.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))
(/.f32 #s(literal -2 binary32) (neg.f32 (.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 #s(literal -2 binary32) (neg.f32 (.f32 #s(literal 2 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) (.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 #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)))))
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(/.f32 (sqrt.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (exp.f32 (.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) (exp.f32 (*.f32 cosTheta cosTheta)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (.f32 cosTheta cosTheta)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)) (-.f32 (.f32 (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (exp.f32 (.f32 cosTheta cosTheta))))
(/.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 cosTheta cosTheta)))
(-.f32 (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (neg.f32 (cosh.f32 (.f32 cosTheta cosTheta))))
(-.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta)))
(fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta))) #s(literal 1/2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta)))
(fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 1/2 binary32) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(fma.f32 #s(literal 1 binary32) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 #s(literal 0 binary32) (exp.f32 (.f32 cosTheta cosTheta))))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 cosTheta))) (fabs.f32 cosTheta))
(pow.f32 (exp.f32 (.f32 (.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 2 binary32)) #s(literal 2 binary32))) #s(literal 1/4 binary32))
(pow.f32 (exp.f32 (fabs.f32 cosTheta)) (neg.f32 (fabs.f32 cosTheta)))
(pow.f32 (exp.f32 (*.f32 #s(literal -2 binary32) cosTheta)) (/.f32 cosTheta #s(literal 2 binary32)))
(pow.f32 (exp.f32 (.f32 cosTheta (.f32 #s(literal -2 binary32) cosTheta))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal -1 binary32))
(pow.f32 (exp.f32 cosTheta) (neg.f32 cosTheta))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) cosTheta)
(+.f32 (cosh.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))) (sinh.f32 (-.f32 #s(literal 0 binary32) (.f32 cosTheta cosTheta))))
(+.f32 (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)))
(+.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
(+.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 #s(literal 0 binary32) (exp.f32 (.f32 cosTheta cosTheta))))
(fabs.f32 (-.f32 (neg.f32 (cosh.f32 (.f32 cosTheta cosTheta))) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(fabs.f32 (.f32 #s(literal -1 binary32) (neg.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(fabs.f32 (.f32 #s(literal 1 binary32) (neg.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(fabs.f32 (.f32 #s(literal -1 binary32) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(fabs.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(fabs.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(exp.f32 (+.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta))))
(exp.f32 (+.f32 #s(literal 0 binary32) (*.f32 (neg.f32 cosTheta) cosTheta)))
(exp.f32 (/.f32 (fma.f32 (neg.f32 cosTheta) cosTheta (*.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 2 binary32)))
(exp.f32 (/.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (.f32 (fma.f32 (neg.f32 cosTheta) cosTheta (.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (.f32 (*.f32 (neg.f32 cosTheta) cosTheta) #s(literal 2 binary32)) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal -1 binary32)))
(exp.f32 (*.f32 (-.f32 #s(literal 0 binary32) cosTheta) cosTheta))
(exp.f32 (.f32 (log.f32 (exp.f32 (.f32 cosTheta (*.f32 #s(literal -2 binary32) cosTheta)))) #s(literal 1/2 binary32)))
(exp.f32 (.f32 (log.f32 (exp.f32 (.f32 cosTheta cosTheta))) #s(literal -1 binary32)))
(exp.f32 (-.f32 #s(literal 0 binary32) (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 cosTheta)) (neg.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 cosTheta))) cosTheta))
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(neg.f32 (neg.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(*.f32 (fabs.f32 cosTheta) (neg.f32 (fabs.f32 cosTheta)))
(*.f32 (neg.f32 cosTheta) cosTheta)
(*.f32 cosTheta (neg.f32 cosTheta))
(neg.f32 (*.f32 cosTheta cosTheta))
(neg.f32 cosTheta)

eval96.0ms (1.3%)

Memory: 5.4MiB live, 191.2MiB allocated; 17ms collecting garbage
Compiler: Compiled 16 975 to 5 068 computations (70.1% saved)

prune26.0ms (0.4%)

Memory

14.1MiB live, 61.0MiB allocated; 2ms collecting garbage

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	950	19	969
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	951	19	970

Accuracy

99.9%

Counts

970 → 19

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
▶	97.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	97.9%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 c #s(literal -1 binary32)) cosTheta (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta))
	97.8%	(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
	98.2%	(/.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 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
▶	98.4%	(/.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 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
▶	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))))))
	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7/9 binary32))))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	92.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	95.0%	(/.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 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	52.7%	(/.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)) cosTheta)) #s(literal -1 binary32)) c)) c))
	96.4%	(/.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)))
	95.0%	(/.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)))
	93.1%	(/.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))))))
	97.5%	(.f32 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))))
	89.9%	(exp.f32 (.f32 (log.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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)))
▶	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	95.9%	#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))))))))))
	93.5%	#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 866 to 792 computations (8.5% saved)

series116.0ms (1.5%)

Memory

0.1MiB live, 188.6MiB allocated; 11ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1352	13943

Stop Event

1×	iter-limit

Counts

41 → 219

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable		Point	Expression
26.0ms	cosTheta	@	-inf	((/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (+ 1 c) c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (* cosTheta (sqrt (PI))) (sqrt (PI)) (PI) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 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 (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- c -1) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))
15.0ms	cosTheta	@	inf	((/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (+ 1 c) c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (* cosTheta (sqrt (PI))) (sqrt (PI)) (PI) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 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 (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- c -1) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))
9.0ms	cosTheta	@	0	((/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (+ 1 c) c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (* cosTheta (sqrt (PI))) (sqrt (PI)) (PI) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 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 (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- c -1) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))
4.0ms	c	@	0	((/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (+ 1 c) c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (* cosTheta (sqrt (PI))) (sqrt (PI)) (PI) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 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 (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- c -1) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))
3.0ms	c	@	-inf	((/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (+ 1 c) c (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) cosTheta (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (* cosTheta (sqrt (PI))) (sqrt (PI)) (PI) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 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 (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1))) (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (exp (* (neg cosTheta) cosTheta)) (* (neg cosTheta) cosTheta) (neg cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (- (- 1 cosTheta) cosTheta) (PI)) (- c -1) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))

rewrite493.0ms (6.6%)

Memory

44.1MiB live, 583.9MiB allocated; 157ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	56	445
0	93	441
1	469	407
2	2211	395
0	8297	395

Stop Event

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

Counts

41 → 3 352

Calls

Call 1

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

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

eval314.0ms (4.2%)

Memory: -20.1MiB live, 603.0MiB allocated; 111ms collecting garbage
Compiler: Compiled 52 021 to 11 765 computations (77.4% saved)

prune82.0ms (1.1%)

Memory

2.2MiB live, 146.7MiB allocated; 11ms collecting garbage

Pruning

26 alts after pruning (24 fresh and 2 done)

	Pruned	Kept	Total
New	2 406	22	2 428
Fresh	12	2	14
Picked	3	2	5
Done	0	0	0
Total	2 421	26	2 447

Accuracy

100.0%

Counts

2 447 → 26

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.8%	(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
	98.4%	(/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)))
✓	97.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	95.1%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	95.6%	(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)))
	97.8%	(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
▶	98.4%	(/.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 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
	96.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))))))
	97.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.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)))) cosTheta))))))
▶	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta))))))
	95.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))))))
	95.0%	(/.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 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (PI.f32)) cosTheta))))
	95.0%	(/.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 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
	95.7%	(/.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 (neg.f32 cosTheta) (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (PI.f32) cosTheta)))))
▶	94.9%	(/.f32 #s(literal 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(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))))))
	94.9%	(/.f32 #s(literal 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 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) cosTheta)))))
	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))) #s(approx (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
	96.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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)))
	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
	92.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	95.0%	(.f32 (pow.f32 (-.f32 #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	97.5%	(.f32 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))))
	87.2%	(exp.f32 (.f32 (log.f32 (-.f32 #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c))) #s(literal -1 binary32)))
	95.9%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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))))))))))
▶	93.5%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Compiler

Compiled 1 349 to 1 191 computations (11.7% saved)

series89.0ms (1.2%)

Memory

-3.9MiB live, 180.8MiB allocated; 15ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1266	13372

Stop Event

1×	iter-limit

Counts

43 → 206

Calls

Call 1

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

Outputs
#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 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 (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (fma.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 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1/2 binary32)) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (fma.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 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32))))) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))))))) (fma.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 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))
#s(approx (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) 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 (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) 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)) #s(literal 1 binary32))
#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 cosTheta cosTheta)
#s(approx (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 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 (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))))
#s(approx (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #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 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (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 (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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (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 (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)))))
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#s(approx (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))))
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#s(approx (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32))))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))))))
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#s(approx (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))))))
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#s(approx (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)))))
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#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (*.f32 #s(literal -1 binary32) (/.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)) cosTheta)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))) (.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))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -1 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 (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)))))) (/.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)))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -1 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))))))) (+.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 #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)))))))))
#s(approx (/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta) (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 #s(literal 3/2 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) cosTheta) #s(literal 1 binary32)) cosTheta))))))
#s(approx (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal 3/2 binary32))))
#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (/.f32 (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) (+.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(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 c (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (pow.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))))) (pow.f32 (+.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))) (/.f32 (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) (+.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))))))))
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#s(approx (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.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(approx (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (fma.f32 c (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))))
#s(approx (- c -1) (+.f32 #s(literal 1 binary32) c))
#s(approx c c)
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#s(approx (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) (.f32 #s(literal -1 binary32) (/.f32 (+.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(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (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)) (* (* cosTheta (sqrt (PI))) (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 (+ (+ 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 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta 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
11.0ms	cosTheta	@	-inf	((/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (- c -1) c -1 (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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 (/ (- 1 cosTheta) (sqrt (PI))))) (/ cosTheta (/ (- 1 cosTheta) (sqrt (PI)))) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta) (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) (* cosTheta (- (* -3/2 cosTheta) 1)) (- (* -3/2 cosTheta) 1) (* -3/2 cosTheta) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))
8.0ms	cosTheta	@	inf	((/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (- c -1) c -1 (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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 (/ (- 1 cosTheta) (sqrt (PI))))) (/ cosTheta (/ (- 1 cosTheta) (sqrt (PI)))) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta) (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) (* cosTheta (- (* -3/2 cosTheta) 1)) (- (* -3/2 cosTheta) 1) (* -3/2 cosTheta) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))
4.0ms	cosTheta	@	0	((/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (- c -1) c -1 (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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 (/ (- 1 cosTheta) (sqrt (PI))))) (/ cosTheta (/ (- 1 cosTheta) (sqrt (PI)))) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta) (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) (* cosTheta (- (* -3/2 cosTheta) 1)) (- (* -3/2 cosTheta) 1) (* -3/2 cosTheta) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))
3.0ms	c	@	0	((/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (- c -1) c -1 (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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 (/ (- 1 cosTheta) (sqrt (PI))))) (/ cosTheta (/ (- 1 cosTheta) (sqrt (PI)))) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta) (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) (* cosTheta (- (* -3/2 cosTheta) 1)) (- (* -3/2 cosTheta) 1) (* -3/2 cosTheta) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))
3.0ms	c	@	-inf	((/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) cosTheta (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (- c -1) c -1 (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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 (/ (- 1 cosTheta) (sqrt (PI))))) (/ cosTheta (/ (- 1 cosTheta) (sqrt (PI)))) (/ (- 1 cosTheta) (sqrt (PI))) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) cosTheta) (+ 1 (* cosTheta (- (* -3/2 cosTheta) 1))) (* cosTheta (- (* -3/2 cosTheta) 1)) (- (* -3/2 cosTheta) 1) (* -3/2 cosTheta) -3/2 (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))

rewrite311.0ms (4.2%)

Memory

41.5MiB live, 563.9MiB allocated; 65ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	65	520
0	104	513
1	528	478
2	2022	470
0	8113	442

Stop Event

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

Counts

43 → 1 774

Calls

Call 1

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

Outputs
(.f32 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) (.f32 cosTheta (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 cosTheta (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 c #s(literal -1 binary32)) (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 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (pow.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal -1 binary32) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta (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 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))))
(.f32 (/.f32 cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) cosTheta (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) cosTheta (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 c #s(literal -1 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))))
(.f32 cosTheta (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(.f32 cosTheta (/.f32 #s(literal 1 binary32) (fma.f32 (-.f32 c #s(literal -1 binary32)) cosTheta (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 (.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 2 binary32)))
(/.f32 (.f32 (neg.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 2 binary32)))
(/.f32 (.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32)) (.f32 (neg.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) 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 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 2 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 1 binary32))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (.f32 #s(literal 2 binary32) (neg.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))) (.f32 #s(literal 2 binary32) (neg.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) 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 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (neg.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 1 binary32))) (neg.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (neg.f32 (neg.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))) (neg.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 1 binary32)) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal -2 binary32) (.f32 (neg.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (neg.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))))
(/.f32 (neg.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(/.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 #s(literal 2 binary32) (.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))))))
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (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 #s(literal 1 binary32) (/.f32 (neg.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 1 binary32) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 1 binary32) (/.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) (neg.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))))))
(/.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 (-.f32 c #s(literal -1 binary32)) (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))
(/.f32 cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) cosTheta (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) (.f32 cosTheta (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (/.f32 #s(literal 0 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))))))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 cosTheta (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 #s(literal 0 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 c #s(literal -1 binary32)) (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 #s(literal 0 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (/.f32 #s(literal 0 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.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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(fabs.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(fabs.f32 (exp.f32 (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (fabs.f32 cosTheta))) (fabs.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 cosTheta))) (neg.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 cosTheta)) cosTheta))
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 (pow.f32 (fabs.f32 cosTheta) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 (fabs.f32 cosTheta) (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
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(*.f32 (pow.f32 cosTheta #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 1 binary32)))
(*.f32 (pow.f32 cosTheta #s(literal 1 binary32)) cosTheta)
(*.f32 (pow.f32 cosTheta (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 cosTheta (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (neg.f32 (fabs.f32 cosTheta)))
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(*.f32 (fabs.f32 cosTheta) (fabs.f32 cosTheta))
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(*.f32 cosTheta cosTheta)
(sqrt.f32 (.f32 (.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))
(pow.f32 (neg.f32 (fabs.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 cosTheta)) #s(literal 2 binary32))
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(pow.f32 (neg.f32 cosTheta) #s(literal 2 binary32))
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(pow.f32 cosTheta #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
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cosTheta
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
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(*.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (cbrt.f32 (PI.f32))))
(cbrt.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))
(sqrt.f32 (PI.f32))
(pow.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/3 binary32))
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(pow.f32 (PI.f32) #s(literal 1/2 binary32))
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(exp.f32 (.f32 (log.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/6 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/2 binary32)))
(PI.f32)
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(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (.f32 (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (-.f32 c #s(literal -1 binary32)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
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(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) 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))) cosTheta) (sinh.f32 (*.f32 (neg.f32 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 (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))
(+.f32 (/.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta))) (sqrt.f32 (PI.f32))))
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(*.f32 (sqrt.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (sqrt.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(*.f32 (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))))
(*.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)))
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(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))
(fabs.f32 (*.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 1 binary32)))
(fabs.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(fabs.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(fabs.f32 (neg.f32 (neg.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))))
(fabs.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(exp.f32 (*.f32 (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1/2 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (*.f32 #s(literal -2 binary32) cosTheta))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))) (neg.f32 cosTheta))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 cosTheta (-.f32 cosTheta #s(literal 1 binary32)))) (-.f32 #s(literal 1 binary32) cosTheta))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) (-.f32 #s(literal 1 binary32) cosTheta))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal -2 binary32) cosTheta) #s(literal 1 binary32))) #s(literal 1 binary32))
(.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta cosTheta) #s(literal 1 binary32))) #s(literal 1 binary32))
(*.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))))
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(sqrt.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(/.f32 (fma.f32 (*.f32 #s(literal -2 binary32) cosTheta) #s(literal 2 binary32) #s(literal 2 binary32)) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 (.f32 #s(literal -2 binary32) cosTheta) (.f32 #s(literal -2 binary32) cosTheta)) (.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (-.f32 (*.f32 #s(literal -2 binary32) cosTheta) #s(literal 1 binary32)))
(/.f32 (+.f32 (pow.f32 (.f32 #s(literal -2 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3 binary32))) (fma.f32 (.f32 #s(literal -2 binary32) cosTheta) (.f32 #s(literal -2 binary32) cosTheta) (-.f32 (.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -2 binary32) cosTheta) #s(literal 1 binary32)))))
(/.f32 (+.f32 (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32)) (pow.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32))) (+.f32 (.f32 cosTheta cosTheta) (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (*.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 (neg.f32 (neg.f32 cosTheta)) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (+.f32 (.f32 cosTheta cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (neg.f32 cosTheta))))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (.f32 #s(literal -2 binary32) cosTheta) (.f32 #s(literal -2 binary32) cosTheta))) (-.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
(/.f32 (-.f32 (.f32 cosTheta cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))) (-.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)))
(/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 (.f32 cosTheta cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)))))
(/.f32 (+.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3 binary32)) (pow.f32 (.f32 #s(literal -2 binary32) cosTheta) #s(literal 3 binary32))) (fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (-.f32 (.f32 (.f32 #s(literal -2 binary32) cosTheta) (.f32 #s(literal -2 binary32) cosTheta)) (.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)))))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (+.f32 cosTheta cosTheta) (+.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta cosTheta)) (+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (neg.f32 cosTheta))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta cosTheta)) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta cosTheta)) (+.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(/.f32 (-.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3 binary32)) (pow.f32 (+.f32 cosTheta cosTheta) #s(literal 3 binary32))) (fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (fma.f32 (+.f32 cosTheta cosTheta) (+.f32 cosTheta cosTheta) (*.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta cosTheta (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (neg.f32 cosTheta)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
(fma.f32 #s(literal 2 binary32) (neg.f32 cosTheta) #s(literal 1 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))
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32))
(+.f32 (*.f32 #s(literal -2 binary32) cosTheta) #s(literal 1 binary32))
(+.f32 (neg.f32 cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))
(+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) 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))))
(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 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(neg.f32 (+.f32 #s(literal -1 binary32) (+.f32 cosTheta cosTheta)))
(neg.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (neg.f32 cosTheta)) cosTheta)) cosTheta)
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 cosTheta cosTheta)) cosTheta)
(*.f32 #s(literal 2 binary32) cosTheta)
(*.f32 cosTheta #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (-.f32 cosTheta (neg.f32 (neg.f32 cosTheta))))
(/.f32 (-.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (+.f32 cosTheta (neg.f32 cosTheta)))
(/.f32 (-.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta)) (-.f32 cosTheta cosTheta))
(/.f32 (+.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (neg.f32 (neg.f32 cosTheta)) #s(literal 3 binary32))) (fma.f32 cosTheta cosTheta (-.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta (neg.f32 (neg.f32 cosTheta))))))
(/.f32 (-.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32))) (fma.f32 cosTheta cosTheta (fma.f32 cosTheta cosTheta (*.f32 (neg.f32 cosTheta) cosTheta))))
(/.f32 (+.f32 (pow.f32 cosTheta #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (fma.f32 cosTheta cosTheta (-.f32 (.f32 cosTheta cosTheta) (.f32 cosTheta cosTheta))))
(-.f32 cosTheta (neg.f32 cosTheta))
(+.f32 cosTheta (neg.f32 (neg.f32 cosTheta)))
(+.f32 cosTheta cosTheta)
(neg.f32 (*.f32 #s(literal -2 binary32) cosTheta))
(.f32 (+.f32 #s(literal 1 binary32) (/.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 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 (-.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.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 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))) (-.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (-.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.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 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta)))))))
(/.f32 (+.f32 (pow.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 3 binary32)) (pow.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 3 binary32))) (fma.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 (.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
(fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) 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))))
(+.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 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))

eval387.0ms (5.2%)

Memory: 8.8MiB live, 420.3MiB allocated; 92ms collecting garbage
Compiler: Compiled 48 448 to 9 357 computations (80.7% saved)

prune116.0ms (1.5%)

Memory

-42.4MiB live, 172.5MiB allocated; 111ms collecting garbage

Pruning

37 alts after pruning (33 fresh and 4 done)

	Pruned	Kept	Total
New	1 940	21	1 961
Fresh	7	12	19
Picked	3	2	5
Done	0	2	2
Total	1 950	37	1 987

Accuracy

100.0%

Counts

1 987 → 37

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.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 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.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 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
▶	98.8%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))))
	96.9%	(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))))
	98.1%	(/.f32 cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) cosTheta (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	97.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	95.1%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	96.8%	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32))) (-.f32 #s(literal -1 binary32) c)))
	95.6%	(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)))
	97.8%	(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
✓	98.4%	(/.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 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
▶	95.8%	(/.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 cosTheta (sqrt.f32 (PI.f32))) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (fma.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)) cosTheta))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 #s(literal -3/2 binary32) cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))) cosTheta))))))
	97.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.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)))) cosTheta))))))
▶	96.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)))))))))
	92.6%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #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) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))) (sqrt.f32 (PI.f32))))))
	95.0%	(/.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 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (PI.f32)) cosTheta))))
	95.0%	(/.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 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
	95.4%	(/.f32 #s(literal 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))))))
	95.7%	(/.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 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32)) (.f32 (PI.f32) cosTheta)))))
	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 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))))
	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 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))))
▶	95.5%	(/.f32 #s(literal 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(literal 1 binary32) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))))))
	94.9%	(/.f32 #s(literal 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 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) 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) (/.f32 #s(literal 1 binary32) (sqrt.f32 (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))) #s(approx (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
	51.5%	(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c)) c))
	50.3%	(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) c)) c))
▶	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
	92.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	95.0%	(.f32 (pow.f32 (-.f32 #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	87.2%	(exp.f32 (.f32 (log.f32 (-.f32 #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c))) #s(literal -1 binary32)))
✓	93.5%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Compiler

Compiled 1 924 to 1 667 computations (13.4% saved)

series93.0ms (1.2%)

Memory

20.7MiB live, 209.3MiB allocated; 17ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1361	13743

Stop Event

1×	iter-limit

Counts

45 → 225

Calls

Call 1

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

Outputs
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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 (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) #s(literal 1 binary32))
#s(approx (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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 (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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 (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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 (/ (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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (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 (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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (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 (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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
#s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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 (* (/ cosTheta (- 1 cosTheta)) (sqrt (PI))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (sqrt.f32 (PI.f32))))))
#s(approx (* (/ cosTheta (- 1 cosTheta)) (sqrt (PI))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))))))
#s(approx (* (/ cosTheta (- 1 cosTheta)) (sqrt (PI))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.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 (/ cosTheta (- 1 cosTheta)) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))
#s(approx (/ cosTheta (- 1 cosTheta)) (.f32 cosTheta (+.f32 #s(literal 1 binary32) (.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))))
#s(approx (/ cosTheta (- 1 cosTheta)) (.f32 cosTheta (+.f32 #s(literal 1 binary32) (.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta)))))))
#s(approx (+ cosTheta cosTheta) (*.f32 #s(literal 2 binary32) cosTheta))
#s(approx (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))
#s(approx (* (* cosTheta (sqrt (PI))) (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 (* (* cosTheta (sqrt (PI))) (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 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))))))
#s(approx (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (-.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))))))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 #s(literal 1 binary32) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta))
#s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.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)))) cosTheta))
#s(approx (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1)) (.f32 cosTheta (+.f32 #s(literal 1 binary32) (.f32 cosTheta (+.f32 #s(literal 1 binary32) (*.f32 #s(literal 5/2 binary32) cosTheta))))))
#s(approx (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1)) (.f32 cosTheta (+.f32 #s(literal 1 binary32) (.f32 cosTheta (+.f32 #s(literal 1 binary32) (.f32 cosTheta (+.f32 #s(literal 5/2 binary32) (.f32 #s(literal 4 binary32) cosTheta))))))))
#s(approx (+ (* -3/2 cosTheta) -1) #s(literal -1 binary32))
#s(approx (+ (* -3/2 cosTheta) -1) (-.f32 (*.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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))))))))
#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (-.f32 (fma.f32 #s(literal -1 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))))))) (pow.f32 cosTheta #s(literal 4 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))))))) (.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 (/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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)))))))))))
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#s(approx (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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)) (*.f32 cosTheta (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))
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#s(approx (- 1 cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
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#s(approx (exp (* cosTheta cosTheta)) (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))
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#s(approx (* (/ cosTheta (- 1 cosTheta)) (sqrt (PI))) (fma.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)) (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (/.f32 (sqrt.f32 (PI.f32)) cosTheta)) cosTheta))))
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#s(approx (/ cosTheta (- 1 cosTheta)) (-.f32 (*.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))) cosTheta)) #s(literal 1 binary32)))
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#s(approx (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (-.f32 (fma.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1/8 binary32) (.f32 (pow.f32 cosTheta #s(literal 4 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta)) #s(literal 3 binary32))))))) (/.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (/.f32 #s(literal -2 binary32) cosTheta))))))))
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#s(approx (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) cosTheta)) cosTheta)) #s(literal 3/2 binary32))))
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#s(approx (/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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)))
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#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (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)))
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#s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (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)))))
#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)))
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#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
11.0ms	cosTheta	@	-inf	((/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (- c -1) c -1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ 1 (* cosTheta (sqrt (PI)))) (* 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 (- 1 cosTheta)) (sqrt (PI)))) (* (/ cosTheta (- 1 cosTheta)) (sqrt (PI))) (/ cosTheta (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ 1 (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1))) (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1)) (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1) (+ (* -3/2 cosTheta) -1) -3/2)
8.0ms	cosTheta	@	inf	((/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (- c -1) c -1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ 1 (* cosTheta (sqrt (PI)))) (* 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 (- 1 cosTheta)) (sqrt (PI)))) (* (/ cosTheta (- 1 cosTheta)) (sqrt (PI))) (/ cosTheta (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ 1 (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1))) (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1)) (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1) (+ (* -3/2 cosTheta) -1) -3/2)
3.0ms	cosTheta	@	0	((/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (- c -1) c -1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ 1 (* cosTheta (sqrt (PI)))) (* 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 (- 1 cosTheta)) (sqrt (PI)))) (* (/ cosTheta (- 1 cosTheta)) (sqrt (PI))) (/ cosTheta (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ 1 (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1))) (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1)) (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1) (+ (* -3/2 cosTheta) -1) -3/2)
3.0ms	c	@	0	((/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (- c -1) c -1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ 1 (* cosTheta (sqrt (PI)))) (* 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 (- 1 cosTheta)) (sqrt (PI)))) (* (/ cosTheta (- 1 cosTheta)) (sqrt (PI))) (/ cosTheta (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ 1 (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1))) (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1)) (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1) (+ (* -3/2 cosTheta) -1) -3/2)
3.0ms	c	@	inf	((/ (* (sqrt (PI)) cosTheta) (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))))) (* (sqrt (PI)) cosTheta) (sqrt (PI)) (PI) cosTheta (+ (* (- c -1) (* (sqrt (PI)) cosTheta)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta)))) (- c -1) c -1 (/ (sqrt (- (- 1 cosTheta) cosTheta)) (exp (* cosTheta cosTheta))) (sqrt (- (- 1 cosTheta) cosTheta)) (- (- 1 cosTheta) cosTheta) (- 1 cosTheta) 1 (exp (* cosTheta cosTheta)) (* cosTheta cosTheta) (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ 1 (* cosTheta (sqrt (PI)))) (* 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 (- 1 cosTheta)) (sqrt (PI)))) (* (/ cosTheta (- 1 cosTheta)) (sqrt (PI))) (/ cosTheta (- 1 cosTheta)) (/ 1 (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (+ (+ 1 c) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/ (sqrt (- 1 (+ cosTheta cosTheta))) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (sqrt (- 1 (+ cosTheta cosTheta))) (- 1 (+ cosTheta cosTheta)) (+ cosTheta cosTheta) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (exp (* cosTheta cosTheta)) (/ 1 (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))))) (+ (+ 1 c) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/ 1 (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)))) (/ (sqrt (PI)) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/ 1 (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1))) (/ cosTheta (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1)) (+ (* (+ (* -3/2 cosTheta) -1) cosTheta) 1) (+ (* -3/2 cosTheta) -1) -3/2)

rewrite408.0ms (5.5%)

Memory

12.9MiB live, 485.3MiB allocated; 62ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	66	561
0	108	543
1	545	517
2	2224	509
0	8072	486

Stop Event

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

Counts

45 → 1 385

Calls

Call 1

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

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

eval184.0ms (2.5%)

Memory: 38.4MiB live, 403.0MiB allocated; 56ms collecting garbage
Compiler: Compiled 39 134 to 8 043 computations (79.4% saved)

prune70.0ms (0.9%)

Memory

-14.3MiB live, 173.3MiB allocated; 18ms collecting garbage

Pruning

41 alts after pruning (33 fresh and 8 done)

	Pruned	Kept	Total
New	1 580	11	1 591
Fresh	6	22	28
Picked	1	4	5
Done	0	4	4
Total	1 587	41	1 628

Accuracy

100.0%

Counts

1 628 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	61.5%	(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.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 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.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 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
✓	98.8%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta)))))
	98.1%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) #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)))))))
	98.1%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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))))))
	97.4%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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))))))
	96.0%	(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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))))))
	96.9%	(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))))
	98.1%	(/.f32 cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) cosTheta (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
✓	97.8%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	95.1%	(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	96.8%	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32))) (-.f32 #s(literal -1 binary32) c)))
	95.6%	(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)))
	97.8%	(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
✓	98.4%	(/.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 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (fma.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)) cosTheta))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 #s(literal -3/2 binary32) cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))) cosTheta))))))
	97.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.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)))) cosTheta))))))
✓	96.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)))))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #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) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))) (sqrt.f32 (PI.f32))))))
	95.0%	(/.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 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (PI.f32)) cosTheta))))
	95.0%	(/.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 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
	95.4%	(/.f32 #s(literal 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))))))
	95.4%	(/.f32 #s(literal 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) (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))))))
	95.7%	(/.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 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32)) (.f32 (PI.f32) cosTheta)))))
	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 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))))
	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 #s(literal 1 binary32) (*.f32 (/.f32 (sqrt.f32 (PI.f32)) (-.f32 #s(literal 1 binary32) cosTheta)) cosTheta)))))
✓	95.5%	(/.f32 #s(literal 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(literal 1 binary32) (*.f32 (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (PI.f32)))))))
	95.4%	(/.f32 #s(literal 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(literal 1 binary32) (.f32 #s(approx (/ cosTheta (- 1 cosTheta)) (.f32 cosTheta (+.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))))))
	94.9%	(/.f32 #s(literal 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 cosTheta #s(literal 1 binary32)) (sqrt.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) 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) (/.f32 #s(literal 1 binary32) (sqrt.f32 (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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32)))) (-.f32 #s(literal 1 binary32) cosTheta)))))
	50.3%	(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) c)) c))
	92.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
	92.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
✓	93.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
	92.5%	(.f32 (pow.f32 #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	84.9%	(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal -1 binary32)))
✓	93.5%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))

Compiler

Compiled 2 397 to 1 420 computations (40.8% saved)

regimes118.0ms (1.6%)

Memory

-16.1MiB live, 236.3MiB allocated; 23ms collecting garbage

Counts

74 → 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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.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 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
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(.f32 (pow.f32 #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(.f32 (pow.f32 (-.f32 #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(/.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (fma.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) #s(literal 1 binary32)) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 1/9 binary32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 7/9 binary32))))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(.f32 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.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) #s(literal 2 binary32))))
(/.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.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 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))) (fma.f32 (/.f32 (-.f32 (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.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 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))

Outputs

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

Calls

6 calls:

24.0ms	(+.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))))
19.0ms	c
19.0ms	cosTheta
19.0ms	(.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	(/.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
98.8%	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)))`
98.8%	1	`(+.f32 #s(literal 1 binary32) c)`
98.8%	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))))`
98.8%	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)))))`
98.8%	1	`cosTheta`
98.8%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes115.0ms (1.5%)

Memory

2.2MiB live, 169.7MiB allocated; 32ms 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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.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 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) 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) #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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.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 #s(literal 1 binary32) (.f32 #s(approx (/ cosTheta (- 1 cosTheta)) (.f32 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))) (*.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 cosTheta #s(literal 1 binary32)) (sqrt.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 #s(literal 1 binary32) (*.f32 (/.f32 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))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (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 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32))) (-.f32 #s(literal -1 binary32) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 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))) #s(approx (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) c)) 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 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (/.f32 #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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) 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 cosTheta (sqrt.f32 (PI.f32))) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #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 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (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 (+ ( (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 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 (-.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32)) (.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 (neg.f32 cosTheta) (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (fma.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c)) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)))))))))
(exp.f32 (.f32 (log.f32 (-.f32 #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (+.f32 (.f32 (.f32 #s(literal -3/2 binary32) cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))) cosTheta))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) #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 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.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)))) 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 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) cosTheta (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta 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) (+.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) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 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 cosTheta (sqrt.f32 (PI.f32))) (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 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.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 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 c #s(literal -1 binary32)) cosTheta (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))) cosTheta))

Outputs

(/.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 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))

Calls

6 calls:

23.0ms	(+.f32 #s(literal 1 binary32) c)
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)))))
14.0ms	(+.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))))
14.0ms	(.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
98.4%	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)))`
98.4%	1	`(+.f32 #s(literal 1 binary32) c)`
98.4%	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))))`
98.4%	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)))))`
98.4%	1	`cosTheta`
98.4%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes101.0ms (1.4%)

Memory

35.9MiB live, 125.7MiB allocated; 10ms collecting garbage

Counts

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

Calls

6 calls:

22.0ms	cosTheta
14.0ms	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)))))
14.0ms	(.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	(+.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
98.4%	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)))`
98.4%	1	`(+.f32 #s(literal 1 binary32) c)`
98.4%	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))))`
98.4%	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)))))`
98.4%	1	`cosTheta`
98.4%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes128.0ms (1.7%)

Memory

-25.4MiB live, 138.8MiB allocated; 6ms collecting garbage

Counts

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

Outputs

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

39.0ms	(.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)))
33.0ms	c
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))))
14.0ms	cosTheta
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)))))

Results

Accuracy	Segments	Branch
98.1%	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)))`
98.1%	1	`(+.f32 #s(literal 1 binary32) c)`
98.1%	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))))`
98.1%	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)))))`
98.1%	1	`cosTheta`
98.1%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes74.0ms (1%)

Memory

8.8MiB live, 194.7MiB allocated; 16ms 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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.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 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) 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) #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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.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 #s(literal 1 binary32) (.f32 #s(approx (/ cosTheta (- 1 cosTheta)) (.f32 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))) (*.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 cosTheta #s(literal 1 binary32)) (sqrt.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 #s(literal 1 binary32) (*.f32 (/.f32 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))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (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 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32))) (-.f32 #s(literal -1 binary32) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 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))) #s(approx (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) c)) 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 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (/.f32 #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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) 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 cosTheta (sqrt.f32 (PI.f32))) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #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 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (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 (+ ( (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 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 (-.f32 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal 1 binary32)) (.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 (neg.f32 cosTheta) (sqrt.f32 (PI.f32)) (.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32))) #s(literal 1 binary32)) (*.f32 (PI.f32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (fma.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) cosTheta #s(literal 1 binary32)) cosTheta))))))
(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))) c)) c))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (/.f32 #s(literal 1 binary32) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32)))) cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32)))))))

Outputs

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

15.0ms	(.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)))
13.0ms	cosTheta
13.0ms	(/.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)))))
11.0ms	c
10.0ms	(+.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))))

Results

Accuracy	Segments	Branch
97.4%	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)))`
97.4%	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))))`
97.4%	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)))))`
97.4%	1	`cosTheta`
97.4%	1	`c`
97.4%	1	`(+.f32 #s(literal 1 binary32) c)`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes68.0ms (0.9%)

Memory

-1.3MiB live, 136.1MiB allocated; 30ms 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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.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 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) 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) #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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.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 #s(literal 1 binary32) (.f32 #s(approx (/ cosTheta (- 1 cosTheta)) (.f32 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))) (*.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 cosTheta #s(literal 1 binary32)) (sqrt.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 #s(literal 1 binary32) (*.f32 (/.f32 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))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (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 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta))))))
(/.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (+ ( (- c -1) (* (sqrt (PI)) cosTheta)) (/ (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 #s(literal 1 binary32) (/.f32 cosTheta (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta))) (sqrt.f32 (PI.f32))) (-.f32 #s(literal -1 binary32) c)))
(/.f32 #s(literal 1 binary32) (fma.f32 #s(approx (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (-.f32 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))) #s(approx (/ (+ (* -1 (/ cosTheta (sqrt (PI)))) (/ 1 (sqrt (PI)))) cosTheta) (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) #s(approx ( (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))) c)) 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 (/.f32 #s(literal 1 binary32) cosTheta) (*.f32 (/.f32 #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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) 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 cosTheta (sqrt.f32 (PI.f32))) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) #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 (.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (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 (sqrt.f32 (PI.f32)) (fma.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (-.f32 (fma.f32 #s(literal -3/2 binary32) cosTheta #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) cosTheta)))))

Calls

6 calls:

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)))))
13.0ms	c
13.0ms	(.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))))
8.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.9%	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)))`
96.9%	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))))`
96.9%	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)))))`
96.9%	1	`cosTheta`
96.9%	1	`(+.f32 #s(literal 1 binary32) c)`
96.9%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes45.0ms (0.6%)

Memory

7.4MiB live, 98.7MiB allocated; 7ms collecting garbage

Counts

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

Outputs

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

Calls

6 calls:

11.0ms	cosTheta
7.0ms	(+.f32 #s(literal 1 binary32) c)
6.0ms	c
6.0ms	(+.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))))
6.0ms	(/.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
96.8%	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)

regimes38.0ms (0.5%)

Memory

-2.8MiB live, 97.1MiB allocated; 7ms collecting garbage

Counts

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

Outputs

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

Calls

6 calls:

9.0ms	(/.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)))))
7.0ms	(.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)))
6.0ms	(+.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))))
6.0ms	c
6.0ms	cosTheta

Results

Accuracy	Segments	Branch
96.0%	1	`c`
96.0%	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)))`
96.0%	1	`(+.f32 #s(literal 1 binary32) c)`
96.0%	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))))`
96.0%	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)))))`
96.0%	1	`cosTheta`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes33.0ms (0.4%)

Memory

-2.3MiB live, 91.6MiB allocated; 2ms 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) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.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 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI)))) (- c -1)) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (-.f32 #s(literal 1 binary32) 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) #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) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) cosTheta)) (/.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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.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 #s(literal 1 binary32) (.f32 #s(approx (/ cosTheta (- 1 cosTheta)) (.f32 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))) (*.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 cosTheta #s(literal 1 binary32)) (sqrt.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 #s(literal 1 binary32) (*.f32 (/.f32 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))) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (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 #s(literal 1 binary32) (/.f32 (*.f32 (sqrt.f32 (PI.f32)) cosTheta) (-.f32 #s(literal 1 binary32) 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 (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))) (-.f32 #s(literal 1 binary32) cosTheta)))))

Calls

6 calls:

6.0ms	(+.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 #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	c
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	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 (+.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	`(+.f32 #s(literal 1 binary32) c)`
95.6%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes23.0ms (0.3%)

Memory

13.0MiB live, 62.9MiB allocated; 3ms collecting garbage

Counts

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

Outputs

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

Calls

6 calls:

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)))))
4.0ms	(+.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))))
4.0ms	(.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)))
4.0ms	c
3.0ms	cosTheta

Results

Accuracy	Segments	Branch
95.6%	1	`(+.f32 #s(literal 1 binary32) c)`
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 (+.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)

regimes17.0ms (0.2%)

Memory

-0.4MiB live, 46.7MiB allocated; 1ms collecting garbage

Counts

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

4.0ms	cosTheta
3.0ms	(+.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))))
3.0ms	(/.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)))))
3.0ms	(.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)))
3.0ms	c

Results

Accuracy	Segments	Branch
93.5%	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)))`
93.5%	1	`(+.f32 #s(literal 1 binary32) c)`
93.5%	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))))`
93.5%	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)))))`
93.5%	1	`cosTheta`
93.5%	1	`c`

Compiler

Compiled 60 to 58 computations (3.3% saved)

regimes7.0ms (0.1%)

Memory

-21.4MiB live, 25.7MiB allocated; 1ms 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:

2.0ms	(+.f32 #s(literal 1 binary32) c)
1.0ms	(/.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)))))
1.0ms	(.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)))
1.0ms	(+.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))))
1.0ms	c

Results

Accuracy	Segments	Branch
5.0%	1	`c`
5.0%	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)))`
5.0%	1	`(+.f32 #s(literal 1 binary32) c)`
5.0%	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))))`
5.0%	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)))))`
5.0%	1	`cosTheta`

Compiler

Compiled 60 to 58 computations (3.3% saved)

derivations383.0ms (5.1%)

Memory

-1.6MiB live, 383.3MiB allocated; 140ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 224 to 99 computations (55.8% saved)

preprocess73.0ms (1%)

Memory: 8.1MiB live, 195.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 245 to 117 computations (52.2% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze37.0ms (0.5%)

sample3.0s (40.3%)

preprocess72.0ms (1%)

series49.0ms (0.7%)

rewrite302.0ms (4%)

eval96.0ms (1.3%)

prune26.0ms (0.4%)

series116.0ms (1.5%)

rewrite493.0ms (6.6%)

eval314.0ms (4.2%)

prune82.0ms (1.1%)

series89.0ms (1.2%)

rewrite311.0ms (4.2%)

eval387.0ms (5.2%)

prune116.0ms (1.5%)

series93.0ms (1.2%)

rewrite408.0ms (5.5%)

eval184.0ms (2.5%)

prune70.0ms (0.9%)

regimes118.0ms (1.6%)

regimes115.0ms (1.5%)

regimes101.0ms (1.4%)

regimes128.0ms (1.7%)

regimes74.0ms (1%)

regimes68.0ms (0.9%)

regimes45.0ms (0.6%)

regimes38.0ms (0.5%)

regimes33.0ms (0.4%)

regimes23.0ms (0.3%)

regimes17.0ms (0.2%)

regimes7.0ms (0.1%)

derivations383.0ms (5.1%)

preprocess73.0ms (1%)

end0.0ms (0%)

Profiling