Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

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

analyze28.0ms (0.6%)

Memory

-17.0MiB live, 27.6MiB allocated; 14ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample1.0s (21.1%)

Memory

42.4MiB live, 1 188.0MiB allocated; 312ms collecting garbage

Samples

732.0ms	8 253×	0	valid
6.0ms	69×	0	invalid
1.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 530.0ms

ival-add!: 105.0ms (19.8% of total)

ival-mult!: 101.0ms (19% of total)

ival-div!: 87.0ms (16.4% of total)

ival-sub!: 72.0ms (13.6% of total)

ival-exp: 66.0ms (12.4% of total)

ival-sqrt: 60.0ms (11.3% of total)

ival-neg: 36.0ms (6.8% of total)

adjust: 2.0ms (0.4% of total)

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

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

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

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

Bogosity

preprocess31.0ms (0.6%)

Memory

-2.2MiB live, 42.3MiB allocated; 7ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(/.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

▶

98.0%

(/.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 50 to 36 computations (28% saved)

series59.0ms (1.2%)

Memory

36.4MiB live, 89.2MiB allocated; 12ms 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
7.0ms	cosTheta	-inf
7.0ms	cosTheta	inf
3.0ms	cosTheta	0
2.0ms	c	0
1.0ms	c	inf

rewrite129.0ms (2.7%)

Memory

-60.6MiB live, 197.9MiB allocated; 46ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

18 → 550

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

eval62.0ms (1.3%)

Memory: 27.1MiB live, 118.4MiB allocated; 9ms collecting garbage
Compiler: Compiled 23 736 to 3 292 computations (86.1% saved)

prune29.0ms (0.6%)

Memory

-4.8MiB live, 48.1MiB allocated; 7ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	612	23	635
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	613	23	636

Accuracy

99.7%

Counts

636 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.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))))
	98.1%	(/.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))))
	98.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	98.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
	98.1%	(/.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)))))
	98.6%	(/.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)))))
▶	98.7%	(/.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))))))
	98.6%	(/.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))))))
▶	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
▶	90.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	94.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
▶	98.1%	(/.f32 #s(literal 1 binary32) (.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))))
	58.4%	(/.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))
	95.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	94.3%	(/.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)))
	91.3%	(/.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))))))
	58.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))))))))
	97.8%	(.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))))
	90.4%	(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)))
▶	5.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	96.7%	#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))))))))))
	96.0%	#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))))))))))
	91.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))

Compiler

Compiled 1 650 to 1 046 computations (36.6% saved)

series176.0ms (3.7%)

Memory

-1.5MiB live, 181.5MiB allocated; 34ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1913	24039

Stop Event

1×	iter-limit

Counts

42 → 315

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

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

Calls

6 calls:

Time	Variable	Point
23.0ms	cosTheta	-inf
22.0ms	cosTheta	inf
11.0ms	cosTheta	0
10.0ms	c	-inf
7.0ms	c	0

rewrite162.0ms (3.4%)

Memory

0.6MiB live, 187.2MiB allocated; 23ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	451
0	94	442
1	452	430
2	2216	417
0	4409	417

Stop Event

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

Counts

42 → 1 491

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

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

eval223.0ms (4.7%)

Memory: -26.4MiB live, 327.7MiB allocated; 156ms collecting garbage
Compiler: Compiled 64 697 to 8 094 computations (87.5% saved)

prune46.0ms (1%)

Memory

17.8MiB live, 117.4MiB allocated; 10ms collecting garbage

Pruning

29 alts after pruning (28 fresh and 1 done)

	Pruned	Kept	Total
New	1 569	20	1 589
Fresh	10	8	18
Picked	4	1	5
Done	0	0	0
Total	1 583	29	1 612

Accuracy

100.0%

Counts

1 612 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (/.f32 (-.f32 c #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 c #s(literal -1 binary32)))
▶	98.2%	(/.f32 (-.f32 c #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)))) (-.f32 c #s(literal -1 binary32))))
▶	98.7%	(/.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))))
	98.1%	(/.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))))
▶	98.1%	(/.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))))
	98.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	98.6%	(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
▶	91.0%	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)))
	98.1%	(/.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)))))
	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
	90.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
	95.3%	(/.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))))))
	98.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (sqrt.f32 (*.f32 (PI.f32) (PI.f32)))))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (*.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))))))))
	91.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	94.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* 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))))
	98.1%	(/.f32 #s(literal 1 binary32) (.f32 (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) c)) #s(literal 1 binary32)) (-.f32 c #s(literal -1 binary32))))
	90.5%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32))))
	58.4%	(/.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))
	90.7%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ 1 (/ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) ( (exp (* cosTheta cosTheta)) cosTheta)) (- c -1))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) c)))) (-.f32 c #s(literal -1 binary32))))
	95.9%	(/.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)))
	94.3%	(/.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) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	91.3%	(/.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))))))
	90.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	90.5%	(.f32 (pow.f32 (-.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (exp.f32 (.f32 cosTheta 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 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	97.8%	(.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))))
	90.4%	(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)))
▶	91.4%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	5.2%	#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 1 697 to 1 149 computations (32.3% saved)

series125.0ms (2.6%)

Memory

5.2MiB live, 185.5MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1713	18692

Stop Event

1×	iter-limit

Counts

37 → 266

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

Calls

6 calls:

Time	Variable	Point
16.0ms	cosTheta	-inf
12.0ms	cosTheta	inf
5.0ms	cosTheta	0
4.0ms	c	0
4.0ms	c	-inf

rewrite195.0ms (4.1%)

Memory

38.4MiB live, 256.8MiB allocated; 44ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	50	378
0	84	386
1	440	372
2	1820	369
0	4123	369

Stop Event

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

Counts

37 → 1 384

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

eval234.0ms (4.9%)

Memory: -1.0MiB live, 271.5MiB allocated; 116ms collecting garbage
Compiler: Compiled 75 113 to 7 841 computations (89.6% saved)

prune812.0ms (16.9%)

Memory

-125.1MiB live, 120.8MiB allocated; 1.3s collecting garbage

Pruning

33 alts after pruning (30 fresh and 3 done)

	Pruned	Kept	Total
New	1 714	21	1 735
Fresh	14	9	23
Picked	3	2	5
Done	0	1	1
Total	1 731	33	1 764

Accuracy

100.0%

Counts

1 764 → 33

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (/.f32 (-.f32 c #s(literal -1 binary32)) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (-.f32 #s(literal -1 binary32) c))
	94.6%	(/.f32 (-.f32 c #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 #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32)) cosTheta)))) (-.f32 c #s(literal -1 binary32))))
	90.8%	(/.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (-.f32 c #s(approx (- -1 (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) ( (exp (* cosTheta cosTheta)) cosTheta))) (*.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) (-.f32 c #s(literal -1 binary32))))
	90.7%	(/.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (* (- c (- -1 (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)))) (- c -1)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c)) cosTheta)))
	97.1%	(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #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))))))
▶	96.3%	(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #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))))))
	95.1%	(/.f32 (.f32 #s(approx (exp ( cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (fma.f32 (.f32 #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
	98.1%	(/.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))))
	98.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (sqrt.f32 (.f32 (PI.f32) (PI.f32)))) (-.f32 c #s(literal -1 binary32))))
✓	98.1%	(/.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))))
	98.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))))) (-.f32 c #s(literal -1 binary32))))
	98.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	94.5%	(/.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))))
	90.9%	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta) (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)))
	90.9%	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 #s(approx (exp ( cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)))
	95.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (-.f32 #s(literal -1 binary32) c)))
	94.3%	(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) 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 #s(literal -1 binary32) c)))
▶	98.1%	(/.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)))))
	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
	95.3%	(/.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))))))
	91.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) cosTheta))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	58.4%	(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.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))) c)) c))
	90.5%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32))))
	90.7%	(/.f32 #s(literal 1 binary32) (.f32 #s(approx (+ 1 (/ (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) ( (exp (* cosTheta cosTheta)) cosTheta)) (- c -1))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 cosTheta (+.f32 #s(literal 1 binary32) c)))) (-.f32 c #s(literal -1 binary32))))
	94.3%	(/.f32 #s(literal 1 binary32) #s(approx (- (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) (- -1 c)) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
▶	91.3%	(/.f32 #s(literal 1 binary32) #s(approx (- (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) (- -1 c)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
	90.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (/ (exp (* (neg cosTheta) cosTheta)) cosTheta) (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))))) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))
	90.5%	(.f32 (pow.f32 (-.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	98.2%	(.f32 (/.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)))) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32)))
▶	98.7%	(.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
▶	94.8%	#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))))))))
✓	91.4%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	5.2%	#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 2 027 to 1 389 computations (31.5% saved)

series168.0ms (3.5%)

Memory

3.6MiB live, 177.4MiB allocated; 55ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1668	17614

Stop Event

1×	iter-limit

Counts

46 → 286

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
37.0ms	c	inf
10.0ms	cosTheta	0
8.0ms	cosTheta	-inf
7.0ms	cosTheta	inf
4.0ms	c	-inf

rewrite190.0ms (4%)

Memory

23.7MiB live, 258.7MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	564
0	104	557
1	532	553
2	2027	548
0	4687	534

Stop Event

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

Counts

46 → 1 035

Calls

Call 1

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

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

eval210.0ms (4.4%)

Memory: 9.5MiB live, 333.2MiB allocated; 87ms collecting garbage
Compiler: Compiled 75 659 to 8 981 computations (88.1% saved)

prune53.0ms (1.1%)

Memory

-1.5MiB live, 99.6MiB allocated; 13ms collecting garbage

Pruning

38 alts after pruning (33 fresh and 5 done)

	Pruned	Kept	Total
New	1 551	19	1 570
Fresh	11	14	25
Picked	3	2	5
Done	0	3	3
Total	1 565	38	1 603

Accuracy

100.0%

Counts

1 603 → 38

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.1%	(/.f32 (/.f32 (-.f32 c #s(literal -1 binary32)) (-.f32 (-.f32 #s(literal -1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (-.f32 #s(literal -1 binary32) c))
	94.6%	(/.f32 (-.f32 c #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 #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32)) cosTheta)))) (-.f32 c #s(literal -1 binary32))))
	90.8%	(/.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (-.f32 c #s(approx (- -1 (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) ( (exp (* cosTheta cosTheta)) cosTheta))) (*.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))) (-.f32 c #s(literal -1 binary32))))
	90.7%	(/.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (* (- c (- -1 (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)))) (- c -1)) (/.f32 (*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (+.f32 #s(literal 1 binary32) c)) cosTheta)))
	97.1%	(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #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))))))
	95.1%	(/.f32 (.f32 #s(approx (exp ( cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (fma.f32 (.f32 #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
	95.1%	(/.f32 (.f32 #s(approx (exp ( cosTheta cosTheta)) #s(literal 1 binary32)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #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))))))
	98.1%	(/.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))))
	98.3%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (sqrt.f32 (.f32 (PI.f32) (PI.f32)))) (-.f32 c #s(literal -1 binary32))))
✓	98.1%	(/.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))))
	94.5%	(/.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))))
	90.9%	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) #s(literal 1 binary32)) (.f32 #s(approx (exp ( cosTheta cosTheta)) #s(literal 1 binary32)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))) (-.f32 #s(literal -1 binary32) c)))
	95.9%	(/.f32 #s(literal 1 binary32) (-.f32 #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)) (-.f32 #s(literal -1 binary32) c)))
	98.3%	(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (/.f32 (sqrt.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (sqrt.f32 (.f32 (PI.f32) (PI.f32)))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
✓	98.1%	(/.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)))))
	94.6%	(/.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 #s(approx (exp ( cosTheta cosTheta)) #s(literal 1 binary32)) cosTheta)))))
	98.1%	(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
	98.7%	(/.f32 #s(literal 1 binary32) (-.f32 c (-.f32 #s(literal -1 binary32) (/.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 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))))
	90.7%	(/.f32 #s(literal 1 binary32) (-.f32 c #s(approx (- -1 (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))) (*.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta)))))
	58.4%	(/.f32 #s(literal 1 binary32) (.f32 (-.f32 #s(literal 1 binary32) (/.f32 (-.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))) c)) c))
	90.5%	(/.f32 #s(literal 1 binary32) (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32))))
	91.3%	(/.f32 #s(literal 1 binary32) #s(approx (- (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) (- -1 c)) (/.f32 (/.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32)))))
	91.3%	(/.f32 #s(literal 1 binary32) #s(approx (- (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) (- -1 c)) (/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 #s(literal 1 binary32) cosTheta)))))
✓	91.3%	(/.f32 #s(literal 1 binary32) #s(approx (- (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) (- -1 c)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
	90.8%	(.f32 (pow.f32 #s(approx (- (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) (- -1 c)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 #s(approx (- (/ (sqrt (- (- 1 cosTheta) cosTheta)) ( (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta))) (- -1 c)) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	98.2%	(.f32 (/.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)))) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32)))
	95.2%	(.f32 (.f32 (sqrt.f32 (PI.f32)) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))) (/.f32 cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
	96.3%	(.f32 (sqrt.f32 (PI.f32)) (/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta) #s(approx (+ ( (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (fma.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) #s(literal -1 binary32))) cosTheta #s(literal 1 binary32)))))
	94.8%	#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (fma.f32 (sqrt.f32 (PI.f32)) cosTheta (.f32 (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) cosTheta)))
	94.8%	#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (.f32 (*.f32 cosTheta (fma.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32)) #s(literal -1 binary32))) (sqrt.f32 (PI.f32)))) cosTheta))
	94.8%	#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (.f32 cosTheta (/.f32 (-.f32 (pow.f32 (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) (fma.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))) (neg.f32 (sqrt.f32 (PI.f32)))))))))
	94.6%	#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)) #s(approx (- (* (sqrt (PI)) (+ 1 c)) 1) (-.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))))))))
	94.5%	#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (.f32 cosTheta (.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))))) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (-.f32 #s(literal 1 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (PI.f32))))))))
	94.5%	#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (.f32 cosTheta #s(approx (+ (sqrt (PI)) ( -1 (* cosTheta (* (sqrt (PI)) (- (* (sqrt (PI)) (+ 1 c)) 1))))) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) (/.f32 (sqrt.f32 (PI.f32)) cosTheta))))))
	94.7%	#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) #s(approx (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (sqrt (PI)) (- (* (sqrt (PI)) (+ 1 c)) 1)))))) (.f32 c (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32))))))) c)))))
✓	91.4%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	5.2%	#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 1 459 to 913 computations (37.4% saved)

regimes672.0ms (14%)

Memory

35.9MiB live, 1 106.2MiB allocated; 146ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

12 → 1

14 → 1

27 → 1

30 → 1

36 → 1

45 → 1

74 → 1

75 → 1

84 → 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))

Call 2

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

Call 3

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

Outputs

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

Call 4

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

Outputs

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

Call 5

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

Outputs

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

Call 6

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

Outputs

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

Call 7

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

Outputs

(/.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)))))

Call 8

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

Outputs

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

Call 9

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

Outputs

(/.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))))

Call 10

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

Outputs

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

Calls

60 calls:

42.0ms	(+.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))))
26.0ms	(+.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))))
22.0ms	cosTheta
22.0ms	(.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)))
22.0ms	c

Results

Accuracy	Segments	Branch
5.2%	1	`(+.f32 #s(literal 1 binary32) c)`
5.2%	1	`c`
5.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
5.2%	1	`cosTheta`
5.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
5.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
91.4%	1	`(+.f32 #s(literal 1 binary32) c)`
91.4%	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)))))`
91.4%	1	`cosTheta`
91.4%	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)))`
91.4%	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))))`
91.4%	1	`c`
94.6%	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)))))`
94.6%	1	`cosTheta`
94.6%	1	`c`
94.6%	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)))`
94.6%	1	`(+.f32 #s(literal 1 binary32) c)`
94.6%	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))))`
94.8%	1	`c`
94.8%	1	`(+.f32 #s(literal 1 binary32) c)`
94.8%	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)))))`
94.8%	1	`cosTheta`
94.8%	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)))`
94.8%	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))))`
95.1%	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)))))`
95.1%	1	`cosTheta`
95.1%	1	`(+.f32 #s(literal 1 binary32) c)`
95.1%	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)))`
95.1%	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))))`
95.1%	1	`c`
95.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
95.2%	1	`(+.f32 #s(literal 1 binary32) c)`
95.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
95.2%	1	`cosTheta`
95.2%	1	`c`
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`
98.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.7%	1	`cosTheta`
98.7%	1	`c`
98.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.7%	1	`cosTheta`
98.7%	1	`c`
98.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.7%	1	`cosTheta`
98.7%	1	`c`

Compiler

Compiled 3 819 to 1 046 computations (72.6% saved)

derivations129.0ms (2.7%)

Memory

-88.8MiB live, 86.6MiB allocated; 42ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 345 to 94 computations (72.8% saved)

preprocess52.0ms (1.1%)

Memory: -23.1MiB live, 119.7MiB allocated; 12ms collecting garbage
Compiler: Compiled 370 to 112 computations (69.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze28.0ms (0.6%)

sample1.0s (21.1%)

preprocess31.0ms (0.6%)

series59.0ms (1.2%)

rewrite129.0ms (2.7%)

eval62.0ms (1.3%)

prune29.0ms (0.6%)

series176.0ms (3.7%)

rewrite162.0ms (3.4%)

eval223.0ms (4.7%)

prune46.0ms (1%)

series125.0ms (2.6%)

rewrite195.0ms (4.1%)

eval234.0ms (4.9%)

prune812.0ms (16.9%)

series168.0ms (3.5%)

rewrite190.0ms (4%)

eval210.0ms (4.4%)

prune53.0ms (1.1%)

regimes672.0ms (14%)

derivations129.0ms (2.7%)

preprocess52.0ms (1.1%)

end0.0ms (0%)

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