Metrics for Beckmann Sample, normalization factor

start0.0ms (0%)

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

analyze23.0ms (0.5%)

Memory

-26.0MiB live, 19.5MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample926.0ms (19.8%)

Memory

49.4MiB live, 1 014.7MiB allocated; 161ms collecting garbage

Samples

643.0ms	8 256×	0	valid
5.0ms	58×	0	invalid

Precisions

Click to see histograms. Total time spent on operations: 463.0ms

ival-mult!: 135.0ms (29.2% of total)

ival-div!: 79.0ms (17.1% of total)

ival-sqrt: 62.0ms (13.4% of total)

ival-exp: 61.0ms (13.2% of total)

ival-add!: 50.0ms (10.8% of total)

ival-neg: 38.0ms (8.2% of total)

ival-sub!: 35.0ms (7.6% of total)

adjust: 2.0ms (0.4% of total)

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

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

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

Bogosity

preprocess45.0ms (1%)

Memory

-2.2MiB live, 43.2MiB allocated; 4ms collecting garbage

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	46	158
1	313	142
2	2698	142

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Status

Accuracy

Program

▶

98.0%

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

Compiler

Compiled 50 to 36 computations (28% saved)

series214.0ms (4.6%)

Memory

43.5MiB live, 189.6MiB allocated; 40ms collecting garbage

Counts

18 → 100

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
7.0ms	cosTheta	-inf
7.0ms	cosTheta	inf
3.0ms	cosTheta	0
2.0ms	c	0
1.0ms	c	inf

rewrite344.0ms (7.4%)

Memory

-33.1MiB live, 259.5MiB allocated; 64ms collecting garbage

Counts

18 → 86

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

eval21.0ms (0.5%)

Memory: -14.1MiB live, 30.8MiB allocated; 4ms collecting garbage
Compiler: Compiled 9 437 to 1 310 computations (86.1% saved)

prune18.0ms (0.4%)

Memory

28.6MiB live, 28.6MiB allocated; 0ms collecting garbage

Pruning

23 alts after pruning (23 fresh and 0 done)

	Pruned	Kept	Total
New	157	23	180
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	158	23	181

Accuracy

99.5%

Counts

181 → 23

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (+.f32 (+.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) c) (.f32 (.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))))))
	94.9%	(/.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)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) 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)))))
	98.0%	(/.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 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta))))
▶	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
	95.8%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #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)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	95.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	94.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
	26.9%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (fma.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 3 binary32))) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c))) (pow.f32 (.f32 (-.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) #s(literal 2 binary32)))) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (.f32 (-.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) c) #s(literal 1 binary32)) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))))))
	35.8%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 2 binary32))) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))
	95.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	94.6%	(/.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) 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))))))
▶	98.7%	(/.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 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))))))))
▶	58.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))))))))
	97.6%	(.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	56.0%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #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 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))))
▶	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))
	96.3%	#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))))))))))
	95.2%	#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))))))))))
	91.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))

Compiler

Compiled 2 126 to 1 164 computations (45.2% saved)

series424.0ms (9.1%)

Memory

7.6MiB live, 334.3MiB allocated; 41ms collecting garbage

Counts

51 → 223

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
14.0ms	cosTheta	inf
10.0ms	cosTheta	-inf
5.0ms	cosTheta	0
4.0ms	c	-inf
4.0ms	c	0

rewrite244.0ms (5.2%)

Memory

2.0MiB live, 191.1MiB allocated; 49ms collecting garbage

Counts

51 → 208

Calls

Call 1

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

Outputs
(/.f32 #s(literal 1 binary32) #s(approx (PI) (PI.f32)))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(approx (PI) (PI.f32))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal -1 binary32)
(log.f32 (exp.f32 #s(literal -1 binary32)))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
#s(approx (PI) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
(.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32)))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))
#s(approx 0 #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
#s(literal 1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
c
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) #s(approx (PI) (PI.f32)))
#s(approx (PI) (PI.f32))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))
(PI.f32)
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(.f32 (pow.f32 (PI.f32) (/.f32 (.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))) (pow.f32 (PI.f32) (/.f32 (*.f32 #s(literal -1 binary32) #s(literal 1/2 binary32)) #s(literal 1 binary32))))

eval30.0ms (0.6%)

Memory: 2.7MiB live, 46.9MiB allocated; 4ms collecting garbage
Compiler: Compiled 21 888 to 2 052 computations (90.6% saved)

prune26.0ms (0.6%)

Memory

-7.8MiB live, 38.0MiB allocated; 3ms collecting garbage

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	279	14	293
Fresh	5	13	18
Picked	3	2	5
Done	0	0	0
Total	287	29	316

Accuracy

99.6%

Counts

316 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (+.f32 (+.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) c) (.f32 (.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))))))
▶	94.9%	(/.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)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) 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)))))
▶	98.0%	(/.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 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta))))
✓	98.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))))
▶	11.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 2 binary32))) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))
▶	94.6%	(/.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) 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))))))
	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32))))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	96.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	95.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	91.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	94.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) #s(approx (+ c (/ (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* cosTheta (sqrt (PI))))) (/.f32 (fma.f32 cosTheta (-.f32 c (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))))
	56.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(approx ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32))))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))))))))
	56.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) #s(approx (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) (/.f32 (fma.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (.f32 c (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (.f32 c (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 (PI.f32))))) cosTheta))))))
	54.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) #s(approx (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) (/.f32 (fma.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 c (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 c (sqrt.f32 (PI.f32))))) cosTheta))))))
	51.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c #s(approx (+ 1 (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI))))))) (/.f32 #s(literal 1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
	11.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (PI.f32)))
	97.6%	(.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	56.0%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #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 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))))
	8.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 cosTheta c))
	10.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 0 binary32) c))
	96.3%	#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))))))))))
	95.2%	#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))))))))))
	91.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
▶	11.1%	#s(approx (PI) #s(literal 1 binary32))

Compiler

Compiled 2 550 to 1 565 computations (38.6% saved)

series426.0ms (9.1%)

Memory

34.8MiB live, 361.0MiB allocated; 42ms collecting garbage

Counts

42 → 191

Calls

Call 1

Inputs
(/.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 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta))))
#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 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (neg.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 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(PI.f32)
(/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta)
(exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))
(neg.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
#s(approx (PI) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))
#s(approx 0 #s(literal 1 binary32))
(/.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)))
#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 (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)
(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))))
(-.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)))
(sqrt.f32 (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta))
(/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))) cosTheta)
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))
(*.f32 #s(literal -1 binary32) cosTheta)
#s(literal -1 binary32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)

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

Calls

6 calls:

Time	Variable	Point
13.0ms	cosTheta	0
11.0ms	cosTheta	-inf
7.0ms	cosTheta	inf
3.0ms	c	0
3.0ms	c	inf

rewrite220.0ms (4.7%)

Memory

-24.8MiB live, 161.0MiB allocated; 19ms collecting garbage

Counts

42 → 150

Calls

Call 1

Inputs
(/.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 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta))))
#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 (neg.f32 (.f32 cosTheta cosTheta))) cosTheta)))
(+.f32 #s(literal 1 binary32) c)
c
(.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (/.f32 (exp.f32 (neg.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 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)
(-.f32 #s(literal 1 binary32) cosTheta)
cosTheta
(PI.f32)
(/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta)
(exp.f32 (neg.f32 (*.f32 cosTheta cosTheta)))
(neg.f32 (*.f32 cosTheta cosTheta))
(*.f32 cosTheta cosTheta)
#s(approx (PI) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))))
(+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32)))
(.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32)))
(/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))
#s(approx 0 #s(literal 1 binary32))
(/.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)))
#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 (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)
(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))))
(-.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)))
(sqrt.f32 (PI.f32))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta))))
(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
(.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta))
(/.f32 #s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))) cosTheta)
#s(approx (sqrt (- (- 1 cosTheta) cosTheta)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta))
(*.f32 #s(literal -1 binary32) cosTheta)
#s(literal -1 binary32)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(*.f32 (neg.f32 cosTheta) cosTheta)
(neg.f32 cosTheta)

Outputs
(*.f32 (-.f32 c (PI.f32)) (-.f32 c (PI.f32)))
(*.f32 (-.f32 c (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (-.f32 c (PI.f32)))
(*.f32 (-.f32 (-.f32 c (PI.f32)) c) (-.f32 c (PI.f32)))
(*.f32 (+.f32 (PI.f32) (fabs.f32 c)) (-.f32 (PI.f32) (fabs.f32 c)))
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
(*.f32 (-.f32 c (PI.f32)) (-.f32 c (PI.f32)))
(*.f32 (-.f32 c (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (-.f32 c (PI.f32)))
(*.f32 (-.f32 (-.f32 c (PI.f32)) c) (-.f32 c (PI.f32)))
(*.f32 (+.f32 (PI.f32) (fabs.f32 c)) (-.f32 (PI.f32) (fabs.f32 c)))
(*.f32 (-.f32 c (PI.f32)) (-.f32 c (PI.f32)))
(*.f32 (-.f32 c (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (-.f32 c (PI.f32)))
(*.f32 (-.f32 (-.f32 c (PI.f32)) c) (-.f32 c (PI.f32)))
(*.f32 (+.f32 (PI.f32) (fabs.f32 c)) (-.f32 (PI.f32) (fabs.f32 c)))
c
(*.f32 c (PI.f32))
(*.f32 (PI.f32) c)
(+.f32 c c)
(/.f32 c (PI.f32))
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(approx (PI) (PI.f32))
(/.f32 (PI.f32) (+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32))))
(+.f32 (PI.f32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32)))
(.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32))
(*.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (PI) (PI.f32)) (PI.f32))
#s(approx (PI) (PI.f32))
(/.f32 (PI.f32) #s(approx (+ (PI) c) (-.f32 c (PI.f32))))
#s(approx (+ (PI) c) (-.f32 c (PI.f32)))
(*.f32 (-.f32 c (PI.f32)) (-.f32 c (PI.f32)))
(*.f32 (-.f32 c (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (-.f32 c (PI.f32)))
(*.f32 (-.f32 (-.f32 c (PI.f32)) c) (-.f32 c (PI.f32)))
(*.f32 (+.f32 (PI.f32) (fabs.f32 c)) (-.f32 (PI.f32) (fabs.f32 c)))
(*.f32 (-.f32 c (PI.f32)) (-.f32 c (PI.f32)))
(*.f32 (-.f32 c (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (-.f32 c (PI.f32)))
(*.f32 (-.f32 (-.f32 c (PI.f32)) c) (-.f32 c (PI.f32)))
(*.f32 (+.f32 (PI.f32) (fabs.f32 c)) (-.f32 (PI.f32) (fabs.f32 c)))
(*.f32 (-.f32 c (PI.f32)) (-.f32 c (PI.f32)))
(*.f32 (-.f32 c (PI.f32)) (PI.f32))
(*.f32 (PI.f32) (-.f32 c (PI.f32)))
(*.f32 (-.f32 (-.f32 c (PI.f32)) c) (-.f32 c (PI.f32)))
(*.f32 (+.f32 (PI.f32) (fabs.f32 c)) (-.f32 (PI.f32) (fabs.f32 c)))
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
(/.f32 (PI.f32) (+.f32 (-.f32 c (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32))))
(+.f32 (-.f32 c (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32)))
(.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32))
(*.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32)))
(/.f32 #s(approx (PI) (PI.f32)) (PI.f32))
#s(approx (PI) (PI.f32))
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta
#s(literal 1 binary32)
#s(literal -1 binary32)
#s(literal 2 binary32)
#s(literal 0 binary32)
cosTheta

eval28.0ms (0.6%)

Memory: 2.7MiB live, 47.3MiB allocated; 4ms collecting garbage
Compiler: Compiled 14 027 to 1 641 computations (88.3% saved)

prune27.0ms (0.6%)

Memory

-5.7MiB live, 40.4MiB allocated; 3ms collecting garbage

Pruning

35 alts after pruning (32 fresh and 3 done)

	Pruned	Kept	Total
New	229	12	241
Fresh	2	20	22
Picked	2	3	5
Done	2	0	2
Total	235	35	270

Accuracy

99.7%

Counts

270 → 35

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (+.f32 (+.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) c) (.f32 (.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	11.4%	(/.f32 (PI.f32) (+.f32 (-.f32 c (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32))))
	86.1%	(/.f32 cosTheta #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 cosTheta c) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) cosTheta)))
▶	11.5%	(/.f32 #s(literal 1 binary32) (+.f32 (-.f32 c (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))))))
✓	94.9%	(/.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)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	94.8%	(/.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))) #s(approx (/ (exp (neg ( cosTheta cosTheta))) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)))))
▶	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 #s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta))))
✓	11.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 2 binary32))) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))
	94.5%	(/.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 #s(approx (- (+ 1 c) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	91.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* cosTheta (- (+ 1 c) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	94.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* cosTheta (- (+ 1 c) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (.f32 c (+.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (sqrt.f32 (PI.f32)))) (/.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) c))))) 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))))))
▶	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32))))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	96.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	95.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	91.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	56.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(approx ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32))))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))))))))
▶	56.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) #s(approx (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) (/.f32 (fma.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (.f32 c (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) c)) (/.f32 #s(literal 1 binary32) (.f32 c (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 (PI.f32))))) cosTheta))))))
	54.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) #s(approx (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) (/.f32 (fma.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 c (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (.f32 c (sqrt.f32 (PI.f32))))) cosTheta))))))
	51.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c #s(approx (+ 1 (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI))))))) (/.f32 #s(literal 1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
	11.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (PI.f32)))
	95.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* cosTheta (- (+ 1 c) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta) (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	58.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (sqrt (/ (- (- 1 cosTheta) cosTheta) (PI))) (/ (exp (neg (* cosTheta cosTheta))) cosTheta))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (neg.f32 (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)) (PI.f32)))) (.f32 c cosTheta)))))))
	97.6%	(.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	56.0%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #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 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))))
	8.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 cosTheta c))
	96.3%	#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))))))))))
	95.2%	#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))))))))))
	91.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
▶	29.1%	#s(approx (PI) cosTheta)
✓	11.1%	#s(approx (PI) #s(literal 1 binary32))

Compiler

Compiled 3 011 to 1 835 computations (39.1% saved)

series582.0ms (12.5%)

Memory

29.2MiB live, 463.6MiB allocated; 214ms collecting garbage

Counts

56 → 270

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
7.0ms	cosTheta	-inf
6.0ms	c	-inf
6.0ms	cosTheta	inf
5.0ms	c	0
5.0ms	c	inf

rewrite361.0ms (7.8%)

Memory

-15.9MiB live, 305.8MiB allocated; 26ms collecting garbage

Counts

56 → 172

Calls

Call 1

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

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

eval47.0ms (1%)

Memory: 5.7MiB live, 58.8MiB allocated; 38ms collecting garbage
Compiler: Compiled 23 480 to 2 442 computations (89.6% saved)

prune27.0ms (0.6%)

Memory

-3.8MiB live, 42.4MiB allocated; 2ms collecting garbage

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	307	12	319
Fresh	4	23	27
Picked	2	3	5
Done	0	3	3
Total	313	41	354

Accuracy

99.8%

Counts

354 → 41

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (+.f32 (+.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) c) (.f32 (.f32 (/.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 (.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	11.4%	(/.f32 (PI.f32) (+.f32 (-.f32 c (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32))))
	11.4%	(/.f32 (PI.f32) #s(approx (PI) (+.f32 (PI.f32) (+.f32 (PI.f32) (/.f32 #s(approx (PI) (-.f32 (PI.f32) #s(literal 3/2 binary32))) (PI.f32))))))
	86.1%	(/.f32 cosTheta #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 cosTheta c) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) cosTheta)))
	90.3%	(/.f32 cosTheta #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 cosTheta #s(approx (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) (/.f32 (fma.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (.f32 c (sqrt.f32 (PI.f32)))) (/.f32 cosTheta c)) (/.f32 cosTheta (.f32 c (sqrt.f32 (PI.f32))))) (/.f32 cosTheta (*.f32 c (sqrt.f32 (PI.f32))))) cosTheta))))))
	72.2%	(/.f32 c #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 c (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 c (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) c)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	71.9%	(/.f32 c #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 c #s(approx (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) (/.f32 (fma.f32 cosTheta (-.f32 (fma.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (.f32 c (sqrt.f32 (PI.f32)))) (/.f32 c c)) (/.f32 c (.f32 c (sqrt.f32 (PI.f32))))) (/.f32 c (*.f32 c (sqrt.f32 (PI.f32))))) cosTheta))))))
	11.5%	(/.f32 #s(literal 2 binary32) (+.f32 (-.f32 c (PI.f32)) (.f32 (.f32 (PI.f32) (/.f32 #s(approx (PI) (PI.f32)) (PI.f32))) (PI.f32))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) cosTheta) (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))))))
	98.0%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta) (/.f32 (exp.f32 (neg.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))))))
✓	94.9%	(/.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)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -1 binary32) cosTheta))) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
	94.8%	(/.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))) #s(approx (/ (exp (neg ( cosTheta cosTheta))) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta)))))
✓	98.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 (/.f32 #s(approx (- (- 1 cosTheta) cosTheta) (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (PI.f32))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta))))
	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (sqrt.f32 #s(approx (/ (- (- 1 cosTheta) cosTheta) (PI)) (.f32 cosTheta (-.f32 (/.f32 #s(literal 1 binary32) (.f32 cosTheta (PI.f32))) (.f32 #s(literal 2 binary32) (/.f32 #s(literal 1 binary32) (PI.f32))))))) (/.f32 (exp.f32 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta))))
✓	11.6%	(/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (.f32 (.f32 (PI.f32) (/.f32 #s(approx 0 #s(literal 1 binary32)) #s(literal 1 binary32))) #s(literal 1 binary32))))
	35.8%	(/.f32 #s(literal 1 binary32) (.f32 (/.f32 (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 2 binary32))) (-.f32 (.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 3 binary32)))) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) (*.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)))))
	94.5%	(/.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 #s(approx (- (+ 1 c) (/ 1 (sqrt (PI)))) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	91.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* cosTheta (- (+ 1 c) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
	94.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ (* cosTheta (- (+ 1 c) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) (.f32 c (+.f32 cosTheta (+.f32 (/.f32 #s(literal 1 binary32) (.f32 c (sqrt.f32 (PI.f32)))) (/.f32 (*.f32 cosTheta (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) c))))) 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))))))
	11.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (PI.f32) (+.f32 (PI.f32) (/.f32 #s(approx (PI) (-.f32 (PI.f32) #s(literal 3/2 binary32))) (PI.f32))))))
✓	97.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) cosTheta) #s(literal 3/2 binary32))) #s(literal 1 binary32))))) (.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	96.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta #s(approx (- (* 1/2 cosTheta) 3/2) #s(literal -3/2 binary32))) #s(literal 1 binary32))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	95.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta #s(approx (- ( cosTheta (- (* 1/2 cosTheta) 3/2)) 1) #s(literal -1 binary32))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	91.3%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(approx (* (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) #s(literal 1 binary32)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))))
	11.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (*.f32 (PI.f32) (+.f32 (PI.f32) #s(approx (PI) (fma.f32 #s(literal -3/2 binary32) (PI.f32) (PI.f32)))))))
	56.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 #s(approx ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -3/2 binary32) cosTheta) #s(literal 1 binary32))))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32))))))))))
	56.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) #s(approx (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) (/.f32 (fma.f32 cosTheta #s(approx (- (+ (* -3/2 (/ cosTheta (* c (sqrt (PI))))) (/ 1 c)) (/ 1 (* c (sqrt (PI))))) (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) c)) (/.f32 #s(literal 1 binary32) (.f32 c (sqrt.f32 (PI.f32))))) cosTheta))))))
	51.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) #s(approx (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) (/.f32 #s(approx (+ (* cosTheta (- (+ (* -3/2 (/ cosTheta (* c (sqrt (PI))))) (/ 1 c)) (/ 1 (* c (sqrt (PI)))))) (/ 1 (* c (sqrt (PI))))) (/.f32 #s(literal 1 binary32) (*.f32 c (sqrt.f32 (PI.f32))))) cosTheta))))))
	55.9%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c (+.f32 #s(literal 1 binary32) #s(approx (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI)))))) #s(approx (/ (+ (* cosTheta (- (+ (* -3/2 (/ cosTheta (* c (sqrt (PI))))) (/ 1 c)) (/ 1 (* c (sqrt (PI)))))) (/ 1 (* c (sqrt (PI))))) cosTheta) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (.f32 c cosTheta))))))))
	51.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 c #s(approx (+ 1 (+ (/ 1 c) (/ ( (exp (* -1 (pow cosTheta 2))) (sqrt (- 1 (* 2 cosTheta)))) (* c (* cosTheta (sqrt (PI))))))) (/.f32 #s(literal 1 binary32) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32)))))))))
	11.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (PI.f32)))
	95.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ (* cosTheta (- (+ 1 c) (/ 1 (sqrt (PI))))) (/ 1 (sqrt (PI)))) cosTheta) (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))
	97.6%	(.f32 (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	56.0%	(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (.f32 (+.f32 #s(literal 1 binary32) c) (+.f32 #s(literal 1 binary32) c)) (pow.f32 (/.f32 (sqrt.f32 (/.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta) (PI.f32))) (.f32 cosTheta (exp.f32 (.f32 cosTheta cosTheta)))) #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 cosTheta (exp.f32 (.f32 cosTheta cosTheta))))))
	8.2%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 cosTheta c))
	96.3%	#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))))))))))
	95.2%	#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))))))))))
	91.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
✓	29.1%	#s(approx (PI) cosTheta)
✓	11.1%	#s(approx (PI) #s(literal 1 binary32))

Compiler

Compiled 1 955 to 1 192 computations (39% saved)

regimes563.0ms (12.1%)

Memory

22.9MiB live, 730.7MiB allocated; 59ms collecting garbage

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

6 → 1

19 → 1

21 → 1

24 → 1

30 → 1

37 → 1

39 → 1

41 → 1

53 → 1

62 → 1

Calls

Call 1

Inputs
#s(approx (PI) #s(literal 1 binary32))

Outputs
#s(approx (PI) #s(literal 1 binary32))

Call 2

Inputs
#s(approx (PI) #s(literal 1 binary32))
#s(approx (PI) cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 0 binary32) 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 cosTheta c))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (PI.f32)))

Outputs
#s(approx (PI) cosTheta)

Call 3

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

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

Call 4

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

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

Outputs

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

Call 5

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

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

Outputs

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

Call 6

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

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

Outputs

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

Call 7

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

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

Outputs

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

Call 8

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

Outputs

(/.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 (neg.f32 (*.f32 cosTheta cosTheta))) cosTheta))))

Call 9

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

Outputs

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

Call 10

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

Outputs

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

Call 11

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

Outputs

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

Calls

66 calls:

17.0ms	c
17.0ms	(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))
15.0ms	(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
15.0ms	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
15.0ms	cosTheta

Results

Accuracy	Segments	Branch
11.1%	1	`(+.f32 #s(literal 1 binary32) c)`
11.1%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
11.1%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
11.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
11.1%	1	`cosTheta`
11.1%	1	`c`
29.1%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
29.1%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
29.1%	1	`(+.f32 #s(literal 1 binary32) c)`
29.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
29.1%	1	`cosTheta`
29.1%	1	`c`
91.8%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
91.8%	1	`cosTheta`
91.8%	1	`(+.f32 #s(literal 1 binary32) c)`
91.8%	1	`c`
91.8%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
91.8%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
95.2%	1	`cosTheta`
95.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
95.2%	1	`(+.f32 #s(literal 1 binary32) c)`
95.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.2%	1	`c`
95.2%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
95.2%	1	`(+.f32 #s(literal 1 binary32) c)`
95.2%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
95.2%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
95.2%	1	`cosTheta`
95.2%	1	`c`
96.6%	1	`c`
96.6%	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)))`
96.6%	1	`(+.f32 #s(literal 1 binary32) c)`
96.6%	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))))`
96.6%	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)))))`
96.6%	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`
98.0%	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)))`
98.0%	1	`(+.f32 #s(literal 1 binary32) c)`
98.0%	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))))`
98.0%	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)))))`
98.0%	1	`cosTheta`
98.0%	1	`c`
98.1%	1	`(+.f32 #s(literal 1 binary32) c)`
98.1%	1	`c`
98.1%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.1%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.1%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.1%	1	`cosTheta`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.7%	1	`cosTheta`
98.7%	1	`c`
98.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.7%	1	`cosTheta`
98.7%	1	`c`

Compiler

Compiled 3 748 to 1 135 computations (69.7% saved)

derivations2.0ms (0.1%)

Memory

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

Stop Event

1×

fuel

Compiler

Compiled 390 to 120 computations (69.2% saved)

preprocess65.0ms (1.4%)

Memory: 6.3MiB live, 143.9MiB allocated; 10ms collecting garbage
Compiler: Compiled 415 to 138 computations (66.7% saved)

end0.0ms (0%)

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

start0.0ms (0%)

analyze23.0ms (0.5%)

sample926.0ms (19.8%)

preprocess45.0ms (1%)

series214.0ms (4.6%)

rewrite344.0ms (7.4%)

eval21.0ms (0.5%)

prune18.0ms (0.4%)

series424.0ms (9.1%)

rewrite244.0ms (5.2%)

eval30.0ms (0.6%)

prune26.0ms (0.6%)

series426.0ms (9.1%)

rewrite220.0ms (4.7%)

eval28.0ms (0.6%)

prune27.0ms (0.6%)

series582.0ms (12.5%)

rewrite361.0ms (7.8%)

eval47.0ms (1%)

prune27.0ms (0.6%)

regimes563.0ms (12.1%)

derivations2.0ms (0.1%)

preprocess65.0ms (1.4%)

end0.0ms (0%)

Profiling