Metrics for Beckmann Sample, normalization factor

start0.0ms (0.0%)

Memory: 0.2MiB live, 0.3MiB allocated; 0ms collecting garbage

analyze22.0ms (0.3%)

Memory

19.3MiB live, 50.4MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0.0%	0.0%	12.3%	87.7%	0.0%	0.0%	0.0%	0
0.0%	0.0%	12.3%	87.7%	0.0%	0.0%	0.0%	1
50.0%	6.2%	6.2%	87.7%	0.0%	0.0%	0.0%	2
50.0%	6.2%	6.2%	87.7%	0.0%	0.0%	0.0%	3
75.0%	9.2%	3.1%	87.7%	0.0%	0.0%	0.0%	4
75.0%	9.2%	3.1%	87.7%	0.0%	0.0%	0.0%	5
87.5%	10.8%	1.5%	87.7%	0.0%	0.0%	0.0%	6
87.5%	10.8%	1.5%	87.7%	0.0%	0.0%	0.0%	7
93.8%	11.5%	0.8%	87.7%	0.0%	0.0%	0.0%	8
93.8%	11.5%	0.8%	87.7%	0.0%	0.0%	0.0%	9
96.9%	11.9%	0.4%	87.7%	0.0%	0.0%	0.0%	10
96.9%	11.9%	0.4%	87.7%	0.0%	0.0%	0.0%	11
98.4%	12.1%	0.2%	87.7%	0.0%	0.0%	0.0%	12

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample1.4s (20.6%)

Memory

51.2MiB live, 12 175.9MiB allocated; 598ms collecting garbage

Samples

1.0s	8 252×	0	valid
13.0ms	57×	0	invalid
1.0ms	4×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 750.0ms

ival-mult!: 198.0ms (26.4% of total)

ival-exp: 124.0ms (16.5% of total)

ival-div!: 117.0ms (15.6% of total)

ival-sqrt: 101.0ms (13.5% of total)

ival-add!: 72.0ms (9.6% of total)

ival-sub!: 68.0ms (9.1% of total)

ival-neg: 66.0ms (8.8% of total)

adjust: 2.0ms (0.3% of total)

ival-and: 1.0ms (0.1% of total)

ival-<: 1.0ms (0.1% of total)

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

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

Bogosity

preprocess34.0ms (0.5%)

Memory

4.4MiB live, 197.5MiB allocated; 8ms 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
▶	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Status

Accuracy

Program

▶

97.8%

(/.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 (28.0% saved)

sample0.0ms (0.0%)

Memory

4.4MiB live, 4.4MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
(/ 1 (sqrt (PI)))
(sqrt (PI))
(PI)

Outputs
#s(literal 1 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal 14868421/8388608 binary32)
#s(literal 13176795/4194304 binary32)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 6 computations (40.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series76.0ms (1.1%)

Memory

-1.6MiB live, 771.9MiB allocated; 28ms 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
15.0ms	cosTheta	-inf
10.0ms	cosTheta	inf
4.0ms	cosTheta	0
3.0ms	c	-inf
3.0ms	c	0

rewrite1.3s (18.4%)

Memory

-271.0MiB live, 973.9MiB allocated; 3.0s 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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(/.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)))
(sqrt.f32 (exp.f32 (.f32 (.f32 (neg.f32 cosTheta) cosTheta) #s(literal 2 binary32))))
(-.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)

eval148.0ms (2.1%)

Memory: -28.0MiB live, 1 175.9MiB allocated; 51ms collecting garbage
Compiler: Compiled 23 807 to 3 310 computations (86.1% saved)

prune27.0ms (0.4%)

Memory

31.1MiB live, 225.5MiB allocated; 7ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	621	17	638
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	622	17	639

Accuracy

99.8%

Counts

639 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.9%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
	97.9%	(/.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)))))
	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
▶	98.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
	97.7%	(/.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 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	90.8%	(/.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)))))
▶	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	96.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	95.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	91.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
	97.7%	(.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))))
	98.3%	#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))))))))
▶	5.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	97.8%	#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))))))))))
▶	95.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
	91.9%	#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 1 354 to 822 computations (39.3% saved)

sample0.0ms (0.0%)

Memory

4.2MiB live, 4.2MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
(sqrt (PI))
(PI)
-1
(/ 1 (sqrt (PI)))
9465531/16777216
(pow (sqrt (PI)) 2)
2

Outputs
#s(literal 1 binary32)
#s(literal 14868421/8388608 binary32)
#s(literal 13176795/4194304 binary32)
#s(literal -1 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal 13176795/4194304 binary32)
#s(literal 2 binary32)

Samples

0.0ms

1×

valid

Compiler

Compiled 17 to 10 computations (41.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series163.0ms (2.3%)

Memory

-8.4MiB live, 1 534.5MiB allocated; 57ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1280	13858

Stop Event

1×	iter-limit

Counts

44 → 240

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(+.f32 #s(literal 1 binary32) c)
c
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
#s(literal -1 binary32)
(/.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.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) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
#s(literal 9465531/16777216 binary32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
(+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
(*.f32 (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)))))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))

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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Calls

6 calls:

Time	Variable	Point
19.0ms	cosTheta	-inf
17.0ms	c	0
15.0ms	cosTheta	inf
14.0ms	cosTheta	0
6.0ms	c	inf

rewrite236.0ms (3.4%)

Memory

-5.1MiB live, 1 537.9MiB allocated; 78ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	506
0	95	481
1	441	434
2	2201	426
0	4530	421

Stop Event

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

Counts

44 → 1 035

Calls

Call 1

Inputs
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
#s(literal 1 binary32)
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))))
(+.f32 #s(literal 1 binary32) c)
c
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.f32))
(PI.f32)
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
(/.f32 #s(literal 1 binary32) c)
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
#s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
(/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)
(fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
#s(literal -1 binary32)
(/.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.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) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(*.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))
#s(literal 9465531/16777216 binary32)
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
(.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))
(+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))
(.f32 #s(literal -1 binary32) (.f32 cosTheta (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
(*.f32 (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)))))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
#s(literal 2 binary32)
(-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))

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 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
(/.f32 (neg.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))) #s(literal -2 binary32))
(/.f32 (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))))) #s(literal 2 binary32))
(/.f32 #s(literal -2 binary32) (neg.f32 (.f32 #s(literal 2 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))))))
(/.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (neg.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))))))
(/.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 #s(literal 2 binary32) (neg.f32 (.f32 #s(literal 2 binary32) (neg.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))))
(/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 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 #s(literal 1 binary32) (/.f32 (neg.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))))
(pow.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
(neg.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))))))
(neg.f32 (/.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
#s(literal 1 binary32)
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 (-.f32 c #s(literal -1 binary32)) (/.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))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) c) #s(literal 1 binary32))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32)))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) cosTheta (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) cosTheta))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (neg.f32 (sqrt.f32 (PI.f32))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 #s(literal -1 binary32) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (sqrt.f32 (PI.f32)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 #s(literal 1 binary32) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) cosTheta (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) cosTheta))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (neg.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))) (.f32 (.f32 (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)))))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (neg.f32 (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (sqrt.f32 (PI.f32)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (sqrt.f32 (PI.f32))))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (.f32 (neg.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta)))))
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(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))
(.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
(.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
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(/.f32 (neg.f32 (.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 (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 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (neg.f32 (.f32 #s(literal 1 binary32) (.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)))) (neg.f32 (sqrt.f32 (PI.f32))))
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(/.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)))
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(/.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) 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))
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(/.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))
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(/.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 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))
(/.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 (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 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (.f32 (exp.f32 (.f32 cosTheta 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 (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 (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)) (*.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))))
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(neg.f32 (/.f32 (neg.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta)) (exp.f32 (*.f32 cosTheta cosTheta))))
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(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(/.f32 (neg.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) #s(literal -2 binary32))
(/.f32 (fabs.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 2 binary32))
(sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1/2 binary32))
(fabs.f32 (*.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 1 binary32)))
(fabs.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(fabs.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(fabs.f32 (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(fabs.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(fabs.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(exp.f32 (*.f32 (log.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1/2 binary32)))
(neg.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
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(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (+.f32 cosTheta cosTheta) #s(literal 1 binary32))) #s(literal 1 binary32))
(.f32 (.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (*.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) (-.f32 #s(literal 1 binary32) cosTheta))
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(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (+.f32 cosTheta cosTheta) (+.f32 cosTheta cosTheta))) (+.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))
(/.f32 (+.f32 (pow.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 (neg.f32 cosTheta) #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 (.f32 cosTheta cosTheta) (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)))))
(/.f32 (-.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3 binary32)) (pow.f32 (+.f32 cosTheta cosTheta) #s(literal 3 binary32))) (fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (fma.f32 (+.f32 cosTheta cosTheta) (+.f32 cosTheta cosTheta) (*.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta cosTheta)) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta)))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta)) (.f32 cosTheta cosTheta)) (+.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(/.f32 (-.f32 (pow.f32 (-.f32 #s(literal 1 binary32) cosTheta) #s(literal 3 binary32)) (pow.f32 cosTheta #s(literal 3 binary32))) (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (-.f32 #s(literal 1 binary32) cosTheta) (fma.f32 cosTheta cosTheta (*.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(sqrt.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (neg.f32 cosTheta)))
(-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))
(fma.f32 #s(literal -1 binary32) cosTheta (-.f32 #s(literal 1 binary32) cosTheta))
(fma.f32 cosTheta #s(literal -1 binary32) (-.f32 #s(literal 1 binary32) cosTheta))
(pow.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) #s(literal 2 binary32))
(pow.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32))
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(+.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 cosTheta))
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(+.f32 #s(literal 1 binary32) (-.f32 (neg.f32 cosTheta) cosTheta))
(+.f32 #s(literal 1 binary32) (neg.f32 (+.f32 cosTheta cosTheta)))
(fabs.f32 (*.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(fabs.f32 (*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(fabs.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(neg.f32 (-.f32 (+.f32 cosTheta cosTheta) #s(literal 1 binary32)))
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(/.f32 (-.f32 (.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 cosTheta cosTheta)) (-.f32 #s(literal 1 binary32) (neg.f32 cosTheta)))
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(-.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 cosTheta)))
(-.f32 #s(literal 1 binary32) cosTheta)
(fma.f32 #s(literal -1 binary32) cosTheta #s(literal 1 binary32))
(fma.f32 cosTheta #s(literal -1 binary32) #s(literal 1 binary32))
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(neg.f32 (+.f32 #s(literal -1 binary32) cosTheta))
(neg.f32 (-.f32 cosTheta #s(literal 1 binary32)))
cosTheta
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) cosTheta)
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))
(fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (*.f32 cosTheta cosTheta))))
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(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (neg.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
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(*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (cbrt.f32 (PI.f32)))
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(*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 1/2 binary32)))
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(cbrt.f32 (*.f32 (sqrt.f32 (PI.f32)) (PI.f32)))
(sqrt.f32 (PI.f32))
(pow.f32 (*.f32 (sqrt.f32 (PI.f32)) (PI.f32)) #s(literal 1/3 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/6 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/4 binary32))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(fabs.f32 (neg.f32 (sqrt.f32 (PI.f32))))
(fabs.f32 (sqrt.f32 (PI.f32)))
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(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/2 binary32)))
(PI.f32)
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(/.f32 (neg.f32 (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) #s(literal -1 binary32))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) #s(literal -1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (-.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (-.f32 c #s(literal -1 binary32))) (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (+.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(/.f32 (-.f32 (pow.f32 (-.f32 c #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) (fma.f32 (-.f32 c #s(literal -1 binary32)) (-.f32 c #s(literal -1 binary32)) (fma.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (*.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32)) #s(literal -1 binary32))))
(-.f32 (/.f32 (*.f32 (sqrt.f32 (PI.f32)) (-.f32 c #s(literal -1 binary32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(-.f32 #s(literal 1 binary32) (-.f32 (neg.f32 c) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))))
(-.f32 #s(literal 1 binary32) (+.f32 (neg.f32 c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(-.f32 #s(literal 1 binary32) (neg.f32 (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal -1 binary32)))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal -1 binary32)))
(+.f32 (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(+.f32 (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) (-.f32 c #s(literal -1 binary32)))
(+.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))))
(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32)))))
(+.f32 c (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(+.f32 #s(literal 1 binary32) (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
(neg.f32 (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c))

eval257.0ms (3.7%)

Memory: 26.7MiB live, 2 152.0MiB allocated; 108ms collecting garbage
Compiler: Compiled 64 561 to 8 139 computations (87.4% saved)

prune70.0ms (1.0%)

Memory

-9.5MiB live, 533.1MiB allocated; 36ms collecting garbage

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	1 448	20	1 468
Fresh	11	1	12
Picked	5	0	5
Done	0	0	0
Total	1 464	21	1 485

Accuracy

100.0%

Counts

1 485 → 21

Alt Table

Click to see full alt table

Status	Accuracy	Program
	97.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
▶	97.9%	(/.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)))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
▶	98.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
	97.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta #s(literal 14868421/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) cosTheta))))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
	96.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
	94.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
	96.6%	(/.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)))
	91.7%	(/.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))))))
	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
▶	95.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
	91.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
	98.2%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (fma.f32 #s(literal -1 binary32) (/.f32 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))) (/.f32 #s(literal 1 binary32) (+.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)))))))))
	97.8%	#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))))))))))
	91.9%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
▶	95.9%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
	95.6%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
▶	92.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))

Compiler

Compiled 1 576 to 1 038 computations (34.1% saved)

sample1.0ms (0.0%)

Memory

6.6MiB live, 6.6MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
1
14868421/8388608
16777216/9465531
9465531/16777216
7311685/16777216
(PI)
(- (/ 1 (sqrt (PI))) 1)
(/ 1 (sqrt (PI)))
(sqrt (PI))
-1

Outputs
#s(literal 1 binary32)
#s(literal 14868421/8388608 binary32)
#s(literal 3717105/2097152 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal 7311685/16777216 binary32)
#s(literal 13176795/4194304 binary32)
#s(literal -14623371/33554432 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal 14868421/8388608 binary32)
#s(literal -1 binary32)

Samples

0.0ms

1×

valid

Compiler

Compiled 21 to 12 computations (42.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series384.0ms (5.5%)

Memory

26.1MiB live, 1 369.4MiB allocated; 48ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1688	16175

Stop Event

1×	iter-limit

Counts

43 → 269

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 #s(literal 14868421/8388608 binary32)) (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 #s(literal 14868421/8388608 binary32)) (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 #s(literal 14868421/8388608 binary32)) (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 #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))
(*.f32 cosTheta #s(literal 14868421/8388608 binary32))
#s(literal 14868421/8388608 binary32)
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
(*.f32 #s(literal 16777216/9465531 binary32) cosTheta)
#s(literal 16777216/9465531 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)
(+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))
#s(literal 9465531/16777216 binary32)
(*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))
(+.f32 #s(literal 7311685/16777216 binary32) c)
#s(literal 7311685/16777216 binary32)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta)
(fma.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) cosTheta)
(PI.f32)
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c)
(-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.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)))))
(-.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)))
#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))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)

Outputs
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 221069943033241/70368744177664 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (+.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 #s(literal 14868421/16777216 binary32) (fma.f32 #s(literal 14868421/8388608 binary32) (.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) (-.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (.f32 #s(literal 663209829099723/140737488355328 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c))))))) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (.f32 #s(literal 221069943033241/70368744177664 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c)))))))
#s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))
#s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta))
#s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta))
#s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 4194304/14868421 binary32) cosTheta) #s(literal 12582912/14868421 binary32))))))) cosTheta))
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#s(approx (/ 1 (- c (- -1 (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/.f32 (+.f32 #s(literal 1 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))) c))
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#s(approx (/ 1 (- c (- -1 (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta))))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 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 3 binary32)) (pow.f32 c #s(literal 3 binary32))))) (fma.f32 #s(literal -1 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)) (pow.f32 c #s(literal 2 binary32))) (+.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))))))))) c))
#s(approx (- c (- -1 (/ (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (* (exp (* cosTheta cosTheta)) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) (+.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(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 c (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) c)) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 9465531/16777216 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 c cosTheta)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (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 #s(literal 9465531/16777216 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)))) cosTheta))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 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)))) cosTheta)))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (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 #s(literal 9465531/16777216 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)))) cosTheta))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 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)))) cosTheta))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 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)))) cosTheta)))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (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 #s(literal 9465531/16777216 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)))) cosTheta))) c)) #s(literal 1 binary32)))))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) cosTheta) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta))) c)) #s(literal 1 binary32)))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 #s(literal 7311685/16777216 binary32) cosTheta)) c))))))
#s(approx (* cosTheta (+ 7311685/16777216 c)) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (*.f32 #s(literal -7311685/16777216 binary32) (/.f32 cosTheta c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (* (+ (* (* (PI) cosTheta) (- (- (/ 1 (sqrt (PI))) 1) c)) (sqrt (PI))) cosTheta) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (.f32 (PI.f32) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))))) c) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (PI.f32))))))
#s(approx (+ (* (* (PI) cosTheta) (- (- (/ 1 (sqrt (PI))) 1) c)) (sqrt (PI))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (.f32 (PI.f32) (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32))))) c) (*.f32 cosTheta (PI.f32))))))
#s(approx (- (- (/ 1 (sqrt (PI))) 1) c) (.f32 #s(literal -1 binary32) (.f32 c (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #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 (/.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)))))

Calls

6 calls:

Time	Variable	Point
19.0ms	cosTheta	-inf
18.0ms	cosTheta	inf
9.0ms	cosTheta	0
8.0ms	c	-inf
6.0ms	c	0

rewrite179.0ms (2.6%)

Memory

-14.1MiB live, 1 084.0MiB allocated; 37ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	402
0	96	402
1	496	388
2	2212	383
0	4207	379

Stop Event

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

Counts

43 → 798

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 #s(literal 14868421/8388608 binary32)) (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 #s(literal 14868421/8388608 binary32)) (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 #s(literal 14868421/8388608 binary32)) (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 #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))
(*.f32 cosTheta #s(literal 14868421/8388608 binary32))
#s(literal 14868421/8388608 binary32)
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
(*.f32 #s(literal 16777216/9465531 binary32) cosTheta)
#s(literal 16777216/9465531 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)
(+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))
#s(literal 9465531/16777216 binary32)
(*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))
(+.f32 #s(literal 7311685/16777216 binary32) c)
#s(literal 7311685/16777216 binary32)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta)
(fma.f32 (*.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) cosTheta)
(PI.f32)
(-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c)
(-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))
(sqrt.f32 (PI.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)))))
(-.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)))
#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))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)

Outputs
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) 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 #s(literal 14868421/8388608 binary32) cosTheta)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta))
(.f32 (pow.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))))
(.f32 (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))))
(/.f32 (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 2 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 #s(literal -2 binary32) (.f32 (-.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (-.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))))
(/.f32 (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)))) (neg.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(/.f32 #s(literal 2 binary32) (.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))))
(/.f32 #s(literal -1 binary32) (-.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) 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 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(pow.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32))) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
(neg.f32 (/.f32 #s(literal -1 binary32) (+.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))))
#s(literal 1 binary32)
(.f32 (+.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 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 (+.f32 c (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta))) #s(literal 1 binary32))) #s(literal 1 binary32))
(.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) 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 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)) (-.f32 c #s(literal -1 binary32)))) (-.f32 c #s(literal -1 binary32)))
(.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)))
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta)))
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (neg.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta))))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32))))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (neg.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (neg.f32 (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)))))))
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32))))))
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32))))
(/.f32 (fma.f32 (.f32 (.f32 (-.f32 c #s(literal -1 binary32)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)))
(/.f32 (fma.f32 (fma.f32 c (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta))) #s(literal 2 binary32) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 2 binary32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 2 binary32)))
(/.f32 (fma.f32 (fma.f32 c (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) #s(literal 2 binary32) (.f32 (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)))) #s(literal 2 binary32))) (.f32 (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)))) #s(literal 2 binary32)))
(/.f32 (fma.f32 (fma.f32 c (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) #s(literal 2 binary32) (.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) #s(literal 2 binary32))) (.f32 (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) #s(literal 2 binary32)))
(/.f32 (fma.f32 #s(literal 2 binary32) (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 2 binary32) (fma.f32 c (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta))))) (.f32 #s(literal 2 binary32) (exp.f32 (.f32 cosTheta cosTheta))))
(/.f32 (fma.f32 #s(literal 2 binary32) (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)))) (.f32 #s(literal 2 binary32) (fma.f32 c (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)))) (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))) (.f32 #s(literal 2 binary32) (.f32 cosTheta (neg.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32))))))
(/.f32 (fma.f32 #s(literal 2 binary32) (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (.f32 #s(literal 2 binary32) (fma.f32 c (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))) (.f32 #s(literal 2 binary32) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)))
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(/.f32 (/.f32 (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) cosTheta) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)))
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#s(literal -1 binary32)
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(/.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)))))
(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 (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (sqrt.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
(*.f32 (pow.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) #s(literal 1/2 binary32)) (pow.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))) (pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(*.f32 (sqrt.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (/.f32 #s(literal -1 binary32) (PI.f32))))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/2 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (pow.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(*.f32 #s(literal 1 binary32) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (*.f32 #s(literal 2 binary32) (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 #s(literal 2 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 #s(literal 2 binary32) (sqrt.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32))) (sqrt.f32 (PI.f32)))
(/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (sqrt.f32 (cbrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (PI.f32)) cosTheta)) (sqrt.f32 (PI.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 (*.f32 #s(literal -1 binary32) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))) (sqrt.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (neg.f32 (neg.f32 (PI.f32)))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (sqrt.f32 (PI.f32)))
(sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1/2 binary32))
(fabs.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (sqrt.f32 (PI.f32))))
(fabs.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (neg.f32 (sqrt.f32 (PI.f32)))))
(fabs.f32 (neg.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
(fabs.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
(fabs.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1/2 binary32)))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (/.f32 cosTheta (PI.f32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))
(*.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
(*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))
(*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (PI.f32) (*.f32 (cbrt.f32 (PI.f32)) (neg.f32 cosTheta))) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(/.f32 (fma.f32 (-.f32 cosTheta #s(literal 1 binary32)) (PI.f32) (.f32 (neg.f32 (PI.f32)) (neg.f32 cosTheta))) (.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32) (.f32 (PI.f32) (neg.f32 cosTheta))) (.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) (+.f32 cosTheta cosTheta))) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(/.f32 (-.f32 (.f32 #s(literal -1 binary32) (PI.f32)) (.f32 (neg.f32 (PI.f32)) (+.f32 cosTheta cosTheta))) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) (PI.f32)) (.f32 (PI.f32) (+.f32 cosTheta cosTheta))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(/.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (neg.f32 (PI.f32))) (.f32 (cbrt.f32 (PI.f32)) (neg.f32 cosTheta))) (*.f32 (cbrt.f32 (PI.f32)) (neg.f32 (PI.f32))))
(/.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (PI.f32)) (.f32 (cbrt.f32 (PI.f32)) cosTheta)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(/.f32 (-.f32 (.f32 (-.f32 cosTheta #s(literal 1 binary32)) (cbrt.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 (neg.f32 (PI.f32)) (cbrt.f32 (PI.f32))))
(/.f32 (-.f32 (.f32 (-.f32 cosTheta #s(literal 1 binary32)) (neg.f32 (PI.f32))) (.f32 (neg.f32 (PI.f32)) (neg.f32 cosTheta))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 (.f32 (-.f32 cosTheta #s(literal 1 binary32)) (PI.f32)) (.f32 (neg.f32 (PI.f32)) cosTheta)) (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (cbrt.f32 (PI.f32))) (.f32 (PI.f32) (/.f32 cosTheta (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 (PI.f32) (cbrt.f32 (PI.f32))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (neg.f32 (PI.f32))) (.f32 (PI.f32) (neg.f32 cosTheta))) (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (PI.f32)) cosTheta)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta))) (neg.f32 (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (-.f32 (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (PI.f32)) cosTheta) (PI.f32))
(/.f32 (-.f32 (.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32))) (.f32 (/.f32 cosTheta (PI.f32)) (/.f32 cosTheta (PI.f32)))) (+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 cosTheta (PI.f32))))
(/.f32 (-.f32 (pow.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) #s(literal 3 binary32)) (pow.f32 (/.f32 cosTheta (PI.f32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (fma.f32 (/.f32 cosTheta (PI.f32)) (/.f32 cosTheta (PI.f32)) (*.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 cosTheta (PI.f32))))))
(/.f32 (-.f32 (.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (.f32 (PI.f32) cosTheta)) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (neg.f32 (neg.f32 (PI.f32)))))
(/.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (neg.f32 (PI.f32)))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (PI.f32)) (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))
(sqrt.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))
(-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (+.f32 cosTheta cosTheta) (PI.f32)))
(-.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 cosTheta (PI.f32)))
(fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (/.f32 cosTheta (PI.f32))))
(fma.f32 (-.f32 #s(literal 1 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (neg.f32 cosTheta) (PI.f32)))
(pow.f32 (*.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 1/2 binary32))
(pow.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) #s(literal 2 binary32))
(pow.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)) #s(literal 1 binary32))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (neg.f32 (/.f32 cosTheta (PI.f32))))
(+.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32)) (/.f32 (neg.f32 cosTheta) (PI.f32)))
(fabs.f32 (*.f32 (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))) (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))))
(fabs.f32 (*.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (neg.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))))))
(fabs.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32)))
(neg.f32 (*.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(neg.f32 (/.f32 (-.f32 cosTheta (-.f32 #s(literal 1 binary32) cosTheta)) (PI.f32)))
(neg.f32 (-.f32 (/.f32 cosTheta (PI.f32)) (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (PI.f32))))
(.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))

eval183.0ms (2.6%)

Memory: 39.9MiB live, 1 377.1MiB allocated; 80ms collecting garbage
Compiler: Compiled 47 274 to 6 498 computations (86.3% saved)

prune45.0ms (0.6%)

Memory

-0.5MiB live, 331.7MiB allocated; 16ms collecting garbage

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	1 125	15	1 140
Fresh	10	6	16
Picked	3	2	5
Done	0	0	0
Total	1 138	23	1 161

Accuracy

100.0%

Counts

1 161 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.6%	(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
	97.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
✓	97.9%	(/.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)))))
	91.0%	(/.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)))))
▶	98.4%	(/.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 #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
	98.5%	(/.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 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))
	98.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
	96.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
	96.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
	95.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
	91.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
▶	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
	94.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
	91.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
	94.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
	97.4%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (fma.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))
	95.9%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
▶	91.9%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
▶	95.6%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
✓	92.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))

Compiler

Compiled 1 373 to 985 computations (28.3% saved)

sample1.0ms (0.0%)

Memory

7.0MiB live, 7.0MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
14868421/8388608
-1
1
16777216/9465531
-281474976710656/89596277111961
7311685/16777216
9465531/16777216
-28396593/33554432

Outputs
#s(literal 14868421/8388608 binary32)
#s(literal -1 binary32)
#s(literal 1 binary32)
#s(literal 3717105/2097152 binary32)
#s(literal -13176793/4194304 binary32)
#s(literal 7311685/16777216 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal -1774787/2097152 binary32)

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 10 computations (0.0% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

adjust: 0.0ms (0.0% of total)

series156.0ms (2.2%)

Memory

-19.3MiB live, 744.2MiB allocated; 59ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1312	11503

Stop Event

1×	iter-limit

Counts

41 → 226

Calls

Call 1

Inputs
(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32))
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
cosTheta
#s(literal 14868421/8388608 binary32)
(fma.f32 (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) 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 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
(*.f32 #s(literal 14868421/8388608 binary32) cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
(.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))))
(+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))
#s(literal 16777216/9465531 binary32)
(.f32 #s(literal -281474976710656/89596277111961 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))
#s(literal -281474976710656/89596277111961 binary32)
(*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))
(+.f32 #s(literal 7311685/16777216 binary32) c)
#s(literal 7311685/16777216 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)
(+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta)))))
#s(literal 9465531/16777216 binary32)
(.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))
(+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))
(+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
(*.f32 #s(literal -28396593/33554432 binary32) cosTheta)
#s(literal -28396593/33554432 binary32)
(/.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 #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(+.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))
(*.f32 cosTheta #s(literal 14868421/8388608 binary32))

Outputs
#s(approx (/ (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (+ (* (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#s(approx (/ (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (+ (* (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 #s(literal 1 binary32) (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))))))))
#s(approx (/ (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (+ (* (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (fma.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 #s(literal 3/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))) (-.f32 (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))) (.f32 #s(literal 14868421/8388608 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c)))))))))
#s(approx (/ (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (+ (* (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta)))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (fma.f32 #s(literal 14868421/8388608 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))) (.f32 cosTheta (fma.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 #s(literal 1/2 binary32) (fma.f32 #s(literal -1/2 binary32) (-.f32 #s(literal 1 binary32) (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))) (fma.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c) (.f32 (-.f32 #s(literal 3/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))) (-.f32 (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))) (-.f32 (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))) (.f32 #s(literal 14868421/8388608 binary32) (-.f32 #s(literal 3/2 binary32) (.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))) (-.f32 (*.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))))))
#s(approx (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal 14868421/8388608 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))
#s(approx (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 14868421/8388608 binary32) (*.f32 #s(literal 14868421/16777216 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))
#s(approx (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 14868421/8388608 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 14868421/16777216 binary32) (.f32 #s(literal 14868421/50331648 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))))))))
#s(approx (* (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32))
#s(approx (* (exp (* cosTheta cosTheta)) 14868421/8388608) (+.f32 #s(literal 14868421/8388608 binary32) (*.f32 #s(literal 14868421/8388608 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))
#s(approx (* (exp (* cosTheta cosTheta)) 14868421/8388608) (+.f32 #s(literal 14868421/8388608 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal 14868421/16777216 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (* (exp (* cosTheta cosTheta)) 14868421/8388608) (+.f32 #s(literal 14868421/8388608 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 14868421/8388608 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 14868421/16777216 binary32) (*.f32 #s(literal 14868421/50331648 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
#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)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))))
#s(approx (+ (* (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))))
#s(approx (+ (* (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)))) #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 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 221069943033241/70368744177664 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (+.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 #s(literal 14868421/16777216 binary32) (fma.f32 #s(literal 14868421/8388608 binary32) (.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) (-.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (.f32 #s(literal 663209829099723/140737488355328 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c))))))) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (.f32 #s(literal 221069943033241/70368744177664 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
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#s(approx (+ (* (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -14868421/8388608 binary32) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (.f32 #s(literal -1 binary32) (/.f32 (+.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 #s(literal 14868421/8388608 binary32) (*.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 c (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 9465531/16777216 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 c cosTheta)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (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 #s(literal 9465531/16777216 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)))) cosTheta))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 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)))) cosTheta)))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (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 #s(literal 9465531/16777216 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)))) cosTheta))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 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)))) cosTheta))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 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)))) cosTheta)))) c)) #s(literal 1 binary32)) c)))
#s(approx (* cosTheta (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta))) c) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (+ 16777216/9465531 (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c)))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)) c) (.f32 #s(literal 281474976710656/89596277111961 binary32) cosTheta)))))
#s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal 122669718568960/89596277111961 binary32) (/.f32 cosTheta c) (*.f32 #s(literal 281474976710656/89596277111961 binary32) cosTheta)))))
#s(approx (* cosTheta (+ 7311685/16777216 c)) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (*.f32 #s(literal -7311685/16777216 binary32) (/.f32 cosTheta c))))))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (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 #s(literal 9465531/16777216 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)))) cosTheta))) c)) #s(literal 1 binary32)))))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))) c)) #s(literal 1 binary32)))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))) c))))))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))) c))))))
#s(approx (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) c)) #s(literal 1 binary32)))))
#s(approx (+ c (* -28396593/33554432 cosTheta)) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (*.f32 #s(literal 28396593/33554432 binary32) (/.f32 cosTheta c)) #s(literal 1 binary32)))))
#s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) c)) #s(literal 1 binary32)))))

Calls

6 calls:

Time	Variable	Point
21.0ms	cosTheta	0
16.0ms	cosTheta	inf
15.0ms	c	0
8.0ms	cosTheta	-inf
6.0ms	c	inf

rewrite313.0ms (4.5%)

Memory

3.2MiB live, 1 684.8MiB allocated; 131ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	374
0	89	380
1	469	362
2	1876	362
0	4529	344

Stop Event

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

Counts

41 → 1 046

Calls

Call 1

Inputs
(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta)
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32))
(exp.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
cosTheta
#s(literal 14868421/8388608 binary32)
(fma.f32 (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) 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 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
(*.f32 #s(literal 14868421/8388608 binary32) cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
(.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))))
(+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))
#s(literal 16777216/9465531 binary32)
(.f32 #s(literal -281474976710656/89596277111961 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))
#s(literal -281474976710656/89596277111961 binary32)
(*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))
(+.f32 #s(literal 7311685/16777216 binary32) c)
#s(literal 7311685/16777216 binary32)
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)
(+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta)))))
#s(literal 9465531/16777216 binary32)
(.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))
(+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))
(+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
(*.f32 #s(literal -28396593/33554432 binary32) cosTheta)
#s(literal -28396593/33554432 binary32)
(/.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 #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(+.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))
(*.f32 cosTheta #s(literal 14868421/8388608 binary32))

Outputs
(.f32 (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(.f32 (/.f32 cosTheta (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (.f32 cosTheta cosTheta))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 (.f32 #s(literal 8388608/14868421 binary32) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) cosTheta)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (pow.f32 (/.f32 (.f32 #s(literal 8388608/14868421 binary32) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))) cosTheta) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))) (.f32 (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32)))
(.f32 (.f32 (neg.f32 (.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (.f32 cosTheta cosTheta)))) cosTheta) (/.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (*.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (.f32 (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (*.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (*.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (/.f32 (exp.f32 (.f32 cosTheta cosTheta)) (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32)))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32)))))
(.f32 (.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (.f32 cosTheta cosTheta))) (/.f32 cosTheta (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)))))
(.f32 #s(literal 14868421/8388608 binary32) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (/.f32 cosTheta (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) (*.f32 (-.f32 c #s(literal -1 binary32)) cosTheta)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))))
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(/.f32 #s(literal 1 binary32) (/.f32 (.f32 (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(neg.f32 (/.f32 (neg.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))) (.f32 (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32))))
(.f32 (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32))
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32))
(.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))
(.f32 (.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)
(.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 #s(literal 14868421/8388608 binary32) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
(.f32 cosTheta (.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (*.f32 cosTheta cosTheta))))
(/.f32 (+.f32 (pow.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 3 binary32)) (pow.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) #s(literal 3 binary32))) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (-.f32 (.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta)))) (.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta)))))))
(/.f32 (+.f32 (pow.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) #s(literal 3 binary32)) (pow.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) #s(literal 3 binary32))) (fma.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (-.f32 (.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta))) (.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta))))))
(fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta)))
(fma.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (sinh.f32 (*.f32 cosTheta cosTheta))))
(+.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))
(+.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)))
(*.f32 #s(literal 14868421/8388608 binary32) cosTheta)
(*.f32 cosTheta #s(literal 14868421/8388608 binary32))

eval232.0ms (3.3%)

Memory: 27.6MiB live, 1 410.9MiB allocated; 120ms collecting garbage
Compiler: Compiled 57 749 to 6 217 computations (89.2% saved)

prune69.0ms (1.0%)

Memory

8.4MiB live, 442.5MiB allocated; 33ms collecting garbage

Pruning

30 alts after pruning (27 fresh and 3 done)

	Pruned	Kept	Total
New	1 303	19	1 322
Fresh	8	8	16
Picked	3	2	5
Done	1	1	2
Total	1 315	30	1 345

Accuracy

100.0%

Counts

1 345 → 30

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.6%	(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))))
	97.3%	(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) #s(approx (+ ( (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
	96.1%	(/.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
	97.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32))))
	97.7%	(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.f32 c #s(literal -1 binary32))))
	98.4%	(/.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 (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32))))))
	91.0%	(/.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)))))
	97.7%	(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) #s(literal 1 binary32)) c))
✓	98.4%	(/.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 #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
	95.9%	(/.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 #s(literal 14868421/8388608 binary32)) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
	95.1%	(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
	97.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
	96.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
	96.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
	95.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
	91.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
	94.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
	91.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
	94.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
	95.9%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
✓	91.9%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
	92.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
	95.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
✓	92.0%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))

Compiler

Compiled 947 to 694 computations (26.7% saved)

regimes1.4s (19.8%)

Memory

85.3MiB live, 8 316.5MiB allocated; 592ms collecting garbage

Counts

10 → 1

16 → 1

17 → 1

21 → 1

28 → 1

33 → 1

39 → 1

43 → 1

44 → 1

46 → 1

49 → 1

64 → 1

72 → 1

Calls

Call 1

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))

Outputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))

Call 2

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))

Outputs

#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx (* -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))

Call 3

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))

Outputs

#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (*.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))

Call 4

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))

Outputs

#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (*.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))

Call 5

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) 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 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))

Call 6

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) 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 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))

Call 7

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) 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 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta #s(literal 14868421/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) 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 #s(literal 14868421/8388608 binary32)) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))

Call 8

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) 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 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta #s(literal 14868421/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) 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 #s(literal 14868421/8388608 binary32)) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))

Outputs

(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))

Call 9

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) 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 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta #s(literal 14868421/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) 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 #s(literal 14868421/8388608 binary32)) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32))))

Outputs

(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32))))

Call 10

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) 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 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta #s(literal 14868421/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) 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 #s(literal 14868421/8388608 binary32)) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) #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)))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) #s(literal 1 binary32)) c))

Call 11

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) 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 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta #s(literal 14868421/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) 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 #s(literal 14868421/8388608 binary32)) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) #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 #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 (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32))))))
(/.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 #s(literal 14868421/8388608 binary32)) (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 #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))

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 (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32))))))

Call 12

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) 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 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta #s(literal 14868421/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) 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 #s(literal 14868421/8388608 binary32)) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) #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 #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 (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32))))))
(/.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 #s(literal 14868421/8388608 binary32)) (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 #s(literal 14868421/8388608 binary32)) (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 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.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 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) #s(approx (+ ( (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 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 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))

Call 13

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta))
#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) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 c))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) #s(approx ( -281474976710656/89596277111961 (* cosTheta (+ 7311685/16777216 c))) (*.f32 #s(literal -122669718568960/89596277111961 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) #s(approx (* cosTheta (+ 7311685/16777216 c)) (*.f32 c cosTheta))))))
(/.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 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 c #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta #s(approx (+ 7311685/16777216 c) #s(literal 7311685/16777216 binary32)))) cosTheta)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c #s(literal -1 binary32)) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 #s(literal -9465531/16777216 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 #s(literal -8388608/14868421 binary32) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta #s(approx (+ 7311685/16777216 (+ c ( -28396593/33554432 cosTheta))) (+.f32 #s(literal 7311685/16777216 binary32) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) 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 c #s(literal -1 binary32)) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (/.f32 (-.f32 #s(literal 1 binary32) cosTheta) (sqrt.f32 (PI.f32))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (- c -1) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 #s(literal -12582912/14868421 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* -28396593/33554432 cosTheta))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 #s(literal -28396593/33554432 binary32) cosTheta)) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (fma.f32 (-.f32 (fma.f32 #s(literal -28396593/33554432 binary32) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) (/.f32 #s(literal 1 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 #s(approx ( (exp (* cosTheta cosTheta)) 14868421/8388608) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta #s(literal 14868421/8388608 binary32)) (/.f32 #s(literal 1 binary32) #s(literal 14868421/8388608 binary32))) 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 #s(literal 14868421/8388608 binary32)) #s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) #s(literal 8388608/14868421 binary32) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (fma.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 8388608/14868421 binary32) #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 #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 (exp.f32 (*.f32 cosTheta cosTheta))) #s(literal 14868421/8388608 binary32))))))
(/.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 #s(literal 14868421/8388608 binary32)) (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 #s(literal 14868421/8388608 binary32)) (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 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) #s(literal 9465531/16777216 binary32) (-.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 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) #s(approx (+ ( (* (* (exp (* cosTheta cosTheta)) 14868421/8388608) cosTheta) (- c -1)) (sqrt (- (- 1 cosTheta) cosTheta))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta (.f32 #s(literal 14868421/8388608 binary32) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 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 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))
(/.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 #s(literal 1 binary32) (+.f32 cosTheta cosTheta)))))
(.f32 (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (fma.f32 #s(literal -1 binary32) (/.f32 c (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (- (- 1 cosTheta) cosTheta)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (fma.f32 #s(literal -1 binary32) (/.f32 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))) (/.f32 #s(literal 1 binary32) (+.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(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))))) (.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 (+ (+ 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))))))))))

Outputs

(/.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (fma.f32 (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) #s(literal 14868421/8388608 binary32)) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta))))

Calls

78 calls:

65.0ms	(.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)))
64.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
49.0ms	(+.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))))
45.0ms	(.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)))
38.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))

Results

Accuracy	Segments	Branch
92.0%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
92.0%	1	`(+.f32 #s(literal 1 binary32) c)`
92.0%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
92.0%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
92.0%	1	`cosTheta`
92.0%	1	`c`
95.5%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
95.5%	1	`(+.f32 #s(literal 1 binary32) c)`
95.5%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.5%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
95.5%	1	`cosTheta`
95.5%	1	`c`
95.6%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
95.6%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
95.6%	1	`cosTheta`
95.6%	1	`c`
95.6%	1	`(+.f32 #s(literal 1 binary32) c)`
95.9%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
95.9%	1	`(+.f32 #s(literal 1 binary32) c)`
95.9%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.9%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
95.9%	1	`cosTheta`
95.9%	1	`c`
96.7%	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)))`
96.7%	1	`(+.f32 #s(literal 1 binary32) c)`
96.7%	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))))`
96.7%	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)))))`
96.7%	1	`cosTheta`
96.7%	1	`c`
96.7%	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)))`
96.7%	1	`(+.f32 #s(literal 1 binary32) c)`
96.7%	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))))`
96.7%	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)))))`
96.7%	1	`cosTheta`
96.7%	1	`c`
96.7%	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)))`
96.7%	1	`(+.f32 #s(literal 1 binary32) c)`
96.7%	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))))`
96.7%	1	`c`
96.7%	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)))))`
96.7%	1	`cosTheta`
97.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
97.2%	1	`(+.f32 #s(literal 1 binary32) c)`
97.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
97.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
97.2%	1	`cosTheta`
97.2%	1	`c`
97.7%	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)))`
97.7%	1	`(+.f32 #s(literal 1 binary32) c)`
97.7%	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))))`
97.7%	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)))))`
97.7%	1	`cosTheta`
97.7%	1	`c`
97.7%	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)))`
97.7%	1	`(+.f32 #s(literal 1 binary32) c)`
97.7%	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))))`
97.7%	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)))))`
97.7%	1	`cosTheta`
97.7%	1	`c`
98.4%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.4%	1	`(+.f32 #s(literal 1 binary32) c)`
98.4%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.4%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.4%	1	`cosTheta`
98.4%	1	`c`
98.5%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.5%	1	`cosTheta`
98.5%	1	`c`
98.5%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.5%	1	`(+.f32 #s(literal 1 binary32) c)`
98.5%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.6%	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)))`
98.6%	1	`(+.f32 #s(literal 1 binary32) c)`
98.6%	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))))`
98.6%	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)))))`
98.6%	1	`cosTheta`
98.6%	1	`c`

Compiler

Compiled 3 480 to 1 218 computations (65.0% saved)

derivations157.0ms (2.3%)

Memory

3.1MiB live, 751.7MiB allocated; 14ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 385 to 121 computations (68.6% saved)

preprocess121.0ms (1.7%)

Memory: -2.9MiB live, 1 430.0MiB allocated; 44ms collecting garbage
Compiler: Compiled 410 to 139 computations (66.1% saved)

end0.0ms (0.0%)

Memory: 0.8MiB live, 0.8MiB allocated; 0ms collecting garbage

start0.0ms (0.0%)

analyze22.0ms (0.3%)

sample1.4s (20.6%)

preprocess34.0ms (0.5%)

sample0.0ms (0.0%)

series76.0ms (1.1%)

rewrite1.3s (18.4%)

eval148.0ms (2.1%)

prune27.0ms (0.4%)

sample0.0ms (0.0%)

series163.0ms (2.3%)

rewrite236.0ms (3.4%)

eval257.0ms (3.7%)

prune70.0ms (1.0%)

sample1.0ms (0.0%)

series384.0ms (5.5%)

rewrite179.0ms (2.6%)

eval183.0ms (2.6%)

prune45.0ms (0.6%)

sample1.0ms (0.0%)

series156.0ms (2.2%)

rewrite313.0ms (4.5%)

eval232.0ms (3.3%)

prune69.0ms (1.0%)

regimes1.4s (19.8%)

derivations157.0ms (2.3%)

preprocess121.0ms (1.7%)

end0.0ms (0.0%)

Profiling