Metrics for Beckmann Sample, normalization factor

start0.0ms (0.0%)

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

analyze22.0ms (0.5%)

Memory

-9.1MiB live, 37.7MiB allocated; 8ms collecting garbage

Algorithm

1×

Search

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

Compiler

Compiled 41 to 29 computations (29.3% saved)

sample995.0ms (23.8%)

Memory

60.9MiB live, 2 147.3MiB allocated; 253ms collecting garbage

Samples

710.0ms	8 253×	0	valid
10.0ms	70×	0	invalid
1.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 524.0ms

ival-mult!: 115.0ms (21.9% of total)

ival-div!: 82.0ms (15.6% of total)

ival-sqrt: 75.0ms (14.3% of total)

ival-sub!: 71.0ms (13.6% of total)

ival-exp: 69.0ms (13.2% of total)

ival-add!: 65.0ms (12.4% of total)

ival-neg: 45.0ms (8.6% of total)

adjust: 2.0ms (0.4% of total)

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

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

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

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

Bogosity

preprocess34.0ms (0.8%)

Memory

-45.3MiB live, 55.3MiB allocated; 12ms collecting garbage

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node-limit

Alt Table

Click to see full alt table

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

Status

Accuracy

Program

▶

98.0%

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

Compiler

Compiled 50 to 36 computations (28.0% saved)

sample0.0ms (0.0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Calls

Call 1

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

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

Samples

0.0ms

1×

valid

Compiler

Compiled 10 to 6 computations (40.0% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series57.0ms (1.4%)

Memory

-1.3MiB live, 139.8MiB allocated; 13ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	538	5441

Stop Event

1×	iter-limit

Counts

18 → 100

Calls

Call 1

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

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

Calls

6 calls:

Time	Variable	Point
9.0ms	cosTheta	-inf
7.0ms	cosTheta	inf
3.0ms	cosTheta	0
2.0ms	c	0
1.0ms	c	inf

rewrite137.0ms (3.3%)

Memory

8.2MiB live, 342.2MiB allocated; 29ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

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

Counts

18 → 550

Calls

Call 1

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

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

eval95.0ms (2.3%)

Memory: -17.6MiB live, 196.0MiB allocated; 68ms collecting garbage
Compiler: Compiled 21 754 to 3 305 computations (84.8% saved)

prune23.0ms (0.5%)

Memory

23.3MiB live, 70.4MiB allocated; 4ms collecting garbage

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	620	17	637
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	621	17	638

Accuracy

99.9%

Counts

638 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
	98.2%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
	98.0%	(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)))
	98.4%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
▶	98.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
▶	90.3%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
▶	97.9%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
	90.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 #s(approx ( (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (/.f32 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (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))))
	95.8%	(/.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)))
	93.8%	(/.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)))
	97.9%	(.f32 (pow.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
▶	5.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
	96.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal 3/2 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
	96.1%	#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))))))))))
▶	94.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
	91.3%	#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 926 to 558 computations (39.7% saved)

sample1.0ms (0.0%)

Memory

1.9MiB live, 1.9MiB allocated; 0ms collecting garbage

Calls

Call 1

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

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

Samples

0.0ms

1×

valid

Compiler

Compiled 18 to 11 computations (38.9% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series130.0ms (3.1%)

Memory

-6.1MiB live, 329.5MiB allocated; 30ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1313	14033

Stop Event

1×	iter-limit

Counts

47 → 242

Calls

Call 1

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

Outputs
#s(approx cosTheta cosTheta)
#s(approx (+ (* -2 cosTheta) 1) #s(literal 1 binary32))
#s(approx (+ (* -2 cosTheta) 1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx (sqrt (+ (* -2 cosTheta) 1)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (sqrt (+ (* -2 cosTheta) 1)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (sqrt (+ (* -2 cosTheta) 1)) (+.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 (* cosTheta (sqrt (PI))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (* cosTheta cosTheta) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
#s(approx (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))
#s(approx (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))))))
#s(approx (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
#s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
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#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 c (.f32 cosTheta (*.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32)))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (.f32 (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))) (sqrt.f32 (PI.f32))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 c (.f32 cosTheta (sqrt.f32 (PI.f32)))))) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (.f32 cosTheta (sqrt.f32 (PI.f32))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))) c)) #s(literal 1 binary32)) c)))
#s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))) c)) #s(literal 1 binary32)))))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) cosTheta))) c)) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 9465531/16777216 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) (*.f32 c cosTheta)) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) cosTheta))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) cosTheta)))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) cosTheta))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (.f32 #s(literal 2 binary32) cosTheta)))) cosTheta))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) cosTheta)))) c)) #s(literal 1 binary32)) c)))
#s(approx (- (+ 1 c) (/ 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)))))
#s(approx (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI))))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) c) (.f32 #s(literal -1 binary32) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))))))
#s(approx (* cosTheta (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI)))))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (.f32 cosTheta (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c))))))
#s(approx (* -1 (* cosTheta (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI))))))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 cosTheta (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (/.f32 (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) c)))))
#s(approx (+ (sqrt (PI)) (* -1 (* cosTheta (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI)))))))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) c) (.f32 cosTheta (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))))))
#s(approx (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI))))))))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)))))))

Calls

6 calls:

Time	Variable	Point
13.0ms	cosTheta	inf
12.0ms	cosTheta	-inf
12.0ms	cosTheta	0
10.0ms	c	inf
9.0ms	c	0

rewrite208.0ms (5.0%)

Memory

-15.0MiB live, 557.4MiB allocated; 50ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	62	492
0	101	465
1	445	427
2	2184	422
0	4012	415

Stop Event

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

Counts

47 → 957

Calls

Call 1

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

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

eval139.0ms (3.3%)

Memory: 17.4MiB live, 394.5MiB allocated; 45ms collecting garbage
Compiler: Compiled 40 224 to 6 857 computations (83.0% saved)

prune38.0ms (0.9%)

Memory

6.3MiB live, 111.1MiB allocated; 12ms collecting garbage

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	1 271	17	1 288
Fresh	11	1	12
Picked	5	0	5
Done	0	0	0
Total	1 287	18	1 305

Accuracy

100.0%

Counts

1 305 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
▶	98.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
	97.9%	(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
	98.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
▶	90.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
▶	96.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
	94.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
	97.9%	(.f32 (pow.f32 (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
	98.5%	(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))) (pow.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal -1 binary32)))
	94.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
	91.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
	94.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI))))))))) (.f32 c (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c)))))
	95.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
	94.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
▶	91.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))

Compiler

Compiled 730 to 526 computations (27.9% saved)

sample1.0ms (0.0%)

Memory

1.5MiB live, 1.5MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
(PI)
(sqrt (PI))
-1
-2
1
16777216/9465531
9465531/16777216
7311685/16777216
9465531/33554432
28396593/33554432

Outputs
#s(literal 13176795/4194304 binary32)
#s(literal 14868421/8388608 binary32)
#s(literal -1 binary32)
#s(literal -2 binary32)
#s(literal 1 binary32)
#s(literal 3717105/2097152 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal 7311685/16777216 binary32)
#s(literal 9465531/33554432 binary32)
#s(literal 1774787/2097152 binary32)

Samples

0.0ms

1×

valid

Compiler

Compiled 13 to 12 computations (7.7% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series140.0ms (3.4%)

Memory

13.2MiB live, 344.2MiB allocated; 24ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1720	16864

Stop Event

1×	iter-limit

Counts

47 → 276

Calls

Call 1

Inputs
cosTheta
(*.f32 cosTheta cosTheta)
(exp.f32 (*.f32 cosTheta cosTheta))
(PI.f32)
(sqrt.f32 (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
c
#s(literal -1 binary32)
(-.f32 c #s(literal -1 binary32))
#s(literal -2 binary32)
#s(literal 1 binary32)
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
#s(literal 16777216/9465531 binary32)
(*.f32 #s(literal 16777216/9465531 binary32) cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) c)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
#s(literal 9465531/16777216 binary32)
#s(literal 7311685/16777216 binary32)
#s(literal 9465531/33554432 binary32)
(*.f32 #s(literal 9465531/33554432 binary32) cosTheta)
#s(literal 28396593/33554432 binary32)
(-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))
(.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))
(+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))
(+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))))
(.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))
(+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))))))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(neg.f32 cosTheta)
(*.f32 (neg.f32 cosTheta) cosTheta)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))

Outputs
#s(approx cosTheta cosTheta)
#s(approx (* cosTheta cosTheta) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
#s(approx (* (sqrt (PI)) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))
#s(approx (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))))))
#s(approx (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (* cosTheta -2) 1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx (sqrt (+ (* cosTheta -2) 1)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (sqrt (+ (* cosTheta -2) 1)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (sqrt (+ (* cosTheta -2) 1)) (+.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 (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (+ (* cosTheta -2) 1))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))))
#s(approx (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (+ (* cosTheta -2) 1))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))))
#s(approx (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (+ (* cosTheta -2) 1))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))))
#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (+ (* cosTheta -2) 1)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (+ (* cosTheta -2) 1)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (+ (* cosTheta -2) 1)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1/2 binary32)) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32))))) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))))))) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (* 16777216/9465531 cosTheta) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (+.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -1 binary32) (.f32 cosTheta (+.f32 #s(literal 8388608/9465531 binary32) (fma.f32 #s(literal 16777216/9465531 binary32) (.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (.f32 #s(literal 140737488355328/29865425703987 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c))))))) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
#s(approx (/ 1 (* cosTheta (sqrt (PI)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
#s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 (fma.f32 #s(literal -1 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* 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 (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* 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 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta))))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 1/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (*.f32 #s(literal 3/2 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (*.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal 3/2 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (* 9465531/33554432 cosTheta) (*.f32 #s(literal 9465531/33554432 binary32) cosTheta))
#s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))
#s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))
#s(approx (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
#s(approx (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))
#s(approx (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)
#s(approx (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))
#s(approx (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))))
#s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) c))
#s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))
#s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))))) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))))) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta)))))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))))) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta))
#s(approx (/ (+ (* cosTheta -2) 1) (PI)) (/.f32 #s(literal 1 binary32) (PI.f32)))
#s(approx (/ (+ (* cosTheta -2) 1) (PI)) (fma.f32 #s(literal -2 binary32) (/.f32 cosTheta (PI.f32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))
#s(approx (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1 binary32) (/.f32 cosTheta (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))))
#s(approx (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
#s(approx (sqrt (/ (+ (* cosTheta -2) 1) (PI))) (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32))))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))))
#s(approx (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (/.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) cosTheta))
#s(approx (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 #s(literal -1 binary32) (/.f32 cosTheta (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))))))) cosTheta))
#s(approx (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32))))) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) (/.f32 cosTheta (.f32 (pow.f32 (PI.f32) #s(literal 3 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 5 binary32))))) (.f32 #s(literal 1/2 binary32) (/.f32 #s(literal 1 binary32) (.f32 (pow.f32 (PI.f32) #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) #s(literal 3 binary32))))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
#s(approx (neg cosTheta) (*.f32 #s(literal -1 binary32) cosTheta))
#s(approx (* (neg cosTheta) cosTheta) (*.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#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)))))
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#s(approx (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (/.f32 (+.f32 (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32))) (.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (.f32 (PI.f32) (sqrt.f32 (/.f32 #s(literal 1 binary32) (PI.f32)))))))) cosTheta))
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#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (.f32 #s(literal -1 binary32) (/.f32 (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))) c))))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) (.f32 #s(literal -1 binary32) (.f32 c (fma.f32 #s(literal -1 binary32) cosTheta (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))))) c))))))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 7311685/16777216 binary32) (fma.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta) (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))) c)) #s(literal 1 binary32)))))
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (-.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) cosTheta)))) cosTheta))) c)) #s(literal 1 binary32)))))
#s(approx (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (- c -1)) (.f32 #s(literal -1 binary32) (.f32 c (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)) c)) #s(literal 1 binary32)))))
#s(approx (/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (+.f32 (/.f32 #s(literal 1 binary32) c) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) (*.f32 c cosTheta))) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (* (/ (sqrt (/ (+ (* cosTheta -2) 1) (PI))) cosTheta) (exp (* (neg cosTheta) cosTheta))) (- c -1))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta)) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (/.f32 (.f32 (exp.f32 (.f32 #s(literal -1 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))) (sqrt.f32 (/.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta)) (PI.f32)))) cosTheta))) c)) #s(literal 1 binary32)) c)))

Calls

6 calls:

Time	Variable	Point
16.0ms	cosTheta	-inf
12.0ms	cosTheta	inf
9.0ms	cosTheta	0
7.0ms	c	0
5.0ms	c	-inf

rewrite220.0ms (5.3%)

Memory

-8.2MiB live, 615.9MiB allocated; 45ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	69	441
0	106	438
1	542	429
2	2101	422
0	4227	402

Stop Event

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

Counts

47 → 882

Calls

Call 1

Inputs
cosTheta
(*.f32 cosTheta cosTheta)
(exp.f32 (*.f32 cosTheta cosTheta))
(PI.f32)
(sqrt.f32 (PI.f32))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
c
#s(literal -1 binary32)
(-.f32 c #s(literal -1 binary32))
#s(literal -2 binary32)
#s(literal 1 binary32)
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
#s(literal 16777216/9465531 binary32)
(*.f32 #s(literal 16777216/9465531 binary32) cosTheta)
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
(+.f32 #s(literal 1 binary32) c)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))
(+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
#s(literal 9465531/16777216 binary32)
#s(literal 7311685/16777216 binary32)
#s(literal 9465531/33554432 binary32)
(*.f32 #s(literal 9465531/33554432 binary32) cosTheta)
#s(literal 28396593/33554432 binary32)
(-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))
(.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))
(+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))
(+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))))
(.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))
(+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))))))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))
(sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32)))
(/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta)
(neg.f32 cosTheta)
(*.f32 (neg.f32 cosTheta) cosTheta)
(exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))

Outputs
cosTheta
(*.f32 (neg.f32 (neg.f32 (fabs.f32 cosTheta))) (neg.f32 (neg.f32 (fabs.f32 cosTheta))))
(*.f32 (neg.f32 (neg.f32 (neg.f32 cosTheta))) (neg.f32 (neg.f32 (neg.f32 cosTheta))))
(*.f32 (pow.f32 (fabs.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (fabs.f32 cosTheta) #s(literal 1 binary32)))
(*.f32 (pow.f32 (fabs.f32 cosTheta) #s(literal 1 binary32)) (fabs.f32 cosTheta))
(*.f32 (pow.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (neg.f32 cosTheta) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 cosTheta))
(*.f32 (pow.f32 cosTheta #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 1 binary32)))
(*.f32 (pow.f32 cosTheta #s(literal 1 binary32)) cosTheta)
(*.f32 (pow.f32 cosTheta (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 cosTheta (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (neg.f32 (fabs.f32 cosTheta)))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 (neg.f32 cosTheta)))
(*.f32 (fabs.f32 cosTheta) (fabs.f32 cosTheta))
(*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))
(*.f32 cosTheta cosTheta)
(/.f32 #s(literal 1 binary32) (pow.f32 (fabs.f32 cosTheta) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 cosTheta) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal -2 binary32)))
(sqrt.f32 (.f32 (.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))
(pow.f32 (neg.f32 (fabs.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 cosTheta) #s(literal 2 binary32))
(pow.f32 (neg.f32 cosTheta) #s(literal 2 binary32))
(pow.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(pow.f32 cosTheta #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(fabs.f32 (*.f32 cosTheta cosTheta))
(exp.f32 (*.f32 (log.f32 (fabs.f32 cosTheta)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 cosTheta)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(.f32 (sqrt.f32 (exp.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)))) (cosh.f32 (.f32 cosTheta cosTheta)))
(*.f32 (pow.f32 (exp.f32 cosTheta) (/.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (exp.f32 cosTheta) (/.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (-.f32 (pow.f32 (cosh.f32 (.f32 cosTheta cosTheta)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)) (fma.f32 (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))))
(/.f32 (fma.f32 #s(literal 2 binary32) (sinh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32))
(/.f32 (fma.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 cosTheta cosTheta)))) #s(literal 2 binary32))
(/.f32 (-.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)))) #s(literal 2 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 cosTheta cosTheta))))) #s(literal 4 binary32))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #s(literal 4 binary32))
(/.f32 (-.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (.f32 cosTheta cosTheta)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (.f32 cosTheta cosTheta)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)) (-.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta))) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(sqrt.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))))
(-.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 cosTheta))) (neg.f32 (fabs.f32 cosTheta)))
(pow.f32 (exp.f32 (neg.f32 (neg.f32 cosTheta))) (neg.f32 (neg.f32 cosTheta)))
(pow.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(pow.f32 (exp.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta))
(pow.f32 (exp.f32 cosTheta) cosTheta)
(+.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)))
(+.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta)))
(fabs.f32 (-.f32 (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))))
(fabs.f32 (neg.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta)))))
(fabs.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(fabs.f32 (exp.f32 (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (fabs.f32 cosTheta))) (fabs.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 cosTheta))) (neg.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 cosTheta)) cosTheta))
(exp.f32 (*.f32 cosTheta cosTheta))
(PI.f32)
(*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/6 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (PI.f32) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))) (pow.f32 (PI.f32) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (cbrt.f32 (PI.f32))))
(cbrt.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))
(sqrt.f32 (PI.f32))
(pow.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/6 binary32))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(fabs.f32 (neg.f32 (sqrt.f32 (PI.f32))))
(fabs.f32 (sqrt.f32 (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/6 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) cosTheta)
(*.f32 cosTheta (sqrt.f32 (PI.f32)))
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (PI.f32)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)
(.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))
(.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta))
(.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))))
(fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (*.f32 (sqrt.f32 (PI.f32)) cosTheta)))
(fma.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (*.f32 cosTheta cosTheta))))
(+.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (.f32 (sqrt.f32 (PI.f32)) cosTheta) (sinh.f32 (.f32 cosTheta cosTheta))))
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(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
(neg.f32 (-.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) c)))
(.f32 (pow.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) c))))
(/.f32 #s(literal 2 binary32) (.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) #s(literal 2 binary32)))
(/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) c)) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal -2 binary32) (.f32 (-.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) c)) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) c))))
(/.f32 #s(literal -1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) c)))
(fma.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))) #s(literal 1 binary32) (/.f32 #s(literal 0 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))) (/.f32 #s(literal 0 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
(fma.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) c))) (/.f32 #s(literal 0 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
(pow.f32 (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))) #s(literal -1 binary32))
(+.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))) (/.f32 #s(literal 0 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))))
(exp.f32 (.f32 (log.f32 (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)))) #s(literal -1 binary32)))
(neg.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32))))))
(neg.f32 (/.f32 #s(literal 1 binary32) (-.f32 #s(literal -1 binary32) (fma.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) c))))

eval140.0ms (3.3%)

Memory: 12.0MiB live, 339.5MiB allocated; 31ms collecting garbage
Compiler: Compiled 41 810 to 6 587 computations (84.2% saved)

prune40.0ms (1.0%)

Memory

2.2MiB live, 99.1MiB allocated; 8ms collecting garbage

Pruning

25 alts after pruning (23 fresh and 2 done)

	Pruned	Kept	Total
New	1 184	16	1 200
Fresh	6	7	13
Picked	5	0	5
Done	-2	2	0
Total	1 193	25	1 218

Accuracy

100.0%

Counts

1 218 → 25

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	98.7%	(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
	98.7%	(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
	97.3%	(/.f32 #s(approx (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(approx (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
✓	98.0%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
	97.9%	(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
▶	98.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
	90.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 14868421/8388608 binary32))))))
	96.7%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
	96.1%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
▶	96.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
	59.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal 9465531/16777216 binary32) cosTheta (.f32 (.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta))))
▶	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)))
	94.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
	90.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
	96.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32))))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
	96.5%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
	89.4%	(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))) #s(literal -1 binary32)))
	96.1%	#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (+ (* cosTheta -2) 1)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
	94.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
▶	91.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
	94.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI))))))))) (.f32 c (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c)))))
	95.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
	94.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
✓	91.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))

Compiler

Compiled 964 to 707 computations (26.7% saved)

sample1.0ms (0.0%)

Memory

1.1MiB live, 1.1MiB allocated; 0ms collecting garbage

Calls

Call 1

Inputs
(PI)
(sqrt (PI))
-1
-2
1
9465531/16777216
7311685/16777216
-28396593/33554432
-28396593/33554432
9465531/33554432
14868421/8388608

Outputs
#s(literal 13176795/4194304 binary32)
#s(literal 14868421/8388608 binary32)
#s(literal -1 binary32)
#s(literal -2 binary32)
#s(literal 1 binary32)
#s(literal 9465531/16777216 binary32)
#s(literal 7311685/16777216 binary32)
#s(literal -1774787/2097152 binary32)
#s(literal -1774787/2097152 binary32)
#s(literal 9465531/33554432 binary32)
#s(literal 14868421/8388608 binary32)

Samples

0.0ms

1×

valid

Compiler

Compiled 14 to 12 computations (14.3% saved)

Precisions

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

adjust: 0.0ms (0.0% of total)

series142.0ms (3.4%)

Memory

-28.4MiB live, 265.9MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1651	15142

Stop Event

1×	iter-limit

Counts

47 → 258

Calls

Call 1

Inputs
(PI.f32)
(sqrt.f32 (PI.f32))
cosTheta
(*.f32 cosTheta cosTheta)
(exp.f32 (*.f32 cosTheta cosTheta))
(.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)
c
#s(literal -1 binary32)
(-.f32 c #s(literal -1 binary32))
#s(literal -2 binary32)
#s(literal 1 binary32)
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(*.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 (sqrt.f32 (PI.f32))))
#s(literal 9465531/16777216 binary32)
#s(literal 7311685/16777216 binary32)
#s(literal -28396593/33554432 binary32)
#s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))
(.f32 cosTheta #s(approx (- ( 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)))
(+.f32 c (.f32 cosTheta #s(approx (- ( 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))
(+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- ( 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)))))
(.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))
(+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)))))))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)))
#s(literal 9465531/33554432 binary32)
(fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32))
(fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c)
(fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))
(fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32)))
(/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(+.f32 #s(literal 1 binary32) c)
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
(sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))
#s(literal 14868421/8388608 binary32)
(*.f32 cosTheta #s(literal 14868421/8388608 binary32))
(.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))

Outputs
#s(approx cosTheta cosTheta)
#s(approx (* cosTheta cosTheta) (pow.f32 cosTheta #s(literal 2 binary32)))
#s(approx (exp (* cosTheta cosTheta)) #s(literal 1 binary32))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal 2 binary32))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 1/2 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))
#s(approx (exp (* cosTheta cosTheta)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/6 binary32) (pow.f32 cosTheta #s(literal 2 binary32)))))))))
#s(approx (* (sqrt (PI)) (exp (* cosTheta cosTheta))) (sqrt.f32 (PI.f32)))
#s(approx (* (sqrt (PI)) (exp (* cosTheta cosTheta))) (+.f32 (sqrt.f32 (PI.f32)) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))
#s(approx (* (sqrt (PI)) (exp (* cosTheta cosTheta))) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal 1/2 binary32) (*.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))))
#s(approx (* (sqrt (PI)) (exp (* cosTheta cosTheta))) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)))))))))
#s(approx (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
#s(approx (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))))))
#s(approx (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal 1/2 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))))))
#s(approx (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (fma.f32 #s(literal 1/6 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32))) (*.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32))))))))))
#s(approx (+ (* cosTheta -2) 1) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -2 binary32) cosTheta)))
#s(approx (sqrt (+ (* cosTheta -2) 1)) (+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1 binary32) cosTheta)))
#s(approx (sqrt (+ (* cosTheta -2) 1)) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -1/2 binary32) cosTheta) #s(literal 1 binary32)))))
#s(approx (sqrt (+ (* cosTheta -2) 1)) (+.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 (+ (* (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (- c -1)) (sqrt (+ (* cosTheta -2) 1))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))))
#s(approx (+ (* (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (- c -1)) (sqrt (+ (* cosTheta -2) 1))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 #s(literal -1/2 binary32) cosTheta (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))))
#s(approx (+ (* (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (- c -1)) (sqrt (+ (* cosTheta -2) 1))) (+.f32 #s(literal 1 binary32) (.f32 cosTheta (-.f32 (fma.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1/2 binary32))) #s(literal 1/2 binary32)) (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c))) #s(literal 1 binary32)))))
#s(approx (/ (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (+ (* (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (- c -1)) (sqrt (+ (* cosTheta -2) 1)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (sqrt.f32 (PI.f32)) (-.f32 (*.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (/ (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (+ (* (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (- c -1)) (sqrt (+ (* cosTheta -2) 1)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (/ (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (+ (* (* (* (sqrt (PI)) (exp (* cosTheta cosTheta))) cosTheta) (- c -1)) (sqrt (+ (* cosTheta -2) 1)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal 1/2 binary32) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))) (fma.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1/2 binary32)) (.f32 (-.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32))))) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)))))))) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
#s(approx (/ 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 (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))
#s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))
#s(approx (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)) (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))
#s(approx (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))
#s(approx (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)
#s(approx (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta)))
#s(approx (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))))
#s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) c))
#s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (*.f32 #s(literal -28396593/33554432 binary32) cosTheta))))
#s(approx (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))) (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))))) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c)))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))))) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta)))))
#s(approx (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))))) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))))
#s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta))
#s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
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#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (fma.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 c (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))) (/.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32)) c) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) c)) #s(literal 1 binary32)) c)))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (.f32 #s(literal -1 binary32) (/.f32 (-.f32 (/.f32 (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 3 binary32)) c) (pow.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32))))))) #s(literal 2 binary32))) c)) (+.f32 #s(literal 1 binary32) (.f32 #s(literal 8388608/14868421 binary32) (/.f32 (sqrt.f32 (+.f32 #s(literal 1 binary32) (.f32 #s(literal -2 binary32) cosTheta))) (.f32 cosTheta (exp.f32 (pow.f32 cosTheta #s(literal 2 binary32)))))))) c)) #s(literal 1 binary32)) c)))

Calls

6 calls:

Time	Variable	Point
27.0ms	cosTheta	-inf
8.0ms	cosTheta	inf
5.0ms	cosTheta	0
4.0ms	c	0
3.0ms	c	-inf

rewrite201.0ms (4.8%)

Memory

20.5MiB live, 545.8MiB allocated; 35ms collecting garbage

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	68	499
0	107	490
1	601	471
2	2434	465
0	4042	452

Stop Event

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

Counts

47 → 750

Calls

Call 1

Inputs
(PI.f32)
(sqrt.f32 (PI.f32))
cosTheta
(*.f32 cosTheta cosTheta)
(exp.f32 (*.f32 cosTheta cosTheta))
(.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))
(.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta)
c
#s(literal -1 binary32)
(-.f32 c #s(literal -1 binary32))
#s(literal -2 binary32)
#s(literal 1 binary32)
(fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))
(sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))
(fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(*.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 (sqrt.f32 (PI.f32))))
#s(literal 9465531/16777216 binary32)
#s(literal 7311685/16777216 binary32)
#s(literal -28396593/33554432 binary32)
#s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))
(.f32 cosTheta #s(approx (- ( 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)))
(+.f32 c (.f32 cosTheta #s(approx (- ( 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))
(+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- ( 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)))))
(.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))
(+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)))))))
(/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)))
#s(literal 9465531/33554432 binary32)
(fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32))
(fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c)
(fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))
(fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32)))
(/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)
#s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(+.f32 #s(literal 1 binary32) c)
(fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))
(sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))
#s(literal 14868421/8388608 binary32)
(*.f32 cosTheta #s(literal 14868421/8388608 binary32))
(.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))
(/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))
(+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))

Outputs
(PI.f32)
(*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(.f32 (pow.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/6 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (pow.f32 (.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)))
(*.f32 (pow.f32 (PI.f32) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))) (pow.f32 (PI.f32) (/.f32 #s(literal 1/2 binary32) #s(literal 2 binary32))))
(*.f32 (sqrt.f32 (cbrt.f32 (PI.f32))) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/2 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 1/2 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (cbrt.f32 (PI.f32))))
(cbrt.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))))
(sqrt.f32 (PI.f32))
(pow.f32 (sqrt.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (.f32 (.f32 (PI.f32) (PI.f32)) (PI.f32)) #s(literal 1/6 binary32))
(pow.f32 (PI.f32) #s(literal 1/2 binary32))
(fabs.f32 (neg.f32 (neg.f32 (sqrt.f32 (PI.f32)))))
(fabs.f32 (neg.f32 (sqrt.f32 (PI.f32))))
(fabs.f32 (sqrt.f32 (PI.f32)))
(exp.f32 (.f32 (log.f32 (.f32 (*.f32 (PI.f32) (PI.f32)) (PI.f32))) #s(literal 1/6 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 1/2 binary32)))
cosTheta
(*.f32 (neg.f32 (neg.f32 (fabs.f32 cosTheta))) (neg.f32 (neg.f32 (fabs.f32 cosTheta))))
(*.f32 (neg.f32 (neg.f32 (neg.f32 cosTheta))) (neg.f32 (neg.f32 (neg.f32 cosTheta))))
(*.f32 (pow.f32 (fabs.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (fabs.f32 cosTheta) #s(literal 1 binary32)))
(*.f32 (pow.f32 (fabs.f32 cosTheta) #s(literal 1 binary32)) (fabs.f32 cosTheta))
(*.f32 (pow.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (pow.f32 (neg.f32 cosTheta) #s(literal 1 binary32)))
(*.f32 (pow.f32 (neg.f32 cosTheta) #s(literal 1 binary32)) (neg.f32 cosTheta))
(*.f32 (pow.f32 cosTheta #s(literal 1 binary32)) (pow.f32 cosTheta #s(literal 1 binary32)))
(*.f32 (pow.f32 cosTheta #s(literal 1 binary32)) cosTheta)
(*.f32 (pow.f32 cosTheta (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))) (pow.f32 cosTheta (/.f32 #s(literal 2 binary32) #s(literal 2 binary32))))
(*.f32 (neg.f32 (fabs.f32 cosTheta)) (neg.f32 (fabs.f32 cosTheta)))
(*.f32 (neg.f32 (neg.f32 cosTheta)) (neg.f32 (neg.f32 cosTheta)))
(*.f32 (fabs.f32 cosTheta) (fabs.f32 cosTheta))
(*.f32 (neg.f32 cosTheta) (neg.f32 cosTheta))
(*.f32 cosTheta cosTheta)
(/.f32 #s(literal 1 binary32) (pow.f32 (fabs.f32 cosTheta) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (neg.f32 cosTheta) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 cosTheta #s(literal -2 binary32)))
(sqrt.f32 (.f32 (.f32 cosTheta cosTheta) (*.f32 cosTheta cosTheta)))
(pow.f32 (neg.f32 (fabs.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (neg.f32 (neg.f32 cosTheta)) #s(literal 2 binary32))
(pow.f32 (fabs.f32 cosTheta) #s(literal 2 binary32))
(pow.f32 (neg.f32 cosTheta) #s(literal 2 binary32))
(pow.f32 (*.f32 cosTheta cosTheta) #s(literal 1 binary32))
(pow.f32 cosTheta #s(literal 2 binary32))
(fabs.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(fabs.f32 (*.f32 cosTheta cosTheta))
(exp.f32 (*.f32 (log.f32 (fabs.f32 cosTheta)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 cosTheta)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 cosTheta) #s(literal 2 binary32)))
(neg.f32 (*.f32 (neg.f32 cosTheta) cosTheta))
(.f32 (sqrt.f32 (exp.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (+.f32 #s(literal 1 binary32) (/.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)))) (cosh.f32 (.f32 cosTheta cosTheta)))
(*.f32 (pow.f32 (exp.f32 cosTheta) (/.f32 cosTheta #s(literal 2 binary32))) (pow.f32 (exp.f32 cosTheta) (/.f32 cosTheta #s(literal 2 binary32))))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (cosh.f32 (*.f32 cosTheta cosTheta))))) #s(literal 4 binary32))
(/.f32 (fma.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (*.f32 cosTheta cosTheta))))) #s(literal 4 binary32))
(/.f32 (-.f32 (.f32 (.f32 #s(literal 2 binary32) (cosh.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32)) (.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta))))) #s(literal 4 binary32))
(/.f32 (-.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta)))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(/.f32 (+.f32 (pow.f32 (cosh.f32 (.f32 cosTheta cosTheta)) #s(literal 3 binary32)) (pow.f32 (sinh.f32 (.f32 cosTheta cosTheta)) #s(literal 3 binary32))) (fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)) (-.f32 (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta))) (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))
(sqrt.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))))
(-.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)))
(pow.f32 (exp.f32 (neg.f32 (fabs.f32 cosTheta))) (neg.f32 (fabs.f32 cosTheta)))
(pow.f32 (exp.f32 (neg.f32 (neg.f32 cosTheta))) (neg.f32 (neg.f32 cosTheta)))
(pow.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))) #s(literal 1/2 binary32))
(pow.f32 (exp.f32 (fabs.f32 cosTheta)) (fabs.f32 cosTheta))
(pow.f32 (exp.f32 cosTheta) cosTheta)
(pow.f32 (exp.f32 (neg.f32 cosTheta)) (neg.f32 cosTheta))
(+.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta)))
(+.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sinh.f32 (.f32 cosTheta cosTheta)))
(fabs.f32 (-.f32 (sinh.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (cosh.f32 (.f32 cosTheta cosTheta))))
(fabs.f32 (neg.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta)))))
(fabs.f32 (neg.f32 (exp.f32 (*.f32 cosTheta cosTheta))))
(fabs.f32 (exp.f32 (*.f32 cosTheta cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (fabs.f32 cosTheta))) (fabs.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 (neg.f32 cosTheta))) (neg.f32 cosTheta)))
(exp.f32 (*.f32 (log.f32 (exp.f32 cosTheta)) cosTheta))
(exp.f32 (*.f32 cosTheta cosTheta))
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))
(.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta)))
(sqrt.f32 (.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))))
(sqrt.f32 (.f32 (exp.f32 (.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32))) (PI.f32)))
(sqrt.f32 (.f32 (PI.f32) (exp.f32 (.f32 (*.f32 cosTheta cosTheta) #s(literal 2 binary32)))))
(fma.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)) (.f32 (sinh.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))
(fma.f32 (sqrt.f32 (PI.f32)) (cosh.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) (sinh.f32 (*.f32 cosTheta cosTheta))))
(+.f32 (.f32 (sqrt.f32 (PI.f32)) (cosh.f32 (.f32 cosTheta cosTheta))) (.f32 (sqrt.f32 (PI.f32)) (sinh.f32 (.f32 cosTheta cosTheta))))
(+.f32 (.f32 (cosh.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) (.f32 (sinh.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))
(fabs.f32 (.f32 (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (sqrt.f32 (PI.f32)))))
(fabs.f32 (.f32 (neg.f32 (exp.f32 (.f32 cosTheta cosTheta))) (sqrt.f32 (PI.f32))))
(fabs.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (neg.f32 (sqrt.f32 (PI.f32)))))
(fabs.f32 (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta)))))
(fabs.f32 (.f32 (neg.f32 (sqrt.f32 (PI.f32))) (exp.f32 (.f32 cosTheta cosTheta))))
(fabs.f32 (.f32 (sqrt.f32 (PI.f32)) (neg.f32 (exp.f32 (.f32 cosTheta cosTheta)))))
(fabs.f32 (neg.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32)))))
(fabs.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) (sqrt.f32 (PI.f32)))
(.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta)))
(.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))) cosTheta)
(.f32 (exp.f32 (.f32 cosTheta cosTheta)) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(.f32 cosTheta (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (sqrt.f32 (PI.f32))))
(.f32 (sqrt.f32 (PI.f32)) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta))
c
#s(literal -1 binary32)
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) c)) c)
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 c) #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (+.f32 #s(literal 1 binary32) (/.f32 c #s(literal 1 binary32))) #s(literal 1 binary32))
(*.f32 (-.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) c)) c)
(/.f32 (-.f32 (.f32 c c) (.f32 #s(literal 1 binary32) #s(literal 1 binary32))) (-.f32 c #s(literal 1 binary32)))
(/.f32 (-.f32 (.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 (neg.f32 c) (neg.f32 c))) (+.f32 #s(literal 1 binary32) (neg.f32 c)))
(/.f32 (+.f32 (pow.f32 c #s(literal 3 binary32)) (pow.f32 #s(literal 1 binary32) #s(literal 3 binary32))) (fma.f32 c c (-.f32 (.f32 #s(literal 1 binary32) #s(literal 1 binary32)) (.f32 c #s(literal 1 binary32)))))
(/.f32 (-.f32 (pow.f32 #s(literal 1 binary32) #s(literal 3 binary32)) (pow.f32 (neg.f32 c) #s(literal 3 binary32))) (fma.f32 #s(literal 1 binary32) #s(literal 1 binary32) (fma.f32 (neg.f32 c) (neg.f32 c) (*.f32 #s(literal 1 binary32) (neg.f32 c)))))
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(/.f32 (+.f32 (pow.f32 (-.f32 c #s(literal -1 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) #s(literal 3 binary32))) (fma.f32 (-.f32 c #s(literal -1 binary32)) (-.f32 c #s(literal -1 binary32)) (-.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))))) (.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))))
(-.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) (neg.f32 c))
(-.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) c) #s(literal -1 binary32))
(-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))
(-.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
(-.f32 #s(literal 1 binary32) (-.f32 (neg.f32 c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(-.f32 #s(literal 1 binary32) (+.f32 (neg.f32 c) (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(-.f32 #s(literal 1 binary32) (neg.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) c)))
(-.f32 c (-.f32 #s(literal -1 binary32) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(-.f32 c (+.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(fma.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32)))
(fma.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (/.f32 #s(literal -1 binary32) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 c #s(literal -1 binary32)))
(fma.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (-.f32 c #s(literal -1 binary32)))
(fma.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (-.f32 c #s(literal -1 binary32)))
(+.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) #s(literal 1 binary32)) c)
(+.f32 (/.f32 (.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))))
(+.f32 (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) c) #s(literal 1 binary32))
(+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 c #s(literal -1 binary32)))
(+.f32 (-.f32 c #s(literal -1 binary32)) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))))
(+.f32 #s(literal 1 binary32) (+.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) c))
(+.f32 c (+.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(+.f32 c (-.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))))
(neg.f32 (neg.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))))) (pow.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) #s(literal -1 binary32)))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta))))
(.f32 (pow.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(.f32 (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))) #s(literal 1 binary32))
(.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))))
(.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))))
(/.f32 (.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) #s(literal 2 binary32)) (.f32 (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))) #s(literal 2 binary32)))
(/.f32 (.f32 #s(literal 2 binary32) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (.f32 #s(literal 2 binary32) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))))))
(/.f32 (.f32 (neg.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 cosTheta cosTheta))) (neg.f32 (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))))))
(/.f32 #s(literal 2 binary32) (.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)) #s(literal 2 binary32)))
(/.f32 #s(literal 2 binary32) (.f32 #s(literal 2 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))))
(/.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (pow.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)))
(/.f32 #s(literal -2 binary32) (.f32 (neg.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))) #s(literal 2 binary32)))
(/.f32 #s(literal -2 binary32) (.f32 #s(literal 2 binary32) (neg.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))))
(pow.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)) #s(literal -1 binary32))
(exp.f32 (.f32 (log.f32 (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))) #s(literal -1 binary32)))
(neg.f32 (.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (-.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (*.f32 cosTheta cosTheta)))) (-.f32 #s(literal -1 binary32) c))))

eval116.0ms (2.8%)

Memory: -15.6MiB live, 316.7MiB allocated; 39ms collecting garbage
Compiler: Compiled 33 430 to 5 460 computations (83.7% saved)

prune38.0ms (0.9%)

Memory

20.1MiB live, 114.1MiB allocated; 5ms collecting garbage

Pruning

29 alts after pruning (27 fresh and 2 done)

	Pruned	Kept	Total
New	961	20	981
Fresh	11	7	18
Picked	5	0	5
Done	0	2	2
Total	977	29	1 006

Accuracy

100.0%

Counts

1 006 → 29

Alt Table

Click to see full alt table

Status	Accuracy	Program
	98.7%	(/.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
	98.7%	(/.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))))
	98.8%	(/.f32 (.f32 (sqrt.f32 (.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))) (PI.f32))) cosTheta) (fma.f32 (.f32 (sqrt.f32 (.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
	98.6%	(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
	98.5%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))
	90.2%	(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))))
	96.4%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 4194304/14868421 binary32) cosTheta) #s(literal 12582912/14868421 binary32))))))) cosTheta)))
	93.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
✓	96.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
	96.2%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
	59.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal 9465531/16777216 binary32) cosTheta (.f32 (.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta cosTheta))))
	94.0%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
	90.8%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
	96.6%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32))))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 #s(literal 7311685/16777216 binary32) (/.f32 (-.f32 #s(literal -9465531/16777216 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta)) cosTheta))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
	96.1%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
	96.7%	(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
	89.4%	(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))) #s(literal -1 binary32)))
	89.4%	(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta))))) #s(literal -1 binary32)))
	96.1%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 221069943033241/70368744177664 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c)))))))
	94.4%	#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
	89.5%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))))
	91.3%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
	94.4%	#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI))))))))) (.f32 c (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c)))))
	95.8%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
	94.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
✓	91.1%	#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))

Compiler

Compiled 503 to 396 computations (21.3% saved)

regimes883.0ms (21.1%)

Memory

13.4MiB live, 2 552.8MiB allocated; 188ms collecting garbage

Counts

1 → 1

8 → 1

10 → 1

16 → 1

18 → 1

22 → 1

27 → 1

39 → 1

40 → 1

42 → 1

57 → 1

59 → 1

62 → 1

71 → 1

Calls

Call 1

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

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

Call 2

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))))

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

Call 3

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))

Outputs

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

Call 4

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

Outputs

#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (*.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (*.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))

Call 5

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

Outputs

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

Call 6

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

Outputs

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

Call 7

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

Outputs

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

Call 8

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 14868421/8388608 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 #s(literal 7311685/16777216 binary32) (/.f32 (-.f32 #s(literal -9465531/16777216 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 4194304/14868421 binary32) cosTheta) #s(literal 12582912/14868421 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 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)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal 9465531/16777216 binary32) cosTheta (.f32 (.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta 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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))

Outputs

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

Call 9

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 14868421/8388608 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 #s(literal 7311685/16777216 binary32) (/.f32 (-.f32 #s(literal -9465531/16777216 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 4194304/14868421 binary32) cosTheta) #s(literal 12582912/14868421 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 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)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal 9465531/16777216 binary32) cosTheta (.f32 (.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta 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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))

Call 10

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 14868421/8388608 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 #s(literal 7311685/16777216 binary32) (/.f32 (-.f32 #s(literal -9465531/16777216 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 4194304/14868421 binary32) cosTheta) #s(literal 12582912/14868421 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 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)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal 9465531/16777216 binary32) cosTheta (.f32 (.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta 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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))

Outputs

(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))

Call 11

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 14868421/8388608 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 #s(literal 7311685/16777216 binary32) (/.f32 (-.f32 #s(literal -9465531/16777216 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 4194304/14868421 binary32) cosTheta) #s(literal 12582912/14868421 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 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)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal 9465531/16777216 binary32) cosTheta (.f32 (.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta 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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 221069943033241/70368744177664 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 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) (+.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)))))

Outputs

(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))

Call 12

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 14868421/8388608 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 #s(literal 7311685/16777216 binary32) (/.f32 (-.f32 #s(literal -9465531/16777216 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 4194304/14868421 binary32) cosTheta) #s(literal 12582912/14868421 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 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)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal 9465531/16777216 binary32) cosTheta (.f32 (.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta 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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 221069943033241/70368744177664 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 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) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(/.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))))

Outputs

(/.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (fma.f32 (*.f32 (exp.f32 (*.f32 cosTheta cosTheta)) (*.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))

Call 13

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
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(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))

Outputs

(/.f32 (*.f32 (*.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) (fma.f32 (*.f32 (*.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (*.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))

Call 14

Inputs
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 #s(literal 16777216/9465531 binary32) cosTheta))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta #s(literal 14868421/8388608 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (/.f32 #s(literal 1 binary32) c))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (*.f32 cosTheta (sqrt.f32 (PI.f32))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(approx (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 8388608/14868421 binary32) cosTheta))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 #s(literal -281474976710656/89596277111961 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 #s(literal -221069943033241/70368744177664 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (*.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) #s(approx (+ c ( cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432))) c)))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (*.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) c))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta #s(literal 14868421/8388608 binary32))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta (sqrt (PI))) (exp (* cosTheta cosTheta)))) (/.f32 #s(literal 1 binary32) (*.f32 cosTheta (sqrt.f32 (PI.f32)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 (-.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 binary32)) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 #s(literal -28396593/33554432 binary32) cosTheta))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 #s(approx (- (* 9465531/33554432 cosTheta) 28396593/33554432) #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 (fma.f32 (.f32 (PI.f32) cosTheta) (-.f32 (-.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) c) (sqrt.f32 (PI.f32))) cosTheta))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal -28396593/33554432 binary32) cosTheta) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (-.f32 #s(literal 7311685/16777216 binary32) (/.f32 (-.f32 #s(literal -9465531/16777216 binary32) (*.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta)) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (+.f32 #s(literal 7311685/16777216 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta))))) (/.f32 (+.f32 #s(literal 8388608/14868421 binary32) (.f32 cosTheta (+.f32 #s(literal 6479813/14868421 binary32) (+.f32 c (.f32 cosTheta (-.f32 (*.f32 #s(literal 4194304/14868421 binary32) cosTheta) #s(literal 12582912/14868421 binary32))))))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) #s(approx (/ (+ 9465531/16777216 (* cosTheta (+ 7311685/16777216 (+ c (* cosTheta (- (* 9465531/33554432 cosTheta) 28396593/33554432)))))) cosTheta) (+.f32 c (+.f32 (+.f32 #s(literal 7311685/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32)))) (*.f32 #s(literal 9465531/16777216 binary32) (/.f32 #s(literal 1 binary32) cosTheta)))))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta #s(literal 7311685/16777216 binary32) (fma.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) cosTheta #s(literal 9465531/16777216 binary32))) cosTheta)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 #s(literal 1 binary32) (/.f32 cosTheta (fma.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta #s(literal 9465531/16777216 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)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (+.f32 #s(literal 9465531/16777216 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (*.f32 #s(literal 9465531/33554432 binary32) cosTheta) #s(literal 28396593/33554432 binary32))) #s(literal 9465531/16777216 binary32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 #s(literal 9465531/16777216 binary32) cosTheta (.f32 (.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) cosTheta) cosTheta)) (*.f32 cosTheta 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 #s(literal 1 binary32) (.f32 cosTheta (sqrt.f32 (PI.f32))))) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)))))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 #s(literal 7311685/16777216 binary32) (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) (/.f32 #s(literal -9465531/16777216 binary32) cosTheta))))) #s(literal -1 binary32)))
(exp.f32 (.f32 (log.f32 #s(approx (+ (+ 1 c) ( (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (+.f32 (-.f32 (fma.f32 (fma.f32 #s(literal 9465531/33554432 binary32) cosTheta #s(literal -28396593/33554432 binary32)) cosTheta c) #s(literal -7311685/16777216 binary32)) (/.f32 #s(literal 9465531/16777216 binary32) cosTheta)))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) #s(approx (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta) (/.f32 #s(literal 1 binary32) cosTheta))) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta #s(literal 14868421/8388608 binary32)) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta) #s(literal 14868421/8388608 binary32)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (-.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)))
(/.f32 #s(literal 1 binary32) #s(approx (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta)))) (/.f32 (fma.f32 cosTheta (-.f32 (+.f32 #s(literal 1 binary32) (+.f32 c (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta)))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) #s(approx (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))) (/.f32 (fma.f32 cosTheta (-.f32 (*.f32 #s(literal -3/2 binary32) (/.f32 cosTheta (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) cosTheta))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 #s(literal 9465531/16777216 binary32) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) cosTheta) (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (fma.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)) (PI.f32))) cosTheta) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (.f32 cosTheta (sqrt.f32 (PI.f32))) (exp.f32 (*.f32 cosTheta cosTheta))))))
(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 (/.f32 (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (sqrt.f32 (PI.f32)))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* 9465531/16777216 (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 #s(literal 16777216/9465531 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 8388608/3155177 binary32) (.f32 #s(literal -4722366482869645213696/848076338487857316291 binary32) (pow.f32 (+.f32 #s(literal 7311685/16777216 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 281474976710656/89596277111961 binary32) (+.f32 #s(literal 7311685/16777216 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (/ (sqrt (+ (* -2 cosTheta) 1)) (* (* cosTheta 14868421/8388608) (exp (* cosTheta cosTheta)))))) (.f32 cosTheta (+.f32 #s(literal 14868421/8388608 binary32) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 #s(literal 44605263/16777216 binary32) (.f32 #s(literal -3286960983464244182461/590295810358705651712 binary32) (pow.f32 (+.f32 #s(literal 6479813/14868421 binary32) c) #s(literal 2 binary32))))) (*.f32 #s(literal 221069943033241/70368744177664 binary32) (+.f32 #s(literal 6479813/14868421 binary32) c)))))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 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) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))
(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 #s(literal 14868421/8388608 binary32) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(/.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) cosTheta) (exp.f32 (.f32 cosTheta cosTheta))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)))))
(/.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (fma.f32 (.f32 (.f32 #s(literal 14868421/8388608 binary32) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(/.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(/.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (fma.f32 (.f32 (.f32 (sqrt.f32 (PI.f32)) (exp.f32 (.f32 cosTheta cosTheta))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(/.f32 (.f32 (sqrt.f32 (.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))) (PI.f32))) cosTheta) (fma.f32 (.f32 (sqrt.f32 (.f32 (exp.f32 (.f32 (.f32 cosTheta cosTheta) #s(literal 2 binary32))) (PI.f32))) cosTheta) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
(/.f32 #s(approx (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(approx (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (sqrt.f32 (PI.f32)))))) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32)))))
#s(approx (/ (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (+ (* (* (exp (* cosTheta cosTheta)) (* (sqrt (PI)) cosTheta)) (- c -1)) (sqrt (+ (* cosTheta -2) 1)))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (sqrt.f32 (PI.f32)) (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (pow.f32 (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32)) #s(literal 2 binary32))) (.f32 #s(literal -1/2 binary32) (sqrt.f32 (PI.f32)))))) (.f32 (sqrt.f32 (PI.f32)) (-.f32 (.f32 (sqrt.f32 (PI.f32)) (+.f32 #s(literal 1 binary32) c)) #s(literal 1 binary32))))))))
(.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (.f32 (exp.f32 (.f32 cosTheta cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) (-.f32 c #s(literal -1 binary32)) (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))))) (pow.f32 (/.f32 (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (.f32 (sqrt.f32 (PI.f32)) cosTheta)) #s(literal -1 binary32)))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) #s(approx (* cosTheta (+ (sqrt (PI)) (* -1 (* cosTheta (* (pow (sqrt (PI)) 2) (- (+ 1 c) (/ 1 (sqrt (PI))))))))) (.f32 c (fma.f32 #s(literal -1 binary32) (.f32 (pow.f32 cosTheta #s(literal 2 binary32)) (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))) (/.f32 (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 cosTheta (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))) c)))))
#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 (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (fma.f32 (.f32 (/.f32 (sqrt.f32 (fma.f32 cosTheta #s(literal -2 binary32) #s(literal 1 binary32))) cosTheta) #s(literal 9465531/16777216 binary32)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)) (-.f32 c #s(literal -1 binary32))) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
(.f32 (pow.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))) (pow.f32 (-.f32 (/.f32 (sqrt.f32 (/.f32 (fma.f32 #s(literal -2 binary32) cosTheta #s(literal 1 binary32)) (PI.f32))) (.f32 (exp.f32 (*.f32 cosTheta cosTheta)) cosTheta)) (-.f32 #s(literal -1 binary32) c)) (/.f32 #s(literal -1 binary32) #s(literal 2 binary32))))
#s(approx (/ 1 (+ (+ 1 c) (* (* (/ 1 (sqrt (PI))) (/ (sqrt (- (- 1 cosTheta) cosTheta)) cosTheta)) (exp (* (neg cosTheta) cosTheta))))) (.f32 cosTheta (+.f32 (sqrt.f32 (PI.f32)) (.f32 cosTheta (-.f32 (.f32 cosTheta (-.f32 (.f32 #s(literal -1 binary32) (.f32 cosTheta (fma.f32 #s(literal -1 binary32) (.f32 (sqrt.f32 (PI.f32)) (.f32 (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))) (fma.f32 #s(literal 1/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal 3/2 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))))))) (fma.f32 #s(literal -3/2 binary32) (sqrt.f32 (PI.f32)) (.f32 #s(literal -1 binary32) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 3 binary32)) (pow.f32 (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) #s(literal 2 binary32))))))) (.f32 (pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32)) (-.f32 (+.f32 #s(literal 1 binary32) c) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))))))))

Outputs

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

Calls

84 calls:

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

Results

Accuracy	Segments	Branch
91.1%	1	`(+.f32 #s(literal 1 binary32) c)`
91.1%	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)))))`
91.1%	1	`cosTheta`
91.1%	1	`c`
91.1%	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)))`
91.1%	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))))`
91.3%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
91.3%	1	`(+.f32 #s(literal 1 binary32) c)`
91.3%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
91.3%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
91.3%	1	`cosTheta`
91.3%	1	`c`
94.1%	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)))`
94.1%	1	`(+.f32 #s(literal 1 binary32) c)`
94.1%	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))))`
94.1%	1	`c`
94.1%	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)))))`
94.1%	1	`cosTheta`
94.4%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
94.4%	1	`cosTheta`
94.4%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
94.4%	1	`(+.f32 #s(literal 1 binary32) c)`
94.4%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
94.4%	1	`c`
96.1%	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)))`
96.1%	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))))`
96.1%	1	`(+.f32 #s(literal 1 binary32) c)`
96.1%	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)))))`
96.1%	1	`cosTheta`
96.1%	1	`c`
96.2%	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)))))`
96.2%	1	`cosTheta`
96.2%	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)))`
96.2%	1	`(+.f32 #s(literal 1 binary32) c)`
96.2%	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))))`
96.2%	1	`c`
96.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
96.7%	1	`(+.f32 #s(literal 1 binary32) c)`
96.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.7%	1	`cosTheta`
96.7%	1	`c`
96.8%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
96.8%	1	`(+.f32 #s(literal 1 binary32) c)`
96.8%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
96.8%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
96.8%	1	`cosTheta`
96.8%	1	`c`
98.5%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.5%	1	`cosTheta`
98.5%	1	`c`
98.5%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.5%	1	`(+.f32 #s(literal 1 binary32) c)`
98.5%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.5%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.5%	1	`(+.f32 #s(literal 1 binary32) c)`
98.5%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.5%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.5%	1	`cosTheta`
98.5%	1	`c`
98.6%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.6%	1	`(+.f32 #s(literal 1 binary32) c)`
98.6%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.6%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.6%	1	`cosTheta`
98.6%	1	`c`
98.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.7%	1	`cosTheta`
98.7%	1	`c`
98.7%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.7%	1	`(+.f32 #s(literal 1 binary32) c)`
98.7%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.7%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.7%	1	`cosTheta`
98.7%	1	`c`
98.8%	1	`(.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))`
98.8%	1	`(+.f32 #s(literal 1 binary32) c)`
98.8%	1	`(+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta))))`
98.8%	1	`(/.f32 #s(literal 1 binary32) (+.f32 (+.f32 #s(literal 1 binary32) c) (.f32 (.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (-.f32 (-.f32 #s(literal 1 binary32) cosTheta) cosTheta)) cosTheta)) (exp.f32 (*.f32 (neg.f32 cosTheta) cosTheta)))))`
98.8%	1	`cosTheta`
98.8%	1	`c`

Compiler

Compiled 2 521 to 1 235 computations (51.0% saved)

derivations172.0ms (4.1%)

Memory

-29.3MiB live, 302.4MiB allocated; 44ms collecting garbage

Stop Event

1×

fuel

Compiler

Compiled 241 to 99 computations (58.9% saved)

preprocess208.0ms (5.0%)

Memory: 270.6MiB live, 535.4MiB allocated; 136ms collecting garbage
Compiler: Compiled 266 to 117 computations (56.0% saved)

end0.0ms (0.0%)

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

start0.0ms (0.0%)

analyze22.0ms (0.5%)

sample995.0ms (23.8%)

preprocess34.0ms (0.8%)

sample0.0ms (0.0%)

series57.0ms (1.4%)

rewrite137.0ms (3.3%)

eval95.0ms (2.3%)

prune23.0ms (0.5%)

sample1.0ms (0.0%)

series130.0ms (3.1%)

rewrite208.0ms (5.0%)

eval139.0ms (3.3%)

prune38.0ms (0.9%)

sample1.0ms (0.0%)

series140.0ms (3.4%)

rewrite220.0ms (5.3%)

eval140.0ms (3.3%)

prune40.0ms (1.0%)

sample1.0ms (0.0%)

series142.0ms (3.4%)

rewrite201.0ms (4.8%)

eval116.0ms (2.8%)

prune38.0ms (0.9%)

regimes883.0ms (21.1%)

derivations172.0ms (4.1%)

preprocess208.0ms (5.0%)

end0.0ms (0.0%)

Profiling